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Spurious correlation #1,121 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air pollution in Dallas and the second variable is Physical album shipment volume in the United States.  The chart goes from 1999 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the air over Dallas cleared up, it created a domino effect on a global scale. You see, the reduction in air pollution led to a surge in productivity in the local area. This, in turn, caused a spike in the production of bubble wrap. Now, bubble wrap happens to be a crucial component in the packaging of physical albums. With the increased productivity and availability of bubble wrap in Dallas, there was a nationwide shortage of bubble wrap for other industries, including the physical album shipment sector. As a result, the physical album shipment volume in the United States saw a significant decrease. Who knew that the secret to addressing the music industry's challenges lay in the air over Dallas?

Model: dalle-3
Prompt: [ Whimsical illustration ] - Generate an atmospheric illustration of a bustling downtown Dallas street scene. The focus is on the transformation of the environment: from a bustling, polluted street to a more serene, cleaner atmosphere. Capture the transition by showcasing fewer emissions from cars, symbolized by whimsical, playful visuals of vehicles emitting flowers or bubbles instead of harmful gases. Include bright, vibrant colors to depict the positive change in air quality. Meanwhile, at the recording studio, showcase the lively, upbeat energy of the musicians as they set up for a live performance - perhaps with musical notes dancing around them. Across the street, illustrate the mail carrier loading fewer packages onto their van, indicating the decrease in physical album shipments, such as by showcasing a reduction in the size or number of the packages. The focus should be on the optimism and excitement of the musicians as they prioritize their upcoming live performance over physical album production, symbolized by confident expressions, smiles, and high-fives exchanged between them. Create a sense of camaraderie and celebration as the scene exudes a feeling of positive change and artistic freedom. The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.
This image generation prompt was also generated by AI, using the following sequence:

Model: gpt-3.5-turbo-1106
System prompt: You select one of a few potential scene descriptors that seems to go along with the situation described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here is a situation: A decrease in poor air quality in Dallas caused a decrease in physical album shipment volume in the United States because musicians were finally able to breathe freely and their lung capacity increased, leading them to focus more on live performances than physical album production. With their newfound ability to hit those high notes with ease, they prioritized touring over recording in stuffy studios, ultimately leading to a decline in physical album shipments.. Given that situation, which of the following image descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand and the tone of the explanation. Please respond with only one of the following potential descriptions: Hyper-realistic Symbolism Whimsical illustration An image that looks like it is a scene from A Disney Movie Macabre
ChatGPT: Whimsical illustration

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated and the explanation described. Do not reference graphs or charts; describe physical objects.
User prompt: Please describe a visual scene that depicts the following situation. Keep the description simple. A decrease in poor air quality in Dallas caused a decrease in physical album shipment volume in the United States because musicians were finally able to breathe freely and their lung capacity increased, leading them to focus more on live performances than physical album production. With their newfound ability to hit those high notes with ease, they prioritized touring over recording in stuffy studios, ultimately leading to a decline in physical album shipments.
ChatGPT: Imagine a bustling street in downtown Dallas with people and cars moving around. The air quality is gradually improving as fewer cars emit pollution, and the street starts to look clearer. Alongside the street, there is a recording studio where musicians are seen setting up for a live performance. Across the street, a mail carrier is loading fewer packages into their van, signifying a decrease in physical album shipments. The musicians, now with improved lung capacity, are confidently preparing for their live show, exchanging smiles and high-fives as they prioritize the upcoming performance over recording physical albums.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ Whimsical illustration ] and depicting this scene: Imagine a bustling street in downtown Dallas with people and cars moving around. The air quality is gradually improving as fewer cars emit pollution, and the street starts to look clearer. Alongside the street, there is a recording studio where musicians are seen setting up for a live performance. Across the street, a mail carrier is loading fewer packages into their van, signifying a decrease in physical album shipments. The musicians, now with improved lung capacity, are confidently preparing for their live show, exchanging smiles and high-fives as they prioritize the upcoming performance over recording physical albums. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ Whimsical illustration ] - Generate an atmospheric illustration of a bustling downtown Dallas street scene. The focus is on the transformation of the environment: from a bustling, polluted street to a more serene, cleaner atmosphere. Capture the transition by showcasing fewer emissions from cars, symbolized by whimsical, playful visuals of vehicles emitting flowers or bubbles instead of harmful gases. Include bright, vibrant colors to depict the positive change in air quality. Meanwhile, at the recording studio, showcase the lively, upbeat energy of the musicians as they set up for a live performance - perhaps with musical notes dancing around them. Across the street, illustrate the mail carrier loading fewer packages onto their van, indicating the decrease in physical album shipments, such as by showcasing a reduction in the size or number of the packages. The focus should be on the optimism and excitement of the musicians as they prioritize their upcoming live performance over physical album production, symbolized by confident expressions, smiles, and high-fives exchanged between them. Create a sense of camaraderie and celebration as the scene exudes a feeling of positive change and artistic freedom.

*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how a decrease in Air pollution in Dallas caused Physical album shipment volume in the United States to decrease.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

Journal of Atmospheric Commerce

Jan 2024

Reminder: This paper is AI-generated. Not real!
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title punny if you can come up with clever pun. If not, just make it sound clever.

Your research team used data from Environmental Protection Agency and Statista to assess this nagging question. You found a correlation coefficient of 0.9090554 and p < 0.01 for 1999 to 2022.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The correlation between environmental factors and economic phenomena has long been a subject of scholarly curiosity. While studies have delved into the influence of various external forces on consumer behavior, the potential connection between air quality and music industry trends remains an unexplored realm. One might say it's a bit like discovering a hidden track on an album - unexpected and intriguing.

For decades, the teeming city of Dallas has grappled with air pollution, with ozone levels often surpassing national standards. Meanwhile, the music industry has witnessed a shift in consumption patterns, from physical albums to digital downloads and streaming. It is amid this dynamic backdrop that our investigation unfolds, aiming to uncover whether there exists a melodic synergy between the smog-filled skies of Dallas and the shipment volumes of tangible music recordings. It's a breath of fresh air to consider the possible harmony between these unlikely bedfellows.

As we embark on this scholarly expedition, we draw upon data from the Environmental Protection Agency to measure air quality indices in Dallas, while also tapping into Statista for comprehensive insights into physical album shipment volumes in the United States. Our journey is akin to traversing a musical score, decoding the harmonious notes of air quality data and economic indicators. It's a symphony of statistics, if you will.

We take note of the multifaceted nature of this inquiry, recognizing that the relationship between environmental air quality and consumer behavior is likely influenced by a multitude of confounding variables and external factors. But fear not, we are ready to unravel this musical mystery, armed with statistical techniques and a healthy dose of whimsical charm. After all, who knew that air quality data could have such lyrical impact?

Our findings, as revealed in the abstract, suggest a compelling positive correlation between poor air quality in Dallas and the volume of physical album shipments in the United States. It's as if the smog in the Dallas air is composing a symphony of traditional music consumption patterns across the nation. This curious connection may prompt further exploration into the quirky interplay of environmental conditions and consumer preferences. Who knew that air pollution could strike a chord with the music industry in such an unexpected manner?


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Speak in the present tense for this section (the authors find...), as is common in academic research paper literature reviews. Name the sources in a format similar to this: In "Book," the authors find lorem and ipsum.

Make up the lorem and ipsum part, but make it sound related to the topic at hand.

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name some cartoons and childrens' shows that you watched that are related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The correlation between environmental factors and economic phenomena has long been a subject of scholarly curiosity. While studies have delved into the influence of various external forces on consumer behavior, the potential connection between air quality and music industry trends remains an unexplored realm. One might say it's a bit like discovering a hidden track on an album - unexpected and intriguing.
For decades, the teeming city of Dallas has grappled with air pollution, with ozone levels often surpassing national standards. Meanwhile, the music industry has witnessed a shift in consumption patterns, from physical albums to digital downloads and streaming. It is amid this dynamic backdrop that our investigation unfolds, aiming to uncover whether there exists a melodic synergy between the smog-filled skies of Dallas and the shipment volumes of tangible music recordings. It's a breath of fresh air to consider the possible harmony between these unlikely bedfellows.
As we embark on this scholarly expedition, we draw upon data from the Environmental Protection Agency to measure air quality indices in Dallas, while also tapping into Statista for comprehensive insights into physical album shipment volumes in the United States. Our journey is akin to traversing a musical score, decoding the harmonious notes of air quality data and economic indicators. It's a symphony of statistics, if you will.
We take note of the multifaceted nature of this inquiry, recognizing that the relationship between environmental air quality and consumer behavior is likely influenced by a multitude of confounding variables and external factors. But fear not, we are ready to unravel this musical mystery, armed with statistical techniques and a healthy dose of whimsical charm. After all, who knew that air quality data could have such lyrical impact?
Our findings, as revealed in the abstract, suggest a compelling positive correlation between poor air quality in Dallas and the volume of physical album shipments in the United States. It's as if the smog in the Dallas air is composing a symphony of traditional music consumption patterns across the nation. This curious connection may prompt further exploration into the quirky interplay of environmental conditions and consumer preferences. Who knew that air pollution could strike a chord with the music industry in such an unexpected manner?

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Smith et al.," the authors find a positive correlation between poor air quality in urban areas and adverse health outcomes. The study highlights the detrimental effects of air pollution on respiratory health and overall well-being, underscoring the need for stringent environmental regulations.

Turning to economic literature, "Doe" explores the intricate relationship between environmental factors and consumer behavior, emphasizing the role of external influences in shaping market trends. The study unveils the complex interplay between environmental conditions and purchasing decisions, shedding light on the nuanced dynamics at play.

Now let's dive into some non-fiction books that are tangentially related to our inquiry. "The Air We Breathe: A Comprehensive Analysis of Urban Pollution" offers a thorough exploration of air quality challenges in metropolitan areas, providing valuable insights into the environmental backdrop of our investigation. Meanwhile, "The Sound of Economics: Harmonizing Market Forces and Environmental Factors" delves into the symphonic convergence of economic principles and environmental phenomena, offering a melodic backdrop for our study.

On a lighter note, the fiction book "Smoke and Melodies: A Tale of Pollution and Musical Serendipity" whimsically imagines a world where polluted air sparks an unexpected resurgence in physical album sales, weaving a fanciful narrative around the unexpected intersection of environmental hazards and musical commerce. Likewise, "The Ozone Overture" presents a fantastical storyline wherein the protagonist uncovers a mysterious link between air pollution and record-breaking music sales, adding a touch of whimsy to our scholarly exploration.

Shifting gears to childhood nostalgia and animated whimsy, cartoons and children's shows such as "Captain Planet and the Planeteers" and "The Magic School Bus" hold a special place in the hearts of many, instilling early lessons on environmental conservation and scientific curiosity. While these lighthearted shows may not directly address our research topic, their messages about environmental stewardship and atmospheric phenomena resonate with the broader themes of our investigation. Plus, who can resist a good cartoon throwback amidst academic rigor?

In "Jones' study," the authors uncover a fascinating phenomenon wherein air quality in major urban centers correlates with fluctuations in physical album shipments in the United States. The findings provoke contemplation about the whimsical ways in which environmental conditions intertwine with consumer preferences, leaving us pondering whether polluted air might be striking a surprisingly harmonious chord within the music industry.

Speaking of striking chords, did you hear about the smog who went to a party? He had a breathtaking presence! It seems our findings are certainly giving "air pollution" a whole new meaning.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Statista . You used data from 1999 to 2022

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

[[INTRODUCTION]]
The correlation between environmental factors and economic phenomena has long been a subject of scholarly curiosity. While studies have delved into the influence of various external forces on consumer behavior, the potential connection between air quality and music industry trends remains an unexplored realm. One might say it's a bit like discovering a hidden track on an album - unexpected and intriguing.
For decades, the teeming city of Dallas has grappled with air pollution, with ozone levels often surpassing national standards. Meanwhile, the music industry has witnessed a shift in consumption patterns, from physical albums to digital downloads and streaming. It is amid this dynamic backdrop that our investigation unfolds, aiming to uncover whether there exists a melodic synergy between the smog-filled skies of Dallas and the shipment volumes of tangible music recordings. It's a breath of fresh air to consider the possible harmony between these unlikely bedfellows.
As we embark on this scholarly expedition, we draw upon data from the Environmental Protection Agency to measure air quality indices in Dallas, while also tapping into Statista for comprehensive insights into physical album shipment volumes in the United States. Our journey is akin to traversing a musical score, decoding the harmonious notes of air quality data and economic indicators. It's a symphony of statistics, if you will.
We take note of the multifaceted nature of this inquiry, recognizing that the relationship between environmental air quality and consumer behavior is likely influenced by a multitude of confounding variables and external factors. But fear not, we are ready to unravel this musical mystery, armed with statistical techniques and a healthy dose of whimsical charm. After all, who knew that air quality data could have such lyrical impact?
Our findings, as revealed in the abstract, suggest a compelling positive correlation between poor air quality in Dallas and the volume of physical album shipments in the United States. It's as if the smog in the Dallas air is composing a symphony of traditional music consumption patterns across the nation. This curious connection may prompt further exploration into the quirky interplay of environmental conditions and consumer preferences. Who knew that air pollution could strike a chord with the music industry in such an unexpected manner?

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To delve into the potential harmonious relationship between poor air quality in Dallas and physical album shipment volume in the United States, our research team employed a multi-faceted and, dare I say, "air-tight" methodology to ensure the robustness of our findings. We adopted a combination of quantitative analyses and data mining akin to deep-sea diving for pearls of wisdom in a vast ocean of information.

First, we meticulously collected air quality data from the Environmental Protection Agency, leveraging a variety of atmospheric measurements such as ozone, carbon monoxide, sulfur dioxide, and nitrogen dioxide levels. We sifted through these data like a conscientious gardener attending to delicate blooms, ensuring that no noxious fumes escaped our scrutiny.

Simultaneously, we combed through Statista's archives with the fervor of a vinyl record collector on a quest for rare gems, extracting comprehensive information on physical album shipment volumes in the United States from 1999 to 2022. Our approach to data collection was so rigorous that it would make even the most fastidious librarian nod in approval.

In order to establish a clear, quantifiable link between these two seemingly disparate variables, we employed statistical methods that would impress even the most seasoned number-cruncher. We calculated correlation coefficients and p-values with the diligence of a seasoned detective, leaving no statistical stone unturned in our quest for evidentiary treasures. Our analysis was so thorough that it left no room for statistical shenanigans.

Furthermore, we adjusted for potential confounding variables such as GDP fluctuations, music industry trends, and meteorological patterns, employing robust regression analyses to ensure that our findings stood firm amid the complex symphony of external influences. It's fair to say that we took the necessary precautions to prevent any false notes from sneaking into our results.

Once armed with these refined statistical tools and a keen eye for detail, we performed a thorough examination of the data spanning over two decades, allowing us to capture the harmony or discord between air quality in Dallas and the volume of physical album shipments in the United States. We were so thorough in our approach that we left no statistical instrument untuned.

In essence, our methodology was as meticulous as a watchmaker crafting a precision timepiece, and our dedication to unraveling this quirky correlation was unwavering - after all, it's not every day that one gets to explore the enigmatic connection between polluted skies and musical melodies.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Statista .

For the time period 1999 to 2022, you found a correlation 0.9090554, r-squared of 0.8263818, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The correlation between environmental factors and economic phenomena has long been a subject of scholarly curiosity. While studies have delved into the influence of various external forces on consumer behavior, the potential connection between air quality and music industry trends remains an unexplored realm. One might say it's a bit like discovering a hidden track on an album - unexpected and intriguing.
For decades, the teeming city of Dallas has grappled with air pollution, with ozone levels often surpassing national standards. Meanwhile, the music industry has witnessed a shift in consumption patterns, from physical albums to digital downloads and streaming. It is amid this dynamic backdrop that our investigation unfolds, aiming to uncover whether there exists a melodic synergy between the smog-filled skies of Dallas and the shipment volumes of tangible music recordings. It's a breath of fresh air to consider the possible harmony between these unlikely bedfellows.
As we embark on this scholarly expedition, we draw upon data from the Environmental Protection Agency to measure air quality indices in Dallas, while also tapping into Statista for comprehensive insights into physical album shipment volumes in the United States. Our journey is akin to traversing a musical score, decoding the harmonious notes of air quality data and economic indicators. It's a symphony of statistics, if you will.
We take note of the multifaceted nature of this inquiry, recognizing that the relationship between environmental air quality and consumer behavior is likely influenced by a multitude of confounding variables and external factors. But fear not, we are ready to unravel this musical mystery, armed with statistical techniques and a healthy dose of whimsical charm. After all, who knew that air quality data could have such lyrical impact?
Our findings, as revealed in the abstract, suggest a compelling positive correlation between poor air quality in Dallas and the volume of physical album shipments in the United States. It's as if the smog in the Dallas air is composing a symphony of traditional music consumption patterns across the nation. This curious connection may prompt further exploration into the quirky interplay of environmental conditions and consumer preferences. Who knew that air pollution could strike a chord with the music industry in such an unexpected manner?

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our investigation unmask a surprising correlation between poor air quality in Dallas and physical album shipment volume in the United States. Over the period from 1999 to 2022, we found a strikingly high correlation coefficient of 0.9090554, with an r-squared value of 0.8263818, and a p-value of less than 0.01. It seems the smog in Dallas has been blowing some tunes across the country, quite literally!

Fig. 1 illustrates this strong relationship in a scatterplot that showcases the dance between these two seemingly unrelated variables. If a picture is worth a thousand words, this figure is certainly hitting all the right notes to underscore the unexpected harmony between air quality and physical album shipments.

*Dad joke alert*
It turns out that the music industry may have taken up a new genre: "air pollution blues." Who would've thought that gasping for breath could be so instrumental in changing consumer behavior?

As our results indicate, there is a clear trend linking poor air quality in Dallas to an increase in physical album shipments in the United States. This intriguing finding prompts us to question whether the polluted gusts in Dallas might be carrying a tune that resonates with consumers, prompting them to seek solace in tangible music souvenirs. It seems that while the air quality in Dallas may be less than ideal, it's certainly striking a chord with the music market.

In summary, our research has struck a unique note in the symphony of environmental and economic interactions, revealing an unexpected harmony between polluted air and physical album shipments. This discovery invites further exploration into the curious ways in which environmental conditions can influence consumer behavior, and offers a breath of fresh air to the fields of environmental economics and music industry research.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

[[LITERATURE REVIEW]]
In "Smith et al.," the authors find a positive correlation between poor air quality in urban areas and adverse health outcomes. The study highlights the detrimental effects of air pollution on respiratory health and overall well-being, underscoring the need for stringent environmental regulations.
Turning to economic literature, "Doe" explores the intricate relationship between environmental factors and consumer behavior, emphasizing the role of external influences in shaping market trends. The study unveils the complex interplay between environmental conditions and purchasing decisions, shedding light on the nuanced dynamics at play.
Now let's dive into some non-fiction books that are tangentially related to our inquiry. "The Air We Breathe: A Comprehensive Analysis of Urban Pollution" offers a thorough exploration of air quality challenges in metropolitan areas, providing valuable insights into the environmental backdrop of our investigation. Meanwhile, "The Sound of Economics: Harmonizing Market Forces and Environmental Factors" delves into the symphonic convergence of economic principles and environmental phenomena, offering a melodic backdrop for our study.
On a lighter note, the fiction book "Smoke and Melodies: A Tale of Pollution and Musical Serendipity" whimsically imagines a world where polluted air sparks an unexpected resurgence in physical album sales, weaving a fanciful narrative around the unexpected intersection of environmental hazards and musical commerce. Likewise, "The Ozone Overture" presents a fantastical storyline wherein the protagonist uncovers a mysterious link between air pollution and record-breaking music sales, adding a touch of whimsy to our scholarly exploration.
Shifting gears to childhood nostalgia and animated whimsy, cartoons and children's shows such as "Captain Planet and the Planeteers" and "The Magic School Bus" hold a special place in the hearts of many, instilling early lessons on environmental conservation and scientific curiosity. While these lighthearted shows may not directly address our research topic, their messages about environmental stewardship and atmospheric phenomena resonate with the broader themes of our investigation. Plus, who can resist a good cartoon throwback amidst academic rigor?
In "Jones' study," the authors uncover a fascinating phenomenon wherein air quality in major urban centers correlates with fluctuations in physical album shipments in the United States. The findings provoke contemplation about the whimsical ways in which environmental conditions intertwine with consumer preferences, leaving us pondering whether polluted air might be striking a surprisingly harmonious chord within the music industry.
Speaking of striking chords, did you hear about the smog who went to a party? He had a breathtaking presence! It seems our findings are certainly giving "air pollution" a whole new meaning.

[[RESULTS]]
The results of our investigation unmask a surprising correlation between poor air quality in Dallas and physical album shipment volume in the United States. Over the period from 1999 to 2022, we found a strikingly high correlation coefficient of 0.9090554, with an r-squared value of 0.8263818, and a p-value of less than 0.01. It seems the smog in Dallas has been blowing some tunes across the country, quite literally!
Fig. 1 illustrates this strong relationship in a scatterplot that showcases the dance between these two seemingly unrelated variables. If a picture is worth a thousand words, this figure is certainly hitting all the right notes to underscore the unexpected harmony between air quality and physical album shipments.
*Dad joke alert*
It turns out that the music industry may have taken up a new genre: "air pollution blues." Who would've thought that gasping for breath could be so instrumental in changing consumer behavior?
As our results indicate, there is a clear trend linking poor air quality in Dallas to an increase in physical album shipments in the United States. This intriguing finding prompts us to question whether the polluted gusts in Dallas might be carrying a tune that resonates with consumers, prompting them to seek solace in tangible music souvenirs. It seems that while the air quality in Dallas may be less than ideal, it's certainly striking a chord with the music market.
In summary, our research has struck a unique note in the symphony of environmental and economic interactions, revealing an unexpected harmony between polluted air and physical album shipments. This discovery invites further exploration into the curious ways in which environmental conditions can influence consumer behavior, and offers a breath of fresh air to the fields of environmental economics and music industry research.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study delved into the uncharted territory of the potential association between poor air quality in Dallas and physical album shipment volume in the United States. The robust correlation we uncovered aligns with prior research portraying the influential role of environmental factors on human behavior. This unexpected connection unveils a new dimension of the interplay between atmospheric conditions and consumer preferences, shedding light on the whimsical ways in which air pollution can orchestrate market dynamics.

The positive correlation we observed echoes previous findings, echoing the rhythmic cadence of environmental impacts on economic trends. Just as musicians harmonize their melodies, it seems that the smog in Dallas has found its own artistic expression in boosting physical album shipments. The verdict is in, and it appears that air quality isn't just a breath of fresh air; it's a breath of fresh sales for the music industry!

The humorous fiction and childhood shows referenced in our literature review, while lighthearted, still speak to the broader themes of our investigation. These whimsical narratives and cultural touchstones playfully parallel the unexpected harmony we uncovered between air pollution and physical album shipments. After all, who can deny the allure of a good cartoon throwback amidst scholarly rigor? It seems that even in the world of academic research, a bit of animated whimsy can't help but shine through.

The surprising link between poor air quality in Dallas and physical album shipment volume invites a reevaluation of the quirky ways in which external factors can sway consumer behavior. Our results lend credibility to the notion that even pollutants in the air can strike a chord with consumers, leading them to seek solace in tangible music memorabilia. It's as if the smog in Dallas has unwittingly become a maestro, conducting a symphony of sales across the United States.

In the midst of our serious inquiry, some light-hearted jests and dad jokes helped to illuminate the unexpected nature of our findings, providing a breath of fresh air amidst the scholarly discourse. It seems that humor, much like a catchy tune, has a way of making even the most unexpected connections feel harmonious. Who would've thought that the "air-raising" influence of Dallas's smog could mesh so seamlessly with physical album shipments? It appears that consumer preferences may not just be up in the air, but at the mercy of the air itself!

Therefore, our research has not only unearthed a surprising correlation but also serves as a testament to the playful yet impactful nature of academic exploration. Our findings offer a refreshing note in the duet of environmental economics and music industry research, prompting reflection on the unconventional serenade between air pollution and consumer choices.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Poor air quality in Dallas and Physical album shipment volume in the United States. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States

[[ABSTRACT]]
In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.

Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!

We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.

Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

[[INTRDUCTION]]
The correlation between environmental factors and economic phenomena has long been a subject of scholarly curiosity. While studies have delved into the influence of various external forces on consumer behavior, the potential connection between air quality and music industry trends remains an unexplored realm. One might say it's a bit like discovering a hidden track on an album - unexpected and intriguing.
For decades, the teeming city of Dallas has grappled with air pollution, with ozone levels often surpassing national standards. Meanwhile, the music industry has witnessed a shift in consumption patterns, from physical albums to digital downloads and streaming. It is amid this dynamic backdrop that our investigation unfolds, aiming to uncover whether there exists a melodic synergy between the smog-filled skies of Dallas and the shipment volumes of tangible music recordings. It's a breath of fresh air to consider the possible harmony between these unlikely bedfellows.
As we embark on this scholarly expedition, we draw upon data from the Environmental Protection Agency to measure air quality indices in Dallas, while also tapping into Statista for comprehensive insights into physical album shipment volumes in the United States. Our journey is akin to traversing a musical score, decoding the harmonious notes of air quality data and economic indicators. It's a symphony of statistics, if you will.
We take note of the multifaceted nature of this inquiry, recognizing that the relationship between environmental air quality and consumer behavior is likely influenced by a multitude of confounding variables and external factors. But fear not, we are ready to unravel this musical mystery, armed with statistical techniques and a healthy dose of whimsical charm. After all, who knew that air quality data could have such lyrical impact?
Our findings, as revealed in the abstract, suggest a compelling positive correlation between poor air quality in Dallas and the volume of physical album shipments in the United States. It's as if the smog in the Dallas air is composing a symphony of traditional music consumption patterns across the nation. This curious connection may prompt further exploration into the quirky interplay of environmental conditions and consumer preferences. Who knew that air pollution could strike a chord with the music industry in such an unexpected manner?

[[RESULTS]]
The results of our investigation unmask a surprising correlation between poor air quality in Dallas and physical album shipment volume in the United States. Over the period from 1999 to 2022, we found a strikingly high correlation coefficient of 0.9090554, with an r-squared value of 0.8263818, and a p-value of less than 0.01. It seems the smog in Dallas has been blowing some tunes across the country, quite literally!
Fig. 1 illustrates this strong relationship in a scatterplot that showcases the dance between these two seemingly unrelated variables. If a picture is worth a thousand words, this figure is certainly hitting all the right notes to underscore the unexpected harmony between air quality and physical album shipments.
*Dad joke alert*
It turns out that the music industry may have taken up a new genre: "air pollution blues." Who would've thought that gasping for breath could be so instrumental in changing consumer behavior?
As our results indicate, there is a clear trend linking poor air quality in Dallas to an increase in physical album shipments in the United States. This intriguing finding prompts us to question whether the polluted gusts in Dallas might be carrying a tune that resonates with consumers, prompting them to seek solace in tangible music souvenirs. It seems that while the air quality in Dallas may be less than ideal, it's certainly striking a chord with the music market.
In summary, our research has struck a unique note in the symphony of environmental and economic interactions, revealing an unexpected harmony between polluted air and physical album shipments. This discovery invites further exploration into the curious ways in which environmental conditions can influence consumer behavior, and offers a breath of fresh air to the fields of environmental economics and music industry research.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the correlation between poor air quality in Dallas and physical album shipment volume in the United States has uncovered a surprisingly robust relationship. With a correlation coefficient of 0.9090554 and a p-value of less than 0.01, it seems the polluted air in Dallas has been playing a significant role in orchestrating the shipment patterns of physical albums across the country.

*Dad joke alert*
It seems like the music industry has found a new muse in the form of dirty air, proving that even smog has its silver lining – or should we say, platinum lining, as in platinum albums?

Our findings underscore the unanticipated influence of environmental conditions on consumer preferences and economic trends. It's almost as if the murky clouds in Dallas are whispering a melody that resonates with music enthusiasts nationwide. Who would've thought that air pollution could be the unsung hero of the music industry?

It is evident that this correlation raises tantalizing questions about the whimsical interplay between environmental factors and consumer behavior. The symphony of statistics we've unveiled will hopefully inspire further research into the unexpected ways in which air quality may sway market dynamics.

As such, we assert that no further research is needed in this area, as our findings have blown away any doubts about the intriguing connection between polluted air and physical album shipments. This harmonious melody between environmental conditions and consumer habits has been well and truly put under the microscope, leaving us breezily confident in its validity.


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of academic journals. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding research, scientific, or academic journal that would publish a paper entited The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Atmospheric Commerce


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Aerosol and Acoustic Research (CAAR)


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled The Ailments of Air: A Correlation Between Poor Air Quality in Dallas and Physical Album Shipment Volume in the United States with an abstract of In this paper, we investigate the potential relationship between poor air quality in Dallas and the shipment volume of physical albums in the United States. Many have pondered the idea of whether polluted air could possibly influence the sale of physical albums, and this study aims to shed some light on this quirky intersection of environmental and economic factors. Our research team meticulously combed through data from the Environmental Protection Agency and Statista, leaving no particle unturned, to uncover the potential link between the two variables.
Unsurprisingly, as we delved into the data, we found a correlation coefficient of 0.9090554, suggesting a strong positive relationship between poor air quality in Dallas and physical album shipment volume in the United States. This statistically robust finding implies that as smog and pollutants in Dallas air increase, so does the shipment volume of physical albums across the country. It appears that poor air quality might be giving the music industry a breath of fresh air, quite literally!
We also observed that the p-value is less than 0.01 for the period spanning from 1999 to 2022, further reinforcing the significant association we unearthed. It seems that the murky haze hanging over Dallas could be closely tied to the surge in physical album shipments, painting a picture of "air-raising" influence on consumer behavior.
Overall, this study highlights an unexpected correlation that invites further exploration into the whimsical ways in which environmental conditions may intersect with consumer habits. Our findings offer a breath of fresh air to the field of environmental economics and music industry research, instigating reflection on the surprising impact of polluted air on the music market.

ChatGPT:

poor air quality, Dallas, physical album shipment volume, United States, correlation, environmental factors, economic factors, research, data analysis, Environmental Protection Agency, Statista, correlation coefficient, pollution, smog, pollutants, music industry, consumer behavior, p-value, environmental conditions, consumer habits, environmental economics, music industry research

*There is a bunch of Python happening behind the scenes to turn this prompt sequence into a PDF.



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Data details

Air pollution in Dallas
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Dallas-Fort Worth-Arlington, TX
Source: Environmental Protection Agency
See what else correlates with Air pollution in Dallas

Physical album shipment volume in the United States
Source: Statista
See what else correlates with Physical album shipment volume in the United States

Correlation r = 0.9090554 (Pearson correlation coefficient)
Correlation is a measure of how much the variables move together. If it is 0.99, when one goes up the other goes up. If it is 0.02, the connection is very weak or non-existent. If it is -0.99, then when one goes up the other goes down. If it is 1.00, you probably messed up your correlation function.

r2 = 0.8263818 (Coefficient of determination)
This means 82.6% of the change in the one variable (i.e., Physical album shipment volume in the United States) is predictable based on the change in the other (i.e., Air pollution in Dallas) over the 24 years from 1999 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 7.9E-10. 0.0000000007925450168061131000
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.91 in 7.9E-8% of random cases. Said differently, if you correlated 1,261,757,981 random variables You don't actually need 1 billion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 23 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 23 because we have two variables measured over a period of 24 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.8, 0.96 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!


All values for the years included above: If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022
Air pollution in Dallas (Bad air quality days)10.1379.562846.575349.589048.219186.2841510.95897.671233.01372.185793.01371.369865.479453.551911.369860.8219181.369860.27322402.465750.2739730.8196721.095890.821918
Physical album shipment volume in the United States (Units)93890000094250000088190000080330000074600000076700000070540000061970000051110000036840000029290000025300000024080000019820000017220000014280000012290000097600000877000005200000047500000316000004670000033400000




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.




Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. Step 1: Download and install Python on your computer.

Step 2: Open a plaintext editor like Notepad and paste the code below into it.

Step 3: Save the file as "calculate_correlation.py" in a place you will remember, like your desktop. Copy the file location to your clipboard. On Windows, you can right-click the file and click "Properties," and then copy what comes after "Location:" As an example, on my computer the location is "C:\Users\tyler\Desktop"

Step 4: Open a command line window. For example, by pressing start and typing "cmd" and them pressing enter.

Step 5: Install the required modules by typing "pip install numpy", then pressing enter, then typing "pip install scipy", then pressing enter.

Step 6: Navigate to the location where you saved the Python file by using the "cd" command. For example, I would type "cd C:\Users\tyler\Desktop" and push enter.

Step 7: Run the Python script by typing "python calculate_correlation.py"

If you run into any issues, I suggest asking ChatGPT to walk you through installing Python and running the code below on your system. Try this question:

"Walk me through installing Python on my computer to run a script that uses scipy and numpy. Go step-by-step and ask me to confirm before moving on. Start by asking me questions about my operating system so that you know how to proceed. Assume I want the simplest installation with the latest version of Python and that I do not currently have any of the necessary elements installed. Remember to only give me one step per response and confirm I have done it before proceeding."


# These modules make it easier to perform the calculation
import numpy as np
from scipy import stats

# We'll define a function that we can call to return the correlation calculations
def calculate_correlation(array1, array2):

    # Calculate Pearson correlation coefficient and p-value
    correlation, p_value = stats.pearsonr(array1, array2)

    # Calculate R-squared as the square of the correlation coefficient
    r_squared = correlation**2

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([10.137,9.56284,6.57534,9.58904,8.21918,6.28415,10.9589,7.67123,3.0137,2.18579,3.0137,1.36986,5.47945,3.55191,1.36986,0.821918,1.36986,0.273224,0,2.46575,0.273973,0.819672,1.09589,0.821918,])
array_2 = np.array([938900000,942500000,881900000,803300000,746000000,767000000,705400000,619700000,511100000,368400000,292900000,253000000,240800000,198200000,172200000,142800000,122900000,97600000,87700000,52000000,47500000,31600000,46700000,33400000,])
array_1_name = "Air pollution in Dallas"
array_2_name = "Physical album shipment volume in the United States"

# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)

# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)



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You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

When spoken, my last name is pronounced "vegan," like I don't eat meat.

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Correlation ID: 1121 · Black Variable ID: 20509 · Red Variable ID: 155
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