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Spurious correlation #4,312 · 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 Chattanooga, Tennessee and the second variable is xkcd comics published about romance.  The chart goes from 2007 to 2023, and the two variables track closely in value over that time. Small Image

AI explanation

The cleaner air led to clearer minds, prompting the xkcd creator to focus on other topics. As the smog lifted, so did the artist's penchant for romance, creating a breezy shift in comic content. It seems in this case, love wasn't just in the air - it was in the lack of air pollution!

Model: dalle-3
Prompt: Generate an image of a cyberpunk-inspired Chattanooga, Tennessee where clean air has replaced the pollution, and the xkcd creator sits at a drawing table surrounded by sketches of romantic scenes. The clear blue skies stretch over the city and a gentle breeze flows through the open window. 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 variables described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here are two variables: Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: Oragami Cyberpunk Cybernetic art Surrealism Hyper-realistic
ChatGPT: Cyberpunk

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Air pollution in Chattanooga, Tennessee and xkcd comics published about romance, in the following situation: The cleaner air led to clearer minds, prompting the xkcd creator to focus on other topics. As the smog lifted, so did the artist's penchant for romance, creating a breezy shift in comic content. It seems in this case, love wasn't just in the air - it was in the lack of air pollution!. Keep the description simple.
ChatGPT: In a scenic view of Chattanooga, Tennessee, clear blue skies stretch over the city as the smog dissipates. The xkcd creator sits at a drawing table, surrounded by sketches of romantic scenes and heartwarming moments. A gentle breeze flows through the open window, carrying with it the fresh, clean air that has replaced the once-persistent pollution. The artist's focus has shifted from environmental themes to tender expressions of love, mirroring the newfound clarity in the atmosphere.

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: [ Cyberpunk ] and depicting this scene: In a scenic view of Chattanooga, Tennessee, clear blue skies stretch over the city as the smog dissipates. The xkcd creator sits at a drawing table, surrounded by sketches of romantic scenes and heartwarming moments. A gentle breeze flows through the open window, carrying with it the fresh, clean air that has replaced the once-persistent pollution. The artist's focus has shifted from environmental themes to tender expressions of love, mirroring the newfound clarity in the atmosphere. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a cyberpunk-inspired Chattanooga, Tennessee where clean air has replaced the pollution, and the xkcd creator sits at a drawing table surrounded by sketches of romantic scenes. The clear blue skies stretch over the city and a gentle breeze flows through the open window.

*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 Chattanooga, Tennessee caused xkcd comics published about romance to decrease. Include one good pun.

AI academic paper

(Because p < 0.01)
The xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

The Journal of Quirky Interdisciplinary Studies

Jan 2024
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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns.

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 AI analysis of xkcd comics to assess this nagging question. You found a correlation coefficient of 0.8778102 and p < 0.01 for 2007 to 2023.

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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.


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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns. 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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

In the realm of scientific inquiry, there are certain unusual pairings that prompt the raising of eyebrows and the scratching of heads. Air pollution in Chattanooga, Tennessee and the thematic contents of the xkcd comic series certainly fall into this category. On the one hand, we have the grim specter of environmental degradation, the atmospheric ballet of noxious gases and particulate matter pirouetting through the air. On the other hand, we have the whimsical world of xkcd, where stick figures engage in intellectual banter, mathematical musings, and unexpected romances that often resemble a pie chart—divided.

The connection between these two seemingly incongruous entities drew our attention like a moth to a flame that’s been set ablaze by a particularly spicy burrito. Indeed, our fascination was piqued by the stark contrast between the gritty reality of air pollution and the lighthearted, if not downright nerdy, world of xkcd comics. It was as if Shakespeare’s tragic Romeo and Juliet had decided to have a rendezvous with The Muppet Show—an unexpected interplay of the charming and the cumbersome, the heartfelt and the toxic.

Our investigation sought to untangle the enigmatic web connecting the quality of the air in Chattanooga and the publication of romance-themed xkcd comics. To our amusement, our data revealed a parallel in the rise and fall of air pollution levels and the appearance of romance-themed comics, akin to a dance between a heavily belabored sigh and a farcical jest. This became an intriguing pursuit, akin to tracking the fluctuations in the love life of a particularly capricious amoeba.

As we delve into this unlikely dalliance between atmospheric pollutants and pixelated declarations of love, our study aims to shed light on the uncharted territory where science meets artistic expression. Through rigorous data analysis and the occasional bemused chuckle, we aim to bring to the forefront the hidden chemistry between these seemingly unrelated phenomena and explore the unexpected ways in which they intertwine, much like two strands of DNA navigating the complexities of the heart. So join us, dear reader, as we embark on this whimsical scientific exploration where love, laughter, and lung irritants engage in an unlikely tango, leaving us pondering the cosmic absurdity of it all.


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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns.

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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading CVS receipts.

Here is the title and abstract of the paper:
[[TITLE]]
The xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
In the realm of scientific inquiry, there are certain unusual pairings that prompt the raising of eyebrows and the scratching of heads. Air pollution in Chattanooga, Tennessee and the thematic contents of the xkcd comic series certainly fall into this category. On the one hand, we have the grim specter of environmental degradation, the atmospheric ballet of noxious gases and particulate matter pirouetting through the air. On the other hand, we have the whimsical world of xkcd, where stick figures engage in intellectual banter, mathematical musings, and unexpected romances that often resemble a pie chart—divided.
The connection between these two seemingly incongruous entities drew our attention like a moth to a flame that’s been set ablaze by a particularly spicy burrito. Indeed, our fascination was piqued by the stark contrast between the gritty reality of air pollution and the lighthearted, if not downright nerdy, world of xkcd comics. It was as if Shakespeare’s tragic Romeo and Juliet had decided to have a rendezvous with The Muppet Show—an unexpected interplay of the charming and the cumbersome, the heartfelt and the toxic.
Our investigation sought to untangle the enigmatic web connecting the quality of the air in Chattanooga and the publication of romance-themed xkcd comics. To our amusement, our data revealed a parallel in the rise and fall of air pollution levels and the appearance of romance-themed comics, akin to a dance between a heavily belabored sigh and a farcical jest. This became an intriguing pursuit, akin to tracking the fluctuations in the love life of a particularly capricious amoeba.
As we delve into this unlikely dalliance between atmospheric pollutants and pixelated declarations of love, our study aims to shed light on the uncharted territory where science meets artistic expression. Through rigorous data analysis and the occasional bemused chuckle, we aim to bring to the forefront the hidden chemistry between these seemingly unrelated phenomena and explore the unexpected ways in which they intertwine, much like two strands of DNA navigating the complexities of the heart. So join us, dear reader, as we embark on this whimsical scientific exploration where love, laughter, and lung irritants engage in an unlikely tango, leaving us pondering the cosmic absurdity of it all.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In their work on air pollution, Smith et al. (2018) found that the presence of high levels of respirable particulate matter and volatile organic compounds can have detrimental effects on the respiratory system and overall well-being of individuals. Similarly, Doe and Jones (2020) discussed the impact of air pollution on cognitive function, highlighting the potential for air pollutants to influence neurological processes.

Moving on to the realm of artistic expression, "The Art of Romance: A Cultural Analysis" by Garcia and Martinez (2015) provides a comprehensive examination of how romance is depicted across different mediums, including comics. In a similar vein, "Love in the Digital Age" by Kim and Lee (2017) explores the ways in which digital platforms are utilized to convey messages of love and affection.

On a fictional note, works such as "Love in the Time of Air Pollution" by Marquez (1985) and "The Polluted Heart" by Hawthorne (1850) offer intriguing, albeit metaphorical, reflections on the intertwining of environmental factors and matters of the heart. These literary pieces cleverly weave together themes of love and environmental conditions, laying the groundwork for our own exploration of the unusual pairing of air pollution and romance-themed xkcd comics.

As we delved deeper into the literature, we encountered unexpected sources that provided unconventional insights. "The Romance of Air Pollution: A CVS Receipt Analysis" by an anonymous author yielded a rather unexpected perspective on the topic at hand. While the connection between CVS receipts and our research may seem tenuous at best, the findings presented in this unconventional source cannot be entirely dismissed.

Venturing further into the realm of unlikely connections, "The Love Algorithm: A Comedic Investigation of Air Pollution and Romance" by the fictitious Dr. N. S. Hardy presents a playful take on the harmonious interplay between air pollution and romantic inclinations. While the academic veracity of this work may be dubious, its whimsical approach does not fail to amuse, if not outright bemuse.

It is within this diverse array of literature that we seek to place our own investigation, aiming to add to the scholarly dialogue on the peculiar entanglement of air pollution in Chattanooga, Tennessee and the appearance of romance-themed xkcd comics. As we move forward with our analysis, we acknowledge the unexpected paths that have led us here, embracing the lighthearted intrigue of our peculiar research journey.


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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns. 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 AI analysis of xkcd comics . You used data from 2007 to 2023

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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

[[INTRODUCTION]]
INTRODUCTION
In the realm of scientific inquiry, there are certain unusual pairings that prompt the raising of eyebrows and the scratching of heads. Air pollution in Chattanooga, Tennessee and the thematic contents of the xkcd comic series certainly fall into this category. On the one hand, we have the grim specter of environmental degradation, the atmospheric ballet of noxious gases and particulate matter pirouetting through the air. On the other hand, we have the whimsical world of xkcd, where stick figures engage in intellectual banter, mathematical musings, and unexpected romances that often resemble a pie chart—divided.
The connection between these two seemingly incongruous entities drew our attention like a moth to a flame that’s been set ablaze by a particularly spicy burrito. Indeed, our fascination was piqued by the stark contrast between the gritty reality of air pollution and the lighthearted, if not downright nerdy, world of xkcd comics. It was as if Shakespeare’s tragic Romeo and Juliet had decided to have a rendezvous with The Muppet Show—an unexpected interplay of the charming and the cumbersome, the heartfelt and the toxic.
Our investigation sought to untangle the enigmatic web connecting the quality of the air in Chattanooga and the publication of romance-themed xkcd comics. To our amusement, our data revealed a parallel in the rise and fall of air pollution levels and the appearance of romance-themed comics, akin to a dance between a heavily belabored sigh and a farcical jest. This became an intriguing pursuit, akin to tracking the fluctuations in the love life of a particularly capricious amoeba.
As we delve into this unlikely dalliance between atmospheric pollutants and pixelated declarations of love, our study aims to shed light on the uncharted territory where science meets artistic expression. Through rigorous data analysis and the occasional bemused chuckle, we aim to bring to the forefront the hidden chemistry between these seemingly unrelated phenomena and explore the unexpected ways in which they intertwine, much like two strands of DNA navigating the complexities of the heart. So join us, dear reader, as we embark on this whimsical scientific exploration where love, laughter, and lung irritants engage in an unlikely tango, leaving us pondering the cosmic absurdity of it all.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In this section, we present the meticulously crafted methodology employed to investigate the peculiar interplay between air pollution in Chattanooga, Tennessee and the appearance of romance-themed xkcd comics. Our data collection and analysis followed a rigorous and systematic process, with occasional breaks for a good pun or two.

Data Collection:
Our first step in this whimsical waltz of research involved gathering air pollution data from Chattanooga, Tennessee. We relied on the Environmental Protection Agency’s records, which chronicled the levels of atmospheric pollutants such as particulate matter, nitrates, and sulfur dioxide. The data was as dense and weighty as a thick fog on a Tennessee morning, requiring careful extraction and meticulous curation.

Next, we turned our attention to the beguiling world of xkcd comics—specifically those with a romantic theme. The repository of xkcd comics was scoured for any pixelated proclamations of love, heartbreak, or awkward courtships akin to a digital matchmaking service for stick figures. To accomplish this, we employed advanced AI analysis to detect and quantify the romance-laden content within the xkcd series, ensuring that no amorous avowal escaped our scholarly scrutiny.

Data Analysis:
With our troves of data in hand, we set about analyzing the juxtaposition of air pollution levels and the appearance of romance-themed xkcd comics. Our analysis delved into the statistical nuances with the fervor of a crossword enthusiast unraveling a particularly cryptic clue. We utilized time-series analysis to examine the temporal patterns of air pollution levels and the publication of romance-themed xkcd comics from 2007 to 2023, uncovering correlations as unexpected as finding a love letter amidst a stack of environmental regulations.

Additionally, we employed cross-correlation analysis to discern any lagged relationships between air pollution and the emergence of romance-themed comics, akin to the tender yet uncertain pauses in a delightful courtship. Our statistical exploration left no stone unturned, no comic unscreened, and no air particle unexamined in the pursuit of unraveling this scientific conundrum.

Quality Control:
As with any inquisitive endeavor, our research demanded stringent quality control measures to ensure the reliability and validity of our findings. We employed rigorous checks and balances to validate both the air pollution data and the identification of romance-themed xkcd comics, creating a fortress of scientific certainty amidst the lighthearted milieu of our investigation. Furthermore, our analysis underwent peer review, where esteemed colleagues scrutinized our methods and results with a discerning eye, providing valuable feedback and the occasional gag about the perils of a love triangle between statistical significance levels.

In essence, our methodology combined the dexterity of a virtuoso with the curiosity of a child investigating the mysteries of the universe, resulting in a rigorously whimsical approach to uncovering the intriguing relationship between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics.


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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns. 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 AI analysis of xkcd comics .

For the time period 2007 to 2023, you found a correlation 0.8778102, r-squared of 0.7705508, 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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
In the realm of scientific inquiry, there are certain unusual pairings that prompt the raising of eyebrows and the scratching of heads. Air pollution in Chattanooga, Tennessee and the thematic contents of the xkcd comic series certainly fall into this category. On the one hand, we have the grim specter of environmental degradation, the atmospheric ballet of noxious gases and particulate matter pirouetting through the air. On the other hand, we have the whimsical world of xkcd, where stick figures engage in intellectual banter, mathematical musings, and unexpected romances that often resemble a pie chart—divided.
The connection between these two seemingly incongruous entities drew our attention like a moth to a flame that’s been set ablaze by a particularly spicy burrito. Indeed, our fascination was piqued by the stark contrast between the gritty reality of air pollution and the lighthearted, if not downright nerdy, world of xkcd comics. It was as if Shakespeare’s tragic Romeo and Juliet had decided to have a rendezvous with The Muppet Show—an unexpected interplay of the charming and the cumbersome, the heartfelt and the toxic.
Our investigation sought to untangle the enigmatic web connecting the quality of the air in Chattanooga and the publication of romance-themed xkcd comics. To our amusement, our data revealed a parallel in the rise and fall of air pollution levels and the appearance of romance-themed comics, akin to a dance between a heavily belabored sigh and a farcical jest. This became an intriguing pursuit, akin to tracking the fluctuations in the love life of a particularly capricious amoeba.
As we delve into this unlikely dalliance between atmospheric pollutants and pixelated declarations of love, our study aims to shed light on the uncharted territory where science meets artistic expression. Through rigorous data analysis and the occasional bemused chuckle, we aim to bring to the forefront the hidden chemistry between these seemingly unrelated phenomena and explore the unexpected ways in which they intertwine, much like two strands of DNA navigating the complexities of the heart. So join us, dear reader, as we embark on this whimsical scientific exploration where love, laughter, and lung irritants engage in an unlikely tango, leaving us pondering the cosmic absurdity of it all.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the data collected revealed a correlation coefficient of 0.8778102 between air pollution levels in Chattanooga, Tennessee and the appearance of romance-themed xkcd comics. This finding suggests a strong positive relationship between the two variables, akin to a happy, love-struck couple strolling hand in hand through an impressively smoggy cityscape. The r-squared value of 0.7705508 indicates that approximately 77.06% of the variation in the publication of romance-themed xkcd comics can be explained by changes in air pollution levels. This result implies a rather intimate connection, as if the very molecules of polluted air whispered sweet nothings to the pixels on the xkcd comic panels, inspiring tales of love in the midst of atmospheric adversity.

The p-value of less than 0.01 further underscores the significance of this relationship, leaving little room for doubt that there is more to this peculiar correlation than mere coincidence. Such a low p-value suggests that the likelihood of observing such a strong correlation by random chance alone is quite remote, not unlike stumbling upon a rare, elusive Pokémon in a dense fog of uncertainty.

In summary, the empirical evidence gathered from our exhaustive analysis presents a compelling case for the influence of air pollution in Chattanooga, Tennessee on the creation and dissemination of romance-themed xkcd comics. The strength of the correlation, coupled with the robustness of the statistical significance, paints a picture of an unexpected, yet delightful, liaison between environmental factors and artistic output. This liaison is not unlike finding a hidden love note nestled within a stack of air quality reports—a delightful surprise in an otherwise mundane setting.

Fig. 1 visually illustrates the pronounced correlation between air pollution levels and the frequency of romance-themed xkcd comics, depicting a scatterplot that showcases the undeniable dance of influence between these seemingly unrelated phenomena. It's a beautiful and curious thing to behold, like witnessing a romantic comedy unfold in the unlikeliest of places, with particulate matter playing the role of the quirky matchmaker.


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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns. 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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

[[LITERATURE REVIEW]]
In their work on air pollution, Smith et al. (2018) found that the presence of high levels of respirable particulate matter and volatile organic compounds can have detrimental effects on the respiratory system and overall well-being of individuals. Similarly, Doe and Jones (2020) discussed the impact of air pollution on cognitive function, highlighting the potential for air pollutants to influence neurological processes.
Moving on to the realm of artistic expression, "The Art of Romance: A Cultural Analysis" by Garcia and Martinez (2015) provides a comprehensive examination of how romance is depicted across different mediums, including comics. In a similar vein, "Love in the Digital Age" by Kim and Lee (2017) explores the ways in which digital platforms are utilized to convey messages of love and affection.
On a fictional note, works such as "Love in the Time of Air Pollution" by Marquez (1985) and "The Polluted Heart" by Hawthorne (1850) offer intriguing, albeit metaphorical, reflections on the intertwining of environmental factors and matters of the heart. These literary pieces cleverly weave together themes of love and environmental conditions, laying the groundwork for our own exploration of the unusual pairing of air pollution and romance-themed xkcd comics.
As we delved deeper into the literature, we encountered unexpected sources that provided unconventional insights. "The Romance of Air Pollution: A CVS Receipt Analysis" by an anonymous author yielded a rather unexpected perspective on the topic at hand. While the connection between CVS receipts and our research may seem tenuous at best, the findings presented in this unconventional source cannot be entirely dismissed.
Venturing further into the realm of unlikely connections, "The Love Algorithm: A Comedic Investigation of Air Pollution and Romance" by the fictitious Dr. N. S. Hardy presents a playful take on the harmonious interplay between air pollution and romantic inclinations. While the academic veracity of this work may be dubious, its whimsical approach does not fail to amuse, if not outright bemuse.
It is within this diverse array of literature that we seek to place our own investigation, aiming to add to the scholarly dialogue on the peculiar entanglement of air pollution in Chattanooga, Tennessee and the appearance of romance-themed xkcd comics. As we move forward with our analysis, we acknowledge the unexpected paths that have led us here, embracing the lighthearted intrigue of our peculiar research journey.

[[RESULTS]]
The statistical analysis of the data collected revealed a correlation coefficient of 0.8778102 between air pollution levels in Chattanooga, Tennessee and the appearance of romance-themed xkcd comics. This finding suggests a strong positive relationship between the two variables, akin to a happy, love-struck couple strolling hand in hand through an impressively smoggy cityscape. The r-squared value of 0.7705508 indicates that approximately 77.06% of the variation in the publication of romance-themed xkcd comics can be explained by changes in air pollution levels. This result implies a rather intimate connection, as if the very molecules of polluted air whispered sweet nothings to the pixels on the xkcd comic panels, inspiring tales of love in the midst of atmospheric adversity.
The p-value of less than 0.01 further underscores the significance of this relationship, leaving little room for doubt that there is more to this peculiar correlation than mere coincidence. Such a low p-value suggests that the likelihood of observing such a strong correlation by random chance alone is quite remote, not unlike stumbling upon a rare, elusive Pokémon in a dense fog of uncertainty.
In summary, the empirical evidence gathered from our exhaustive analysis presents a compelling case for the influence of air pollution in Chattanooga, Tennessee on the creation and dissemination of romance-themed xkcd comics. The strength of the correlation, coupled with the robustness of the statistical significance, paints a picture of an unexpected, yet delightful, liaison between environmental factors and artistic output. This liaison is not unlike finding a hidden love note nestled within a stack of air quality reports—a delightful surprise in an otherwise mundane setting.
Fig. 1 visually illustrates the pronounced correlation between air pollution levels and the frequency of romance-themed xkcd comics, depicting a scatterplot that showcases the undeniable dance of influence between these seemingly unrelated phenomena. It's a beautiful and curious thing to behold, like witnessing a romantic comedy unfold in the unlikeliest of places, with particulate matter playing the role of the quirky matchmaker.

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Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The robust correlation between air pollution levels in Chattanooga, Tennessee and the production of romance-themed xkcd comics is nothing short of intriguing. As we reflect on the humorous oddities unearthed in our literature review, we see how our results align with the prior research in unexpected ways. Just as Shakespeare's comedic plays intertwined love and folly, our statistical findings have woven a tale of romance amidst the hazy backdrop of air pollution.

The correlation coefficient of 0.8778102 we discovered in our study resonates with the cautionary tales of environmental impact from Smith et al. (2018) and the cognitive ramifications highlighted by Doe and Jones (2020). It's as if the characters in a Shakespearean comedy, with the meddling presence of air pollution yielding unexpected consequences for the heart's desires.

Moreover, the playful investigation of Dr. N. S. Hardy, though fictitious, offers a delightful mirroring of our unforeseen findings. The unexpected harmony between the polluted air and romantic motifs in xkcd comics echoes the whimsical musings of Hardy's work, as if the universe itself were playing a charming prank on our scientific sensibilities.

Our results, with an r-squared value of 0.7705508, present a quirky encapsulation of the impact of air pollution on the creation of romance-themed xkcd comics. Just as a romantic comedy weaves a gripping narrative, our findings highlight the palpable influence of air pollution on the artistic expression of love in the digital age. It's as though the greatest romantic comedies of our time, with all their twists and turns, pale in comparison to the surprising interplay of factors at play in our research findings.

The significance of our results, with a p-value of less than 0.01, mirrors the unexpected perspectives offered by the unconventional sources we encountered in our literature review. The unlikelihood of such a strong correlation occurring by random chance harkens back to the playful unease stirred up by the "CVS Receipt Analysis" and the whimsical musings of Dr. N. S. Hardy. It's as though the academic world has taken a humorous turn, leading us down a path of scholarly amusement and bafflement in equal measure.

In summary, our investigation has yielded results that support and amplify the unexpected insights discovered in our literature review. The quirky interconnectedness of air pollution and romance-themed xkcd comics has unfolded a tale as captivating as any Shakespearean comedy, with prodigious statistical significance and a correlation coefficient that dances as gracefully as any romantic protagonist. As we beckon forth the scintillating conclusion of our peculiar research journey, we invite the scholarly community to join us in savoring the whimsical revelations of this curious liaison between environmental factors and artistic expression.


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 Air pollution in Chattanooga, Tennessee and xkcd comics published about romance. Make lots of jokes, goofy observations, and puns. 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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics

[[ABSTRACT]]
In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

[[INTRDUCTION]]
INTRODUCTION
In the realm of scientific inquiry, there are certain unusual pairings that prompt the raising of eyebrows and the scratching of heads. Air pollution in Chattanooga, Tennessee and the thematic contents of the xkcd comic series certainly fall into this category. On the one hand, we have the grim specter of environmental degradation, the atmospheric ballet of noxious gases and particulate matter pirouetting through the air. On the other hand, we have the whimsical world of xkcd, where stick figures engage in intellectual banter, mathematical musings, and unexpected romances that often resemble a pie chart—divided.
The connection between these two seemingly incongruous entities drew our attention like a moth to a flame that’s been set ablaze by a particularly spicy burrito. Indeed, our fascination was piqued by the stark contrast between the gritty reality of air pollution and the lighthearted, if not downright nerdy, world of xkcd comics. It was as if Shakespeare’s tragic Romeo and Juliet had decided to have a rendezvous with The Muppet Show—an unexpected interplay of the charming and the cumbersome, the heartfelt and the toxic.
Our investigation sought to untangle the enigmatic web connecting the quality of the air in Chattanooga and the publication of romance-themed xkcd comics. To our amusement, our data revealed a parallel in the rise and fall of air pollution levels and the appearance of romance-themed comics, akin to a dance between a heavily belabored sigh and a farcical jest. This became an intriguing pursuit, akin to tracking the fluctuations in the love life of a particularly capricious amoeba.
As we delve into this unlikely dalliance between atmospheric pollutants and pixelated declarations of love, our study aims to shed light on the uncharted territory where science meets artistic expression. Through rigorous data analysis and the occasional bemused chuckle, we aim to bring to the forefront the hidden chemistry between these seemingly unrelated phenomena and explore the unexpected ways in which they intertwine, much like two strands of DNA navigating the complexities of the heart. So join us, dear reader, as we embark on this whimsical scientific exploration where love, laughter, and lung irritants engage in an unlikely tango, leaving us pondering the cosmic absurdity of it all.

[[RESULTS]]
The statistical analysis of the data collected revealed a correlation coefficient of 0.8778102 between air pollution levels in Chattanooga, Tennessee and the appearance of romance-themed xkcd comics. This finding suggests a strong positive relationship between the two variables, akin to a happy, love-struck couple strolling hand in hand through an impressively smoggy cityscape. The r-squared value of 0.7705508 indicates that approximately 77.06% of the variation in the publication of romance-themed xkcd comics can be explained by changes in air pollution levels. This result implies a rather intimate connection, as if the very molecules of polluted air whispered sweet nothings to the pixels on the xkcd comic panels, inspiring tales of love in the midst of atmospheric adversity.
The p-value of less than 0.01 further underscores the significance of this relationship, leaving little room for doubt that there is more to this peculiar correlation than mere coincidence. Such a low p-value suggests that the likelihood of observing such a strong correlation by random chance alone is quite remote, not unlike stumbling upon a rare, elusive Pokémon in a dense fog of uncertainty.
In summary, the empirical evidence gathered from our exhaustive analysis presents a compelling case for the influence of air pollution in Chattanooga, Tennessee on the creation and dissemination of romance-themed xkcd comics. The strength of the correlation, coupled with the robustness of the statistical significance, paints a picture of an unexpected, yet delightful, liaison between environmental factors and artistic output. This liaison is not unlike finding a hidden love note nestled within a stack of air quality reports—a delightful surprise in an otherwise mundane setting.
Fig. 1 visually illustrates the pronounced correlation between air pollution levels and the frequency of romance-themed xkcd comics, depicting a scatterplot that showcases the undeniable dance of influence between these seemingly unrelated phenomena. It's a beautiful and curious thing to behold, like witnessing a romantic comedy unfold in the unlikeliest of places, with particulate matter playing the role of the quirky matchmaker.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

CONCLUSION

In conclusion, our findings have exposed a captivating romance brewing between the seemingly unrelated realms of air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. The statistical prowess of our analysis has revealed a correlation coefficient that rivals the allure of a love potion, with a p-value so low, it would struggle to muster an enthusiastic "swipe right" on a dating app.

The results of our study have shed light on the mysterious interplay between environmental quality and artistic expression, proving that even in the midst of airborne pollutants, love stories find a way to bloom like asthmatic daisies in the spring. It’s akin to witnessing a gaggle of lovestruck pigeons amidst a smoggy city skyline—unexpected and yet undeniably heartwarming.

This research has not only uncovered a peculiar romance between air pollution and comic creation, but it has also painted a picture of resilience and inspiration in the face of environmental adversity. It's as if the pixelated protagonists of xkcd have taken a deep breath of polluted air and declared, "I'd take polluted love over clean unrequited equations any day!"

In light of these convincing results, it seems clear that no further investigation is required in this area. Our comprehensive analysis has laid bare the amorous dance between Chattanooga's air and the wistful musings of xkcd, setting the stage for a tale as old as time—a love story for the (data) ages. And so, with the statistical confetti of significance scattered all around, we bid adieu to this unlikely coupling of scientific whimsy and wish them a cliché-ridden "happily ever after."

No more research is needed to prove that love truly is in the air - even if it's mixed with a fair amount of air pollution.

That's a wrap, folks!


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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Interdisciplinary Studies


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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics. Respond only with the name of a fictional organization.

ChatGPT:

The Earth Friendly Science Institute


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 xkcd Files: A Molecular Investigation into the Relationship between Air Pollution in Chattanooga, Tennessee and Romance-themed xkcd Comics with an abstract of In this study, we explore the enigmatic connection between air pollution in Chattanooga, Tennessee and the publication of romance-themed xkcd comics. Despite the seemingly disparate nature of these two phenomena, our research has uncovered some startling correlations that linger in the air like a bad pun. By using data from the Environmental Protection Agency to quantify air pollution levels and performing advanced AI analysis of xkcd comics, we have unraveled a web of intrigue surrounding the interplay between environmental quality and artistic expressions of love. Our findings revealed a correlation coefficient of 0.8778102, suggesting a strong, if not downright flirtatious, relationship between the two variables from 2007 to 2023. Furthermore, our results indicated a significance level of p < 0.01, leaving the statistical world abuzz with gossip about this unexpected rendezvous. Join us as we delve into the unseen chemistry between air pollution and xkcd comics, where romance meets respirable particulate matter in an unearthly tango of scientific whimsy.

ChatGPT:

xkcd comics, romance-themed comics, air pollution, Chattanooga, Tennessee, correlation coefficient, AI analysis, Environmental Protection Agency data, artistic expressions of love, statistical significance, scientific whimsy

*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 Chattanooga, Tennessee
Detailed data title: Percentage of days with moderate or worse air quality in Chattanooga, TN-GA
Source: Environmental Protection Agency
See what else correlates with Air pollution in Chattanooga, Tennessee

xkcd comics published about romance
Detailed data title: The number of xkcd comics published each year about romance
Source: AI analysis of xkcd comics
Additional Info: I designed a Python workflow to perform OCR on every xkcd comic, feed that text into a large language model, and ask the model whether this comic was about the category named in the title.

See what else correlates with xkcd comics published about romance

Correlation r = 0.8778102 (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 = 0.7705508 (Coefficient of determination)
This means 77.1% of the change in the one variable (i.e., xkcd comics published about romance) is predictable based on the change in the other (i.e., Air pollution in Chattanooga, Tennessee) over the 17 years from 2007 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.6E-6. 0.0000036397823368547348000000
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 0.88 in 0.00036% of random cases. Said differently, if you correlated 274,742 random variables You don't actually need 274 thousand 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 16 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 16 because we have two variables measured over a period of 17 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.

[ 0.69, 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.
20072008200920102011201220132014201520162017201820192020202120222023
Air pollution in Chattanooga, Tennessee (Bad air quality days)70.165766.666750.41159.833862.67415037.465637.260331.680436.768834.806630.958936.986322.802233.618240.3941.3919
xkcd comics published about romance (xkcd comics)38352128111834323115635




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([70.1657,66.6667,50.411,59.8338,62.6741,50,37.4656,37.2603,31.6804,36.7688,34.8066,30.9589,36.9863,22.8022,33.6182,40.39,41.3919,])
array_2 = np.array([38,35,21,28,11,18,3,4,3,2,3,1,1,5,6,3,5,])
array_1_name = "Air pollution in Chattanooga, Tennessee"
array_2_name = "xkcd comics published about romance"

# 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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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: 4312 · Black Variable ID: 20450 · Red Variable ID: 20013
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