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Spurious correlation #4,580 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air quality in Kingsport, Tennessee and the second variable is Google searches for 'President phone number'.  The chart goes from 2004 to 2023, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air quality improved in Kingsport, Tennessee, more people were able to think clearly. This led to an increase in productivity, prompting individuals to take on new challenges. Suddenly, a wave of ambition swept the nation, and everyone had the same bright idea - why not give the President a call and share their thoughts on clean air? It seems like the clear skies in Kingsport weren't the only thing reaching new heights!

Model: dalle-3
Prompt: Generate a scene of Kingsport, Tennessee with a vintage comic-book flair. Show the bustling city with clear skies above and an optimistic mood. People are seen going about their day, energized by the improved air quality. The scene should convey a sense of renewal and ambition. Depict subtle details, like keyboards clicking in homes and offices as residents start searching for the "President's phone number" on Google. The image should capture the city's revitalized spirit and the shared motivation of its residents. Use muted colors and a dotted halftone pattern reminiscent of 1960s comic-book art style to evoke a nostalgic yet vibrant atmosphere. 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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. 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: Pop art Cutsy graphics inspired by bauhaus Vaporwave A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s
ChatGPT: A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s

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 quality in Kingsport, Tennessee and Google searches for 'President phone number', in the following situation: As air quality improved in Kingsport, Tennessee, more people were able to think clearly. This led to an increase in productivity, prompting individuals to take on new challenges. Suddenly, a wave of ambition swept the nation, and everyone had the same bright idea - why not give the President a call and share their thoughts on clean air? It seems like the clear skies in Kingsport weren't the only thing reaching new heights!. Keep the description simple.
ChatGPT: In Kingsport, Tennessee, clear skies hover over a bustling city. People are seen going about their day, focused and energetic. As the air quality improved, the horizon seemed clearer, and the residents felt rejuvenated. Meanwhile, in homes and offices, the sounds of keyboards clicking filled the air as people started searching for the "President's phone number" on Google. The city was abuzz with newfound ambition, and everyone seemed to have the same bright idea.

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: [ A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s ] and depicting this scene: In Kingsport, Tennessee, clear skies hover over a bustling city. People are seen going about their day, focused and energetic. As the air quality improved, the horizon seemed clearer, and the residents felt rejuvenated. Meanwhile, in homes and offices, the sounds of keyboards clicking filled the air as people started searching for the "President's phone number" on Google. The city was abuzz with newfound ambition, and everyone seemed to have the same bright idea. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate a scene of Kingsport, Tennessee with a vintage comic-book flair. Show the bustling city with clear skies above and an optimistic mood. People are seen going about their day, energized by the improved air quality. The scene should convey a sense of renewal and ambition. Depict subtle details, like keyboards clicking in homes and offices as residents start searching for the "President's phone number" on Google. The image should capture the city's revitalized spirit and the shared motivation of its residents. Use muted colors and a dotted halftone pattern reminiscent of 1960s comic-book art style to evoke a nostalgic yet vibrant atmosphere.

*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 an increase in Air quality in Kingsport, Tennessee caused President phone number (Google searches for 'President phone number') to increase.

AI academic paper

(Because p < 0.01)
Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'

The Journal of Environmental Behavioral Trends

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 witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from Environmental Protection Agency and Google Trends to assess this nagging question. You found a correlation coefficient of 0.8598301 and p < 0.01 for 2004 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]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

In recent years, the field of environmental and digital research has witnessed a burgeoning interest in the intertwined dynamics between air quality and online search behavior. As scientists, we are often compelled to unravel the intricate dance of seemingly unrelated variables, akin to solving a complex puzzle with pieces that, at first glance, do not seem to fit together. This study investigates the curious relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the enigmatic "President phone number". While one might initially question the logical nexus between these two domains, our findings reveal an unexpected correlation that calls for further scrutiny and, dare we say, a raised eyebrow or two.

At first blush, one might assume that the only "air quality" related to presidential matters pertains to rhetorical prowess or, on some particularly windy days, the quixotic nature of political discourse. However, our endeavor embarks on a more literal interpretation, examining the ambient air quality in Kingsport, Tennessee, and its potential influence on the elusive quest for the "President phone number" in the digital realm. As whimsical as it may sound, this endeavor is grounded in robust statistical analysis and a profound appreciation for the intricacies of both environmental and online behaviors.

The choice of Kingsport, Tennessee, as the focal point of this study is not arbitrary, but rather informed by its unique environmental characteristics and a penchant for statistical mystery. Situated in the picturesque Appalachian region, Kingsport presents an intriguing microcosm through which to examine the interplay between air quality and digital inquiry. Moreover, the city's distinct blend of industrial heritage and scenic landscapes adds a compelling backdrop to our investigation. In the words of Bob Dylan, the answer to this correlation may very well be "blowin' in the wind".

In the subsequent sections of this paper, we will detail the methodology used to gather and analyze the data that underpins this curious correlation, followed by a comprehensive exposition of the results and their broader implications. As we navigate this odyssey of scientific inquiry, let us not forget the subliminal whimsy that infuses our research – for the pursuit of knowledge need not always be solemn, but can occasionally take a detour through the lighthearted realm of unexpected correlations and statistical shenanigans.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
In recent years, the field of environmental and digital research has witnessed a burgeoning interest in the intertwined dynamics between air quality and online search behavior. As scientists, we are often compelled to unravel the intricate dance of seemingly unrelated variables, akin to solving a complex puzzle with pieces that, at first glance, do not seem to fit together. This study investigates the curious relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the enigmatic "President phone number". While one might initially question the logical nexus between these two domains, our findings reveal an unexpected correlation that calls for further scrutiny and, dare we say, a raised eyebrow or two.
At first blush, one might assume that the only "air quality" related to presidential matters pertains to rhetorical prowess or, on some particularly windy days, the quixotic nature of political discourse. However, our endeavor embarks on a more literal interpretation, examining the ambient air quality in Kingsport, Tennessee, and its potential influence on the elusive quest for the "President phone number" in the digital realm. As whimsical as it may sound, this endeavor is grounded in robust statistical analysis and a profound appreciation for the intricacies of both environmental and online behaviors.
The choice of Kingsport, Tennessee, as the focal point of this study is not arbitrary, but rather informed by its unique environmental characteristics and a penchant for statistical mystery. Situated in the picturesque Appalachian region, Kingsport presents an intriguing microcosm through which to examine the interplay between air quality and digital inquiry. Moreover, the city's distinct blend of industrial heritage and scenic landscapes adds a compelling backdrop to our investigation. In the words of Bob Dylan, the answer to this correlation may very well be "blowin' in the wind".
In the subsequent sections of this paper, we will detail the methodology used to gather and analyze the data that underpins this curious correlation, followed by a comprehensive exposition of the results and their broader implications. As we navigate this odyssey of scientific inquiry, let us not forget the subliminal whimsy that infuses our research – for the pursuit of knowledge need not always be solemn, but can occasionally take a detour through the lighthearted realm of unexpected correlations and statistical shenanigans.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Air Quality and Online Search Behavior: A Comprehensive Analysis," Smith et al. conducted a meticulous examination of the interplay between environmental factors and digital behaviors. Their study laid the groundwork for investigating the unexpected correlation between air quality in specific locations and the frequency of distinct online searches. The findings of Smith et al. prompted further exploration into seemingly disparate variables, igniting a fervent interest in the whimsical influences shaping online search trends.

Doe and Jones, in "Digital Ecology: Unraveling the Web of Online Behaviors," delved into the intricate dynamics of digital ecosystems, shedding light on the interconnectedness of online search patterns with seemingly unrelated external factors. Their comprehensive analysis provided a framework for understanding the nuances of digital behavior and its subtle responsiveness to environmental cues. This seminal work laid the groundwork for our own investigation into the unlikely association between air quality in Kingsport, Tennessee, and Google searches for the elusive "President phone number."

Turning to non-fiction books related to the subject, "The Hidden Influence of Air Quality" by John Doe presents a thought-provoking exploration of the subtle ways in which environmental factors can shape human behaviors, including the digital sphere. Doe's work serves as a catalyst for contemplating the broader implications of our findings, hinting at the potential influence of air quality in driving peculiar online search patterns.

In the realm of fiction, "The Aroma of Algorithms" by Jane Smith offers a whimsical tale of a peculiar town where the scent of air carries mystical influences on the townspeople's online activities, reminiscent of our own investigation into the quirky correlation between air quality in Kingsport and Google searches for the "President phone number." Though fictional in nature, Smith's narrative serves as a charming allegory for the unpredictable dance of environmental factors and digital behaviors.

In addition to scholarly works, social media has also played a role in shaping our understanding of this offbeat correlation. Anecdotal evidence gleaned from Twitter posts such as, "Just Googled 'President phone number' amidst an air quality alert in Kingsport. Coincidence? I think not," underscores the public's awareness of the peculiar relationship between local air quality and online search activity. While not empirical in nature, these informal observations contribute to the broader narrative surrounding the unexpected influence of environmental factors on digital behaviors.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Google Trends . You used data from 2004 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]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

[[INTRODUCTION]]
In recent years, the field of environmental and digital research has witnessed a burgeoning interest in the intertwined dynamics between air quality and online search behavior. As scientists, we are often compelled to unravel the intricate dance of seemingly unrelated variables, akin to solving a complex puzzle with pieces that, at first glance, do not seem to fit together. This study investigates the curious relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the enigmatic "President phone number". While one might initially question the logical nexus between these two domains, our findings reveal an unexpected correlation that calls for further scrutiny and, dare we say, a raised eyebrow or two.
At first blush, one might assume that the only "air quality" related to presidential matters pertains to rhetorical prowess or, on some particularly windy days, the quixotic nature of political discourse. However, our endeavor embarks on a more literal interpretation, examining the ambient air quality in Kingsport, Tennessee, and its potential influence on the elusive quest for the "President phone number" in the digital realm. As whimsical as it may sound, this endeavor is grounded in robust statistical analysis and a profound appreciation for the intricacies of both environmental and online behaviors.
The choice of Kingsport, Tennessee, as the focal point of this study is not arbitrary, but rather informed by its unique environmental characteristics and a penchant for statistical mystery. Situated in the picturesque Appalachian region, Kingsport presents an intriguing microcosm through which to examine the interplay between air quality and digital inquiry. Moreover, the city's distinct blend of industrial heritage and scenic landscapes adds a compelling backdrop to our investigation. In the words of Bob Dylan, the answer to this correlation may very well be "blowin' in the wind".
In the subsequent sections of this paper, we will detail the methodology used to gather and analyze the data that underpins this curious correlation, followed by a comprehensive exposition of the results and their broader implications. As we navigate this odyssey of scientific inquiry, let us not forget the subliminal whimsy that infuses our research – for the pursuit of knowledge need not always be solemn, but can occasionally take a detour through the lighthearted realm of unexpected correlations and statistical shenanigans.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The first step in our methodological odyssey involved harnessing information from the Environmental Protection Agency (EPA) and Google Trends. The EPA provided a treasure trove of air quality data, including measures of particulate matter, ozone, sulfur dioxide, and nitrogen dioxide, among other atmospheric constituents. Google Trends, on the other hand, offered insights into the frequency of searches for the elusive "President phone number" over the years. We must note that delving into the world of Google searches often felt akin to deciphering the whimsical inclinations of an inscrutable oracle, its mysteries concealed behind the veil of algorithms and digital enigma.

Statistical Manipulations:
To unravel the potential correlation between air quality in Kingsport and online searches for presidential digits, we embarked on a journey through the labyrinthine pathways of statistical analysis. Leveraging the art of linear regression and correlation analyses, we sought to disentangle the complex web of data and discern any patterns that might elude casual observation. Our team delved deep into the realm of p-values, confidence intervals, and correlation coefficients – tools as subtle and elusive as the fabled quest for the "President phone number" itself.

Temporal Considerations:
The temporal dimension of our data posed a conundrum that required careful handling. As we traversed the temporal landscape from 2004 to 2023, we encountered the ebb and flow of environmental shifts, public sentiment, and, dare we say, presidential phone number inquiries. The nuances of temporal dynamics added yet another layer of complexity to our endeavor, akin to navigating the capricious currents of both atmospheric and digital time.

Model Construction:
In our quest for statistical enlightenment, we constructed models to encapsulate the essence of our data. By developing mathematical incarnations of air quality measures and the frequency of enigmatic presidential searches, we endeavored to distill the essence of our observations into robust representations. This endeavor sometimes felt akin to coaxing philosophical ponderings into the confines of a statistical corral – an exercise in taming the ethereal and enigmatic.

Data Interpretation:
The culmination of our methodological journey took form in the interpretation of our findings. As we gazed upon correlation coefficients and p-values, we sought to extract not only numerical significance but also the essence of this unexpected correlation. Our interpretations danced on the fringes of statistical whimsy, tiptoeing along the boundary between rigorous analysis and statistical serendipity.

In sum, our methodology embodied not only the rigor of scientific inquiry but also a lighthearted dalliance with the esoteric dance of variables and statistical charm. As we move onward to present our findings, let us not lose sight of the subtle humor that adorns the path of research, reminding us that even in the realm of statistics, the unexpected and whimsical may find their place.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

For the time period 2004 to 2023, you found a correlation 0.8598301, r-squared of 0.7393078, 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]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
In recent years, the field of environmental and digital research has witnessed a burgeoning interest in the intertwined dynamics between air quality and online search behavior. As scientists, we are often compelled to unravel the intricate dance of seemingly unrelated variables, akin to solving a complex puzzle with pieces that, at first glance, do not seem to fit together. This study investigates the curious relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the enigmatic "President phone number". While one might initially question the logical nexus between these two domains, our findings reveal an unexpected correlation that calls for further scrutiny and, dare we say, a raised eyebrow or two.
At first blush, one might assume that the only "air quality" related to presidential matters pertains to rhetorical prowess or, on some particularly windy days, the quixotic nature of political discourse. However, our endeavor embarks on a more literal interpretation, examining the ambient air quality in Kingsport, Tennessee, and its potential influence on the elusive quest for the "President phone number" in the digital realm. As whimsical as it may sound, this endeavor is grounded in robust statistical analysis and a profound appreciation for the intricacies of both environmental and online behaviors.
The choice of Kingsport, Tennessee, as the focal point of this study is not arbitrary, but rather informed by its unique environmental characteristics and a penchant for statistical mystery. Situated in the picturesque Appalachian region, Kingsport presents an intriguing microcosm through which to examine the interplay between air quality and digital inquiry. Moreover, the city's distinct blend of industrial heritage and scenic landscapes adds a compelling backdrop to our investigation. In the words of Bob Dylan, the answer to this correlation may very well be "blowin' in the wind".
In the subsequent sections of this paper, we will detail the methodology used to gather and analyze the data that underpins this curious correlation, followed by a comprehensive exposition of the results and their broader implications. As we navigate this odyssey of scientific inquiry, let us not forget the subliminal whimsy that infuses our research – for the pursuit of knowledge need not always be solemn, but can occasionally take a detour through the lighthearted realm of unexpected correlations and statistical shenanigans.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our analysis yielded a surprising correlation between air quality in Kingsport, Tennessee, and the frequency of Google searches for "President phone number". The correlation coefficient of 0.8598301 indicates a remarkably strong linear relationship between these seemingly unrelated variables over the period from 2004 to 2023. In statistical terms, this correlation suggests an almost inseparable bond, akin to a pair of socks that refuse to part ways in the laundry.

Additionally, the r-squared value of 0.7393078 indicates that approximately 73.93% of the variability in the frequency of Google searches for "President phone number" can be explained by the fluctuations in air quality in Kingsport. This finding implies that the air quality in Kingsport plays a significant role in driving the inquisitive digital quest for the elusive "President phone number", much like an invisible hand nudging curious keyboard strokes.

The p-value of less than 0.01 further underscores the robustness of this correlation, indicating a high level of confidence in the significance of the relationship. In simpler terms, this finding suggests that the likelihood of such a strong correlation occurring by mere chance is akin to stumbling upon a four-leaf clover in a field of dandelions – a rare and improbable occurrence, to say the least.

Moreover, Figure 1 visually depicts the clear linear pattern in the scatterplot, offering a graphical representation of the undeniable connection between air quality in Kingsport, Tennessee, and searches for the "President phone number". The scatterplot resembles a constellation of data points, each twinkling with statistical significance and perhaps a hint of whimsy, as if to beckon us to unravel its hidden cosmic secrets.

In light of these findings, it is evident that the relationship between air quality and digital inquiries is far from a trivial matter. Rather, it unveils a captivating interplay between environmental conditions and online behaviors, inviting us to ponder the unseen forces that shape our digital interactions. As researchers, we are compelled to embrace the unexpected, for it is at the intersection of curiosity and serendipity that extraordinary discoveries often unfold.

This study not only sheds light on the intriguing correlation between air quality in Kingsport, Tennessee, and Google searches for the "President phone number" but also invites further exploration of the enigmatic influences that permeate our digital landscape. Whether it be a gust of statistical serendipity or the playful hand of scientific mischief, this correlation challenges us to gaze beyond the obvious and venture into the delightful realm of statistical whimsy.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

[[LITERATURE REVIEW]]
In "Air Quality and Online Search Behavior: A Comprehensive Analysis," Smith et al. conducted a meticulous examination of the interplay between environmental factors and digital behaviors. Their study laid the groundwork for investigating the unexpected correlation between air quality in specific locations and the frequency of distinct online searches. The findings of Smith et al. prompted further exploration into seemingly disparate variables, igniting a fervent interest in the whimsical influences shaping online search trends.
Doe and Jones, in "Digital Ecology: Unraveling the Web of Online Behaviors," delved into the intricate dynamics of digital ecosystems, shedding light on the interconnectedness of online search patterns with seemingly unrelated external factors. Their comprehensive analysis provided a framework for understanding the nuances of digital behavior and its subtle responsiveness to environmental cues. This seminal work laid the groundwork for our own investigation into the unlikely association between air quality in Kingsport, Tennessee, and Google searches for the elusive "President phone number."
Turning to non-fiction books related to the subject, "The Hidden Influence of Air Quality" by John Doe presents a thought-provoking exploration of the subtle ways in which environmental factors can shape human behaviors, including the digital sphere. Doe's work serves as a catalyst for contemplating the broader implications of our findings, hinting at the potential influence of air quality in driving peculiar online search patterns.
In the realm of fiction, "The Aroma of Algorithms" by Jane Smith offers a whimsical tale of a peculiar town where the scent of air carries mystical influences on the townspeople's online activities, reminiscent of our own investigation into the quirky correlation between air quality in Kingsport and Google searches for the "President phone number." Though fictional in nature, Smith's narrative serves as a charming allegory for the unpredictable dance of environmental factors and digital behaviors.
In addition to scholarly works, social media has also played a role in shaping our understanding of this offbeat correlation. Anecdotal evidence gleaned from Twitter posts such as, "Just Googled 'President phone number' amidst an air quality alert in Kingsport. Coincidence? I think not," underscores the public's awareness of the peculiar relationship between local air quality and online search activity. While not empirical in nature, these informal observations contribute to the broader narrative surrounding the unexpected influence of environmental factors on digital behaviors.

[[RESULTS]]
The results of our analysis yielded a surprising correlation between air quality in Kingsport, Tennessee, and the frequency of Google searches for "President phone number". The correlation coefficient of 0.8598301 indicates a remarkably strong linear relationship between these seemingly unrelated variables over the period from 2004 to 2023. In statistical terms, this correlation suggests an almost inseparable bond, akin to a pair of socks that refuse to part ways in the laundry.
Additionally, the r-squared value of 0.7393078 indicates that approximately 73.93% of the variability in the frequency of Google searches for "President phone number" can be explained by the fluctuations in air quality in Kingsport. This finding implies that the air quality in Kingsport plays a significant role in driving the inquisitive digital quest for the elusive "President phone number", much like an invisible hand nudging curious keyboard strokes.
The p-value of less than 0.01 further underscores the robustness of this correlation, indicating a high level of confidence in the significance of the relationship. In simpler terms, this finding suggests that the likelihood of such a strong correlation occurring by mere chance is akin to stumbling upon a four-leaf clover in a field of dandelions – a rare and improbable occurrence, to say the least.
Moreover, Figure 1 visually depicts the clear linear pattern in the scatterplot, offering a graphical representation of the undeniable connection between air quality in Kingsport, Tennessee, and searches for the "President phone number". The scatterplot resembles a constellation of data points, each twinkling with statistical significance and perhaps a hint of whimsy, as if to beckon us to unravel its hidden cosmic secrets.
In light of these findings, it is evident that the relationship between air quality and digital inquiries is far from a trivial matter. Rather, it unveils a captivating interplay between environmental conditions and online behaviors, inviting us to ponder the unseen forces that shape our digital interactions. As researchers, we are compelled to embrace the unexpected, for it is at the intersection of curiosity and serendipity that extraordinary discoveries often unfold.
This study not only sheds light on the intriguing correlation between air quality in Kingsport, Tennessee, and Google searches for the "President phone number" but also invites further exploration of the enigmatic influences that permeate our digital landscape. Whether it be a gust of statistical serendipity or the playful hand of scientific mischief, this correlation challenges us to gaze beyond the obvious and venture into the delightful realm of statistical whimsy.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The surprising correlation uncovered in our study between air quality in Kingsport, Tennessee, and Google searches for the elusive "President phone number" lends credence to the notion that seemingly unrelated variables can indeed dance to the same whimsical tune. As we reflect on the significance of this relationship, we are reminded of the unexpected connections that often lurk beneath the surface of statistical analyses, much like a pair of mismatched socks waiting to be reunited in the laundry.

Our findings align with prior research, echoing the pioneering work of Smith et al. in uncovering the intriguing interplay between environmental factors and digital behaviors. The peculiar association identified in our study harmonizes with the spirit of their exploration into seemingly disparate variables, akin to two puzzle pieces joyfully clicking into place amidst the vast landscape of statistical enigmas. Furthermore, the echoes of Doe and Jones's investigation into digital ecosystems reverberate in our own findings, highlighting the subtle responsiveness of online search patterns to the nuances of environmental cues.

The support from such established literature bolsters our confidence in the robustness of the observed correlation, much like a sturdy statistical lifeboat amidst the choppy waters of empirical discovery. Moreover, the allusion to John Doe's contemplative exploration of the hidden influence of air quality strikes a chord with the profound implications of our findings, inviting us to ponder the clandestine nudges of environmental factors on digital whims. Additionally, the whimsical allegory woven by Jane Smith in "The Aroma of Algorithms" resonates with the enchanting dance of air quality and online activities revealed in our study, underscoring the playful yet profound nature of statistical serendipity.

In the midst of these scientific echoes, we are reminded of the lighthearted reverberations from social media anecdotes, which, though not empirical in nature, add colorful threads to the tapestry of evidence surrounding the unexpected influence of environmental factors on digital behaviors. The collective awareness, akin to a chorus of statistical muses, heightens the allure of this unconventional relationship and infuses it with a touch of statistical charm.

As we navigate this peculiar territory, we are reminded that statistical whimsy often leads to extraordinary discoveries. The compelling bond uncovered between air quality in Kingsport, Tennessee, and searches for the "President phone number" beckons us to embrace the unanticipated, for it is at the crossroads of statistical curiosity and hidden cosmic secrets that innovative insights come to light. It is within this delightful realm of statistical whimsy that the most captivating discoveries often unfurl, inviting us to revel in the surprises that statistical analysis can unveil.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 quality in Kingsport, Tennessee and Google searches for 'President phone number'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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]]
"Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'"

[[ABSTRACT]]
This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

[[INTRDUCTION]]
In recent years, the field of environmental and digital research has witnessed a burgeoning interest in the intertwined dynamics between air quality and online search behavior. As scientists, we are often compelled to unravel the intricate dance of seemingly unrelated variables, akin to solving a complex puzzle with pieces that, at first glance, do not seem to fit together. This study investigates the curious relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the enigmatic "President phone number". While one might initially question the logical nexus between these two domains, our findings reveal an unexpected correlation that calls for further scrutiny and, dare we say, a raised eyebrow or two.
At first blush, one might assume that the only "air quality" related to presidential matters pertains to rhetorical prowess or, on some particularly windy days, the quixotic nature of political discourse. However, our endeavor embarks on a more literal interpretation, examining the ambient air quality in Kingsport, Tennessee, and its potential influence on the elusive quest for the "President phone number" in the digital realm. As whimsical as it may sound, this endeavor is grounded in robust statistical analysis and a profound appreciation for the intricacies of both environmental and online behaviors.
The choice of Kingsport, Tennessee, as the focal point of this study is not arbitrary, but rather informed by its unique environmental characteristics and a penchant for statistical mystery. Situated in the picturesque Appalachian region, Kingsport presents an intriguing microcosm through which to examine the interplay between air quality and digital inquiry. Moreover, the city's distinct blend of industrial heritage and scenic landscapes adds a compelling backdrop to our investigation. In the words of Bob Dylan, the answer to this correlation may very well be "blowin' in the wind".
In the subsequent sections of this paper, we will detail the methodology used to gather and analyze the data that underpins this curious correlation, followed by a comprehensive exposition of the results and their broader implications. As we navigate this odyssey of scientific inquiry, let us not forget the subliminal whimsy that infuses our research – for the pursuit of knowledge need not always be solemn, but can occasionally take a detour through the lighthearted realm of unexpected correlations and statistical shenanigans.

[[RESULTS]]
The results of our analysis yielded a surprising correlation between air quality in Kingsport, Tennessee, and the frequency of Google searches for "President phone number". The correlation coefficient of 0.8598301 indicates a remarkably strong linear relationship between these seemingly unrelated variables over the period from 2004 to 2023. In statistical terms, this correlation suggests an almost inseparable bond, akin to a pair of socks that refuse to part ways in the laundry.
Additionally, the r-squared value of 0.7393078 indicates that approximately 73.93% of the variability in the frequency of Google searches for "President phone number" can be explained by the fluctuations in air quality in Kingsport. This finding implies that the air quality in Kingsport plays a significant role in driving the inquisitive digital quest for the elusive "President phone number", much like an invisible hand nudging curious keyboard strokes.
The p-value of less than 0.01 further underscores the robustness of this correlation, indicating a high level of confidence in the significance of the relationship. In simpler terms, this finding suggests that the likelihood of such a strong correlation occurring by mere chance is akin to stumbling upon a four-leaf clover in a field of dandelions – a rare and improbable occurrence, to say the least.
Moreover, Figure 1 visually depicts the clear linear pattern in the scatterplot, offering a graphical representation of the undeniable connection between air quality in Kingsport, Tennessee, and searches for the "President phone number". The scatterplot resembles a constellation of data points, each twinkling with statistical significance and perhaps a hint of whimsy, as if to beckon us to unravel its hidden cosmic secrets.
In light of these findings, it is evident that the relationship between air quality and digital inquiries is far from a trivial matter. Rather, it unveils a captivating interplay between environmental conditions and online behaviors, inviting us to ponder the unseen forces that shape our digital interactions. As researchers, we are compelled to embrace the unexpected, for it is at the intersection of curiosity and serendipity that extraordinary discoveries often unfold.
This study not only sheds light on the intriguing correlation between air quality in Kingsport, Tennessee, and Google searches for the "President phone number" but also invites further exploration of the enigmatic influences that permeate our digital landscape. Whether it be a gust of statistical serendipity or the playful hand of scientific mischief, this correlation challenges us to gaze beyond the obvious and venture into the delightful realm of statistical whimsy.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the correlation between air quality in Kingsport, Tennessee, and Google searches for 'President phone number' has been established with statistically significant robustness. The remarkably strong correlation coefficient of 0.8598301 and the p-value of less than 0.01 unquestionably indicate a compelling relationship between these seemingly unrelated variables. This discovery, akin to finding a hidden treasure map in a library book, not only tickles the fancy of statistical detectives but also underscores the whimsical influences that thread through the tapestry of digital behavior.

The r-squared value of 0.7393078 further illuminates the extent to which air quality fluctuations in Kingsport act as a captivating muse for the inquisitive digital quest for the elusive "President phone number", as if the statistical stars have aligned to guide our quest for understanding. The scatterplot, with its enchanting dance of data points, not only visually captivates the eyes but also beckons us to explore the cosmic ballet of statistical relationships lurking beneath the surface.

As we wrap up this peculiar exploration, we must acknowledge the quixotic nature of scientific inquiry, for it is at the intersection of curiosity and statistical serendipity that extraordinary discoveries often emerge- much like finding a statistical needle in a digital haystack. With our findings in hand, we assert with confidence that no further research in this peculiar domain is warranted. The correlation between air quality in Kingsport, Tennessee, and Google searches for 'President phone number' stands as a quirky testament to the capricious interplay of environmental factors and digital curiosities. So, let us bid adieu to this statistical enigma and allow it to linger as a whimsical anomaly in the annals of scientific exploration.


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 Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Behavioral Trends


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 Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number'. Respond only with the name of a fictional organization.

ChatGPT:

The Association for Whimsical Research and Inquiry


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 Blowin' in the Wind: The Correlation Between Air Quality in Kingsport, Tennessee and Google Searches for 'President Phone Number' with an abstract of This study delves into the unexpected relationship between air quality in Kingsport, Tennessee, and the frequency of Google searches for the elusive "President phone number". Leveraging data from the Environmental Protection Agency and Google Trends, our research team analyzed the period from 2004 to 2023. Through rigorous statistical analysis, we uncovered a remarkably strong correlation coefficient of 0.8598301 and a significant p-value of less than 0.01. These findings not only provide a fascinating discovery but also raise intriguing questions about the interconnectedness of environmental factors and digital behaviors. Our elucidation of this peculiar correlation prompts further investigation into the whimsical influences shaping online search trends.

ChatGPT:

Air quality, Kingsport Tennessee, Google searches, President phone number, environmental factors, digital behaviors, correlation coefficient, statistical analysis, Google Trends, environmental protection agency, search trends, online search behavior

*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 quality in Kingsport, Tennessee
Detailed data title: Percentage of days with good air quality in Kingsport-Bristol-Bristol, TN-VA
Source: Environmental Protection Agency
See what else correlates with Air quality in Kingsport, Tennessee

Google searches for 'President phone number'
Detailed data title: Relative volume of Google searches for 'President phone number' (Worldwide, without quotes)
Source: Google Trends
Additional Info: Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'President phone number'

Correlation r = 0.8598301 (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 = 0.7393078 (Coefficient of determination)
This means 73.9% of the change in the one variable (i.e., Google searches for 'President phone number') is predictable based on the change in the other (i.e., Air quality in Kingsport, Tennessee) over the 20 years from 2004 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.2E-6. 0.0000011793405373551961000000
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 0.86 in 0.00012% of random cases. Said differently, if you correlated 847,932 random variables You don't actually need 847 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 19 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 19 because we have two variables measured over a period of 20 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.

[ 0.67, 0.94 ] 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.
20042005200620072008200920102011201220132014201520162017201820192020202120222023
Air quality in Kingsport, Tennessee (Good air quality)66.666756.438458.082256.986368.852580.821968.767175.342577.322479.178183.013784.931580.923181.288382.96783.195695.355281.917890.659376.6667
Google searches for 'President phone number' (Rel. search volume)47.416736.333335.416734.666740.166744.333341.166743.333346.542.583343.551.416754.41675048.083348.08336448.916754.416750.6




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.
  4. Confounding variable: 2020 is particularly different from the other years on this graph. Confounding variables (like global pandemics) will cause two variables to look connected when in fact a "sneaky third" variable is influencing both of them behind the scenes.




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([66.6667,56.4384,58.0822,56.9863,68.8525,80.8219,68.7671,75.3425,77.3224,79.1781,83.0137,84.9315,80.9231,81.2883,82.967,83.1956,95.3552,81.9178,90.6593,76.6667,])
array_2 = np.array([47.4167,36.3333,35.4167,34.6667,40.1667,44.3333,41.1667,43.3333,46.5,42.5833,43.5,51.4167,54.4167,50,48.0833,48.0833,64,48.9167,54.4167,50.6,])
array_1_name = "Air quality in Kingsport, Tennessee"
array_2_name = "Google searches for 'President phone number'"

# 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: 4580 · Black Variable ID: 20777 · Red Variable ID: 1396
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