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Spurious correlation #3,507 · 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 The number of proofreaders in Tennessee.  The chart goes from 2003 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the air cleared up, there was less need for error correction. The proofreaders were simply left "aerated" and decided to pursue new career paths. With fewer typos to catch, they couldn't handle the lack of "atmosphere" in their line of work. It seems like the cleaner air led to some "proof-reading between the lines" of their professional goals.

Model: dalle-3
Prompt: Generate an image showing a dusky cityscape of downtown Chattanooga, Tennessee, with a thick layer of smog hovering in the air. Within the haze, depict a group of proofreaders gathered, each holding a red pen and engaged in correcting grammar and spelling errors that appear to be floating in the dense air. The skyline should be partially obscured by the fog to convey the difficult visibility caused by the smog. 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 The number of proofreaders in Tennessee. 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: Low poly A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s An image that looks like it is a scene from a Pixar movie Concept art A Discovery magazine cover image
ChatGPT: A Discovery magazine cover image

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 The number of proofreaders in Tennessee, in the following situation: Increased air pollution in Chattanooga, Tennessee led to an influx of proofreaders in Tennessee as the smog was so thick that it became impossible to distinguish between "affect" and "effect" in written communication, prompting the need for professional assistance.. Keep the description simple.
ChatGPT: In downtown Chattanooga, Tennessee, a thick layer of smog hangs in the air, making it difficult to see the skyline. Among the fog, a group of proofreaders from all over Tennessee has gathered, holding red pens and correcting grammar and spelling errors in the dense air.

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 Discovery magazine cover image ] and depicting this scene: In downtown Chattanooga, Tennessee, a thick layer of smog hangs in the air, making it difficult to see the skyline. Among the fog, a group of proofreaders from all over Tennessee has gathered, holding red pens and correcting grammar and spelling errors in the dense air. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image showing a dusky cityscape of downtown Chattanooga, Tennessee, with a thick layer of smog hovering in the air. Within the haze, depict a group of proofreaders gathered, each holding a red pen and engaged in correcting grammar and spelling errors that appear to be floating in the dense air. The skyline should be partially obscured by the fog to convey the difficult visibility caused by the smog.

*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 The number of proofreaders in Tennessee to decrease. Include one good pun.

AI academic paper

(Because p < 0.01)
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

The Journal of Absurd Atmospheric Research

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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Rhyme words in the title.

Your research team used data from Environmental Protection Agency and Bureau of Larbor Statistics to assess this nagging question. You found a correlation coefficient of 0.9193428 and p < 0.01 for 2003 to 2021.

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]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.



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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Here is the title and abstract of the paper:
[[TITLE]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.


-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The correlation between air pollution and its impact on human health and well-being has been a topic of great interest and concern for decades. The detrimental effects of air pollution on respiratory and cardiovascular health have been well-documented, but little attention has been given to its potential influence on more esoteric occupations. However, as the saying goes, "Where there's smog, there's proof!"

The charming city of Chattanooga, nestled in the scenic valleys of Tennessee, has unfortunately faced challenges with air quality due to industrial activity and traffic congestion. But could there be a hidden, and rather unexpected, consequence to this haze? It appears that the density of proofreaders in Tennessee, the so-called "guardians of grammaticality," may have an astonishingly tight bond with the air quality in Chattanooga. It's almost as if the proof is in the pollution!

As with any scientific inquiry, it is crucial to approach this correlation cautiously and methodically, ensuring that our conclusions are statistically sound and not simply the result of random chance. After all, we don't want to make any "rash" claims without solid evidence!

Utilizing meticulous data collection and rigorous statistical analysis, we embarked on a journey to explore this intriguing relationship further. Our investigation aimed to determine whether there exists a significant association between air pollution levels in Chattanooga and the number of meticulous proofreaders dotting the landscape of Tennessee. Could it be that smog is not just a respiratory hazard but also a secret catalyst for the proliferation of proofreader zeal? It seems there's more to air pollution than just a breath of bad air - it's a breathed mystery with linguistic consequences!

In this paper, we will present our meticulous findings, unveiling a surprising and substantial correlation that challenges conventional wisdom and tickles the intellectual taste buds. Let's delve into this zestful journey of scientific discovery, where the air is heavy with possibilities and the sentences are grammatically spotless!


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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.


-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The correlation between air pollution and its impact on human health and well-being has been a topic of great interest and concern for decades. The detrimental effects of air pollution on respiratory and cardiovascular health have been well-documented, but little attention has been given to its potential influence on more esoteric occupations. However, as the saying goes, "Where there's smog, there's proof!"
The charming city of Chattanooga, nestled in the scenic valleys of Tennessee, has unfortunately faced challenges with air quality due to industrial activity and traffic congestion. But could there be a hidden, and rather unexpected, consequence to this haze? It appears that the density of proofreaders in Tennessee, the so-called "guardians of grammaticality," may have an astonishingly tight bond with the air quality in Chattanooga. It's almost as if the proof is in the pollution!
As with any scientific inquiry, it is crucial to approach this correlation cautiously and methodically, ensuring that our conclusions are statistically sound and not simply the result of random chance. After all, we don't want to make any "rash" claims without solid evidence!
Utilizing meticulous data collection and rigorous statistical analysis, we embarked on a journey to explore this intriguing relationship further. Our investigation aimed to determine whether there exists a significant association between air pollution levels in Chattanooga and the number of meticulous proofreaders dotting the landscape of Tennessee. Could it be that smog is not just a respiratory hazard but also a secret catalyst for the proliferation of proofreader zeal? It seems there's more to air pollution than just a breath of bad air - it's a breathed mystery with linguistic consequences!
In this paper, we will present our meticulous findings, unveiling a surprising and substantial correlation that challenges conventional wisdom and tickles the intellectual taste buds. Let's delve into this zestful journey of scientific discovery, where the air is heavy with possibilities and the sentences are grammatically spotless!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Prior studies have extensively examined the adverse health implications of air pollution, focusing on respiratory and cardiovascular outcomes (Smith, et al., 2015; Doe & Jones, 2018). However, as we endeavor to untangle the curious association between air pollution in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State, our review expands into uncharted territory, where statistical inferences collide with whimsical wordplay.

The findings of "The Book of Zesty Air and Zealous Proofreaders" shed light on a surprising parallel between the increase in air pollution levels and the proliferation of meticulous proofreaders in Tennessee. This unexpected correlation seems to suggest that the hazy atmosphere may serve as a beacon for grammar guardians, attracting them like misplaced commas in need of correction. The question arises: Is the air pollution in Chattanooga inadvertently nurturing a legion of linguistic avengers, or are proofreaders flocking to Tennessee to combat grammatical errors as thick as the smog? It's a conundrum worthy of Sherlock Holmes himself, or rather, "Sher-lock Your Spelling" (an imaginary title we just made up).

In a departure from traditional research literature, "Air Pollution and the Proliferation of Proofreaders: Fact or Fiction?" delves into the world of fiction for insights. The works of J.K. Rowling, notably "Harry Potter and the Typo of Grammar," may offer theoretical foundations mingled with spells of proofreading prowess, while George R.R. Martin's "A Song of Grammar and Smog" could serve as a metaphorical guide to our investigation. As we navigate this unconventional course, we must remain vigilant in our pursuit of empirical evidence, embracing statistical rigor amidst the whimsy of wordplay.

Our search for enlightening perspectives extended to the realms of animated entertainment. "The Smoggy Adventures of Syntax Sleuths" and "Captain Proofreader: Smog War Chronicles" became allegorical touchstones for the unexpected synergy between air pollution and the proliferation of proofreaders. As the narrative unfolds, we find ourselves nestled in a whimsical world where statistical analysis and dad jokes form an improbable alliance, much like the marriage of air pollution and proofreading prowess in Tennessee.

The interplay between data-driven inquiry and linguistic lightheartedness emboldens our journey, as we strive to decipher the enigmatic connection between air pollution zest and the best proofreaders in the West. This literature review serves as a testament to the unexpected marvels that emerge when statistical analysis collides with comedic contemplation, reminding us that science can be both rigorous and delightfully absurd.


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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Bureau of Larbor Statistics . You used data from 2003 to 2021

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]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.


[[INTRODUCTION]]
The correlation between air pollution and its impact on human health and well-being has been a topic of great interest and concern for decades. The detrimental effects of air pollution on respiratory and cardiovascular health have been well-documented, but little attention has been given to its potential influence on more esoteric occupations. However, as the saying goes, "Where there's smog, there's proof!"
The charming city of Chattanooga, nestled in the scenic valleys of Tennessee, has unfortunately faced challenges with air quality due to industrial activity and traffic congestion. But could there be a hidden, and rather unexpected, consequence to this haze? It appears that the density of proofreaders in Tennessee, the so-called "guardians of grammaticality," may have an astonishingly tight bond with the air quality in Chattanooga. It's almost as if the proof is in the pollution!
As with any scientific inquiry, it is crucial to approach this correlation cautiously and methodically, ensuring that our conclusions are statistically sound and not simply the result of random chance. After all, we don't want to make any "rash" claims without solid evidence!
Utilizing meticulous data collection and rigorous statistical analysis, we embarked on a journey to explore this intriguing relationship further. Our investigation aimed to determine whether there exists a significant association between air pollution levels in Chattanooga and the number of meticulous proofreaders dotting the landscape of Tennessee. Could it be that smog is not just a respiratory hazard but also a secret catalyst for the proliferation of proofreader zeal? It seems there's more to air pollution than just a breath of bad air - it's a breathed mystery with linguistic consequences!
In this paper, we will present our meticulous findings, unveiling a surprising and substantial correlation that challenges conventional wisdom and tickles the intellectual taste buds. Let's delve into this zestful journey of scientific discovery, where the air is heavy with possibilities and the sentences are grammatically spotless!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the intertwined fates of air pollution and proofreaders, we embarked on a data-gathering quest of epic proportions. Our research team scoured the digital landscape, navigating through the treacherous terrain of online databases and government repositories in search of the elusive numerical nuggets. After a meticulous journey through the informational labyrinth, we emerged victorious with a rich bounty of data spanning the years 2003 to 2021, obtained from the Environmental Protection Agency and the Bureau of Labor Statistics. It was a reminiscent of a scholar's quest for ancient manuscripts, only with more spreadsheets and fewer dusty tomes.

First, we gathered data on air quality in Chattanooga, Tennessee, focusing on key pollutants such as particulate matter, nitrogen dioxide, sulfur dioxide, and ozone. Our mission resembled that of a seasoned environmental detective, sifting through a virtual sea of molecules to discern the atmospheric culprits imposing themselves upon the serene skies of Chattanooga.

In parallel, we diligently compiled information on the number of proofreaders in Tennessee, harnessing the Bureau of Labor Statistics as our guide through the expansive terrain of occupational data. It was like counting commas in a sea of letters, navigating the linguistic landscape in search of those with the keen eye and steady hand necessary to untangle the web of potential typos.

With these data treasures in hand, we engaged in a tumultuous tango with statistics, employing Pearson correlation analysis to unravel the dance of air pollution and proofreader population. This statistical pas de deux allowed us to quantify the strength and direction of the relationship between these seemingly disparate variables, akin to deciphering the synchrony of two unexpected partners on the scientific stage.

Moreover, to ensure the robustness of our findings, we conducted time-series analysis to discern the temporal patterns of air pollution and proofreader presence. This methodological endeavor was akin to studying the ebb and flow of literary currents in the sea of pollution statistics, revealing the nuanced rhythm of this peculiar relationship across the years.

As a reassuring beacon of methodological prowess, we also performed regression analysis to untangle the intricate web of potential confounding variables that may influence the observed association. It was akin to traversing a maze of scholarly intrigue, navigating through the labyrinth of covariates to uncover the true essence of the link between air quality and word warriors.

In the end, our methodological odyssey encompassed a harmonious blend of data acquisition, statistical wizardry, and a dash of unconventional creativity, culminating in a thorough exploration of the intertwined destinies of polluted air and avid proofreaders. It was an academic adventure worthy of both admiration and amusement, much like a daring linguistic escapade through the smoky skies of Tennessee.


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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

For the time period 2003 to 2021, you found a correlation 0.9193428, r-squared of 0.8451911, 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]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.


-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The correlation between air pollution and its impact on human health and well-being has been a topic of great interest and concern for decades. The detrimental effects of air pollution on respiratory and cardiovascular health have been well-documented, but little attention has been given to its potential influence on more esoteric occupations. However, as the saying goes, "Where there's smog, there's proof!"
The charming city of Chattanooga, nestled in the scenic valleys of Tennessee, has unfortunately faced challenges with air quality due to industrial activity and traffic congestion. But could there be a hidden, and rather unexpected, consequence to this haze? It appears that the density of proofreaders in Tennessee, the so-called "guardians of grammaticality," may have an astonishingly tight bond with the air quality in Chattanooga. It's almost as if the proof is in the pollution!
As with any scientific inquiry, it is crucial to approach this correlation cautiously and methodically, ensuring that our conclusions are statistically sound and not simply the result of random chance. After all, we don't want to make any "rash" claims without solid evidence!
Utilizing meticulous data collection and rigorous statistical analysis, we embarked on a journey to explore this intriguing relationship further. Our investigation aimed to determine whether there exists a significant association between air pollution levels in Chattanooga and the number of meticulous proofreaders dotting the landscape of Tennessee. Could it be that smog is not just a respiratory hazard but also a secret catalyst for the proliferation of proofreader zeal? It seems there's more to air pollution than just a breath of bad air - it's a breathed mystery with linguistic consequences!
In this paper, we will present our meticulous findings, unveiling a surprising and substantial correlation that challenges conventional wisdom and tickles the intellectual taste buds. Let's delve into this zestful journey of scientific discovery, where the air is heavy with possibilities and the sentences are grammatically spotless!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The correlation analysis between air pollution in Chattanooga, Tennessee, and the number of proofreaders in the state yielded a remarkable correlation coefficient of 0.9193428, indicating a strong positive relationship between these seemingly disparate variables. This finding suggests that as the air quality in Chattanooga deteriorated over the period from 2003 to 2021, the quantity of meticulous proofreaders in Tennessee tended to increase. It's as if the air pollution was inadvertently cultivating a garden of grammatical guardians!

The r-squared value of 0.8451911 further highlights the substantial proportion of the variation in the number of proofreaders that can be explained by changes in air pollution levels. This statistical coupling seems to suggest that as the pollution thickens, so does the desire for error detection and grammatical precision. If only it were as easy to eradicate typos as it is to identify airborne particulate matter!

The p-value of less than 0.01 confirms the statistical significance of the relationship, indicating that the observed correlation is highly unlikely to be a result of random chance. It's almost as rare as finding a typo in a best-selling novel!

Furthermore, the scatterplot (Fig. 1) visually depicts the strong positive correlation between air pollution in Chattanooga and the number of proofreaders in Tennessee. The upward trend in the data points is as clear as a well-crafted sentence – it seems that as the air quality worsens, the number of proofreaders rises in tandem.

Our findings point to a captivating and robust statistical association that defies conventional expectations. It appears that there might be more to air pollution than meets the eye – it's not just about particles in the air, but potentially about polishing prose and eliminating errors. This compelling relationship prompts further investigation into the underlying mechanisms and potential causal pathways. We hope that our study will serve as a breath of fresh air in the realm of environmental and linguistic research, and inspire future inquiries into the unexpected connections that permeate our world.


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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.


[[LITERATURE REVIEW]]
Prior studies have extensively examined the adverse health implications of air pollution, focusing on respiratory and cardiovascular outcomes (Smith, et al., 2015; Doe & Jones, 2018). However, as we endeavor to untangle the curious association between air pollution in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State, our review expands into uncharted territory, where statistical inferences collide with whimsical wordplay.
The findings of "The Book of Zesty Air and Zealous Proofreaders" shed light on a surprising parallel between the increase in air pollution levels and the proliferation of meticulous proofreaders in Tennessee. This unexpected correlation seems to suggest that the hazy atmosphere may serve as a beacon for grammar guardians, attracting them like misplaced commas in need of correction. The question arises: Is the air pollution in Chattanooga inadvertently nurturing a legion of linguistic avengers, or are proofreaders flocking to Tennessee to combat grammatical errors as thick as the smog? It's a conundrum worthy of Sherlock Holmes himself, or rather, "Sher-lock Your Spelling" (an imaginary title we just made up).
In a departure from traditional research literature, "Air Pollution and the Proliferation of Proofreaders: Fact or Fiction?" delves into the world of fiction for insights. The works of J.K. Rowling, notably "Harry Potter and the Typo of Grammar," may offer theoretical foundations mingled with spells of proofreading prowess, while George R.R. Martin's "A Song of Grammar and Smog" could serve as a metaphorical guide to our investigation. As we navigate this unconventional course, we must remain vigilant in our pursuit of empirical evidence, embracing statistical rigor amidst the whimsy of wordplay.
Our search for enlightening perspectives extended to the realms of animated entertainment. "The Smoggy Adventures of Syntax Sleuths" and "Captain Proofreader: Smog War Chronicles" became allegorical touchstones for the unexpected synergy between air pollution and the proliferation of proofreaders. As the narrative unfolds, we find ourselves nestled in a whimsical world where statistical analysis and dad jokes form an improbable alliance, much like the marriage of air pollution and proofreading prowess in Tennessee.
The interplay between data-driven inquiry and linguistic lightheartedness emboldens our journey, as we strive to decipher the enigmatic connection between air pollution zest and the best proofreaders in the West. This literature review serves as a testament to the unexpected marvels that emerge when statistical analysis collides with comedic contemplation, reminding us that science can be both rigorous and delightfully absurd.

[[RESULTS]]
The correlation analysis between air pollution in Chattanooga, Tennessee, and the number of proofreaders in the state yielded a remarkable correlation coefficient of 0.9193428, indicating a strong positive relationship between these seemingly disparate variables. This finding suggests that as the air quality in Chattanooga deteriorated over the period from 2003 to 2021, the quantity of meticulous proofreaders in Tennessee tended to increase. It's as if the air pollution was inadvertently cultivating a garden of grammatical guardians!
The r-squared value of 0.8451911 further highlights the substantial proportion of the variation in the number of proofreaders that can be explained by changes in air pollution levels. This statistical coupling seems to suggest that as the pollution thickens, so does the desire for error detection and grammatical precision. If only it were as easy to eradicate typos as it is to identify airborne particulate matter!
The p-value of less than 0.01 confirms the statistical significance of the relationship, indicating that the observed correlation is highly unlikely to be a result of random chance. It's almost as rare as finding a typo in a best-selling novel!
Furthermore, the scatterplot (Fig. 1) visually depicts the strong positive correlation between air pollution in Chattanooga and the number of proofreaders in Tennessee. The upward trend in the data points is as clear as a well-crafted sentence – it seems that as the air quality worsens, the number of proofreaders rises in tandem.
Our findings point to a captivating and robust statistical association that defies conventional expectations. It appears that there might be more to air pollution than meets the eye – it's not just about particles in the air, but potentially about polishing prose and eliminating errors. This compelling relationship prompts further investigation into the underlying mechanisms and potential causal pathways. We hope that our study will serve as a breath of fresh air in the realm of environmental and linguistic research, and inspire future inquiries into the unexpected connections that permeate our world.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study sought to shed light on the correlation between air pollution in Chattanooga, Tennessee, and the number of proofreaders in the state. Our results revealed a remarkably strong positive relationship, supporting the notion that as the air quality in Chattanooga deteriorates, the abundance of meticulous proofreaders in Tennessee tends to increase. It's like the pollution is inadvertently spelling out the need for error detection and grammatical vigilance!

The robust correlation coefficient of 0.9193428, along with the high statistical significance indicated by the p-value of less than 0.01, firmly corroborates findings from prior research. It's as reliable as a well-proofread manuscript, leaving little room for random chance to sneak in like a sneaky grammatical error.

Picking up on the whimsical musings in our literature review, it's plausible to consider how the hazy atmosphere in Chattanooga might be serving as a beacon, drawing linguistic guardians like moths to a flame. Perhaps the pollution acts as a catalyst, nurturing a legion of grammar aficionados who are determined to clear the air, one correctly placed comma at a time. It's as if the pollution is creating literal and figurative "air-ors" that drive the establishment of a stronghold of error eliminators in Tennessee!

The findings from this investigation coincide with the peculiar parallels drawn from both fictitious works and animated entertainment. This emphasizes the unexpected synergy between air pollution and the proliferation of proofreaders. The statistical analysis humorously joins forces with the whimsical world of wordplay, echoing the unexpected marvels that emerge when thoughtfully analyzing data and tongue-in-cheek observations.

The narrative of our research emboldens the pursuit of empirical evidence, while navigating through the whimsical world where statistical analysis and dad jokes form an improbable alliance, much like the marriage of air pollution and proofreading prowess in Tennessee. These findings underscore the importance of approaching scientific inquiry with both rigor and a hint of delightful absurdity.

Our study provides valuable insights into the intricate relationship between environmental factors and linguistic aptitude, offering a breath of fresh air in the realm of interconnected research domains. It sparks curiosity and opens up a new realm of inquiry into the underlying mechanisms and causal pathways that intertwine the pollution and proofreading model. As we continue to explore this unlikely connection, we are reminded that science can be rigorous, yet delightfully absurd, much like a well-crafted dad joke.


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 pollution in Chattanooga, Tennessee and The number of proofreaders in Tennessee. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West

[[ABSTRACT]]
In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.

Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.


[[INTRDUCTION]]
The correlation between air pollution and its impact on human health and well-being has been a topic of great interest and concern for decades. The detrimental effects of air pollution on respiratory and cardiovascular health have been well-documented, but little attention has been given to its potential influence on more esoteric occupations. However, as the saying goes, "Where there's smog, there's proof!"
The charming city of Chattanooga, nestled in the scenic valleys of Tennessee, has unfortunately faced challenges with air quality due to industrial activity and traffic congestion. But could there be a hidden, and rather unexpected, consequence to this haze? It appears that the density of proofreaders in Tennessee, the so-called "guardians of grammaticality," may have an astonishingly tight bond with the air quality in Chattanooga. It's almost as if the proof is in the pollution!
As with any scientific inquiry, it is crucial to approach this correlation cautiously and methodically, ensuring that our conclusions are statistically sound and not simply the result of random chance. After all, we don't want to make any "rash" claims without solid evidence!
Utilizing meticulous data collection and rigorous statistical analysis, we embarked on a journey to explore this intriguing relationship further. Our investigation aimed to determine whether there exists a significant association between air pollution levels in Chattanooga and the number of meticulous proofreaders dotting the landscape of Tennessee. Could it be that smog is not just a respiratory hazard but also a secret catalyst for the proliferation of proofreader zeal? It seems there's more to air pollution than just a breath of bad air - it's a breathed mystery with linguistic consequences!
In this paper, we will present our meticulous findings, unveiling a surprising and substantial correlation that challenges conventional wisdom and tickles the intellectual taste buds. Let's delve into this zestful journey of scientific discovery, where the air is heavy with possibilities and the sentences are grammatically spotless!

[[RESULTS]]
The correlation analysis between air pollution in Chattanooga, Tennessee, and the number of proofreaders in the state yielded a remarkable correlation coefficient of 0.9193428, indicating a strong positive relationship between these seemingly disparate variables. This finding suggests that as the air quality in Chattanooga deteriorated over the period from 2003 to 2021, the quantity of meticulous proofreaders in Tennessee tended to increase. It's as if the air pollution was inadvertently cultivating a garden of grammatical guardians!
The r-squared value of 0.8451911 further highlights the substantial proportion of the variation in the number of proofreaders that can be explained by changes in air pollution levels. This statistical coupling seems to suggest that as the pollution thickens, so does the desire for error detection and grammatical precision. If only it were as easy to eradicate typos as it is to identify airborne particulate matter!
The p-value of less than 0.01 confirms the statistical significance of the relationship, indicating that the observed correlation is highly unlikely to be a result of random chance. It's almost as rare as finding a typo in a best-selling novel!
Furthermore, the scatterplot (Fig. 1) visually depicts the strong positive correlation between air pollution in Chattanooga and the number of proofreaders in Tennessee. The upward trend in the data points is as clear as a well-crafted sentence – it seems that as the air quality worsens, the number of proofreaders rises in tandem.
Our findings point to a captivating and robust statistical association that defies conventional expectations. It appears that there might be more to air pollution than meets the eye – it's not just about particles in the air, but potentially about polishing prose and eliminating errors. This compelling relationship prompts further investigation into the underlying mechanisms and potential causal pathways. We hope that our study will serve as a breath of fresh air in the realm of environmental and linguistic research, and inspire future inquiries into the unexpected connections that permeate our world.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has revealed a striking and statistically robust relationship between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the state. It seems that as the smog thickens, so do the ranks of those well-versed in the art of error detection. One might say that the pollution acts as a catalyst for typo vigilantes, turning the air into a breeding ground for grammatical correctness. It's as if the air pollution inadvertently fueled a surge in proofreader enthusiasm. After all, where there’s smog, there’s proof!

Our findings shed light on a fascinating and unexpected connection that expands our understanding of the influences shaping occupational distribution. It's almost as if the bad air is compensating for its impact on health by cultivating a surplus of meticulous proofreaders. It's a breath of irony in the realm of environmental and occupational dynamics.

As we wrap up, we must acknowledge that this research has certainly left us gasping for more. It opens up a world of wordplay worthy of further investigation, with dimensions as complex as parsing a particularly tricky sentence. It's almost as if the air pollution is whispering to us, urging further exploration of its linguistic consequences. Perhaps we should be on the lookout for air quotes in the next phase of this research!

However, based on our robust findings, we assert that no further research is needed in this area. The statistical strength of our results leaves little room for doubt, and as Dalai Lama once said, "The more you know, the less you need." It seems we've inhaled every potential insight from this fascinating relationship between air quality and grammatical guardianship. No need to spell it out – this conclusion is as airtight as they come!


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 A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Absurd Atmospheric Research


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 A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Airborne Humor Studies


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 A Breath of Fresh Jest: The Link Between Air Pollution Zest and the Best Proofreaders in the West with an abstract of In this study, we sought to unravel the perplexing connection between air pollution levels in Chattanooga, Tennessee, and the abundance of proofreaders in the Volunteer State. Harnessing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we utilized a statistical approach to delve into this enigma. Our findings revealed a striking correlation coefficient of 0.9193428 and a p-value of less than 0.01, indicating a robust statistical relationship between the two variables from 2003 to 2021.
Just as oxygen is essential for life, so is this research for the scientific community! Our results suggest that as air quality in Chattanooga worsens, the number of proofreaders in Tennessee tends to increase. It seems that as smog thickens, so do the ranks of those well-versed in the art of error detection. This intriguing pattern prompts a new question: are proofreaders drawn to the state to "clear the air," or does the pollution serve as a breeding ground for typo vigilantes? Our study opens up a world of wordplay worthy of further investigation.

ChatGPT:

Air pollution, proofreaders, Tennessee, Chattanooga, correlation, statistical relationship, environmental protection agency data, bureau of labor statistics, smog, typo vigilantes, wordplay

*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 air quality at 'unhealthy for sensitive groups' or worse in Chattanooga, TN-GA
Source: Environmental Protection Agency
See what else correlates with Air pollution in Chattanooga, Tennessee

The number of proofreaders in Tennessee
Detailed data title: BLS estimate of proofreaders and copy markers in Tennessee
Source: Bureau of Larbor Statistics
See what else correlates with The number of proofreaders in Tennessee

Correlation r = 0.9193428 (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 = 0.8451911 (Coefficient of determination)
This means 84.5% of the change in the one variable (i.e., The number of proofreaders in Tennessee) is predictable based on the change in the other (i.e., Air pollution in Chattanooga, Tennessee) over the 19 years from 2003 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.7E-8. 0.0000000266698014348449300000
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 0.92 in 2.7E-6% of random cases. Said differently, if you correlated 37,495,592 random variables You don't actually need 37 million 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 18 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 18 because we have two variables measured over a period of 19 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.8, 0.97 ] 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.
2003200420052006200720082009201020112012201320142015201620172018201920202021
Air pollution in Chattanooga, Tennessee (Bad air quality days)6.993014.89519.7222210.580215.46964.644811.095895.540172.785523.1250.2754820.2739730.8264461.392760.5524860.27397300.2747250.569801
The number of proofreaders in Tennessee (Laborers)31026035038039023018017011014012014013012012070904040




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([6.99301,4.8951,9.72222,10.5802,15.4696,4.64481,1.09589,5.54017,2.78552,3.125,0.275482,0.273973,0.826446,1.39276,0.552486,0.273973,0,0.274725,0.569801,])
array_2 = np.array([310,260,350,380,390,230,180,170,110,140,120,140,130,120,120,70,90,40,40,])
array_1_name = "Air pollution in Chattanooga, Tennessee"
array_2_name = "The number of proofreaders in Tennessee"

# 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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Correlation ID: 3507 · Black Variable ID: 20451 · Red Variable ID: 14571
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