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Spurious correlation #5,559 · 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 Wausau, Wisconsin and the second variable is The number of fast food cooks in Wisconsin.  The chart goes from 2003 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The cleaner air led to an increase in people wanting to cook at home, reducing the demand for fast food cooks. This inadvertently sparked a statewide amateur cooking revolution, with Wisconsinites trading in their spatulas for a chance to sizzle up some homemade masterpieces. It's a gouda thing for public health, but a major missed steak for fast food joints statewide!

Model: dalle-3
Prompt: Generate an image of a lively Wausau, Wisconsin neighborhood with the clear, vibrant skies overhead. Show families and individuals in their warm, cozy kitchens, adorned with the glow of camaraderie and the scents of delectable homemade meals. In stark contrast, depict fast food joints in Wisconsin with desolate, silent kitchens, devoid of the hustle and bustle that once defined them. The air is filled with the tantalizing aroma of sizzling homemade dishes, indicating a monumental statewide shift towards home cooking. The fast food restaurants remain untouched, their fryers and grills cooling off as the amateur cooking revolution takes hold. 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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. 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: A TIME magazine cover image Cute cartoon Concept art Steampunk Magic realism
ChatGPT: A TIME 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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin, in the following situation: The cleaner air led to an increase in people wanting to cook at home, reducing the demand for fast food cooks. This inadvertently sparked a statewide amateur cooking revolution, with Wisconsinites trading in their spatulas for a chance to sizzle up some homemade masterpieces. It's a gouda thing for public health, but a major missed steak for fast food joints statewide!. Keep the description simple.
ChatGPT: Picture the clear, crisp skies over Wausau, Wisconsin, with families and individuals gathered in their kitchens, excitedly making homemade meals. In contrast, fast food joints in Wisconsin are experiencing a shortage of cooks, with their once-bustling kitchens now quiet and empty. The aroma of sizzling homemade dishes fills the air, signaling a statewide shift towards home cooking, while the fast food restaurants stand still, their fryers and grills cooling off in the wake of the amateur cooking revolution.

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 TIME magazine cover image ] and depicting this scene: Picture the clear, crisp skies over Wausau, Wisconsin, with families and individuals gathered in their kitchens, excitedly making homemade meals. In contrast, fast food joints in Wisconsin are experiencing a shortage of cooks, with their once-bustling kitchens now quiet and empty. The aroma of sizzling homemade dishes fills the air, signaling a statewide shift towards home cooking, while the fast food restaurants stand still, their fryers and grills cooling off in the wake of the amateur cooking revolution. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a lively Wausau, Wisconsin neighborhood with the clear, vibrant skies overhead. Show families and individuals in their warm, cozy kitchens, adorned with the glow of camaraderie and the scents of delectable homemade meals. In stark contrast, depict fast food joints in Wisconsin with desolate, silent kitchens, devoid of the hustle and bustle that once defined them. The air is filled with the tantalizing aroma of sizzling homemade dishes, indicating a monumental statewide shift towards home cooking. The fast food restaurants remain untouched, their fryers and grills cooling off as the amateur cooking revolution takes hold.

*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 Wausau, Wisconsin caused The number of fast food cooks in Wisconsin to decrease.

AI academic paper

(Because p < 0.01)
Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin

Journal of Culinary Pollution Studies

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 researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of jokes, goofy observations, and puns.

Make the title a clever pun.

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 0.8009571 and p < 0.01 for 2003 to 2022.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of 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]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
Introduction

Air pollution and fast food, two seemingly unrelated subjects, are about to engage in a sizzling conversation in this paper. While one is about the quality of the air we breathe, the other is about the quality (or lack thereof) of the food we consume. But hold on to your aprons, because we've unearthed a connection that's juicier than a well-grilled burger.

It's no secret that air pollution has been a hot topic in environmental research. From carbon emissions to particulate matter, we've invested countless dollars and brain cells into studying how air quality affects our health and climate. But have we ever stopped to think about its impact on the job market, particularly in the fast food industry? We're not just flipping patties here, folks; we're serving up a side of labor economics with a dash of spicy statistics.

Our research dives into the heart of the cheese curd capital of the world - Wausau, Wisconsin - to investigate the correlation between air pollution levels and the number of fast food cooks in the state. And let us tell you, the results we've cooked up are more surprising than finding a pickle in your french fries. We didn't just stumble upon a connection; we stumbled upon a statistical romance worthy of a scientific soap opera.

So, why should we care about the number of fast food cooks in Wisconsin? Well, aside from the obvious need for experts in the art of frying, grilling, and assembling, it turns out that employment in the fast food industry reflects broader economic and environmental trends. The number of fast food cooks isn't just a statistic; it's a thermometer for the state of the labor market, and our research suggests that air pollution might be turning up the heat.

Grab your lab coat and a bib, because we're about to embark on a deliriously delicious journey through the aromatic world of environmental and labor economics. As we explore the delectable dynamics between air quality and the fast food workforce, we hope to sprinkle some fun into what might otherwise be a dry and unappetizing topic. So, buckle up and get ready to sink your teeth into the quirks of our findings. It's a scientific feast fit for a hungry mind.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.

Here is the title and abstract of the paper:
[[TITLE]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Introduction
Air pollution and fast food, two seemingly unrelated subjects, are about to engage in a sizzling conversation in this paper. While one is about the quality of the air we breathe, the other is about the quality (or lack thereof) of the food we consume. But hold on to your aprons, because we've unearthed a connection that's juicier than a well-grilled burger.
It's no secret that air pollution has been a hot topic in environmental research. From carbon emissions to particulate matter, we've invested countless dollars and brain cells into studying how air quality affects our health and climate. But have we ever stopped to think about its impact on the job market, particularly in the fast food industry? We're not just flipping patties here, folks; we're serving up a side of labor economics with a dash of spicy statistics.
Our research dives into the heart of the cheese curd capital of the world - Wausau, Wisconsin - to investigate the correlation between air pollution levels and the number of fast food cooks in the state. And let us tell you, the results we've cooked up are more surprising than finding a pickle in your french fries. We didn't just stumble upon a connection; we stumbled upon a statistical romance worthy of a scientific soap opera.
So, why should we care about the number of fast food cooks in Wisconsin? Well, aside from the obvious need for experts in the art of frying, grilling, and assembling, it turns out that employment in the fast food industry reflects broader economic and environmental trends. The number of fast food cooks isn't just a statistic; it's a thermometer for the state of the labor market, and our research suggests that air pollution might be turning up the heat.
Grab your lab coat and a bib, because we're about to embark on a deliriously delicious journey through the aromatic world of environmental and labor economics. As we explore the delectable dynamics between air quality and the fast food workforce, we hope to sprinkle some fun into what might otherwise be a dry and unappetizing topic. So, buckle up and get ready to sink your teeth into the quirks of our findings. It's a scientific feast fit for a hungry mind.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

As we delve into the connection between air pollution and the number of fast food cooks in Wausau, Wisconsin, we first turn our attention to Smith's seminal work "Air Pollution and Its Impacts on Local Labor Markets" (2015). Smith's research brings to light the potential economic consequences of air pollution, but what about the olfactory consequences? Let's not forget that our sense of smell is as much a part of the labor market as our sense of employment.

Doe further contributes to the field with the comprehensive study "Fast Food Employment Trends in the Midwest" (2018), shedding light on the fluctuating workforce dynamics in the fast food industry. But does this study consider the aromatic allure of fried delicacies in relation to air pollution? A missing dimension, we dare say!

Jones' work on "Environmental Quality and Economic Growth" (2017) provides a robust exploration of the interplay between environmental factors and economic development. However, the thread unraveling the interconnection between air pollution and the allure of fast food aromas seems to have escaped even the most astute of economists.

Turning to non-fiction literature related to our topic, "The Omnivore's Dilemma" by Michael Pollan (2006) and "Fast Food Nation" by Eric Schlosser (2001) offer substantial insights into the fast food industry and its impact on society. But do these authors dare to explore the potential link between the pungent perfumes of deep-fried delights and environmental pollutants? Alas, the world may never know.

Steering into the realm of fiction, we encounter Margaret Atwood's "Oryx and Crake" (2003) and George Orwell's "1984" (1949), both of which offer dystopian visions of the relationship between environmental degradation and societal structures. However, the tantalizing scent of freshly fried potatoes and the wafting aroma of sizzling burgers seem to be overshadowed by more dire concerns in these literary works.

In an unconventional turn, we found ourselves perusing the backs of shampoo bottles and air freshener labels, hoping to stumble upon a revelatory correlation between air pollution and the demand for fast food cooks. Alas, we emerged with fragrant tresses and scented rooms but no substantial insights into our research inquiry.

In our pursuit of truth, we have discovered that while serious research has illuminated the economic and environmental dimensions of air pollution and fast food employment, there remains an unexplored olfactory dimension that might just be the missing ingredient in our understanding of this quirky connection. With a hint of humor and a dash of whimsy, we aim to bring this aromatic anomaly to the forefront of academic discourse.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of 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 Bureau of Larbor Statistics . You used data from 2003 to 2022

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

[[INTRODUCTION]]
Introduction
Air pollution and fast food, two seemingly unrelated subjects, are about to engage in a sizzling conversation in this paper. While one is about the quality of the air we breathe, the other is about the quality (or lack thereof) of the food we consume. But hold on to your aprons, because we've unearthed a connection that's juicier than a well-grilled burger.
It's no secret that air pollution has been a hot topic in environmental research. From carbon emissions to particulate matter, we've invested countless dollars and brain cells into studying how air quality affects our health and climate. But have we ever stopped to think about its impact on the job market, particularly in the fast food industry? We're not just flipping patties here, folks; we're serving up a side of labor economics with a dash of spicy statistics.
Our research dives into the heart of the cheese curd capital of the world - Wausau, Wisconsin - to investigate the correlation between air pollution levels and the number of fast food cooks in the state. And let us tell you, the results we've cooked up are more surprising than finding a pickle in your french fries. We didn't just stumble upon a connection; we stumbled upon a statistical romance worthy of a scientific soap opera.
So, why should we care about the number of fast food cooks in Wisconsin? Well, aside from the obvious need for experts in the art of frying, grilling, and assembling, it turns out that employment in the fast food industry reflects broader economic and environmental trends. The number of fast food cooks isn't just a statistic; it's a thermometer for the state of the labor market, and our research suggests that air pollution might be turning up the heat.
Grab your lab coat and a bib, because we're about to embark on a deliriously delicious journey through the aromatic world of environmental and labor economics. As we explore the delectable dynamics between air quality and the fast food workforce, we hope to sprinkle some fun into what might otherwise be a dry and unappetizing topic. So, buckle up and get ready to sink your teeth into the quirks of our findings. It's a scientific feast fit for a hungry mind.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

METHODOLOGY

Alright, fellow scientific enthusiasts, it's time to lift the lid on our research recipe and reveal the tantalizing methods we used to cook up these findings. But before we get too carried away, let's not forget that a key ingredient in any scientific study is a healthy dose of rigor and precision. So, hold onto your chef hats as we break down the steps we took to concoct this flavorful investigation.

Data Collection:
We scoured the internet like a diligent sous chef searching for the freshest ingredients, and by freshest ingredients, we mean raw data. Our foraging led us to the databases of the Environmental Protection Agency and the Bureau of Labor Statistics, where we gathered air pollution levels and employment figures in the fast food industry from 2003 to 2022. It was like peeling back the layers of an onion – utterly tear-inducing, but ultimately worthwhile.

Variables Abound:
Now, let's talk about the stars of our culinary show – the variables. We measured air pollution levels in Wausau, Wisconsin, using the air quality index (AQI), which encompasses pollutants like ground-level ozone, particulate matter, carbon monoxide, and sulfur dioxide. As for the fast food industry, we focused on the number of cooks employed in establishments across Wisconsin. We threw those variables into our statistical cauldron and stirred until we reached a statistically significant concoction.

Analytical Techniques:
In the spirit of experimentation, we employed a variety of statistical methods to whip up our analysis. We started off with some old-fashioned correlation analysis to stir the pot and see if there was any heat between our variables. Once we found a sizzling correlation, we cranked up the heat and performed a regression analysis to tease out the relationship between air pollution and the number of fast food cooks. Let's just say there was a fair amount of number-crunching involved – we practically turned our calculator into a grill.

Quality Control:
We didn't pop our research into the oven without first making sure the recipe was just right. Our data underwent rigorous scrutiny to ensure that it was as crisp and accurate as a perfectly fried batch of chicken tenders. We sifted through outliers, checked for data integrity, and performed sensitivity analyses to verify that our findings were as flavorful as a well-seasoned dish.

Now that we've taken you on a whirlwind tour of our methodological kitchen, it's time to dish up the results. We just hope you've worked up an appetite for some scientific insights served with a side of humor. Bon appétit!


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of 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 Bureau of Larbor Statistics .

For the time period 2003 to 2022, you found a correlation 0.8009571, r-squared of 0.6415322, 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]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Introduction
Air pollution and fast food, two seemingly unrelated subjects, are about to engage in a sizzling conversation in this paper. While one is about the quality of the air we breathe, the other is about the quality (or lack thereof) of the food we consume. But hold on to your aprons, because we've unearthed a connection that's juicier than a well-grilled burger.
It's no secret that air pollution has been a hot topic in environmental research. From carbon emissions to particulate matter, we've invested countless dollars and brain cells into studying how air quality affects our health and climate. But have we ever stopped to think about its impact on the job market, particularly in the fast food industry? We're not just flipping patties here, folks; we're serving up a side of labor economics with a dash of spicy statistics.
Our research dives into the heart of the cheese curd capital of the world - Wausau, Wisconsin - to investigate the correlation between air pollution levels and the number of fast food cooks in the state. And let us tell you, the results we've cooked up are more surprising than finding a pickle in your french fries. We didn't just stumble upon a connection; we stumbled upon a statistical romance worthy of a scientific soap opera.
So, why should we care about the number of fast food cooks in Wisconsin? Well, aside from the obvious need for experts in the art of frying, grilling, and assembling, it turns out that employment in the fast food industry reflects broader economic and environmental trends. The number of fast food cooks isn't just a statistic; it's a thermometer for the state of the labor market, and our research suggests that air pollution might be turning up the heat.
Grab your lab coat and a bib, because we're about to embark on a deliriously delicious journey through the aromatic world of environmental and labor economics. As we explore the delectable dynamics between air quality and the fast food workforce, we hope to sprinkle some fun into what might otherwise be a dry and unappetizing topic. So, buckle up and get ready to sink your teeth into the quirks of our findings. It's a scientific feast fit for a hungry mind.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

We rolled up our sleeves, donned our statistical aprons, and got cooking with the data to uncover the juicy gossip between air pollution in Wausau and the number of fast food cooks in Wisconsin. Lo and behold, we found a correlation coefficient of 0.8009571, an r-squared value of 0.6415322, and a p-value less than 0.01.

The scatterplot in Fig. 1 tells a story better than a gossip column—there's a strong relationship between air pollution levels and the number of fast food cooks. It's a match made in statistical heaven, or perhaps more fittingly, in the sizzling heat of a fast food kitchen.

While we expected some hot air, we didn't anticipate the degree of correlation we uncovered. It's like finding out your burger comes with a side of fries, and then discovering it also comes with a soda and an ice cream sundae. The data speaks for itself, revealing a connection hotter than a fresh batch of onion rings.

Our findings point to a mouth-watering link between environmental factors and the fast food workforce. The aroma of statistical significance is wafting through the air, and it's making us hungry for more research into these engaging, albeit surprising, relationships.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of 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]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

[[LITERATURE REVIEW]]
As we delve into the connection between air pollution and the number of fast food cooks in Wausau, Wisconsin, we first turn our attention to Smith's seminal work "Air Pollution and Its Impacts on Local Labor Markets" (2015). Smith's research brings to light the potential economic consequences of air pollution, but what about the olfactory consequences? Let's not forget that our sense of smell is as much a part of the labor market as our sense of employment.
Doe further contributes to the field with the comprehensive study "Fast Food Employment Trends in the Midwest" (2018), shedding light on the fluctuating workforce dynamics in the fast food industry. But does this study consider the aromatic allure of fried delicacies in relation to air pollution? A missing dimension, we dare say!
Jones' work on "Environmental Quality and Economic Growth" (2017) provides a robust exploration of the interplay between environmental factors and economic development. However, the thread unraveling the interconnection between air pollution and the allure of fast food aromas seems to have escaped even the most astute of economists.
Turning to non-fiction literature related to our topic, "The Omnivore's Dilemma" by Michael Pollan (2006) and "Fast Food Nation" by Eric Schlosser (2001) offer substantial insights into the fast food industry and its impact on society. But do these authors dare to explore the potential link between the pungent perfumes of deep-fried delights and environmental pollutants? Alas, the world may never know.
Steering into the realm of fiction, we encounter Margaret Atwood's "Oryx and Crake" (2003) and George Orwell's "1984" (1949), both of which offer dystopian visions of the relationship between environmental degradation and societal structures. However, the tantalizing scent of freshly fried potatoes and the wafting aroma of sizzling burgers seem to be overshadowed by more dire concerns in these literary works.
In an unconventional turn, we found ourselves perusing the backs of shampoo bottles and air freshener labels, hoping to stumble upon a revelatory correlation between air pollution and the demand for fast food cooks. Alas, we emerged with fragrant tresses and scented rooms but no substantial insights into our research inquiry.
In our pursuit of truth, we have discovered that while serious research has illuminated the economic and environmental dimensions of air pollution and fast food employment, there remains an unexplored olfactory dimension that might just be the missing ingredient in our understanding of this quirky connection. With a hint of humor and a dash of whimsy, we aim to bring this aromatic anomaly to the forefront of academic discourse.

[[RESULTS]]
We rolled up our sleeves, donned our statistical aprons, and got cooking with the data to uncover the juicy gossip between air pollution in Wausau and the number of fast food cooks in Wisconsin. Lo and behold, we found a correlation coefficient of 0.8009571, an r-squared value of 0.6415322, and a p-value less than 0.01.
The scatterplot in Fig. 1 tells a story better than a gossip column—there's a strong relationship between air pollution levels and the number of fast food cooks. It's a match made in statistical heaven, or perhaps more fittingly, in the sizzling heat of a fast food kitchen.
While we expected some hot air, we didn't anticipate the degree of correlation we uncovered. It's like finding out your burger comes with a side of fries, and then discovering it also comes with a soda and an ice cream sundae. The data speaks for itself, revealing a connection hotter than a fresh batch of onion rings.
Our findings point to a mouth-watering link between environmental factors and the fast food workforce. The aroma of statistical significance is wafting through the air, and it's making us hungry for more research into these engaging, albeit surprising, relationships.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our results highlight a sizzling connection between air pollution in Wausau, Wisconsin, and the number of fast food cooks in the state. Building upon Smith's serious work on air pollution and local labor markets, we've added an aromatic twist to the tale, emphasizing the olfactory dimension. Clearly, the crispy, tantalizing allure of fast food in the air might just be drawing more cooks to the kitchen amidst the haze of pollution.

Doe's exploration of fast food employment trends in the Midwest pales in comparison to the flavorful fragrance of our findings. Who knew that the fluctuating workforce dynamics might be influenced by the aroma of air-fried delicacies? It seems that "Fast Food Nation" misses the mark when failing to delve into the tantalizing relationship between sizzling burgers and the environmental milieu.

In the fashion of Orwell's "1984," the overbearing presence of air pollution seems to influence not just the economy but also the culinary choices of the workforce. Our statistical stir-fry of data has uncovered a relationship hotter than a fresh batch of fries, adding an unexpected twist to the dystopian narrative.

Our findings add an unexpected twist to the oft-discussed connection between environmental factors and economic dynamics. It's like stumbling upon an unexpected ingredient in a familiar recipe, adding a dash of surprise to the scientific stew.

Our lighthearted take on a seemingly offbeat pairing provides a new lens through which to view the intricate interplay between environmental quality and labor dynamics. The piquant scent of significant results leaves us hungry for further exploration of these engaging, albeit surprising, relationships. This research serves as a flavorful reminder that even in the world of academia, a sprinkle of humor and a pinch of whimsy can lead to unexpected and delightful discoveries.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 Wausau, Wisconsin and The number of fast food cooks in Wisconsin. Make lots of 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]]
"Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin"

[[ABSTRACT]]
In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

[[INTRDUCTION]]
Introduction
Air pollution and fast food, two seemingly unrelated subjects, are about to engage in a sizzling conversation in this paper. While one is about the quality of the air we breathe, the other is about the quality (or lack thereof) of the food we consume. But hold on to your aprons, because we've unearthed a connection that's juicier than a well-grilled burger.
It's no secret that air pollution has been a hot topic in environmental research. From carbon emissions to particulate matter, we've invested countless dollars and brain cells into studying how air quality affects our health and climate. But have we ever stopped to think about its impact on the job market, particularly in the fast food industry? We're not just flipping patties here, folks; we're serving up a side of labor economics with a dash of spicy statistics.
Our research dives into the heart of the cheese curd capital of the world - Wausau, Wisconsin - to investigate the correlation between air pollution levels and the number of fast food cooks in the state. And let us tell you, the results we've cooked up are more surprising than finding a pickle in your french fries. We didn't just stumble upon a connection; we stumbled upon a statistical romance worthy of a scientific soap opera.
So, why should we care about the number of fast food cooks in Wisconsin? Well, aside from the obvious need for experts in the art of frying, grilling, and assembling, it turns out that employment in the fast food industry reflects broader economic and environmental trends. The number of fast food cooks isn't just a statistic; it's a thermometer for the state of the labor market, and our research suggests that air pollution might be turning up the heat.
Grab your lab coat and a bib, because we're about to embark on a deliriously delicious journey through the aromatic world of environmental and labor economics. As we explore the delectable dynamics between air quality and the fast food workforce, we hope to sprinkle some fun into what might otherwise be a dry and unappetizing topic. So, buckle up and get ready to sink your teeth into the quirks of our findings. It's a scientific feast fit for a hungry mind.

[[RESULTS]]
We rolled up our sleeves, donned our statistical aprons, and got cooking with the data to uncover the juicy gossip between air pollution in Wausau and the number of fast food cooks in Wisconsin. Lo and behold, we found a correlation coefficient of 0.8009571, an r-squared value of 0.6415322, and a p-value less than 0.01.
The scatterplot in Fig. 1 tells a story better than a gossip column—there's a strong relationship between air pollution levels and the number of fast food cooks. It's a match made in statistical heaven, or perhaps more fittingly, in the sizzling heat of a fast food kitchen.
While we expected some hot air, we didn't anticipate the degree of correlation we uncovered. It's like finding out your burger comes with a side of fries, and then discovering it also comes with a soda and an ice cream sundae. The data speaks for itself, revealing a connection hotter than a fresh batch of onion rings.
Our findings point to a mouth-watering link between environmental factors and the fast food workforce. The aroma of statistical significance is wafting through the air, and it's making us hungry for more research into these engaging, albeit surprising, relationships.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has whisked us through the tantalizing world of environmental and labor economics, leaving us with a plateful of findings that are as satisfying as a well-seasoned dish. The correlation coefficient of 0.8009571 has given us more food for thought than a bottomless appetite at a buffet. Like a perfectly dressed burger, the statistical significance of our results has left us feeling both full and wanting more.

Our study has not only shed light on the quirky connection between air pollution levels in Wausau and the number of fast food cooks in Wisconsin but has also seasoned the conversation with a dash of statistical humor. If we were to dish out a punny takeaway, we'd say that our findings are nothing short of "air-frying" fantastic!

While we know our research may seem like a surprising side order in the world of scientific exploration, we believe it's as essential as salt and pepper in the realm of understanding the offbeat dynamics of labor and environmental interactions.

However, we are confident as lab-coated comedians-academicians that further research in this area is like trying to improve upon the perfect recipe - there's no need! Our findings have grilled up a delicious platter of evidence, and it's time to sit back, take a bite of our findings, and savor the tangy taste of our conclusions. We're confident that the flavor of our research will linger as a zesty reminder of the unexpected connections that simmer beneath the surface of seemingly unrelated variables.

No more research is needed in this area; we've cooked up a storm, and now it's time to savor the fruits of our labor!


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 Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Culinary Pollution Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Culinary Air Quality Research and Analysis


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 Air-frying Fast Food: Exploring the Link between Air Pollution and Fast Food Cooks in Wausau, Wisconsin with an abstract of In this study, we take a tongue-in-cheek look at the potentially serious issue of air pollution and its connection to the number of fast food cooks in Wisconsin, particularly in Wausau. Our research aims to shed light on an often undiscussed yet crucial aspect of environmental and labor economics. By analyzing data from the Environmental Protection Agency and the Bureau of Labor Statistics, we found a surprisingly strong positive correlation between air pollution levels in Wausau, Wisconsin, and the number of fast food cooks in the state. The correlation coefficient of 0.8009571 and p < 0.01 for the period from 2003 to 2022 provides a statistically significant indication of a relationship. Our findings highlight the need to further investigate the impact of air quality on employment in the fast food industry, as well as the potential health effects of "air-fried" foods. We hope that our lighthearted approach will encourage further exploration of this topic and lead to a better understanding of the quirky connections between environmental factors and labor dynamics.

ChatGPT:

air pollution, fast food cooks, Wausau, Wisconsin, environmental economics, labor economics, air quality, fast food industry employment, health effects, air-fried foods, EPA data, Bureau of Labor Statistics, correlation analysis, quirky connections, environmental factors, labor dynamics

*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 Wausau, Wisconsin
Detailed data title: Percentage of days with moderate or worse air quality in Wausau, WI
Source: Environmental Protection Agency
See what else correlates with Air pollution in Wausau, Wisconsin

The number of fast food cooks in Wisconsin
Detailed data title: BLS estimate of cooks, fast food in Wisconsin
Source: Bureau of Larbor Statistics
See what else correlates with The number of fast food cooks in Wisconsin

Correlation r = 0.8009571 (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 = 0.6415322 (Coefficient of determination)
This means 64.2% of the change in the one variable (i.e., The number of fast food cooks in Wisconsin) is predictable based on the change in the other (i.e., Air pollution in Wausau, Wisconsin) over the 20 years from 2003 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.2E-5. 0.0000220426825790853860000000
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 0.8 in 0.0022% of random cases. Said differently, if you correlated 45,367 random variables You don't actually need 45 thousand variables to find a correlation like this one. 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.

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.

[ 0.56, 0.92 ] 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.
20032004200520062007200820092010201120122013201420152016201720182019202020212022
Air pollution in Wausau, Wisconsin (Bad air quality days)27.528110.92923.118321.081117.73410.69777.83416.2512.121214.932114.77837.731965.882358.333335.9071711.63794.390243.015084.53.90244
The number of fast food cooks in Wisconsin (Cooks, Fast Food)118501093010220105309280744064605690581069507800755050904630445044905030483069605590




Why this works

  1. Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 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([27.5281,10.929,23.1183,21.0811,17.734,10.6977,7.8341,6.25,12.1212,14.9321,14.7783,7.73196,5.88235,8.33333,5.90717,11.6379,4.39024,3.01508,4.5,3.90244,])
array_2 = np.array([11850,10930,10220,10530,9280,7440,6460,5690,5810,6950,7800,7550,5090,4630,4450,4490,5030,4830,6960,5590,])
array_1_name = "Air pollution in Wausau, Wisconsin"
array_2_name = "The number of fast food cooks in Wisconsin"

# 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: 5559 · Black Variable ID: 21425 · Red Variable ID: 16254
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