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Spurious correlation #2,439 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Cottage cheese consumption and the second variable is Motor vehicle thefts in Ohio.  The chart goes from 1990 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As Cottage cheese consumption decreased, people became lactose intolerant. This led to an increase in the sales of lactose-free milk. The production of lactose-free milk requires specialized equipment, leading to a shortage of parts for manufacturing car engines. With fewer car engines available, motor vehicle thefts in Ohio naturally decreased as there were simply not enough functioning engines to steal. The dairy coincidence had curdled into a cheesy crime conundrum, leaving the lactose-intolerant thieves utterly whey-sted for mischief.

Model: dalle-3
Prompt: Sure, here's an image generation prompt for DALL-E 3 based on your request: Prompt: Generate a comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s depicting a group of thieves sitting around a table in a small Ohio town. They look tired and unenthusiastic, unable to summon the energy to carry out their thefts. The scene should convey a city-wide decline in cottage cheese consumption, which seems to have sapped their motivation. The absence of cottage cheese has caused them to resign themselves to a less lucrative, cheesy lifestyle. The scene should capture the subdued feeling of the usually bustling crime scene without the usual accompaniment of cottage cheese in their diet. Keep the visual depiction simple. Do not include any words or speech bubbles. I hope this prompt helps you in generating an interesting visual! 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: Cottage cheese consumption and Motor vehicle thefts in Ohio. 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: Photorealism Celtic art Cybernetic art A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Surrealism
ChatGPT: A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Cottage cheese consumption and Motor vehicle thefts in Ohio, in the following situation: The decrease in cottage cheese consumption left the thieves feeling whey-sted and curd-n't muster up the energy to cheddar their way into stealing cars. As a result, they had to brie content with a less gouda lifestyle, and the whole criminal process just felt too feta-ched. It's a mozz-arella miracle this correlation was ever provolone, but it seems the cheesy crime spree just couldn't cut the mustard without the calcium-rich accompaniment of cottage cheese.. Keep the description simple.
ChatGPT: In a small Ohio town, a group of thieves plotted to steal cars, but their plan was foiled by a city-wide decline in cottage cheese consumption. They sat at a table, looking tired and unenthusiastic, unable to summon the energy to carry out their thefts. The lack of cottage cheese seemed to have sapped their motivation, and they resigned themselves to a less lucrative, cheesy lifestyle. The usually bustling crime scene felt strangely subdued without the usual accompaniment of cottage cheese in their diet.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s ] and depicting this scene: In a small Ohio town, a group of thieves plotted to steal cars, but their plan was foiled by a city-wide decline in cottage cheese consumption. They sat at a table, looking tired and unenthusiastic, unable to summon the energy to carry out their thefts. The lack of cottage cheese seemed to have sapped their motivation, and they resigned themselves to a less lucrative, cheesy lifestyle. The usually bustling crime scene felt strangely subdued without the usual accompaniment of cottage cheese in their diet. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Sure, here's an image generation prompt for DALL-E 3 based on your request: Prompt: Generate a comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s depicting a group of thieves sitting around a table in a small Ohio town. They look tired and unenthusiastic, unable to summon the energy to carry out their thefts. The scene should convey a city-wide decline in cottage cheese consumption, which seems to have sapped their motivation. The absence of cottage cheese has caused them to resign themselves to a less lucrative, cheesy lifestyle. The scene should capture the subdued feeling of the usually bustling crime scene without the usual accompaniment of cottage cheese in their diet. Keep the visual depiction simple. Do not include any words or speech bubbles. I hope this prompt helps you in generating an interesting visual!

*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 Cottage cheese consumption caused Motor vehicle thefts in Ohio to decrease.

AI academic paper

(Because p < 0.01)
Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio

The Journal of Quirky Culinary Conundrums

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 Cottage cheese consumption and Motor vehicle thefts in Ohio. Make lots of jokes, goofy observations, and puns.

Make the title an alliteration.

Your research team used data from USDA and FBI Criminal Justice Information Services to assess this nagging question. You found a correlation coefficient of 0.9365406 and p < 0.01 for 1990 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]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.


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 Cottage cheese consumption and Motor vehicle thefts in Ohio. 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]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

When it comes to unexpected pairings, few things provoke disbelief as much as the unassuming cottage cheese and the mischievous world of motor vehicle thefts. One might imagine that cottage cheese, with its creamy texture and mild flavor, and car crimes, with their adrenaline-fueled escapades, would have as much in common as a chalk and cheese. However, as we dug deeper into the data, we were left utterly awestruck by the tantalizing correlation we unearthed between these two seemingly disparate realms.

The aim of this groundbreaking study is to unravel the enigmatic bond between cottage cheese consumption and motor vehicle thefts in the state of Ohio. For years, researchers and statisticians have delved into numerous variables in an attempt to comprehend the complexities of crime rates. Yet, our journey delves into uncharted territory, where we ventured to explore a connection that had been curdled in mystery until now.

As we embark on this statistical odyssey, we are compelled to approach it with a blend of scientific rigor and cheesy humor. Indeed, the pursuit of knowledge should not be devoid of amusement, and we fully intend to sprinkle this paper with a healthy dose of puns and quirky observations. After all, what's the point of statistical analysis if we can't savor the gouda moments that arise along the way?

At the heart of this investigation lies an insatiable curiosity to unravel the complexities of human behavior, permeated with the essence of cottage cheese. While some may consider this correlation to be a mere coincidence, we cannot help but brie-lieve that there may be deeper layers to this cheesy mystery. So, grab your lab coat and a wedge of cottage cheese, and let's embark on this whimsical journey of statistical exploration and crime-cracking comedy. It's bound to be a gouda time!


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 Cottage cheese consumption and Motor vehicle thefts in Ohio. 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 name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
When it comes to unexpected pairings, few things provoke disbelief as much as the unassuming cottage cheese and the mischievous world of motor vehicle thefts. One might imagine that cottage cheese, with its creamy texture and mild flavor, and car crimes, with their adrenaline-fueled escapades, would have as much in common as a chalk and cheese. However, as we dug deeper into the data, we were left utterly awestruck by the tantalizing correlation we unearthed between these two seemingly disparate realms.
The aim of this groundbreaking study is to unravel the enigmatic bond between cottage cheese consumption and motor vehicle thefts in the state of Ohio. For years, researchers and statisticians have delved into numerous variables in an attempt to comprehend the complexities of crime rates. Yet, our journey delves into uncharted territory, where we ventured to explore a connection that had been curdled in mystery until now.
As we embark on this statistical odyssey, we are compelled to approach it with a blend of scientific rigor and cheesy humor. Indeed, the pursuit of knowledge should not be devoid of amusement, and we fully intend to sprinkle this paper with a healthy dose of puns and quirky observations. After all, what's the point of statistical analysis if we can't savor the gouda moments that arise along the way?
At the heart of this investigation lies an insatiable curiosity to unravel the complexities of human behavior, permeated with the essence of cottage cheese. While some may consider this correlation to be a mere coincidence, we cannot help but brie-lieve that there may be deeper layers to this cheesy mystery. So, grab your lab coat and a wedge of cottage cheese, and let's embark on this whimsical journey of statistical exploration and crime-cracking comedy. It's bound to be a gouda time!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Understanding the unexpected correlation between cottage cheese consumption and motor vehicle thefts in Ohio has proven to be a perplexing yet amusing endeavor. While scholarly literature on this specific association is, unsurprisingly, limited, our investigation has drawn from a wide array of sources that stretch the boundaries of empirical investigation and humor in academic discourse.

Smith et al. (2005) laid the groundwork for unconventional dietary and criminal connections in their study "Food for Thought: Exploring Unorthodox Correlations." The authors find a surprising association between yogurt consumption and shoplifting instances, shedding light on the whimsical nature of gastronomic choices and their potential influence on deviant behavior. While not directly related to our specific inquiry, this work spurred our team to ponder the broader implications of dairy consumption on misdemeanor activities.

Doe (2010) expanded the comedic horizon with the publication "Cheese Crimes: A Study of Fromage-Induced Shenanigans," wherein the author comically explores anecdotal evidence of cheese's role in peculiar criminal incidents. Amidst the anecdotes of brie burglaries and camembert capers, Doe's work highlights the often-overlooked potential of dairy products to feature in slapstick crime narratives.

Jones and Smithson (2018) veered into the realm of behavioral economics with their research "The Cheddar Effect: Dairy and Decision-making." Their focus on the cognitive ramifications of dairy consumption serves as a tangential yet entertaining parallel to our own investigation, offering a more serious take on the potential impact of cheese-related variables on human actions.

Turning to more tangential fictional works, the novels "The Gouda Games" (Parody, 2016) and "Feta to Black" (Mystery, 2013) offer delightful, albeit whimsical, narratives that center around cheese-related crimes and capers. While these literary works do not offer empirical evidence, their humorous exploration of cheesy contexts and criminal antics have, without a doubt, enriched our research team's appetite for puns and playful ponderings.

On a cinematic note, "The Great Gouda Caper" and "Cheddar Chase Chronicles" stand as timeless classics within the niche subgenre of dairy-themed crime comedies. While their thematic focus is a considerable departure from empirical inquiry, these films have provided a lighthearted backdrop for our team's brainstorming sessions, reminding us that every good investigation is seasoned with a dash of wit and absurdity.

As we continue to unravel the curdled mystery of the cottage cheese-car crime enigma, our journey is underscored by the recognition that statistical analysis, no matter how rigorous, should embrace the delightful absurdity of life's quirks. Through this amalgamation of scholarly pursuits, fictional narratives, and cinematic frolics, our research team approaches the task at hand with a blend of scientific rigor and, of course, a generous sprinkle of cheesy humor.


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 Cottage cheese consumption and Motor vehicle thefts in Ohio. 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 USDA and FBI Criminal Justice Information Services . You used data from 1990 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]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

[[INTRODUCTION]]
When it comes to unexpected pairings, few things provoke disbelief as much as the unassuming cottage cheese and the mischievous world of motor vehicle thefts. One might imagine that cottage cheese, with its creamy texture and mild flavor, and car crimes, with their adrenaline-fueled escapades, would have as much in common as a chalk and cheese. However, as we dug deeper into the data, we were left utterly awestruck by the tantalizing correlation we unearthed between these two seemingly disparate realms.
The aim of this groundbreaking study is to unravel the enigmatic bond between cottage cheese consumption and motor vehicle thefts in the state of Ohio. For years, researchers and statisticians have delved into numerous variables in an attempt to comprehend the complexities of crime rates. Yet, our journey delves into uncharted territory, where we ventured to explore a connection that had been curdled in mystery until now.
As we embark on this statistical odyssey, we are compelled to approach it with a blend of scientific rigor and cheesy humor. Indeed, the pursuit of knowledge should not be devoid of amusement, and we fully intend to sprinkle this paper with a healthy dose of puns and quirky observations. After all, what's the point of statistical analysis if we can't savor the gouda moments that arise along the way?
At the heart of this investigation lies an insatiable curiosity to unravel the complexities of human behavior, permeated with the essence of cottage cheese. While some may consider this correlation to be a mere coincidence, we cannot help but brie-lieve that there may be deeper layers to this cheesy mystery. So, grab your lab coat and a wedge of cottage cheese, and let's embark on this whimsical journey of statistical exploration and crime-cracking comedy. It's bound to be a gouda time!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Now, onto the method to our madness! Our investigation into the curious correlation between cottage cheese consumption and motor vehicle thefts in Ohio involved an eclectic blend of data collection, statistical analysis, and a generous sprinkling of scientific whimsy. Let's dive into the cheesy details of our methodology.

First and foremost, we embarked on a data-gathering extravaganza, sourcing information from a variety of sources across the vast expanse of the internet. Amidst this digital treasure hunt, we stumbled upon the hallowed repositories of the United States Department of Agriculture (USDA) and the FBI Criminal Justice Information Services. These bountiful databases provided us with a veritable smorgasbord of information spanning from 1990 to 2021. Armed with this treasure trove of data, we wielded our statistical ladles and commenced our investigation.

To establish a robust foundation for our analysis, we meticulously compiled the per capita consumption of cottage cheese in Ohio, a task that required us to navigate the labyrinthine corridors of dairy consumption data. In parallel, we rustled up the incident reports of motor vehicle thefts in the Buckeye State, carefully documenting the ebbs and flows of vehicular mischief over the years. Once our data buffet was laid out before us, we engaged in a bout of data wrangling that would make even the most seasoned cowboys envious.

With our datasets in hand, we unleashed a barrage of statistical tools to unearth any lurking patterns and correlations. Our magnifying glass of choice was the Pearson correlation coefficient, which we wielded with the finesse of a dairy aficionado inspecting the curds in a vat of milk. Lo and behold, the numerical wizardry of our analysis revealed a correlation coefficient of 0.9365406, signaling a robust positive association between cottage cheese consumption and motor vehicle thefts. To further cement the credibility of our findings, we subjected our correlation to the scrutiny of a two-tailed t-test, which regaled us with a p-value of less than 0.01, thus affirming the statistical significance of our discovery.

Now, it is with great excitement and a sprinkle of Parmesan that we present the findings of our whimsical investigation, eagerly inviting fellow researchers and aficionados of statistical cheddar to partake in the delightfully cheesy revelations that await. Rest assured, this lighthearted odyssey of statistical exploration and dairy-infused crime analysis is bound to be a gouda time for all!


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 Cottage cheese consumption and Motor vehicle thefts in Ohio. 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 USDA and FBI Criminal Justice Information Services .

For the time period 1990 to 2021, you found a correlation 0.9365406, r-squared of 0.8771084, 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]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
When it comes to unexpected pairings, few things provoke disbelief as much as the unassuming cottage cheese and the mischievous world of motor vehicle thefts. One might imagine that cottage cheese, with its creamy texture and mild flavor, and car crimes, with their adrenaline-fueled escapades, would have as much in common as a chalk and cheese. However, as we dug deeper into the data, we were left utterly awestruck by the tantalizing correlation we unearthed between these two seemingly disparate realms.
The aim of this groundbreaking study is to unravel the enigmatic bond between cottage cheese consumption and motor vehicle thefts in the state of Ohio. For years, researchers and statisticians have delved into numerous variables in an attempt to comprehend the complexities of crime rates. Yet, our journey delves into uncharted territory, where we ventured to explore a connection that had been curdled in mystery until now.
As we embark on this statistical odyssey, we are compelled to approach it with a blend of scientific rigor and cheesy humor. Indeed, the pursuit of knowledge should not be devoid of amusement, and we fully intend to sprinkle this paper with a healthy dose of puns and quirky observations. After all, what's the point of statistical analysis if we can't savor the gouda moments that arise along the way?
At the heart of this investigation lies an insatiable curiosity to unravel the complexities of human behavior, permeated with the essence of cottage cheese. While some may consider this correlation to be a mere coincidence, we cannot help but brie-lieve that there may be deeper layers to this cheesy mystery. So, grab your lab coat and a wedge of cottage cheese, and let's embark on this whimsical journey of statistical exploration and crime-cracking comedy. It's bound to be a gouda time!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our study unveiled a remarkably high correlation between cottage cheese consumption and motor vehicle thefts in Ohio, leaving us feeling cheddarly surprised and curdled with excitement. With a correlation coefficient of 0.9365406, our findings indicate a strong positive association between these two seemingly unrelated variables. If this were a cheesy rom-com, it would be about the unlikely love affair between curds and crime.

To put it in statistical terms, our r-squared value of 0.8771084 tells us that a whopping 87.71% of the variation in motor vehicle thefts in Ohio can be explained by changes in cottage cheese consumption. It's as if every time someone reaches for a scoop of cottage cheese, a car thief gets their wings!

The p-value of less than 0.01 has left us feeling gratefully convinced of the statistical significance of this connection. This p-value is so low, it's practically underground, much like the stealthy activities of car thieves. It's safe to say that the relationship between cottage cheese and crime rates is not just a random fluke – it's as real as the holes in a block of Swiss cheese.

Our intriguing findings are eloquently depicted in the scatterplot (Fig. 1), which showcases the undeniable correlation between cottage cheese consumption and motor vehicle thefts. It's as if the points on the scatterplot are saying, "Look at us, whey're meant to be together!"

In summary, our results shed light on the unexpected affinity between cottage cheese consumption and motor vehicle thefts in Ohio, emphasizing the need to pepper statistical analysis with a hint of cheesy humor. This delightful absurdity of statistical relationships reminds us that, in the world of data, there's always room for a little extra gouda.


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 Cottage cheese consumption and Motor vehicle thefts in Ohio. 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]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

[[LITERATURE REVIEW]]
Understanding the unexpected correlation between cottage cheese consumption and motor vehicle thefts in Ohio has proven to be a perplexing yet amusing endeavor. While scholarly literature on this specific association is, unsurprisingly, limited, our investigation has drawn from a wide array of sources that stretch the boundaries of empirical investigation and humor in academic discourse.
Smith et al. (2005) laid the groundwork for unconventional dietary and criminal connections in their study "Food for Thought: Exploring Unorthodox Correlations." The authors find a surprising association between yogurt consumption and shoplifting instances, shedding light on the whimsical nature of gastronomic choices and their potential influence on deviant behavior. While not directly related to our specific inquiry, this work spurred our team to ponder the broader implications of dairy consumption on misdemeanor activities.
Doe (2010) expanded the comedic horizon with the publication "Cheese Crimes: A Study of Fromage-Induced Shenanigans," wherein the author comically explores anecdotal evidence of cheese's role in peculiar criminal incidents. Amidst the anecdotes of brie burglaries and camembert capers, Doe's work highlights the often-overlooked potential of dairy products to feature in slapstick crime narratives.
Jones and Smithson (2018) veered into the realm of behavioral economics with their research "The Cheddar Effect: Dairy and Decision-making." Their focus on the cognitive ramifications of dairy consumption serves as a tangential yet entertaining parallel to our own investigation, offering a more serious take on the potential impact of cheese-related variables on human actions.
Turning to more tangential fictional works, the novels "The Gouda Games" (Parody, 2016) and "Feta to Black" (Mystery, 2013) offer delightful, albeit whimsical, narratives that center around cheese-related crimes and capers. While these literary works do not offer empirical evidence, their humorous exploration of cheesy contexts and criminal antics have, without a doubt, enriched our research team's appetite for puns and playful ponderings.
On a cinematic note, "The Great Gouda Caper" and "Cheddar Chase Chronicles" stand as timeless classics within the niche subgenre of dairy-themed crime comedies. While their thematic focus is a considerable departure from empirical inquiry, these films have provided a lighthearted backdrop for our team's brainstorming sessions, reminding us that every good investigation is seasoned with a dash of wit and absurdity.
As we continue to unravel the curdled mystery of the cottage cheese-car crime enigma, our journey is underscored by the recognition that statistical analysis, no matter how rigorous, should embrace the delightful absurdity of life's quirks. Through this amalgamation of scholarly pursuits, fictional narratives, and cinematic frolics, our research team approaches the task at hand with a blend of scientific rigor and, of course, a generous sprinkle of cheesy humor.

[[RESULTS]]
The results of our study unveiled a remarkably high correlation between cottage cheese consumption and motor vehicle thefts in Ohio, leaving us feeling cheddarly surprised and curdled with excitement. With a correlation coefficient of 0.9365406, our findings indicate a strong positive association between these two seemingly unrelated variables. If this were a cheesy rom-com, it would be about the unlikely love affair between curds and crime.
To put it in statistical terms, our r-squared value of 0.8771084 tells us that a whopping 87.71% of the variation in motor vehicle thefts in Ohio can be explained by changes in cottage cheese consumption. It's as if every time someone reaches for a scoop of cottage cheese, a car thief gets their wings!
The p-value of less than 0.01 has left us feeling gratefully convinced of the statistical significance of this connection. This p-value is so low, it's practically underground, much like the stealthy activities of car thieves. It's safe to say that the relationship between cottage cheese and crime rates is not just a random fluke – it's as real as the holes in a block of Swiss cheese.
Our intriguing findings are eloquently depicted in the scatterplot (Fig. 1), which showcases the undeniable correlation between cottage cheese consumption and motor vehicle thefts. It's as if the points on the scatterplot are saying, "Look at us, whey're meant to be together!"
In summary, our results shed light on the unexpected affinity between cottage cheese consumption and motor vehicle thefts in Ohio, emphasizing the need to pepper statistical analysis with a hint of cheesy humor. This delightful absurdity of statistical relationships reminds us that, in the world of data, there's always room for a little extra gouda.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study has taken us on a whimsical journey through the world of quirky statistical relationships, culminating in the revelation of a remarkably strong positive association between cottage cheese consumption and motor vehicle thefts in the great state of Ohio. While initially met with skepticism and raised eyebrows worthy of a stand-up comedy routine, our findings are supported by a succinct trip down the rabbit hole of prior research.

The curious correlations unearthed by Smith et al. (2005) in their investigation of yogurt consumption and shoplifting instances deserve a moment of fondue-like appreciation. Although seemingly unrelated on the surface, their work laid the foundation for exploring the whimsical interplay between dietary choices and deviant behavior, paving the whey for our investigation into the cheese-crime continuum in Ohio.

Doe's (2010) whimsical exploration of fromage-induced shenanigans added an intriguing layer of cheddar-tinted ponderings to the academic discourse. From brie sheists to camembert capers, it becomes apparent that cheese's potential to feature in slapstick crime narratives has been gratefully acknowledged in the academic community and continues to be a treasured source of inspiration for our own work.

Additionally, Jones and Smithson's (2018) more serious take on the cognitive ramifications of dairy consumption in relation to decision-making brings a thoughtful contrast to the gouda-induced hilarity of our investigation. While their focus may be tangential, we can appreciate the parallel drawn with our own findings and commend their ability to unravel the complex cheesemonger of cognitive processes influenced by cheese-related variables.

From literature to cinema, our dive into the lighthearted exploration of cheesy contexts and criminal antics has truly enriched our understanding of the charmingly absurd nature of statistical inquiry. As we ponder the cottage cheese-car crime enigma, we recognize the importance of embracing the delightful absurdity of life's quirks, much like the timeless classics within the niche subgenre of dairy-themed crime comedies.

Our results have not only illuminated a surprising correlation but have also underscored the fundamental need to pepper statistical analysis with a hint of cheesy humor. As we consider the implications of our findings, it is evident that the realm of empirical investigation offers a rich tapestry of whimsical relationships waiting to be uncovered, delightfully seasoned with puns and playful ponderings.


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 Cottage cheese consumption and Motor vehicle thefts in Ohio. 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]]
"Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio"

[[ABSTRACT]]
This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

[[INTRDUCTION]]
When it comes to unexpected pairings, few things provoke disbelief as much as the unassuming cottage cheese and the mischievous world of motor vehicle thefts. One might imagine that cottage cheese, with its creamy texture and mild flavor, and car crimes, with their adrenaline-fueled escapades, would have as much in common as a chalk and cheese. However, as we dug deeper into the data, we were left utterly awestruck by the tantalizing correlation we unearthed between these two seemingly disparate realms.
The aim of this groundbreaking study is to unravel the enigmatic bond between cottage cheese consumption and motor vehicle thefts in the state of Ohio. For years, researchers and statisticians have delved into numerous variables in an attempt to comprehend the complexities of crime rates. Yet, our journey delves into uncharted territory, where we ventured to explore a connection that had been curdled in mystery until now.
As we embark on this statistical odyssey, we are compelled to approach it with a blend of scientific rigor and cheesy humor. Indeed, the pursuit of knowledge should not be devoid of amusement, and we fully intend to sprinkle this paper with a healthy dose of puns and quirky observations. After all, what's the point of statistical analysis if we can't savor the gouda moments that arise along the way?
At the heart of this investigation lies an insatiable curiosity to unravel the complexities of human behavior, permeated with the essence of cottage cheese. While some may consider this correlation to be a mere coincidence, we cannot help but brie-lieve that there may be deeper layers to this cheesy mystery. So, grab your lab coat and a wedge of cottage cheese, and let's embark on this whimsical journey of statistical exploration and crime-cracking comedy. It's bound to be a gouda time!

[[RESULTS]]
The results of our study unveiled a remarkably high correlation between cottage cheese consumption and motor vehicle thefts in Ohio, leaving us feeling cheddarly surprised and curdled with excitement. With a correlation coefficient of 0.9365406, our findings indicate a strong positive association between these two seemingly unrelated variables. If this were a cheesy rom-com, it would be about the unlikely love affair between curds and crime.
To put it in statistical terms, our r-squared value of 0.8771084 tells us that a whopping 87.71% of the variation in motor vehicle thefts in Ohio can be explained by changes in cottage cheese consumption. It's as if every time someone reaches for a scoop of cottage cheese, a car thief gets their wings!
The p-value of less than 0.01 has left us feeling gratefully convinced of the statistical significance of this connection. This p-value is so low, it's practically underground, much like the stealthy activities of car thieves. It's safe to say that the relationship between cottage cheese and crime rates is not just a random fluke – it's as real as the holes in a block of Swiss cheese.
Our intriguing findings are eloquently depicted in the scatterplot (Fig. 1), which showcases the undeniable correlation between cottage cheese consumption and motor vehicle thefts. It's as if the points on the scatterplot are saying, "Look at us, whey're meant to be together!"
In summary, our results shed light on the unexpected affinity between cottage cheese consumption and motor vehicle thefts in Ohio, emphasizing the need to pepper statistical analysis with a hint of cheesy humor. This delightful absurdity of statistical relationships reminds us that, in the world of data, there's always room for a little extra gouda.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has uncovered a titillating correlation between cottage cheese consumption and motor vehicle thefts in Ohio, adding a dash of intrigue to the typically mundane world of statistical analysis. This study not only highlights the power of unexpected relationships in the data but also adds a touch of whimsy to the starchy landscape of crime research. It's as if the cosmos conspired to churn out this curiously delightful connection, leading us to ponder the existential question - are car thieves simply misunderstood cheese enthusiasts?

The r-squared value of 0.8771084 gives us a quantifiable measure of just how gouda this correlation is, indicating that cottage cheese consumption remarkably explains 87.71% of the variation in motor vehicle thefts. It's rare to see such a strong statistical relationship come to the surface, reminiscent of a perfectly aged Gruyère. Meanwhile, the p-value lower than 0.01 further cements the validity of this connection, as robust and unequivocal as a slice of Parmesan.

As we reflect on our findings, one can't help but smirk at the thought of law enforcement organizing stakeouts in the dairy aisle or thieves swapping getaway cars for souped-up cheese wagons. Nevertheless, our results stand as a testament to the quirky surprises that statistical analysis can yield when approached with equal parts rigor and lightheartedness.

In light of these revelatory findings, we assert that further research into the relationship between cottage cheese consumption and motor vehicle thefts in Ohio may be as unnecessary as a cow's opinion. Our study's contribution to the literature has undoubtedly feta'd the field of crime research with a fresh perspective, churning up a deliciously unexpected pairing that may just leave future researchers feeling blue – cheese, that is. Let's say "cheese" and call it a Gouda day!


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 Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Culinary Conundrums


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 Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Dairy Criminology Research


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 Curious Correlation: Cottage Cheese Consumption and Car Crimes in Ohio with an abstract of This paper examines the peculiar relationship between cottage cheese consumption and motor vehicle thefts in the state of Ohio. Using data from the USDA and FBI Criminal Justice Information Services spanning over three decades, our research team uncovered a surprising link between these seemingly unrelated phenomena. Our analysis revealed a remarkably high correlation coefficient of 0.9365406, indicating a strong positive association. Moreover, the p-value of less than 0.01 further supports the statistical significance of this unexpected connection. The findings present a fascinating puzzle that challenges conventional wisdom and raises important questions about the potential impact of dairy products on criminal behavior. Through this lighthearted exploration, we invite readers to engage in a whimsical journey of discovery that blends quirky correlations with cheesy humor to reflect on the delightful absurdity of statistical analysis.

ChatGPT:

cottage cheese consumption, car crimes, Ohio, correlation, USDA data, FBI Criminal Justice Information Services, statistical significance, dairy products, criminal behavior, correlation coefficient, p-value, statistical analysis

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



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Data details

Cottage cheese consumption
Detailed data title: Per capita consumption of Cottage cheese in the US
Source: USDA
See what else correlates with Cottage cheese consumption

Motor vehicle thefts in Ohio
Detailed data title: The motor vehicle theft rate per 100,000 residents in Ohio
Source: FBI Criminal Justice Information Services
See what else correlates with Motor vehicle thefts in Ohio

Correlation r = 0.9365406 (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 = 0.8771084 (Coefficient of determination)
This means 87.7% of the change in the one variable (i.e., Motor vehicle thefts in Ohio) is predictable based on the change in the other (i.e., Cottage cheese consumption) over the 32 years from 1990 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.4E-15. 0.0000000000000033820988992700
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 0.94 in 3.4E-13% of random cases. Said differently, if you correlated 295,674,381,436,877 random variables You don't actually need 295 trillion 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 31 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 31 because we have two variables measured over a period of 32 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.

[ 0.87, 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.
19901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Cottage cheese consumption (Pounds per person)3.33.23.12.92.82.72.62.62.62.62.62.62.62.62.72.72.62.62.32.42.32.32.32.12.12.12.22.12.12.121.9
Motor vehicle thefts in Ohio (Motor Vehicle Theft rate)490.6500.4471435.3427.1414.9407.5406383.8348.2343.7370.8374.9358.6355361.5330.9296.1247.7196.3183.1181.3171168.7156.2149.9170177.6170.9159.9171.7183




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([3.3,3.2,3.1,2.9,2.8,2.7,2.6,2.6,2.6,2.6,2.6,2.6,2.6,2.6,2.7,2.7,2.6,2.6,2.3,2.4,2.3,2.3,2.3,2.1,2.1,2.1,2.2,2.1,2.1,2.1,2,1.9,])
array_2 = np.array([490.6,500.4,471,435.3,427.1,414.9,407.5,406,383.8,348.2,343.7,370.8,374.9,358.6,355,361.5,330.9,296.1,247.7,196.3,183.1,181.3,171,168.7,156.2,149.9,170,177.6,170.9,159.9,171.7,183,])
array_1_name = "Cottage cheese consumption"
array_2_name = "Motor vehicle thefts in Ohio"

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

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



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

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Correlation ID: 2439 · Black Variable ID: 556 · Red Variable ID: 20155
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