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Spurious correlation #3,898 · 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 Burglaries in Arizona.  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 people consumed less cottage cheese, they experienced a decrease in lactose intolerance, leading to improved sleep quality. This reduced the likelihood of sleepwalking, a common precursor to accidental burglary attempts in Arizona. It turns out, when it comes to preventing theft, the real secret is cutting the cheese!

Model: dalle-3
Prompt: Generate an idyllic scene of a bright and clean kitchen, with a peaceful and serene atmosphere. In the foreground, place a smooth and untouched bowl of cottage cheese on a wooden or marble table. Through a large, sunlit window, show a would-be burglar pausing outside the house, pondering their next move with a look of disappointment and longing. The contrast between the serene interior and the potential intruder's hesitant expression should be visually striking. 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 Burglaries in Arizona. 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: Cyber folk Cubism Data cyber art Hyper-realistic A Discovery magazine cover image
ChatGPT: A Discovery magazine cover image

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Cottage cheese consumption and Burglaries in Arizona, in the following situation: As Cottage cheese consumption decreased, so did the number of burglaries in Arizona, because burglars couldn't bear the thought of stealing from homes that lacked the creamy, dairy delight to snack on during their heists.. Keep the description simple.
ChatGPT: In a tranquil kitchen, a bowl of untouched cottage cheese sits on the table, while outside the window, a would-be burglar hesitates, deciding to move on to a different neighborhood with a sigh, unable to fathom breaking into a home that lacks the creamy, dairy delight they were craving.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ A Discovery magazine cover image ] and depicting this scene: In a tranquil kitchen, a bowl of untouched cottage cheese sits on the table, while outside the window, a would-be burglar hesitates, deciding to move on to a different neighborhood with a sigh, unable to fathom breaking into a home that lacks the creamy, dairy delight they were craving. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an idyllic scene of a bright and clean kitchen, with a peaceful and serene atmosphere. In the foreground, place a smooth and untouched bowl of cottage cheese on a wooden or marble table. Through a large, sunlit window, show a would-be burglar pausing outside the house, pondering their next move with a look of disappointment and longing. The contrast between the serene interior and the potential intruder's hesitant expression should be visually striking.

*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 Burglaries in Arizona to decrease. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

The Journal of Culinary Criminology

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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title seem clever.

Your research team used data from USDA and FBI Criminal Justice Information Services to assess this nagging question. You found a correlation coefficient of 0.9376321 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]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!


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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the age-old adage goes, "you are what you eat." But who would have thought that this could extend to one's criminal inclinations? A cheesy question indeed, but one that has piqued our interest and led us down the rabbit hole of dairy consumption and its potential impact on crime. Say cheese, because we are about to embark on a journey through statistical analysis and criminological scrutiny that will challenge the conventional wisdom surrounding food and felonies.

The intersection of food consumption and criminal behavior has never been more gouda-ly intriguing. We often hear about the correlation between poverty and crime, or even the influence of environmental factors on unlawful activities, but the potential role of cottage cheese in all of this may seem as unlikely as finding a needle in a haystack made of mozzarella.

Dad Joke Insert: I told my wife she should embrace her mistakes, but she said it would be too cheesy.

Drawing on the comprehensive data provided by the USDA and the FBI Criminal Justice Information Services, our study seeks to unmask the enigmatic relationship between the consumption of cottage cheese and the incidence of burglaries in the picturesque state of Arizona. Our approach is not just about finding the provolone link between these seemingly unrelated variables, but also about embracing the potential for some "dairy" good insights into human behavior – no, we're not "cottage-ing" around with these puns.

It is essential to acknowledge that any correlation uncovered between cottage cheese consumption and burglary rates could be met with skepticism sharper than the cheddar grater. With the infamous mantra of "correlation does not imply causation" echoing in the hallowed halls of statistical analysis, our research has been as cautious as a mouse in a cheese factory when interpreting the findings.

Dad Joke Insert: I asked the cheese shop owner what the most terrifying kind of cheese is, and he said, 'Boo-curds!"


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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a few real TV shows that sound like they might be relevant to the topic that you watched as research.

Here is the title and abstract of the paper:
[[TITLE]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the age-old adage goes, "you are what you eat." But who would have thought that this could extend to one's criminal inclinations? A cheesy question indeed, but one that has piqued our interest and led us down the rabbit hole of dairy consumption and its potential impact on crime. Say cheese, because we are about to embark on a journey through statistical analysis and criminological scrutiny that will challenge the conventional wisdom surrounding food and felonies.
The intersection of food consumption and criminal behavior has never been more gouda-ly intriguing. We often hear about the correlation between poverty and crime, or even the influence of environmental factors on unlawful activities, but the potential role of cottage cheese in all of this may seem as unlikely as finding a needle in a haystack made of mozzarella.
Dad Joke Insert: I told my wife she should embrace her mistakes, but she said it would be too cheesy.
Drawing on the comprehensive data provided by the USDA and the FBI Criminal Justice Information Services, our study seeks to unmask the enigmatic relationship between the consumption of cottage cheese and the incidence of burglaries in the picturesque state of Arizona. Our approach is not just about finding the provolone link between these seemingly unrelated variables, but also about embracing the potential for some "dairy" good insights into human behavior – no, we're not "cottage-ing" around with these puns.
It is essential to acknowledge that any correlation uncovered between cottage cheese consumption and burglary rates could be met with skepticism sharper than the cheddar grater. With the infamous mantra of "correlation does not imply causation" echoing in the hallowed halls of statistical analysis, our research has been as cautious as a mouse in a cheese factory when interpreting the findings.
Dad Joke Insert: I asked the cheese shop owner what the most terrifying kind of cheese is, and he said, 'Boo-curds!"

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The exploration of the potential association between cottage cheese consumption and burglaries in Arizona is undoubtedly a provocative and, some might say, a "cheesy" research endeavor. The investigation into dietary patterns and their correlation with criminal activities is a topic that has seldom been broached in empirical studies. Nonetheless, our foray into this uncharted territory has been accompanied by a thorough review of the existing literature.

Smith (2005) examines the relationship between dairy consumption and behavioral patterns, shedding light on the potential impact of cheese intake on decision-making processes. Doe and Jones (2010) expound upon the socioeconomic factors influencing dietary choices and the subsequent effects on criminal tendencies. While these studies provide valuable insights into the broader connection between food consumption and behavior, they do not specifically delve into the peculiar case of cottage cheese consumption and burglary rates.

In "The Big Cheese: A Culinary History of Cheese," the authors recount the historical significance of cheese consumption and its societal implications, albeit without explicitly addressing criminal behavior. On a slightly more whimsical note, "Fromage of Fear: A Psychological Exploration of Cheese Phobias" presents an unusual yet tangentially relevant perspective on the psychological ramifications of cheese-related fears, albeit not directly linked to criminal activities.

On the fictional front, works such as "The Cheese Thief Chronicles" and "The Gouda Heist: A Tale of Dairy Larceny" may titillate the imagination with their crime-laden narratives involving dairy products. While these literary creations are far removed from empirical research, their imaginative portrayal of cheese-centric felonies beckons to the playful side of our scholarly pursuits.

In the realm of television, a thorough investigation into pop culture reveals the existence of shows such as "Cheese Capers" and "The Art of Brie: Criminal Minds," both of which are as entertaining as they are arguably relevant to our scholarly contemplations. While these TV shows offer an alternative lens through which to view the interplay between cheese and crime, their direct applicability to our research topic may be tenuous at best.

Dad Joke Insert: What did the cheese say to itself in the mirror? Halloumi!


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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

[[INTRODUCTION]]
As the age-old adage goes, "you are what you eat." But who would have thought that this could extend to one's criminal inclinations? A cheesy question indeed, but one that has piqued our interest and led us down the rabbit hole of dairy consumption and its potential impact on crime. Say cheese, because we are about to embark on a journey through statistical analysis and criminological scrutiny that will challenge the conventional wisdom surrounding food and felonies.
The intersection of food consumption and criminal behavior has never been more gouda-ly intriguing. We often hear about the correlation between poverty and crime, or even the influence of environmental factors on unlawful activities, but the potential role of cottage cheese in all of this may seem as unlikely as finding a needle in a haystack made of mozzarella.
Dad Joke Insert: I told my wife she should embrace her mistakes, but she said it would be too cheesy.
Drawing on the comprehensive data provided by the USDA and the FBI Criminal Justice Information Services, our study seeks to unmask the enigmatic relationship between the consumption of cottage cheese and the incidence of burglaries in the picturesque state of Arizona. Our approach is not just about finding the provolone link between these seemingly unrelated variables, but also about embracing the potential for some "dairy" good insights into human behavior – no, we're not "cottage-ing" around with these puns.
It is essential to acknowledge that any correlation uncovered between cottage cheese consumption and burglary rates could be met with skepticism sharper than the cheddar grater. With the infamous mantra of "correlation does not imply causation" echoing in the hallowed halls of statistical analysis, our research has been as cautious as a mouse in a cheese factory when interpreting the findings.
Dad Joke Insert: I asked the cheese shop owner what the most terrifying kind of cheese is, and he said, 'Boo-curds!"

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the complex interplay between cottage cheese consumption and burglary rates in Arizona, our research team undertook a methodologically intricate yet udderly fascinating approach. We milked the available data from the USDA and FBI Criminal Justice Information Services, focusing on the years 1990 to 2021, in an effort to cream the most comprehensive dataset for our analysis.

First and foremost, our team engaged in a rigorous process of data collection, sifting through a mountain of information like a dairy farmer hunting for the choicest cream. We were as meticulous as a mouse picking out the best cheese crumbs, ensuring that the integrity and veracity of the data were topnotch – not a single curd left unturned.

The next step involved the careful designation of variables. We treated cottage cheese consumption as the independent variable – the cheesemaker, if you will – and burglary rates as the dependent variable, the culprit with a penchant for breaking and entering. These variables were then subjected to intense scrutiny, comparable to the pendulum of a grandfather clock tick-tocking towards correlation.

Now, the statistical analysis was no walk in the park – more like a brisk jog encumbered by a wheel of cheese. We utilized advanced regression models to curdle the data, examining the strength and direction of the relationship between cottage cheese consumption and burglary rates. The results were as clear as a glass of milk: there was a significant association, leaving us whey more excited than a lactose-intolerant individual stumbling upon a vegan cheese shop.

As we ventured deeper into the statistical maze, we employed robust techniques to control for potential confounding variables, treating them like unexpected toppings on a pizza – intriguing but potentially skewing the overall flavor profile. The multivariate analysis was as complex as understanding the nuanced differences between gouda and havarti; however, our research team persisted with the tenacity of a mouse with a craving for aged cheddar.

Furthermore, to ensure the comprehensiveness and transferability of our findings, we conducted sensitivity analyses, akin to double-checking the expiration date on a carton of milk to guarantee its freshness. This process entailed examining different sub-samples and time periods to confirm the stability and robustness of the observed correlation.

In closing, it is important to emphasize that our research approach was as meticulous and precise as a Swiss master cheesemaker perfecting a batch of emmental. We leave no cheese ungrated in our pursuit of scientific excellence and believe that our methodology stands as a testament to the investigative spirit of dairy enthusiasts and research aficionados alike.

Dad Joke Insert: Why did the cheese refuse to melt in the pan? It had too much "grate" to get involved in a skillet-y situation!


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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 0.9376321, r-squared of 0.8791540, 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]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the age-old adage goes, "you are what you eat." But who would have thought that this could extend to one's criminal inclinations? A cheesy question indeed, but one that has piqued our interest and led us down the rabbit hole of dairy consumption and its potential impact on crime. Say cheese, because we are about to embark on a journey through statistical analysis and criminological scrutiny that will challenge the conventional wisdom surrounding food and felonies.
The intersection of food consumption and criminal behavior has never been more gouda-ly intriguing. We often hear about the correlation between poverty and crime, or even the influence of environmental factors on unlawful activities, but the potential role of cottage cheese in all of this may seem as unlikely as finding a needle in a haystack made of mozzarella.
Dad Joke Insert: I told my wife she should embrace her mistakes, but she said it would be too cheesy.
Drawing on the comprehensive data provided by the USDA and the FBI Criminal Justice Information Services, our study seeks to unmask the enigmatic relationship between the consumption of cottage cheese and the incidence of burglaries in the picturesque state of Arizona. Our approach is not just about finding the provolone link between these seemingly unrelated variables, but also about embracing the potential for some "dairy" good insights into human behavior – no, we're not "cottage-ing" around with these puns.
It is essential to acknowledge that any correlation uncovered between cottage cheese consumption and burglary rates could be met with skepticism sharper than the cheddar grater. With the infamous mantra of "correlation does not imply causation" echoing in the hallowed halls of statistical analysis, our research has been as cautious as a mouse in a cheese factory when interpreting the findings.
Dad Joke Insert: I asked the cheese shop owner what the most terrifying kind of cheese is, and he said, 'Boo-curds!"

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our research revealed a remarkably high correlation coefficient of 0.9376321 between cottage cheese consumption and burglary rates in Arizona over the years 1990 to 2021. This strong correlation was further supported by an r-squared value of 0.8791540, indicating that approximately 87.9% of the variation in burglary rates can be explained by changes in cottage cheese consumption. When the p-value came back as less than 0.01, we knew we were not just grappling with a "cheesy" coincidence.

Our findings suggest that as the consumption of cottage cheese increased, so did the number of reported burglaries in Arizona. It's a curious case of "curd" and crime that defies conventional wisdom and leaves us pondering the unsolved mystery of the dairy-crime connection. Perhaps there's more to the term "cheese grater" than we previously thought.

Dad Joke Insert: I can't believe I got sacked from the cheese factory. All I did was cut the cheese!

Figure 1 (not shown) visually represents the compelling association between cottage cheese consumption and burglary rates, with the scatterplot illustrating a clear positive trend. It's as if the burglars couldn't resist the allure of cottage cheese, or perhaps the cottage cheese consumption was so high that it led to some "grate" ideas for criminal activity.

This unexpected correlation forces us to reconsider the potential influence of dairy products on criminal behavior. It raises new questions about the role of nutrition in shaping societal dynamics and leaves us feeling both delighted and "dairy" perplexed at the same time.

In the grand tradition of scientific inquiry, our results open the door to further exploration and deliberation. The relationship between cottage cheese consumption and criminal activities in Arizona defies easy explanation, compelling us to seek out the "whey" of these patterns and ponder if there's truly a "curdle" connection at play.

Dad Joke Insert: What did the cheese say when it looked in the mirror? Halloumi!

Our research underscores the need for a "grater" understanding of the potential impact of dietary choices on societal phenomena. The unexpected discovery of a robust correlation between cottage cheese consumption and burglaries in Arizona challenges preconceived notions and beckons us to appreciate that in the realm of statistics, the truth can sometimes be stranger than fiction.


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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

[[LITERATURE REVIEW]]
The exploration of the potential association between cottage cheese consumption and burglaries in Arizona is undoubtedly a provocative and, some might say, a "cheesy" research endeavor. The investigation into dietary patterns and their correlation with criminal activities is a topic that has seldom been broached in empirical studies. Nonetheless, our foray into this uncharted territory has been accompanied by a thorough review of the existing literature.
Smith (2005) examines the relationship between dairy consumption and behavioral patterns, shedding light on the potential impact of cheese intake on decision-making processes. Doe and Jones (2010) expound upon the socioeconomic factors influencing dietary choices and the subsequent effects on criminal tendencies. While these studies provide valuable insights into the broader connection between food consumption and behavior, they do not specifically delve into the peculiar case of cottage cheese consumption and burglary rates.
In "The Big Cheese: A Culinary History of Cheese," the authors recount the historical significance of cheese consumption and its societal implications, albeit without explicitly addressing criminal behavior. On a slightly more whimsical note, "Fromage of Fear: A Psychological Exploration of Cheese Phobias" presents an unusual yet tangentially relevant perspective on the psychological ramifications of cheese-related fears, albeit not directly linked to criminal activities.
On the fictional front, works such as "The Cheese Thief Chronicles" and "The Gouda Heist: A Tale of Dairy Larceny" may titillate the imagination with their crime-laden narratives involving dairy products. While these literary creations are far removed from empirical research, their imaginative portrayal of cheese-centric felonies beckons to the playful side of our scholarly pursuits.
In the realm of television, a thorough investigation into pop culture reveals the existence of shows such as "Cheese Capers" and "The Art of Brie: Criminal Minds," both of which are as entertaining as they are arguably relevant to our scholarly contemplations. While these TV shows offer an alternative lens through which to view the interplay between cheese and crime, their direct applicability to our research topic may be tenuous at best.
Dad Joke Insert: What did the cheese say to itself in the mirror? Halloumi!

[[RESULTS]]
The results of our research revealed a remarkably high correlation coefficient of 0.9376321 between cottage cheese consumption and burglary rates in Arizona over the years 1990 to 2021. This strong correlation was further supported by an r-squared value of 0.8791540, indicating that approximately 87.9% of the variation in burglary rates can be explained by changes in cottage cheese consumption. When the p-value came back as less than 0.01, we knew we were not just grappling with a "cheesy" coincidence.
Our findings suggest that as the consumption of cottage cheese increased, so did the number of reported burglaries in Arizona. It's a curious case of "curd" and crime that defies conventional wisdom and leaves us pondering the unsolved mystery of the dairy-crime connection. Perhaps there's more to the term "cheese grater" than we previously thought.
Dad Joke Insert: I can't believe I got sacked from the cheese factory. All I did was cut the cheese!
Figure 1 (not shown) visually represents the compelling association between cottage cheese consumption and burglary rates, with the scatterplot illustrating a clear positive trend. It's as if the burglars couldn't resist the allure of cottage cheese, or perhaps the cottage cheese consumption was so high that it led to some "grate" ideas for criminal activity.
This unexpected correlation forces us to reconsider the potential influence of dairy products on criminal behavior. It raises new questions about the role of nutrition in shaping societal dynamics and leaves us feeling both delighted and "dairy" perplexed at the same time.
In the grand tradition of scientific inquiry, our results open the door to further exploration and deliberation. The relationship between cottage cheese consumption and criminal activities in Arizona defies easy explanation, compelling us to seek out the "whey" of these patterns and ponder if there's truly a "curdle" connection at play.
Dad Joke Insert: What did the cheese say when it looked in the mirror? Halloumi!
Our research underscores the need for a "grater" understanding of the potential impact of dietary choices on societal phenomena. The unexpected discovery of a robust correlation between cottage cheese consumption and burglaries in Arizona challenges preconceived notions and beckons us to appreciate that in the realm of statistics, the truth can sometimes be stranger than fiction.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our investigation into the association between cottage cheese consumption and burglary rates in Arizona yield a veritable "gouda" of insights. Our findings not only align with previous studies but also serve as a testament to the potential influence of dairy intake on criminal activities. The strong correlation coefficient of 0.9376321 and the corresponding low p-value provide compelling evidence of a significant relationship between these seemingly unrelated variables, reaffirming that this isn't just a "whey-zard" hypothesis.

Building upon the peculiar findings in our literature review, it's clear that the impact of cheese consumption on behavioral patterns extends beyond mere speculation. Smith's (2005) exploration of dairy consumption and decision-making is reinforced by our discovery, illustrating that the effects of cheese intake may permeate into criminal propensities more than initially presumed. Moreover, the whimsical "Cheese Thief Chronicles" and "The Gouda Heist: A Tale of Dairy Larceny" may not be as far-fetched as they seem, as our results echo the intriguing interplay between cheese and crime, leaving us to muse on whether a "cheddar" of truth lies within their narratives.

The statistically significant association between cottage cheese consumption and burglaries in Arizona challenges conventional assumptions, inviting us to "brie-fsly" consider the potential mechanisms underlying this unexpected correlation. The strong r-squared value of 0.8791540 further underscores the substantial portion of variation in burglary rates explained by changes in cottage cheese consumption, offering a compelling case for the influence of this dairy product on criminal tendencies. It's as if the burglars were enticed by the proverbial "mouse trap" of cottage cheese, initiating a cascade of criminal intrigues.

In continuation of our exploration, the scatterplot visually depicts the positive trend between cottage cheese consumption and burglary rates, painting a picture of escalating crime as cheese consumption increases. It's almost as if the burglars were aspiring to a life of "cheddar" and leisure, swayed by the temptations of this dairy delight. This unexpected revelation serves as a reminder that in the realm of statistical analysis, even the most unconventional pairings can yield actionable insights, albeit with a generous sprinkling of "punny" mischief.

Our investigation, while lighthearted in its thematic premise, evidences the broader implications of dietary choices on societal dynamics. As scholars, we are reminded that the "whey" of statistical inquiry often leads us to unexpected destinations, compelling us to "feta" our understanding of interrelationships between variables while acknowledging the potential for "curdled" insights to emerge. In the spirit of scientific curiosity, our research uncovers a "grater" truth—that cheese, particularly cottage cheese, may hold uncharted influence over criminal behaviors in Arizona, opening the door to a new era of "dairy" investigation.

The unexpected correlation between cottage cheese consumption and burglaries in Arizona not only challenges prevailing paradigms but also embraces the idiosyncratic nature of statistical phenomena. With this "cheesy" conundrum at the forefront of culinary-crime relations, we are left with a "muenster" of questions to ponder, humorously reminding us that in the enigmatic world of research, the "whey" of statistical discoveries can often be as amusing as they are enlightening.


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 Burglaries in Arizona. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona

[[ABSTRACT]]
While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.

Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.

Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

[[INTRDUCTION]]
As the age-old adage goes, "you are what you eat." But who would have thought that this could extend to one's criminal inclinations? A cheesy question indeed, but one that has piqued our interest and led us down the rabbit hole of dairy consumption and its potential impact on crime. Say cheese, because we are about to embark on a journey through statistical analysis and criminological scrutiny that will challenge the conventional wisdom surrounding food and felonies.
The intersection of food consumption and criminal behavior has never been more gouda-ly intriguing. We often hear about the correlation between poverty and crime, or even the influence of environmental factors on unlawful activities, but the potential role of cottage cheese in all of this may seem as unlikely as finding a needle in a haystack made of mozzarella.
Dad Joke Insert: I told my wife she should embrace her mistakes, but she said it would be too cheesy.
Drawing on the comprehensive data provided by the USDA and the FBI Criminal Justice Information Services, our study seeks to unmask the enigmatic relationship between the consumption of cottage cheese and the incidence of burglaries in the picturesque state of Arizona. Our approach is not just about finding the provolone link between these seemingly unrelated variables, but also about embracing the potential for some "dairy" good insights into human behavior – no, we're not "cottage-ing" around with these puns.
It is essential to acknowledge that any correlation uncovered between cottage cheese consumption and burglary rates could be met with skepticism sharper than the cheddar grater. With the infamous mantra of "correlation does not imply causation" echoing in the hallowed halls of statistical analysis, our research has been as cautious as a mouse in a cheese factory when interpreting the findings.
Dad Joke Insert: I asked the cheese shop owner what the most terrifying kind of cheese is, and he said, 'Boo-curds!"

[[RESULTS]]
The results of our research revealed a remarkably high correlation coefficient of 0.9376321 between cottage cheese consumption and burglary rates in Arizona over the years 1990 to 2021. This strong correlation was further supported by an r-squared value of 0.8791540, indicating that approximately 87.9% of the variation in burglary rates can be explained by changes in cottage cheese consumption. When the p-value came back as less than 0.01, we knew we were not just grappling with a "cheesy" coincidence.
Our findings suggest that as the consumption of cottage cheese increased, so did the number of reported burglaries in Arizona. It's a curious case of "curd" and crime that defies conventional wisdom and leaves us pondering the unsolved mystery of the dairy-crime connection. Perhaps there's more to the term "cheese grater" than we previously thought.
Dad Joke Insert: I can't believe I got sacked from the cheese factory. All I did was cut the cheese!
Figure 1 (not shown) visually represents the compelling association between cottage cheese consumption and burglary rates, with the scatterplot illustrating a clear positive trend. It's as if the burglars couldn't resist the allure of cottage cheese, or perhaps the cottage cheese consumption was so high that it led to some "grate" ideas for criminal activity.
This unexpected correlation forces us to reconsider the potential influence of dairy products on criminal behavior. It raises new questions about the role of nutrition in shaping societal dynamics and leaves us feeling both delighted and "dairy" perplexed at the same time.
In the grand tradition of scientific inquiry, our results open the door to further exploration and deliberation. The relationship between cottage cheese consumption and criminal activities in Arizona defies easy explanation, compelling us to seek out the "whey" of these patterns and ponder if there's truly a "curdle" connection at play.
Dad Joke Insert: What did the cheese say when it looked in the mirror? Halloumi!
Our research underscores the need for a "grater" understanding of the potential impact of dietary choices on societal phenomena. The unexpected discovery of a robust correlation between cottage cheese consumption and burglaries in Arizona challenges preconceived notions and beckons us to appreciate that in the realm of statistics, the truth can sometimes be stranger than fiction.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our empirical investigation into the relationship between cottage cheese consumption and burglaries in Arizona has left us feeling as though we've been served a slice of humble pie, or should we say, a wedge of cottage cheese. The compelling correlation coefficient of 0.9376321 and an r-squared value of 0.8791540 have certainly given us food for thought, and perhaps a craving for some cheesy crime novels.

Our findings reveal that as the consumption of cottage cheese increased, so did the incidence of burglaries in Arizona, leaving us to contemplate whether the burglars were in pursuit of a calcium-rich snack or simply driven by a peculiar fondness for dairy. It seems that when it comes to criminal behavior, the phrase "grate expectations" takes on an entirely unexpected meaning.

As we reflect on the unexpected correlation between cottage cheese consumption and burglary rates, it's clear that this research has not just raised eyebrows but also instigated a fondue of inquiries into the potential influence of dairy products on societal dynamics. The enigmatic interplay of nutrition and criminal activities appears to be a topic as rich and complex as a triple-cream brie.

Dad Joke Insert: I told my friends I only eat cheese on days that end in 'y,' and they said I was being cheesy every day!

In the grand tradition of scientific inquiry, our results suggest that the "whey" forward may involve further exploration of the intricate relationship between dietary choices and criminal behavior. But for now, it seems that our investigation has already churned out insights worthy of some notable "curdles" in the annals of criminology.

Therefore, we assert that no further research on the connection between cottage cheese consumption and burglaries in Arizona is needed at this time. It's time to "brie" happy with the knowledge we've gained and perhaps indulge in a cheesy celebration or two.

Dad Joke Insert: When should you go on a cheese diet? If you need to cheddar a few pounds!


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 Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Culinary Criminology


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 Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona. Respond only with the name of a fictional organization.

ChatGPT:

Institute for Dairy Delights Research Association


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 Say Cheese, Say Please: Exploring the Whey of Cottage Cheese Consumption and Burglaries in Arizona with an abstract of While the link between dietary habits and criminal behavior may seem like a curdled idea, our research delves into the potential correlation between the consumption of cottage cheese and the occurrence of burglaries in the state of Arizona. Using extensive data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, we sought to unravel this enigmatic cheese-crime connection and whey the evidence stacks up.
Our analysis revealed a striking correlation coefficient of 0.9376321 and a p-value less than 0.01, suggesting a strong relationship between cottage cheese consumption and burglary rates. The findings leave us gratefully enlightened, but also bewildered, as the association between dairy intake and criminal activity may seem as holey as swiss cheese.
Dad Joke Insert: Did you hear about the cheese factory explosion in France? There was nothing left but de Brie!

ChatGPT:

cottage cheese consumption, burglaries in Arizona, dietary habits and criminal behavior, USDA data, FBI Criminal Justice Information Services, correlation coefficient, p-value, cheese consumption and burglary rates

*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

Burglaries in Arizona
Detailed data title: The burglary rate per 100,000 residents in Arizona
Source: FBI Criminal Justice Information Services
See what else correlates with Burglaries in Arizona

Correlation r = 0.9376321 (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 = 0.8791540 (Coefficient of determination)
This means 87.9% of the change in the one variable (i.e., Burglaries in Arizona) 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 2.6E-15. 0.0000000000000026264417647791
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 2.6E-13% of random cases. Said differently, if you correlated 380,743,260,105,790 random variables You don't actually need 380 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.

[ 0.88, 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
Burglaries in Arizona (Burglary rate)1669.91607.51411.71465.51476.21416.81256.31318.91209.51034.31011.610331085.91050.6991946.2963.6946.4901.6823.4794.2845.7807.7727.8645.2557.5553.2535.1444.1400330285.2




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




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([1669.9,1607.5,1411.7,1465.5,1476.2,1416.8,1256.3,1318.9,1209.5,1034.3,1011.6,1033,1085.9,1050.6,991,946.2,963.6,946.4,901.6,823.4,794.2,845.7,807.7,727.8,645.2,557.5,553.2,535.1,444.1,400,330,285.2,])
array_1_name = "Cottage cheese consumption"
array_2_name = "Burglaries in Arizona"

# 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: 3898 · Black Variable ID: 556 · Red Variable ID: 20106
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