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Spurious correlation #1,299 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is American cheese consumption and the second variable is Total number of automotive recalls.  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 American cheese consumption increased, so did the demand for cheeseburgers. This led to a spike in fast food sales, prompting more people to hit the drive-thrus. With a higher number of cars on the road, the likelihood of automotive issues also revved up. It's a gouda example of how dairy cravings can wheely impact the automotive industry.

Model: dalle-3
Prompt: Generate an image that encapsulates the following scene: In a bustling American city, a black-and-white newspaper illustration shows a busy street filled with cars lined up at a stop sign. On the sidewalk, a cheese shop with a bright sign reading "Cheese Galore" attracts a large crowd of people. A car is pulled over with a mechanic scratching their head, and next to it, a wheel is mysteriously covered in cheese. Nearby, a piece of cheese is stuck in the car's engine. The cars show signs of various malfunctions, such as cheesy residue leaking from the tailpipes and cheese slices stuck in the door handles. A news reporter is on the scene, holding a microphone and interviewing a cheese enthusiast munching on a large block of cheddar, while cars in the background display warning lights related to engine and brake issues. The entire scene is depicted in a classic black-and-white newspaper illustration style. 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 situation described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here is a situation: "Cheesy Crisis: Surge in American Cheese Consumption Blamed for Spike in Automotive Recalls. Experts Suspect That As Americans Gobbled Up More Cheese, Their Cars Started to 'Brie'kdown. Gouda Tell You, It's a 'Muenster' of a Problem That's Causing 'Havarti'culation Among Automakers!". Given that situation, which of the following image descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand and the tone of the explanation. Please respond with only one of the following potential descriptions: A black-and-white newspaper illustration Photorealism Scalar art A black-and-white newspaper illustration Cute cartoon
ChatGPT: A black-and-white newspaper illustration

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated and the explanation described. Do not reference graphs or charts; describe physical objects.
User prompt: Please describe a visual scene that depicts the following situation. Keep the description simple. "Cheesy Crisis: Surge in American Cheese Consumption Blamed for Spike in Automotive Recalls. Experts Suspect That As Americans Gobbled Up More Cheese, Their Cars Started to 'Brie'kdown. Gouda Tell You, It's a 'Muenster' of a Problem That's Causing 'Havarti'culation Among Automakers!"
ChatGPT: In a bustling American city, we see a street filled with cars lined up at a stop sign. On the sidewalk, a cheese shop with a bright sign reading "Cheese Galore" attracts a large crowd of people. The scene depicts a car pulled over with a mechanic scratching their head, and next to it, a wheel covered in cheese. Nearby, a piece of cheese is stuck in the car's engine. The cars around show signs of various malfunctions, such as cheesy residue leaking from the tailpipes and cheese slices stuck in the door handles. A news reporter is on the scene, holding a microphone and interviewing a cheese enthusiast munching on a large block of cheddar, while cars in the background display warning lights related to engine and brake issues.

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 black-and-white newspaper illustration ] and depicting this scene: In a bustling American city, we see a street filled with cars lined up at a stop sign. On the sidewalk, a cheese shop with a bright sign reading "Cheese Galore" attracts a large crowd of people. The scene depicts a car pulled over with a mechanic scratching their head, and next to it, a wheel covered in cheese. Nearby, a piece of cheese is stuck in the car's engine. The cars around show signs of various malfunctions, such as cheesy residue leaking from the tailpipes and cheese slices stuck in the door handles. A news reporter is on the scene, holding a microphone and interviewing a cheese enthusiast munching on a large block of cheddar, while cars in the background display warning lights related to engine and brake issues. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image that encapsulates the following scene: In a bustling American city, a black-and-white newspaper illustration shows a busy street filled with cars lined up at a stop sign. On the sidewalk, a cheese shop with a bright sign reading "Cheese Galore" attracts a large crowd of people. A car is pulled over with a mechanic scratching their head, and next to it, a wheel is mysteriously covered in cheese. Nearby, a piece of cheese is stuck in the car's engine. The cars show signs of various malfunctions, such as cheesy residue leaking from the tailpipes and cheese slices stuck in the door handles. A news reporter is on the scene, holding a microphone and interviewing a cheese enthusiast munching on a large block of cheddar, while cars in the background display warning lights related to engine and brake issues. The entire scene is depicted in a classic black-and-white newspaper illustration style.

*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in American cheese consumption caused Total number of automotive recalls to increase.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)
Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters

The Journal of Dairy-Infused Mishaps

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 goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. Make lots of jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from USDA and US DOT to assess this nagging question. You found a correlation coefficient of 0.9339061 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]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. Make lots of jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The world of academic research is often as serious as a heart attack, but here at the Institute of Cheesy Research, we like to inject a little cheddar into our studies. In this paper, we embark on a rather "gouda" adventure to explore the correlation (or is it "curd"-relation?) between American cheese consumption and the total number of automotive recalls in the United States. While some might think this topic is just "brie"-ing for trouble, we are "whey" too excited to dive into the potential connection between these seemingly unrelated phenomena.

Every year, American consumers gobble down an "un-brie-lievable" amount of American cheese, while the automotive industry grapples with an "edam-n" amount of vehicle recalls. Could it be that the cheese-loving populace is indirectly causing automotive mishaps? Or maybe it's just a "feta" complete coincidence? We set out to answer these "queso"-tions and discover if there's more to this cheesy conundrum than meets the eye.

As we delve into the "daunting" world of cheese and car recalls, we must acknowledge the "cheese-ingly" complex nature of the relationship we are about to explore. The "whey" in which American cheese is consumed, the "curdious" types of vehicles being recalled, and the potential impact of lactose-intolerant drivers all add layers of complexity to our investigation. However, armed with an "amped-up" statistical toolkit, we are ready to "brie"-ze through the data to unravel any "swiss"-picious associations.

Our research "provolone" the premise that cheese consumption couldn't possibly be related to automotive recalls, but as we delved deeper, we realized that the correlation might be stronger than we initially "cheddar-ed." So grab some crackers, "grate" some fresh Parmesan, and join us on this cheesy ride as we explore the "wheely" unexpected link between American cheese and automotive recalls. Get ready for a "gouda"-ful journey that's sure to "bleu" your mind!


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. 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]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The world of academic research is often as serious as a heart attack, but here at the Institute of Cheesy Research, we like to inject a little cheddar into our studies. In this paper, we embark on a rather "gouda" adventure to explore the correlation (or is it "curd"-relation?) between American cheese consumption and the total number of automotive recalls in the United States. While some might think this topic is just "brie"-ing for trouble, we are "whey" too excited to dive into the potential connection between these seemingly unrelated phenomena.
Every year, American consumers gobble down an "un-brie-lievable" amount of American cheese, while the automotive industry grapples with an "edam-n" amount of vehicle recalls. Could it be that the cheese-loving populace is indirectly causing automotive mishaps? Or maybe it's just a "feta" complete coincidence? We set out to answer these "queso"-tions and discover if there's more to this cheesy conundrum than meets the eye.
As we delve into the "daunting" world of cheese and car recalls, we must acknowledge the "cheese-ingly" complex nature of the relationship we are about to explore. The "whey" in which American cheese is consumed, the "curdious" types of vehicles being recalled, and the potential impact of lactose-intolerant drivers all add layers of complexity to our investigation. However, armed with an "amped-up" statistical toolkit, we are ready to "brie"-ze through the data to unravel any "swiss"-picious associations.
Our research "provolone" the premise that cheese consumption couldn't possibly be related to automotive recalls, but as we delved deeper, we realized that the correlation might be stronger than we initially "cheddar-ed." So grab some crackers, "grate" some fresh Parmesan, and join us on this cheesy ride as we explore the "wheely" unexpected link between American cheese and automotive recalls. Get ready for a "gouda"-ful journey that's sure to "bleu" your mind!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The topic of cheese consumption and its potential impact on automotive recalls is as unique as it is "grate." While the connection may seem as far-fetched as a lactose-intolerant mouse in a cheese factory, our research has unearthed a surprising body of literature that sheds light on this "cheddarly" relationship.

Smith and Doe (2010) delve into the cultural and sociological aspects of American cheese consumption in their work "Cheese: A Cultural History." While their focus is primarily on the societal significance of cheese, their findings inadvertently raise questions about the potential influence of cheese on consumer behavior, including in the automotive sector.

Jones (2015) takes a more statistical approach in the study "The Cheesy Effect: An Examination of Dairy Consumption and Lifestyle Choices." While Jones primarily examines the correlation between dairy consumption and health behaviors, their analysis of broader lifestyle choices provides a stepping stone to understanding how cheese consumption might permeate other facets of daily life, including the decisions made by automotive manufacturers.

Moving away from non-fiction works, we also consider the implications posed by fictional narratives. In "Cheesy Mysteries: The Curious Case of the Malfunctioning Minivan," the author spins a tale where the consumption of a particularly pungent cheese triggers a series of bizarre automotive malfunctions, raising intriguing questions about the potential influence of cheese on vehicle performance and safety. While this work exists firmly in the realm of fiction, it serves as a thought-provoking entry point for contemplating the broader implications of our findings.

The cinematic world also offers its contributions to this cheesy saga. Films such as "The Fast and the Fromageous" and "Cheese, Lies, and Recalls" explore automotive mishaps in the context of a cheese-filled universe, offering both entertaining narratives and, inadvertently, food for thought on the potential interplay between American cheese consumption and automotive disasters.

As we navigate through this palatable maze of literature, it becomes apparent that the relationship between American cheese consumption and automotive recalls is no mere "whey"ward speculation. Our investigation takes us on an unexpectedly delightful journey, unparalleled in its "gouda"ormity. While the evidential "feta" surrounding this connection may be elusive, there's no denying that our research promises to "brie"ng about some "gouda" revelations.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from USDA and US DOT . 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]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

[[INTRODUCTION]]
The world of academic research is often as serious as a heart attack, but here at the Institute of Cheesy Research, we like to inject a little cheddar into our studies. In this paper, we embark on a rather "gouda" adventure to explore the correlation (or is it "curd"-relation?) between American cheese consumption and the total number of automotive recalls in the United States. While some might think this topic is just "brie"-ing for trouble, we are "whey" too excited to dive into the potential connection between these seemingly unrelated phenomena.
Every year, American consumers gobble down an "un-brie-lievable" amount of American cheese, while the automotive industry grapples with an "edam-n" amount of vehicle recalls. Could it be that the cheese-loving populace is indirectly causing automotive mishaps? Or maybe it's just a "feta" complete coincidence? We set out to answer these "queso"-tions and discover if there's more to this cheesy conundrum than meets the eye.
As we delve into the "daunting" world of cheese and car recalls, we must acknowledge the "cheese-ingly" complex nature of the relationship we are about to explore. The "whey" in which American cheese is consumed, the "curdious" types of vehicles being recalled, and the potential impact of lactose-intolerant drivers all add layers of complexity to our investigation. However, armed with an "amped-up" statistical toolkit, we are ready to "brie"-ze through the data to unravel any "swiss"-picious associations.
Our research "provolone" the premise that cheese consumption couldn't possibly be related to automotive recalls, but as we delved deeper, we realized that the correlation might be stronger than we initially "cheddar-ed." So grab some crackers, "grate" some fresh Parmesan, and join us on this cheesy ride as we explore the "wheely" unexpected link between American cheese and automotive recalls. Get ready for a "gouda"-ful journey that's sure to "bleu" your mind!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To uncover the tantalizing relationship between American cheese consumption and the total number of automotive recalls, our research team embarked on a journey that was "gouda" give us some cheesy insights. Our data collection method was as thorough as a cheese grater, as we scoured the vast lands of the internet and delved deep into the realms of USDA and US DOT data. We wanted to see if there was a "wheely" good reason behind the potential correlation, or if it was just a "brie"-f fling of statistical happenstance.

First, we gathered data on American cheese consumption patterns from the USDA, utilizing information spanning from 1990 to 2021. Then, we cheesed off to the US DOT database to grasp the total number of automotive recalls over the same time period. We cross-checked the data points with the precision of a cheese slicer and set out to melt away any doubts about the strength of the relationship between these two seemingly unrelated phenomena.

Now, onto the cheesy details of our statistical analysis! We employed a "feta"-stic mix of methodologies, starting with a correlation analysis to gauge the relationship between American cheese consumption and automotive recalls. The Pearson correlation coefficient was our trusty tool, allowing us to quantify the strength and direction of the association between these variables. We also conducted a series of regression analyses to "gouda" measure the predictive power of American cheese consumption on the total number of automotive recalls, while controlling for potential confounding variables.

To spice things up, we utilized time series analysis to uncover any "aged" patterns in the data, examining how changes in American cheese consumption may have corresponded with shifts in the automotive recall landscape over time. We delved into the data with all the enthusiasm of a mouse in a cheese factory, aiming to uncover any "ricotta" evidence that could shed light on the intriguing connection we were investigating.

In addition, we employed some "brie"-mming with more advanced statistical techniques, including structural equation modeling, to untangle the complex web of relationships among American cheese consumption, automotive engineering, and the potential causes of vehicle recalls. This allowed us to "camembert" the potential pathways through which cheese consumption may indirectly impact automotive safety, if at all.

We also conducted sensitivity analyses to ensure that our findings remained as solid as a block of aged cheddar, even when varying our statistical assumptions and data inclusion criteria. This step was crucial to ensure that our results weren't just a fluke – after all, we weren't just "bleu"-ing into the wind with this research.

Lastly, we implemented a series of control measures to account for any "swiss"-leading factors that might confound our findings, including per capita GDP, population density, and even the number of cheese-related puns in popular culture during each year of our study period.

In the end, our approach was as thorough as a cheese connoisseur sampling a variety of fromages, aiming to slice through the "grate" unknown and uncover any "cheddar"-worthy conclusions. So, with the data collection and statistical analyses in place, we set out to "brie"-ng the "gouda" truth to light and "whey" beyond any doubts about the potential nexus between American cheese consumption and automotive recalls. Hold on to your cheesy hats – the adventure is "brie"-ing with anticipation!


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from USDA and US DOT .

For the time period 1990 to 2021, you found a correlation 0.9339061, r-squared of 0.8721805, 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]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The world of academic research is often as serious as a heart attack, but here at the Institute of Cheesy Research, we like to inject a little cheddar into our studies. In this paper, we embark on a rather "gouda" adventure to explore the correlation (or is it "curd"-relation?) between American cheese consumption and the total number of automotive recalls in the United States. While some might think this topic is just "brie"-ing for trouble, we are "whey" too excited to dive into the potential connection between these seemingly unrelated phenomena.
Every year, American consumers gobble down an "un-brie-lievable" amount of American cheese, while the automotive industry grapples with an "edam-n" amount of vehicle recalls. Could it be that the cheese-loving populace is indirectly causing automotive mishaps? Or maybe it's just a "feta" complete coincidence? We set out to answer these "queso"-tions and discover if there's more to this cheesy conundrum than meets the eye.
As we delve into the "daunting" world of cheese and car recalls, we must acknowledge the "cheese-ingly" complex nature of the relationship we are about to explore. The "whey" in which American cheese is consumed, the "curdious" types of vehicles being recalled, and the potential impact of lactose-intolerant drivers all add layers of complexity to our investigation. However, armed with an "amped-up" statistical toolkit, we are ready to "brie"-ze through the data to unravel any "swiss"-picious associations.
Our research "provolone" the premise that cheese consumption couldn't possibly be related to automotive recalls, but as we delved deeper, we realized that the correlation might be stronger than we initially "cheddar-ed." So grab some crackers, "grate" some fresh Parmesan, and join us on this cheesy ride as we explore the "wheely" unexpected link between American cheese and automotive recalls. Get ready for a "gouda"-ful journey that's sure to "bleu" your mind!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the data unveiled a remarkably strong correlation between American cheese consumption and the total number of automotive recalls in the United States. The correlation coefficient was calculated to be 0.9339061, with an r-squared value of 0.8721805 and a p-value of less than 0.01. These findings suggest that there is a high likelihood that the connection between American cheese consumption and automotive recalls is not just coincidental but may have some cheesy substance to it.

To visually depict the relationship between American cheese consumption and automotive recalls, we present a scatterplot in Figure 1. The figure showcases a tight cluster of data points, illustrating the almost symmetrical increase in American cheese consumption and the total number of automotive recalls over the years. While the scatterplot doesn't "slice" through the mystery of this correlation, it certainly adds an "extra sharp" visual element to our findings.

In summary, our results provide compelling evidence of a significant association between American cheese consumption and the total number of automotive recalls. Whether it's the power of the cheese or just plain "gouda" luck, this correlation cannot be "grated" off as mere coincidence. It's clear that there's more to this cheesy conundrum than meets the eye. So, "whey-t" no longer, as we move on to discuss the implications and potential interpretations of our intriguing findings.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. Make lots of jokes, goofy observations, and puns.

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]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

[[LITERATURE REVIEW]]
The topic of cheese consumption and its potential impact on automotive recalls is as unique as it is "grate." While the connection may seem as far-fetched as a lactose-intolerant mouse in a cheese factory, our research has unearthed a surprising body of literature that sheds light on this "cheddarly" relationship.
Smith and Doe (2010) delve into the cultural and sociological aspects of American cheese consumption in their work "Cheese: A Cultural History." While their focus is primarily on the societal significance of cheese, their findings inadvertently raise questions about the potential influence of cheese on consumer behavior, including in the automotive sector.
Jones (2015) takes a more statistical approach in the study "The Cheesy Effect: An Examination of Dairy Consumption and Lifestyle Choices." While Jones primarily examines the correlation between dairy consumption and health behaviors, their analysis of broader lifestyle choices provides a stepping stone to understanding how cheese consumption might permeate other facets of daily life, including the decisions made by automotive manufacturers.
Moving away from non-fiction works, we also consider the implications posed by fictional narratives. In "Cheesy Mysteries: The Curious Case of the Malfunctioning Minivan," the author spins a tale where the consumption of a particularly pungent cheese triggers a series of bizarre automotive malfunctions, raising intriguing questions about the potential influence of cheese on vehicle performance and safety. While this work exists firmly in the realm of fiction, it serves as a thought-provoking entry point for contemplating the broader implications of our findings.
The cinematic world also offers its contributions to this cheesy saga. Films such as "The Fast and the Fromageous" and "Cheese, Lies, and Recalls" explore automotive mishaps in the context of a cheese-filled universe, offering both entertaining narratives and, inadvertently, food for thought on the potential interplay between American cheese consumption and automotive disasters.
As we navigate through this palatable maze of literature, it becomes apparent that the relationship between American cheese consumption and automotive recalls is no mere "whey"ward speculation. Our investigation takes us on an unexpectedly delightful journey, unparalleled in its "gouda"ormity. While the evidential "feta" surrounding this connection may be elusive, there's no denying that our research promises to "brie"ng about some "gouda" revelations.

[[RESULTS]]
The statistical analysis of the data unveiled a remarkably strong correlation between American cheese consumption and the total number of automotive recalls in the United States. The correlation coefficient was calculated to be 0.9339061, with an r-squared value of 0.8721805 and a p-value of less than 0.01. These findings suggest that there is a high likelihood that the connection between American cheese consumption and automotive recalls is not just coincidental but may have some cheesy substance to it.
To visually depict the relationship between American cheese consumption and automotive recalls, we present a scatterplot in Figure 1. The figure showcases a tight cluster of data points, illustrating the almost symmetrical increase in American cheese consumption and the total number of automotive recalls over the years. While the scatterplot doesn't "slice" through the mystery of this correlation, it certainly adds an "extra sharp" visual element to our findings.
In summary, our results provide compelling evidence of a significant association between American cheese consumption and the total number of automotive recalls. Whether it's the power of the cheese or just plain "gouda" luck, this correlation cannot be "grated" off as mere coincidence. It's clear that there's more to this cheesy conundrum than meets the eye. So, "whey-t" no longer, as we move on to discuss the implications and potential interpretations of our intriguing findings.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study has shed light on the fascinating, if not slightly "cheesy," relationship between American cheese consumption and the total number of automotive recalls in the United States. The findings from our analysis not only support but also enhance the existing literature, where the scent of ripe cheddar has been lingering around the world of automotive disasters.

Smith and Doe's (2010) work on the cultural significance of cheese inadvertently laid the foundation for our exploration, as it hinted at the potential impact of cheese consumption on consumer behavior. Our results confirm that this influence might extend to the automotive sector, making it clear that the consequences of a nation’s love for American cheese stretch beyond the culinary realm.

Similarly, Jones's (2015) statistical investigation into dairy consumption and lifestyle choices set the stage for our study, demonstrating the potential for dietary habits to influence broader life decisions. Indeed, our research found a connection between cheese consumption and automotive recalls, indicating that what we consume may indeed drive not only our health but also the fate of automobiles—talk about a "wheel-y" intriguing discovery.

Delving into the world of fiction, "Cheesy Mysteries: The Curious Case of the Malfunctioning Minivan" may have been a work of imagination, but our study breathes life into the intriguing questions it raised. The statistical link we uncovered lends credence to the notion that cheese could play a role in vehicle performance and safety, making it clear that the impact of cheese transcends reality and fiction.

Our findings have not only confirmed but also "cheddar-ed" a new layer of understanding to the existing literature, highlighting a correlation that's as undeniable as the appeal of a good grilled cheese sandwich.

By providing empirical evidence with a correlation coefficient of 0.9339061, our study has established a strong basis for future investigations and potential interventions in the automotive industry. Whether it's the allure of the cheese or a "gouda" coincidence, the implications of our research are certainly "grate" and deserving of further exploration.

In essence, this study has "brie"ged the gap between cheese consumption and automotive recalls, leaving a "whey" of thought-provoking implications in its wake. As we look to the future, no longer should we "muenster" the potential impact of cheese on automotive safety—it's a "gouda" area ripe for further research and, dare we say, "wheel-y" exciting possibilities.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 American cheese consumption and Total number of automotive recalls. Make lots of jokes, goofy observations, and puns.

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]]
"Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters"

[[ABSTRACT]]
In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

[[INTRDUCTION]]
The world of academic research is often as serious as a heart attack, but here at the Institute of Cheesy Research, we like to inject a little cheddar into our studies. In this paper, we embark on a rather "gouda" adventure to explore the correlation (or is it "curd"-relation?) between American cheese consumption and the total number of automotive recalls in the United States. While some might think this topic is just "brie"-ing for trouble, we are "whey" too excited to dive into the potential connection between these seemingly unrelated phenomena.
Every year, American consumers gobble down an "un-brie-lievable" amount of American cheese, while the automotive industry grapples with an "edam-n" amount of vehicle recalls. Could it be that the cheese-loving populace is indirectly causing automotive mishaps? Or maybe it's just a "feta" complete coincidence? We set out to answer these "queso"-tions and discover if there's more to this cheesy conundrum than meets the eye.
As we delve into the "daunting" world of cheese and car recalls, we must acknowledge the "cheese-ingly" complex nature of the relationship we are about to explore. The "whey" in which American cheese is consumed, the "curdious" types of vehicles being recalled, and the potential impact of lactose-intolerant drivers all add layers of complexity to our investigation. However, armed with an "amped-up" statistical toolkit, we are ready to "brie"-ze through the data to unravel any "swiss"-picious associations.
Our research "provolone" the premise that cheese consumption couldn't possibly be related to automotive recalls, but as we delved deeper, we realized that the correlation might be stronger than we initially "cheddar-ed." So grab some crackers, "grate" some fresh Parmesan, and join us on this cheesy ride as we explore the "wheely" unexpected link between American cheese and automotive recalls. Get ready for a "gouda"-ful journey that's sure to "bleu" your mind!

[[RESULTS]]
The statistical analysis of the data unveiled a remarkably strong correlation between American cheese consumption and the total number of automotive recalls in the United States. The correlation coefficient was calculated to be 0.9339061, with an r-squared value of 0.8721805 and a p-value of less than 0.01. These findings suggest that there is a high likelihood that the connection between American cheese consumption and automotive recalls is not just coincidental but may have some cheesy substance to it.
To visually depict the relationship between American cheese consumption and automotive recalls, we present a scatterplot in Figure 1. The figure showcases a tight cluster of data points, illustrating the almost symmetrical increase in American cheese consumption and the total number of automotive recalls over the years. While the scatterplot doesn't "slice" through the mystery of this correlation, it certainly adds an "extra sharp" visual element to our findings.
In summary, our results provide compelling evidence of a significant association between American cheese consumption and the total number of automotive recalls. Whether it's the power of the cheese or just plain "gouda" luck, this correlation cannot be "grated" off as mere coincidence. It's clear that there's more to this cheesy conundrum than meets the eye. So, "whey-t" no longer, as we move on to discuss the implications and potential interpretations of our intriguing findings.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, it's "grate" to see that our research has shredded some light on the correlation between American cheese consumption and automotive recalls. Our findings suggest a relationship as strong as a block of aged cheddar, with a coefficient so high, it's almost "gouda" be true. It seems that the more American cheese people consume, the more wheels fall off cars. But before we start blaming cheese for automotive mishaps, let's remember that correlation doesn't necessarily mean causation. Perhaps it's just a "queso" of people feeling "bleu" about their cars and reaching for comfort cheese. Or maybe it's the result of "emmental" stress in the automobile industry leading to more cheesy snacks.

As we "brie-f"ly touched upon earlier, the implications of our findings are as "sharp" as a parmesan wedge. It raises questions about the "whey" in which consumer behaviors, automotive engineering, and industry practices intersect. There's a "gouda" chance that further research into this area will "brie"ng more clarity. But let's not "edam-n" ourselves with too much seriousness, as we "cheddar" not dwell on this topic forever.

In the "dairy" event that any skeptical researchers may doubt the validity of our results, we encourage them to "meltdown" any doubts and "camembert" the consequences. We are confident that our findings are not just a "fondue" of statistical noise but a "colby"ration of significance.

In the end, it's clear that our research has "caerphilly" explored the possible link between American cheese and automotive recalls. We are "feta" up with this topic, and we believe that no more research is needed in this "swiss-picious" area. Let's "brie" thankful for the "wheely" unexpected journey, but it's time to move on to greener (or should I say "cheesier") pastures.

No more "brie-fs" on this topic, it's time to "brie" done with it!



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 Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Dairy-Infused Mishaps


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 Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters. Respond only with the name of a fictional organization.

ChatGPT:

The Association for Dairy Consumption and Roadway Safety 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 Cheesy Recalls: Uncovering the Link Between American Cheese Consumption and Automotive Disasters with an abstract of In a world full of automotive recalls and endless amounts of processed cheese, our research aimed to uncover a potential link between American cheese consumption and the total number of automotive recalls in the United States. Armed with an arsenal of statistical tools and a love for both cheese and cars, our team delved into USDA and US DOT data spanning from 1990 to 2021. Our findings revealed a surprisingly strong correlation, with a coefficient of 0.9339061 and p < 0.01. While we can't say that consuming American cheese directly causes automotive disasters, there's no denying that our results are quite gouda. Whether it's the holes in the cheese or the pitfalls in automotive engineering, this study highlights a correlation that's grater than expected. So, buckle up and say cheese as we dive into the wheely intriguing world of American cheese and automotive recalls.

ChatGPT:

American cheese consumption, automotive disasters, correlation, processed cheese, USDA data, US DOT data, statistical analysis, automotive recalls, United States, cheese consumption, automotive engineering, gouda, wheely intriguing

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



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Data details

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

Total number of automotive recalls
Source: US DOT
See what else correlates with Total number of automotive recalls

Correlation r = 0.9339061 (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 = 0.8721805 (Coefficient of determination)
This means 87.2% of the change in the one variable (i.e., Total number of automotive recalls) is predictable based on the change in the other (i.e., American 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 6.1E-15. 0.0000000000000061156908488828
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 0.93 in 6.1E-13% of random cases. Said differently, if you correlated 163,513,824,473,760 random variables You don't actually need 163 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
American cheese consumption (Pounds per person)11.12711.033511.255911.31311.423711.687211.808711.814911.978412.698712.683912.813312.831412.561912.861212.64913.065612.792913.130613.355313.304813.039213.256913.357313.665614.044414.362115.090115.402715.538915.516.1
Total number of automotive recalls (Recalls)270281217264288357341318413444621559510600699645613713780570722655661710869971103189710329638831093




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([11.127,11.0335,11.2559,11.313,11.4237,11.6872,11.8087,11.8149,11.9784,12.6987,12.6839,12.8133,12.8314,12.5619,12.8612,12.649,13.0656,12.7929,13.1306,13.3553,13.3048,13.0392,13.2569,13.3573,13.6656,14.0444,14.3621,15.0901,15.4027,15.5389,15.5,16.1,])
array_2 = np.array([270,281,217,264,288,357,341,318,413,444,621,559,510,600,699,645,613,713,780,570,722,655,661,710,869,971,1031,897,1032,963,883,1093,])
array_1_name = "American cheese consumption"
array_2_name = "Total number of automotive recalls"

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

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



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Correlation ID: 1299 · Black Variable ID: 553 · Red Variable ID: 1116
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