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Spurious correlation #4,928 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Votes for Libertarian Senators in Utah and the second variable is Automotive recalls issued by Winnebago Industries.  The chart goes from 1976 to 2018, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the Libertarian votes revved up in Utah, it seems Winnebago couldn't 're-call' their faulty vehicles. It's like the saying goes, when it rains, it Winnebago's, it pours— leading to a 'politicar' mess on the roads! The shift in support must've driven Winnebago to make some 're-Volt-ing' decisions, proving that in this race, every vote and 'auto'motive issue counts! Remember, when it comes to politics and Winnebago recalls, it's all about steering the 'liber'tarian way!

Model: dalle-3
Prompt: Generate an image of a scene set against a Brutalist backdrop, featuring a group of individuals in Utah casting Libertarian votes for Senators with an air of determination and pride. In the background, a line of Winnebago vehicles is prominently displayed, receiving a recall notice. The juxtaposition of the political fervor and the automotive issues creates a striking visual contrast, emphasizing the potential consequences of these individuals' choices on the roads. 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: Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. 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: 3D Pixar Style Psychedelic Macabre Brutalism Brutalism
ChatGPT: Brutalism

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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries, in the following situation: As the Libertarian votes revved up in Utah, it seems Winnebago couldn't 're-call' their faulty vehicles. It's like the saying goes, when it rains, it Winnebago's, it pours— leading to a 'politicar' mess on the roads! The shift in support must've driven Winnebago to make some 're-Volt-ing' decisions, proving that in this race, every vote and 'auto'motive issue counts! Remember, when it comes to politics and Winnebago recalls, it's all about steering the 'liber'tarian way!. Keep the description simple.
ChatGPT: A group of people in Utah proudly casts their Libertarian votes for Senators, while in the background, a line of Winnebago vehicles receives a recall notice. The juxtaposition of political support and automotive troubles creates a visual of contrasting priorities and the potential impact of these decisions on the roads.

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: [ Brutalism ] and depicting this scene: A group of people in Utah proudly casts their Libertarian votes for Senators, while in the background, a line of Winnebago vehicles receives a recall notice. The juxtaposition of political support and automotive troubles creates a visual of contrasting priorities and the potential impact of these decisions on the roads. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a scene set against a Brutalist backdrop, featuring a group of individuals in Utah casting Libertarian votes for Senators with an air of determination and pride. In the background, a line of Winnebago vehicles is prominently displayed, receiving a recall notice. The juxtaposition of the political fervor and the automotive issues creates a striking visual contrast, emphasizing the potential consequences of these individuals' choices on the roads.

*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 Libertarian votes for Senators in Utah caused Automotive recalls issued by Winnebago Industries to increase. Include one good pun.

AI academic paper

(Because p < 0.01)
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

The Journal of Political Puzzles and Policy Paradoxes

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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. Make lots of jokes, goofy observations, and puns.

Make the title an alliteration.

Your research team used data from MIT Election Data and Science Lab, Harvard Dataverse and US DOT to assess this nagging question. You found a correlation coefficient of 0.9293056 and p < 0.01 for 1976 to 2018.

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]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.


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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

In the world of political science and automotive engineering, one might not expect to find much common ground. However, our research aims to prove that even in the most unlikely of places, there can be intriguing correlations waiting to be discovered. In this paper, we delve into the surprising intersection between the voting patterns of Libertarian supporters for Senators in Utah and the incidence of automotive recalls issued by Winnebago Industries. It's a match made in statistical heaven - or should we say "data-driven destiny"?

As we venture into this uncharted territory, we are reminded of the famous words of Benjamin Disraeli: "There are three kinds of lies: lies, damned lies, and statistics." But fear not, dear readers, for our statistical exploration is not meant to deceive but to enlighten. We promise to make this journey through the land of numbers as entertaining as possible, with just the right dose of wit and whimsy.

Our quest begins with a curious curiosity about the Libertarian stronghold in Utah and its potential influence on the automotive industry. Could it be that the preferences of political constituents have an unexpected impact on the production and quality control of recreational vehicles? Or are we merely seeing a statistical anomaly that tickles the fancy of data enthusiasts and political pundits alike?

As we embark on this scholarly escapade, we assure you that our analysis will be as rigorous as a lab experiment and as captivating as a Broadway show. So buckle up, dear readers, as we navigate the twists and turns of empirical evidence and engage in a bit of statistical storytelling along the way. After all, what's research without a sprinkle of humor and a pinch of pizzazz?

In the following sections, we will unravel the enigma of these seemingly unrelated variables and present our findings with scholarly flair, all with the goal of shedding light on this puzzling puzzle. It's time to peel back the layers of statistical significance and uncover the hidden gems of correlation, causation, and perhaps a touch of cosmic coincidence. Welcome to the whimsical world of political preferences and automotive mishaps – the stage is set, the data awaits, and the adventure begins!


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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. 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 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]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
In the world of political science and automotive engineering, one might not expect to find much common ground. However, our research aims to prove that even in the most unlikely of places, there can be intriguing correlations waiting to be discovered. In this paper, we delve into the surprising intersection between the voting patterns of Libertarian supporters for Senators in Utah and the incidence of automotive recalls issued by Winnebago Industries. It's a match made in statistical heaven - or should we say "data-driven destiny"?
As we venture into this uncharted territory, we are reminded of the famous words of Benjamin Disraeli: "There are three kinds of lies: lies, damned lies, and statistics." But fear not, dear readers, for our statistical exploration is not meant to deceive but to enlighten. We promise to make this journey through the land of numbers as entertaining as possible, with just the right dose of wit and whimsy.
Our quest begins with a curious curiosity about the Libertarian stronghold in Utah and its potential influence on the automotive industry. Could it be that the preferences of political constituents have an unexpected impact on the production and quality control of recreational vehicles? Or are we merely seeing a statistical anomaly that tickles the fancy of data enthusiasts and political pundits alike?
As we embark on this scholarly escapade, we assure you that our analysis will be as rigorous as a lab experiment and as captivating as a Broadway show. So buckle up, dear readers, as we navigate the twists and turns of empirical evidence and engage in a bit of statistical storytelling along the way. After all, what's research without a sprinkle of humor and a pinch of pizzazz?
In the following sections, we will unravel the enigma of these seemingly unrelated variables and present our findings with scholarly flair, all with the goal of shedding light on this puzzling puzzle. It's time to peel back the layers of statistical significance and uncover the hidden gems of correlation, causation, and perhaps a touch of cosmic coincidence. Welcome to the whimsical world of political preferences and automotive mishaps – the stage is set, the data awaits, and the adventure begins!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Smith and Doe (2015)," the authors find compelling evidence of a positive correlation between the number of Libertarian votes for Senators in Utah and the frequency of automotive recalls issued by Winnebago Industries. Their study delves deep into the intricacies of political constituencies and their potential impact on the manufacturing sector, providing a thought-provoking foundation for our own investigation.

Similarly, "Jones et al. (2017)" explore the nuanced relationship between political ideologies and automotive safety, shedding light on the unexpected influence of voter preferences on the production processes of recreational vehicles. Their rigorous analysis sets the stage for our endeavor to uncover the improbable yet intriguing connection between Libertarians in Utah and Winnebago's automotive woes.

However, it is worth noting that not all literature in this domain maintains a solemn and scholarly tone. "Car Troubles: Misadventures in Automotive Engineering" by K. Crash (2018) offers a lighthearted account of the trials and tribulations in the automotive industry, providing a refreshing departure from the usual academic discourse. While not a scientific treatise, the book offers anecdotal insights that add a dash of levity to our examination of automotive mishaps.

On a more fictional note, "Wheels of Fate" by A. Random (2016) immerses readers in a world where political intrigue and automotive disasters collide in unexpected ways. While not a scholarly source, the novel sparks the imagination and prompts us to ponder the improbable intersections of political preferences and vehicular vicissitudes.

In our quest for a deeper understanding of this phenomenon, we turned to television for inspiration. The hit series "Recall and Recreation" presents a fictitious yet captivating portrayal of the behind-the-scenes drama at a recreational vehicle manufacturing company. While the show may not be grounded in empirical research, it offers a riveting glimpse into the tumultuous world of automotive production, providing a backdrop for our scholarly exploration.

Indeed, our literature review encompasses a diverse array of sources, from the rigorously academic to the delightfully whimsical, reflecting the multifaceted nature of our investigation. With this eclectic blend of insights, we embark on our own journey to untangle the enigmatic link between Libertarian votes in Utah and Winnebago's automotive tribulations.


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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and US DOT . You used data from 1976 to 2018

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]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

[[INTRODUCTION]]
In the world of political science and automotive engineering, one might not expect to find much common ground. However, our research aims to prove that even in the most unlikely of places, there can be intriguing correlations waiting to be discovered. In this paper, we delve into the surprising intersection between the voting patterns of Libertarian supporters for Senators in Utah and the incidence of automotive recalls issued by Winnebago Industries. It's a match made in statistical heaven - or should we say "data-driven destiny"?
As we venture into this uncharted territory, we are reminded of the famous words of Benjamin Disraeli: "There are three kinds of lies: lies, damned lies, and statistics." But fear not, dear readers, for our statistical exploration is not meant to deceive but to enlighten. We promise to make this journey through the land of numbers as entertaining as possible, with just the right dose of wit and whimsy.
Our quest begins with a curious curiosity about the Libertarian stronghold in Utah and its potential influence on the automotive industry. Could it be that the preferences of political constituents have an unexpected impact on the production and quality control of recreational vehicles? Or are we merely seeing a statistical anomaly that tickles the fancy of data enthusiasts and political pundits alike?
As we embark on this scholarly escapade, we assure you that our analysis will be as rigorous as a lab experiment and as captivating as a Broadway show. So buckle up, dear readers, as we navigate the twists and turns of empirical evidence and engage in a bit of statistical storytelling along the way. After all, what's research without a sprinkle of humor and a pinch of pizzazz?
In the following sections, we will unravel the enigma of these seemingly unrelated variables and present our findings with scholarly flair, all with the goal of shedding light on this puzzling puzzle. It's time to peel back the layers of statistical significance and uncover the hidden gems of correlation, causation, and perhaps a touch of cosmic coincidence. Welcome to the whimsical world of political preferences and automotive mishaps – the stage is set, the data awaits, and the adventure begins!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the curious connection between Libertarian votes for Senators in Utah and automotive recalls issued by Winnebago Industries, our research team deployed a blend of statistical wizardry, internet sleuthing, and a touch of whimsy. The data for this endeavor was primarily sourced from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, serving as our treasure trove of information spanning the years 1976 to 2018.

First and foremost, we compiled a comprehensive dataset, much like assembling the ingredients for an elaborate scientific experiment or a particularly complex recipe for a statistical soufflé. This involved gathering information on Libertarian voting patterns in Utah and the frequency and nature of automotive recalls attributed to Winnebago Industries.

Our approach to analyzing the data resembled a delicate dance between precision and playfulness, akin to a researcher tiptoeing through a field of statistical tulips whilst donning a pair of data-driven tap shoes. We opted for a multi-step process involving regression analyses, time series modeling, and correlation calculations, which put the F in "fun with statistics."

To gauge the strength and significance of the relationship between these seemingly disparate variables, we gleefully computed correlation coefficients and p-values, transforming esoteric equations and intricate statistical formulas into a symphony of data-driven discovery. This involved juggling numbers and equations with the finesse of a seasoned circus performer, all in the pursuit of unraveling the enigma wrapped in a statistical riddle inside a conundrum.

Additionally, our methodology included the application of sophisticated statistical software, allowing us to weave a tapestry of numbers and charts that would dazzle even the most discerning of research connoisseurs. This software served as our trusty sidekick in the quest for uncovering patterns and insights, akin to the Watson to our statistical Sherlock Holmes.

As a final touch of statistical serendipity, we did not shy away from incorporating a healthy dose of humor and levity into our methodological approach. After all, what is research without a splash of scholarly silliness and a pinch of statistical satire? Our aim was to infuse the rigorous with the ridiculous, to blend the serious with the whimsical, making this academic undertaking a captivating adventure through the landscape of numbers and novelty.

In summary, our methodology embraced a harmonious fusion of data collection, statistical analyses, and a sprinkle of scholarly shenanigans, all in the pursuit of uncovering the surprising synergy between political preferences and automotive misadventures. It's science with a smile, statistics with a side of silliness—an approach that we hope will delight and enlighten readers as they journey through the scenic vistas of empirical revelation and statistical storytelling.


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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and US DOT .

For the time period 1976 to 2018, you found a correlation 0.9293056, r-squared of 0.8636088, 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]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
In the world of political science and automotive engineering, one might not expect to find much common ground. However, our research aims to prove that even in the most unlikely of places, there can be intriguing correlations waiting to be discovered. In this paper, we delve into the surprising intersection between the voting patterns of Libertarian supporters for Senators in Utah and the incidence of automotive recalls issued by Winnebago Industries. It's a match made in statistical heaven - or should we say "data-driven destiny"?
As we venture into this uncharted territory, we are reminded of the famous words of Benjamin Disraeli: "There are three kinds of lies: lies, damned lies, and statistics." But fear not, dear readers, for our statistical exploration is not meant to deceive but to enlighten. We promise to make this journey through the land of numbers as entertaining as possible, with just the right dose of wit and whimsy.
Our quest begins with a curious curiosity about the Libertarian stronghold in Utah and its potential influence on the automotive industry. Could it be that the preferences of political constituents have an unexpected impact on the production and quality control of recreational vehicles? Or are we merely seeing a statistical anomaly that tickles the fancy of data enthusiasts and political pundits alike?
As we embark on this scholarly escapade, we assure you that our analysis will be as rigorous as a lab experiment and as captivating as a Broadway show. So buckle up, dear readers, as we navigate the twists and turns of empirical evidence and engage in a bit of statistical storytelling along the way. After all, what's research without a sprinkle of humor and a pinch of pizzazz?
In the following sections, we will unravel the enigma of these seemingly unrelated variables and present our findings with scholarly flair, all with the goal of shedding light on this puzzling puzzle. It's time to peel back the layers of statistical significance and uncover the hidden gems of correlation, causation, and perhaps a touch of cosmic coincidence. Welcome to the whimsical world of political preferences and automotive mishaps – the stage is set, the data awaits, and the adventure begins!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our rigorous analysis revealed a surprisingly strong correlation (r=0.9293056) between the Libertarian votes for Senators in Utah and the automotive recalls issued by Winnebago Industries. This correlation exhibited an impressive R-squared value of 0.8636088, indicating that approximately 86.36% of the variation in automotive recalls could be explained by the Libertarian votes in Utah. With a p-value of less than 0.01, we can unapologetically declare that this relationship is not just a statistical fluke – it's as real as a well-fitted t-distribution.

Our extensive data collection and analysis have brought to light a connection that, much like a clandestine affair, eluded the public eye for decades. The figure (Fig. 1) depicts a scatterplot showcasing the robust relationship between these seemingly disparate variables. The data points are as tightly clustered as political pundits at a debate, demonstrating a compelling linear association that even the most seasoned statistician would find hard to ignore.

One might be tempted to exclaim, "By George, we've cracked the code! The Libertarians may hold the key to Winnebago's wheel of woes." However, we must approach our findings with cautious optimism and a healthy dose of scientific skepticism, akin to embarking on a road trip with a spare tire and a GPS.

These results not only provide striking empirical evidence of an unexpected correlation but also open the door to a myriad of theoretical implications and practical applications. Could it be that political preferences have a hitherto unexplored influence on the automotive industry? Is there an underlying mechanism at play, or are we merely witnessing a statistical dance that dazzles and perplexes in equal measure?

In conclusion, our research has uncovered a captivating connection between the voting behavior of Libertarian supporters in Utah and the occurrence of automotive recalls by Winnebago Industries. This finding transcends the boundaries of conventional wisdom and beckons for further investigation into the intersection of politics and automotive engineering. We invite our esteemed colleagues to join us in this intellectual escapade, armed with wit, wisdom, and a penchant for the pleasantly peculiar.


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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

[[LITERATURE REVIEW]]
In "Smith and Doe (2015)," the authors find compelling evidence of a positive correlation between the number of Libertarian votes for Senators in Utah and the frequency of automotive recalls issued by Winnebago Industries. Their study delves deep into the intricacies of political constituencies and their potential impact on the manufacturing sector, providing a thought-provoking foundation for our own investigation.
Similarly, "Jones et al. (2017)" explore the nuanced relationship between political ideologies and automotive safety, shedding light on the unexpected influence of voter preferences on the production processes of recreational vehicles. Their rigorous analysis sets the stage for our endeavor to uncover the improbable yet intriguing connection between Libertarians in Utah and Winnebago's automotive woes.
However, it is worth noting that not all literature in this domain maintains a solemn and scholarly tone. "Car Troubles: Misadventures in Automotive Engineering" by K. Crash (2018) offers a lighthearted account of the trials and tribulations in the automotive industry, providing a refreshing departure from the usual academic discourse. While not a scientific treatise, the book offers anecdotal insights that add a dash of levity to our examination of automotive mishaps.
On a more fictional note, "Wheels of Fate" by A. Random (2016) immerses readers in a world where political intrigue and automotive disasters collide in unexpected ways. While not a scholarly source, the novel sparks the imagination and prompts us to ponder the improbable intersections of political preferences and vehicular vicissitudes.
In our quest for a deeper understanding of this phenomenon, we turned to television for inspiration. The hit series "Recall and Recreation" presents a fictitious yet captivating portrayal of the behind-the-scenes drama at a recreational vehicle manufacturing company. While the show may not be grounded in empirical research, it offers a riveting glimpse into the tumultuous world of automotive production, providing a backdrop for our scholarly exploration.
Indeed, our literature review encompasses a diverse array of sources, from the rigorously academic to the delightfully whimsical, reflecting the multifaceted nature of our investigation. With this eclectic blend of insights, we embark on our own journey to untangle the enigmatic link between Libertarian votes in Utah and Winnebago's automotive tribulations.

[[RESULTS]]
The results of our rigorous analysis revealed a surprisingly strong correlation (r=0.9293056) between the Libertarian votes for Senators in Utah and the automotive recalls issued by Winnebago Industries. This correlation exhibited an impressive R-squared value of 0.8636088, indicating that approximately 86.36% of the variation in automotive recalls could be explained by the Libertarian votes in Utah. With a p-value of less than 0.01, we can unapologetically declare that this relationship is not just a statistical fluke – it's as real as a well-fitted t-distribution.
Our extensive data collection and analysis have brought to light a connection that, much like a clandestine affair, eluded the public eye for decades. The figure (Fig. 1) depicts a scatterplot showcasing the robust relationship between these seemingly disparate variables. The data points are as tightly clustered as political pundits at a debate, demonstrating a compelling linear association that even the most seasoned statistician would find hard to ignore.
One might be tempted to exclaim, "By George, we've cracked the code! The Libertarians may hold the key to Winnebago's wheel of woes." However, we must approach our findings with cautious optimism and a healthy dose of scientific skepticism, akin to embarking on a road trip with a spare tire and a GPS.
These results not only provide striking empirical evidence of an unexpected correlation but also open the door to a myriad of theoretical implications and practical applications. Could it be that political preferences have a hitherto unexplored influence on the automotive industry? Is there an underlying mechanism at play, or are we merely witnessing a statistical dance that dazzles and perplexes in equal measure?
In conclusion, our research has uncovered a captivating connection between the voting behavior of Libertarian supporters in Utah and the occurrence of automotive recalls by Winnebago Industries. This finding transcends the boundaries of conventional wisdom and beckons for further investigation into the intersection of politics and automotive engineering. We invite our esteemed colleagues to join us in this intellectual escapade, armed with wit, wisdom, and a penchant for the pleasantly peculiar.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The uncanny correlation unveiled by our research has left even the most seasoned scholars scratching their heads in bewildered amusement. What seems like a playful romp through the annals of statistical analysis has unearthed a connection so unexpected, it's almost as surprising as finding a minivan in the Fast and Furious franchise. Our findings not only corroborate the work of Smith and Doe (2015) and Jones et al. (2017), but also add a touch of whimsy to the otherwise staid landscape of academic exploration.

The robust relationship between the number of Libertarian votes for Senators in Utah and the frequency of automotive recalls issued by Winnebago Industries begs the question: could these two seemingly unrelated entities be engaged in a clandestine tango of political maneuvering and vehicular misadventure? It's as if the political landscape of Utah is influencing the wheels of fate for Winnebago, creating a confluence of events that is as improbable as a unicycle in a Formula 1 race.

In the spirit of lighthearted inquiry, we propose that the statistical dance we've uncovered between political preferences and automotive tribulations may be akin to a comedic play with a cast of characters that include ideologically driven constituents, beleaguered manufacturers, and a chorus of surprised onlookers who can't help but chuckle at the absurdity of the situation. Just as a good punchline requires precise timing, our findings reveal a correlation that elicits both head-scratching befuddlement and a knowing smirk.

With an R-squared value of 0.8636088, our results suggest that the vast majority of the variation in automotive recalls can be attributed to the number of Libertarian votes in Utah. This degree of predictability is as dependable as a labrador retrieving a tennis ball, and it prompts us to contemplate the theoretical implications with a combination of scholarly rigor and a healthy dose of good humor.

While some may view this unlikely connection as an amusing anomaly in the annals of social science, we are compelled to consider its practical implications. Could it be that the political leanings of a state's constituents exert an unforeseen influence on the products they consume? Are Winnebago's automotive mishaps inadvertently mirroring the political rollercoaster of Utah, much like an absurdist play echoing the absurdity of life itself?

In a world where research often feels more like a somber symphony, our study injects a note of whimsy, inviting fellow academics to join us in this intellectual escapade as we don our thinking caps and comedy hats in equal measure. It is our hope that this serendipitous synthesis of politics and automotive recalls will inspire a wave of jovial curiosity in the hallowed halls of academia, where mirth can mingle with meticulous analysis in a harmonious union of enlightenment and entertainment.


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 Libertarian votes for Senators in Utah and Automotive recalls issued by Winnebago Industries. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes

[[ABSTRACT]]
This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

[[INTRDUCTION]]
In the world of political science and automotive engineering, one might not expect to find much common ground. However, our research aims to prove that even in the most unlikely of places, there can be intriguing correlations waiting to be discovered. In this paper, we delve into the surprising intersection between the voting patterns of Libertarian supporters for Senators in Utah and the incidence of automotive recalls issued by Winnebago Industries. It's a match made in statistical heaven - or should we say "data-driven destiny"?
As we venture into this uncharted territory, we are reminded of the famous words of Benjamin Disraeli: "There are three kinds of lies: lies, damned lies, and statistics." But fear not, dear readers, for our statistical exploration is not meant to deceive but to enlighten. We promise to make this journey through the land of numbers as entertaining as possible, with just the right dose of wit and whimsy.
Our quest begins with a curious curiosity about the Libertarian stronghold in Utah and its potential influence on the automotive industry. Could it be that the preferences of political constituents have an unexpected impact on the production and quality control of recreational vehicles? Or are we merely seeing a statistical anomaly that tickles the fancy of data enthusiasts and political pundits alike?
As we embark on this scholarly escapade, we assure you that our analysis will be as rigorous as a lab experiment and as captivating as a Broadway show. So buckle up, dear readers, as we navigate the twists and turns of empirical evidence and engage in a bit of statistical storytelling along the way. After all, what's research without a sprinkle of humor and a pinch of pizzazz?
In the following sections, we will unravel the enigma of these seemingly unrelated variables and present our findings with scholarly flair, all with the goal of shedding light on this puzzling puzzle. It's time to peel back the layers of statistical significance and uncover the hidden gems of correlation, causation, and perhaps a touch of cosmic coincidence. Welcome to the whimsical world of political preferences and automotive mishaps – the stage is set, the data awaits, and the adventure begins!

[[RESULTS]]
The results of our rigorous analysis revealed a surprisingly strong correlation (r=0.9293056) between the Libertarian votes for Senators in Utah and the automotive recalls issued by Winnebago Industries. This correlation exhibited an impressive R-squared value of 0.8636088, indicating that approximately 86.36% of the variation in automotive recalls could be explained by the Libertarian votes in Utah. With a p-value of less than 0.01, we can unapologetically declare that this relationship is not just a statistical fluke – it's as real as a well-fitted t-distribution.
Our extensive data collection and analysis have brought to light a connection that, much like a clandestine affair, eluded the public eye for decades. The figure (Fig. 1) depicts a scatterplot showcasing the robust relationship between these seemingly disparate variables. The data points are as tightly clustered as political pundits at a debate, demonstrating a compelling linear association that even the most seasoned statistician would find hard to ignore.
One might be tempted to exclaim, "By George, we've cracked the code! The Libertarians may hold the key to Winnebago's wheel of woes." However, we must approach our findings with cautious optimism and a healthy dose of scientific skepticism, akin to embarking on a road trip with a spare tire and a GPS.
These results not only provide striking empirical evidence of an unexpected correlation but also open the door to a myriad of theoretical implications and practical applications. Could it be that political preferences have a hitherto unexplored influence on the automotive industry? Is there an underlying mechanism at play, or are we merely witnessing a statistical dance that dazzles and perplexes in equal measure?
In conclusion, our research has uncovered a captivating connection between the voting behavior of Libertarian supporters in Utah and the occurrence of automotive recalls by Winnebago Industries. This finding transcends the boundaries of conventional wisdom and beckons for further investigation into the intersection of politics and automotive engineering. We invite our esteemed colleagues to join us in this intellectual escapade, armed with wit, wisdom, and a penchant for the pleasantly peculiar.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

As we reach the conclusion of our whimsical journey through the land of statistical sorcery and political peculiarities, we find ourselves standing at the intersection of Liberty Lane and Recalls Road, marveling at the enigmatic connection between the voting behavior of Libertarian supporters in Utah and the automotive mishaps of Winnebago Industries. Our findings have unveiled a correlation so strong, it's like the bond between carbon atoms in a diamond – unbreakable and dazzling.

But let's not jump the statistical gun just yet. While our results paint a compelling picture of a world where political preferences and automotive tribulations tango in perfect harmony, we must maintain a healthy dose of scholarly skepticism. After all, as researchers, it's our job to question everything, from the reliability of data to the randomness of residuals.

Speaking of randomness, who would have thought that the whims of political constituents could shape the fate of recreational vehicles with such statistical significance? It's like discovering that the coefficient of determination has a mischievous sense of humor, playing statistical hide-and-seek with unsuspecting researchers.

In the grand symphony of scientific discovery, our study adds a quirky note – the Libertarians might just hold the statistical key to the Winnebago's recall conundrum. As we wrap up this statistical safari, we invite our esteemed colleagues to relish the absurdity of our findings and to join us in embracing the delightful dance of data, Libertarians, and automotive mishaps.

In the words of Thomas Edison, "To invent, you need a good imagination and a pile of junk." And just like that, our research has transformed the statistical "junk" into a whimsical wonderland of empirical evidence and scholarly amusement.

And so, with a nod to the quirks of statistical fate and a twirl of political pizzazz, we assert with great academic resolve that no further research in this area is needed. After all, sometimes a statistical enigma is best enjoyed with a side of playful perplexity.


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 Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Political Puzzles and Policy Paradoxes


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 Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Ethical Advancements in Political Research and Analysis


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Libertarian Leverage: Linking Utah Senators’ Supporters to Winnebago Woes with an abstract of This paper explores the surprisingly serendipitous synthesis between the voting behavior of Libertarian supporters for Senators in Utah and the occurrence of automotive recalls issued by Winnebago Industries. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team embarked on a quest to unravel this enigmatic enigma. A correlation coefficient of 0.9293056 and p < 0.01 for the period spanning from 1976 to 2018 provided empirical evidence of this unlikely connection. Through meticulous statistical analysis and a dash of humor, we strive to shed light on this puzzling phenomenon and to offer a whimsical perspective on the intricate interplay between political preferences and automotive mishaps.

ChatGPT:

Libertarian supporters, Utah Senators, Winnebago recalls, voting behavior, correlation coefficient, MIT Election Data and Science Lab, Harvard Dataverse, US DOT, automotive recalls, political preferences, statistical analysis, political supporters, automotive mishaps

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



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Data details

Votes for Libertarian Senators in Utah
Detailed data title: Total number of votes cast for Federal Libertarian Senate candidates in Utah
Source: MIT Election Data and Science Lab, Harvard Dataverse
See what else correlates with Votes for Libertarian Senators in Utah

Automotive recalls issued by Winnebago Industries
Detailed data title: Automotive recals issued by Winnebago Industries
Source: US DOT
See what else correlates with Automotive recalls issued by Winnebago Industries

Correlation r = 0.9293056 (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 = 0.8636088 (Coefficient of determination)
This means 86.4% of the change in the one variable (i.e., Automotive recalls issued by Winnebago Industries) is predictable based on the change in the other (i.e., Votes for Libertarian Senators in Utah) over the 6 years from 1976 through 2018.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.0073. 0.0073199021974514310000000000
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 0.73% of random cases. Said differently, if you correlated 137 random variables Which I absolutely did.
with the same 5 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 5 because we have two variables measured over a period of 6 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.

[ 0.48, 0.99 ] 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.
197619861992200020062018
Votes for Libertarian Senators in Utah (Total votes)302630231434110394442827607
Automotive recalls issued by Winnebago Industries (Recalls)235348




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. Very low n: There are not many data points included in this analysis. Even if the p-value is high, we should be suspicious of using so few datapoints in a correlation.




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([3026,3023,14341,10394,4428,27607,])
array_2 = np.array([2,3,5,3,4,8,])
array_1_name = "Votes for Libertarian Senators in Utah"
array_2_name = "Automotive recalls issued by Winnebago Industries"

# 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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You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

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."

When spoken, my last name is pronounced "vegan," like I don't eat meat.

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Correlation ID: 4928 · Black Variable ID: 26322 · Red Variable ID: 1130
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