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Spurious correlation #4,823 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Yogurt consumption and the second variable is Votes for the Republican Presidential candidate in West Virginia.  The chart goes from 1990 to 2020, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The active cultures in the yogurt inadvertently began spreading a pro-Republican message, creating a new form of grassroots campaigning. As yogurt sales soared, so did support for the Republican candidate, proving that in the world of politics, you can't underestimate the power of dairy persuasion. It was udderly unexpected!

Model: dalle-3
Prompt: Generate an image in the style of Cubism depicting a bustling farmer's market in West Virginia. In the foreground, show a diverse crowd of people eagerly enjoying yogurt, their faces fragmented into geometric shapes. The yogurt cups should feature slogans supporting the Republican Presidential candidate, and the crowd should be buzzing with excitement. In the background, depict a large banner with rising votes for the candidate. Show the market stall selling yogurt prominently, capturing the lively atmosphere and the political buzz. 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: Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. 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: Voxel art a meme Glitch art Cubism Realistic
ChatGPT: Cubism

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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia, in the following situation: The active cultures in the yogurt inadvertently began spreading a pro-Republican message, creating a new form of grassroots campaigning. As yogurt sales soared, so did support for the Republican candidate, proving that in the world of politics, you can't underestimate the power of dairy persuasion. It was udderly unexpected!. Keep the description simple.
ChatGPT: A bustling farmer's market in West Virginia where people are seen eagerly enjoying yogurt while a large banner in the background shows rising votes for the Republican Presidential candidate. The yogurt cups feature slogans supporting the candidate, and the crowd is buzzing with excitement as they indulge in their dairy treats and discuss their support for the candidate.

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: [ Cubism ] and depicting this scene: A bustling farmer's market in West Virginia where people are seen eagerly enjoying yogurt while a large banner in the background shows rising votes for the Republican Presidential candidate. The yogurt cups feature slogans supporting the candidate, and the crowd is buzzing with excitement as they indulge in their dairy treats and discuss their support for the candidate. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image in the style of Cubism depicting a bustling farmer's market in West Virginia. In the foreground, show a diverse crowd of people eagerly enjoying yogurt, their faces fragmented into geometric shapes. The yogurt cups should feature slogans supporting the Republican Presidential candidate, and the crowd should be buzzing with excitement. In the background, depict a large banner with rising votes for the candidate. Show the market stall selling yogurt prominently, capturing the lively atmosphere and the political buzz.

*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 Yogurt consumption caused Votes for the Republican Presidential candidate in West Virginia to increase.

AI academic paper

(Because p < 0.01)
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

The Journal of Dairy Dynamics

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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. Make lots of jokes, goofy observations, and puns.

Rhyme words in the title.

Your research team used data from USDA and MIT Election Data and Science Lab, Harvard Dataverse to assess this nagging question. You found a correlation coefficient of 0.9252699 and p < 0.01 for 1990 to 2020.

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]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.


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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. Make lots of jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
Introduction

Yogurt, the humble dairy product that has captivated the taste buds of millions, has long been cherished for its creamy texture and tangy flavor. But could this beloved probiotic treat hold the hidden power to sway political allegiances? In our case study of West Virginia, we embark on a journey through the nutritional and political landscapes, aiming to unravel the enigmatic connection between yogurt consumption and votes for the Republican presidential candidate.

As researchers, we were initially drawn to this peculiar topic by a combination of curiosity, a dash of whimsy, and perhaps a sprinkle of dairy-induced delirium. After all, who could resist the temptation to delve into a world where yogurt and politics collide, creating a canvas of intrigue and speculation? Our investigation, supported by data from the USDA, MIT Election Data and Science Lab, and Harvard Dataverse, unveils a correlation so compelling that it may have you questioning whether it's all just a whimsical "dairy tale".

The state of West Virginia, with its serene mountains and winding rivers, provides a fitting backdrop for our exploration. With a rich history and a diverse population, it offers a glimpse into the tapestry of America's political fabric. While one may assume that the dairy aisles of grocery stores are far removed from the ballot boxes, our findings challenge such assumptions and reveal a correlation coefficient that beckons us to question the role of yogurt in shaping political preferences. Indeed, it's an unexpected pairing – yogurt and the Republican vote – but as they say, truth is often stranger than fiction.

So, brace yourself for an academic adventure that explores the intersection of dairy delights and democratic decisions. We assure you, this investigation is no mere flight of fancy – it's a rigorous examination of the "culture" of yogurt consumption and its potential influence on political leanings. As we peel back the layers of this "dairy tale", be prepared to confront questions that may have you pondering the deeper implications of your next spoonful of probiotic goodness. And fear not, dear reader, for we promise that no yogurt cups were harmed in the making of this research – a testament to our commitment to both scientific inquiry and dairy diplomacy.

In the chapters that follow, we will delve into the methodology, data analysis, and, of course, the tantalizing findings that promise to add a touch of "culture" to the discourse on political behavior. Let's embark on this savory, yet unexpected, journey through the yogurt-filled landscape of West Virginia's political terrain.


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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. Make lots of jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Introduction
Yogurt, the humble dairy product that has captivated the taste buds of millions, has long been cherished for its creamy texture and tangy flavor. But could this beloved probiotic treat hold the hidden power to sway political allegiances? In our case study of West Virginia, we embark on a journey through the nutritional and political landscapes, aiming to unravel the enigmatic connection between yogurt consumption and votes for the Republican presidential candidate.
As researchers, we were initially drawn to this peculiar topic by a combination of curiosity, a dash of whimsy, and perhaps a sprinkle of dairy-induced delirium. After all, who could resist the temptation to delve into a world where yogurt and politics collide, creating a canvas of intrigue and speculation? Our investigation, supported by data from the USDA, MIT Election Data and Science Lab, and Harvard Dataverse, unveils a correlation so compelling that it may have you questioning whether it's all just a whimsical "dairy tale".
The state of West Virginia, with its serene mountains and winding rivers, provides a fitting backdrop for our exploration. With a rich history and a diverse population, it offers a glimpse into the tapestry of America's political fabric. While one may assume that the dairy aisles of grocery stores are far removed from the ballot boxes, our findings challenge such assumptions and reveal a correlation coefficient that beckons us to question the role of yogurt in shaping political preferences. Indeed, it's an unexpected pairing – yogurt and the Republican vote – but as they say, truth is often stranger than fiction.
So, brace yourself for an academic adventure that explores the intersection of dairy delights and democratic decisions. We assure you, this investigation is no mere flight of fancy – it's a rigorous examination of the "culture" of yogurt consumption and its potential influence on political leanings. As we peel back the layers of this "dairy tale", be prepared to confront questions that may have you pondering the deeper implications of your next spoonful of probiotic goodness. And fear not, dear reader, for we promise that no yogurt cups were harmed in the making of this research – a testament to our commitment to both scientific inquiry and dairy diplomacy.
In the chapters that follow, we will delve into the methodology, data analysis, and, of course, the tantalizing findings that promise to add a touch of "culture" to the discourse on political behavior. Let's embark on this savory, yet unexpected, journey through the yogurt-filled landscape of West Virginia's political terrain.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The nexus between yogurt consumption and political allegiance is not merely a dalliance of dairy delirium, but a subject that has piqued the curiosity of researchers from various academic domains. Smith et al. in "Yogurt Yields: Exploring the Intersection of Dairy and Democracy" and Doe's comprehensive work "The Curious Case of Yogurt and Republican Votes" provide seminal investigations into this unconventional association. Their rigorous analyses lay the groundwork for unraveling the enigmatic link between yogurt gobbling and Republican vote wobbling in West Virginia.

Turning to non-fiction accounts, Pollan's "The Omnivore's Dilemma" and Nestle's "Food Politics: How the Food Industry Influences Nutrition and Health" offer intriguing insights into the intricate dynamics of food consumption and its impact on societal phenomena. As we traverse the landscape of dietary choices and political inclinations, these works serve as compass points, guiding us through the labyrinthine interplay of tastes and votes.

Venturing into the realm of fiction, Orwell's "Animal Farm" and Atwood's "The Handmaid's Tale" beckon us to contemplate the allegorical dimensions of political symbolism, albeit in settings far removed from dairy aisles and ballot boxes. Such literary forays remind us that truth often mirrors fiction, and that the whims of politics can manifest in the unlikeliest of places – perhaps even in the creamy confines of a yogurt cup.

Humbly acknowledging the diverse sources that inform our inquiry, we must confess to an unconventional approach to literature review – one that shuns the confines of traditional journals and scholarly tomes. For, in our relentless pursuit of unearthing the unexpected, we sought enlightenment in the most unassuming of places: the hallowed halls of grocery store aisles, where the backs of yogurt containers and the labels of probiotic supplements regaled us with tales of nutrition and, unsuspectingly, electoral proclivities.

Thus, we extend our gratitude to the scholarly pursuits that paved the way for our investigation, while acknowledging the whimsical detours that enriched our academic sojourn. With a spoonful of humor and a dollop of irreverence, we stand poised to present the findings of our unorthodox yet illuminating exploration – a saga that promises to demystify the "culture" of yogurt consumption and its potential influence on political leanings.


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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. 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 MIT Election Data and Science Lab, Harvard Dataverse . You used data from 1990 to 2020

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]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

[[INTRODUCTION]]
Introduction
Yogurt, the humble dairy product that has captivated the taste buds of millions, has long been cherished for its creamy texture and tangy flavor. But could this beloved probiotic treat hold the hidden power to sway political allegiances? In our case study of West Virginia, we embark on a journey through the nutritional and political landscapes, aiming to unravel the enigmatic connection between yogurt consumption and votes for the Republican presidential candidate.
As researchers, we were initially drawn to this peculiar topic by a combination of curiosity, a dash of whimsy, and perhaps a sprinkle of dairy-induced delirium. After all, who could resist the temptation to delve into a world where yogurt and politics collide, creating a canvas of intrigue and speculation? Our investigation, supported by data from the USDA, MIT Election Data and Science Lab, and Harvard Dataverse, unveils a correlation so compelling that it may have you questioning whether it's all just a whimsical "dairy tale".
The state of West Virginia, with its serene mountains and winding rivers, provides a fitting backdrop for our exploration. With a rich history and a diverse population, it offers a glimpse into the tapestry of America's political fabric. While one may assume that the dairy aisles of grocery stores are far removed from the ballot boxes, our findings challenge such assumptions and reveal a correlation coefficient that beckons us to question the role of yogurt in shaping political preferences. Indeed, it's an unexpected pairing – yogurt and the Republican vote – but as they say, truth is often stranger than fiction.
So, brace yourself for an academic adventure that explores the intersection of dairy delights and democratic decisions. We assure you, this investigation is no mere flight of fancy – it's a rigorous examination of the "culture" of yogurt consumption and its potential influence on political leanings. As we peel back the layers of this "dairy tale", be prepared to confront questions that may have you pondering the deeper implications of your next spoonful of probiotic goodness. And fear not, dear reader, for we promise that no yogurt cups were harmed in the making of this research – a testament to our commitment to both scientific inquiry and dairy diplomacy.
In the chapters that follow, we will delve into the methodology, data analysis, and, of course, the tantalizing findings that promise to add a touch of "culture" to the discourse on political behavior. Let's embark on this savory, yet unexpected, journey through the yogurt-filled landscape of West Virginia's political terrain.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

The methodology employed in this study aimed to navigate the labyrinth of data analysis in a manner as smooth and creamy as a spoonful of Greek yogurt. Our research team utilized a combination of quantitative analysis and a sprinkle of statistical magic to unearth the potential connection between yogurt consumption and votes for the Republican presidential candidate in West Virginia.

Data Collection:
To construct our dataset, we embarked on a virtual treasure hunt across the digital expanse of the internet, with a magnifying glass in one hand and a spoonful of yogurt in the other. We predominantly sourced our data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, profusely thanking the digital deities for such bountiful resources. We gathered information spanning the years 1990 to 2020, ensuring a comprehensive examination of the yogurt-fed political landscape in West Virginia.

Yogurt Consumption Measurement:
Quantifying yogurt consumption proved to be as challenging as trying to contain a dollop of vanilla yogurt on a turbulent journey. Therefore, we devised a cunning plan to estimate yogurt intake based on per capita yogurt sales, production figures, and consumption trends. We also factored in the proliferation of frozen yogurt establishments and the burgeoning popularity of probiotic-laden yogurt drinks, acknowledging the diverse ways in which yogurt has infiltrated the palates of the West Virginian populace.

Voting Behavior Data:
In the realm of voting behavior data, we harnessed the electoral troves from the MIT Election Data and Science Lab, capturing the electoral fervor of West Virginians as they cast their ballots in favor of the Republican presidential candidate. We also took into account demographic variables, socioeconomic indicators, and political landscapes to ensure a robust analysis that transcends mere milky correlations.

Statistical Analysis:
Ah, statistical analysis – the bread and butter of any research endeavor, or in our case, the yogurt and granola. Our approach involved employing advanced statistical methods, including correlation analysis, regression models, and perhaps a touch of wishful thinking. We calculated correlation coefficients, p-values, and confidence intervals with mathematical precision, akin to crafting the perfect yogurt parfait with just the right balance of fruit and crunch.

Robustness Checks:
To ensure the robustness of our findings, we performed sensitivity analyses and robustness checks, akin to scrutinizing a batch of yogurt for its texture and tanginess. We meticulously tested different specifications and model assumptions, validating our results to withstand the scrutiny of the most discerning palates within the scientific community.

Ethical Considerations:
As diligent researchers, we meticulously adhered to ethical guidelines, ensuring the utmost respect for data privacy and integrity. Furthermore, we reaffirm that no yogurt cups were harmed, manipulated, or coerced in any manner throughout the course of this study, upholding the fundamental principles of dairy diplomacy.

In conclusion, the methodology employed in this study embodied a fusion of scientific rigor, statistical acrobatics, and a whimsical reverence for the world of dairy delights. In the next section, we embark on a flavorful journey through the analysis of our findings, uncovering the intriguing correlations that tantalize the taste buds of academic inquiry. So, grab your spoons and prepare for a creamy confluence of data exploration and statistical revelations – this is no ordinary "yogurt research," but a dairy-infused odyssey through the political palates of West Virginia.


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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. 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 MIT Election Data and Science Lab, Harvard Dataverse .

For the time period 1990 to 2020, you found a correlation 0.9252699, r-squared of 0.8561243, 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]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Introduction
Yogurt, the humble dairy product that has captivated the taste buds of millions, has long been cherished for its creamy texture and tangy flavor. But could this beloved probiotic treat hold the hidden power to sway political allegiances? In our case study of West Virginia, we embark on a journey through the nutritional and political landscapes, aiming to unravel the enigmatic connection between yogurt consumption and votes for the Republican presidential candidate.
As researchers, we were initially drawn to this peculiar topic by a combination of curiosity, a dash of whimsy, and perhaps a sprinkle of dairy-induced delirium. After all, who could resist the temptation to delve into a world where yogurt and politics collide, creating a canvas of intrigue and speculation? Our investigation, supported by data from the USDA, MIT Election Data and Science Lab, and Harvard Dataverse, unveils a correlation so compelling that it may have you questioning whether it's all just a whimsical "dairy tale".
The state of West Virginia, with its serene mountains and winding rivers, provides a fitting backdrop for our exploration. With a rich history and a diverse population, it offers a glimpse into the tapestry of America's political fabric. While one may assume that the dairy aisles of grocery stores are far removed from the ballot boxes, our findings challenge such assumptions and reveal a correlation coefficient that beckons us to question the role of yogurt in shaping political preferences. Indeed, it's an unexpected pairing – yogurt and the Republican vote – but as they say, truth is often stranger than fiction.
So, brace yourself for an academic adventure that explores the intersection of dairy delights and democratic decisions. We assure you, this investigation is no mere flight of fancy – it's a rigorous examination of the "culture" of yogurt consumption and its potential influence on political leanings. As we peel back the layers of this "dairy tale", be prepared to confront questions that may have you pondering the deeper implications of your next spoonful of probiotic goodness. And fear not, dear reader, for we promise that no yogurt cups were harmed in the making of this research – a testament to our commitment to both scientific inquiry and dairy diplomacy.
In the chapters that follow, we will delve into the methodology, data analysis, and, of course, the tantalizing findings that promise to add a touch of "culture" to the discourse on political behavior. Let's embark on this savory, yet unexpected, journey through the yogurt-filled landscape of West Virginia's political terrain.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data on yogurt consumption and votes for the Republican presidential candidate in West Virginia yielded some truly "gouda" (or should we say "yogur-tastic"?) results. The correlation coefficient of 0.9252699 indicated a remarkably strong positive relationship between these seemingly unrelated variables. In other words, as yogurt consumption increased, so did the likelihood of voting for the Republican candidate. It seems that the power of probiotics may extend beyond the digestive system and into the realm of political allegiance!

Furthermore, the r-squared value of 0.8561243 suggested that a substantial proportion of the variability in Republican votes can be explained by changes in yogurt consumption. This finding left us in a state of utter "dairy-wonder", as we marveled at the unexpected convergence of dairy indulgence and political preferences.

The p-value being less than 0.01 added an extra layer of assurance to our findings, indicating that this correlation is highly unlikely to be a fluke. Indeed, the probability of such a strong relationship occurring by chance is lower than the likelihood of finding a moldy yogurt cup at the back of the refrigerator – in other words, highly improbable!

To visually represent this striking correlation, we present Fig. 1, a scatterplot that showcases the pronounced association between yogurt consumption and votes for the Republican presidential candidate in West Virginia. The data points align themselves in a way that might make one wonder if there's some sort of "yogurt-fueled magnetic force" at play here.

In summary, our exploration into the dairy-laden world of yogurt consumption and political preference in West Virginia has uncovered a relationship that is as "udderly" surprising as it is thought-provoking. The evidence suggests that perhaps there's more to yogurt than meets the spoon – it could very well be a symbol of political affiliation, a potential "culture" marker, or just a delightful coincidence that adds a whimsical twist to the political palate.


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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. 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]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

[[LITERATURE REVIEW]]
The nexus between yogurt consumption and political allegiance is not merely a dalliance of dairy delirium, but a subject that has piqued the curiosity of researchers from various academic domains. Smith et al. in "Yogurt Yields: Exploring the Intersection of Dairy and Democracy" and Doe's comprehensive work "The Curious Case of Yogurt and Republican Votes" provide seminal investigations into this unconventional association. Their rigorous analyses lay the groundwork for unraveling the enigmatic link between yogurt gobbling and Republican vote wobbling in West Virginia.
Turning to non-fiction accounts, Pollan's "The Omnivore's Dilemma" and Nestle's "Food Politics: How the Food Industry Influences Nutrition and Health" offer intriguing insights into the intricate dynamics of food consumption and its impact on societal phenomena. As we traverse the landscape of dietary choices and political inclinations, these works serve as compass points, guiding us through the labyrinthine interplay of tastes and votes.
Venturing into the realm of fiction, Orwell's "Animal Farm" and Atwood's "The Handmaid's Tale" beckon us to contemplate the allegorical dimensions of political symbolism, albeit in settings far removed from dairy aisles and ballot boxes. Such literary forays remind us that truth often mirrors fiction, and that the whims of politics can manifest in the unlikeliest of places – perhaps even in the creamy confines of a yogurt cup.
Humbly acknowledging the diverse sources that inform our inquiry, we must confess to an unconventional approach to literature review – one that shuns the confines of traditional journals and scholarly tomes. For, in our relentless pursuit of unearthing the unexpected, we sought enlightenment in the most unassuming of places: the hallowed halls of grocery store aisles, where the backs of yogurt containers and the labels of probiotic supplements regaled us with tales of nutrition and, unsuspectingly, electoral proclivities.
Thus, we extend our gratitude to the scholarly pursuits that paved the way for our investigation, while acknowledging the whimsical detours that enriched our academic sojourn. With a spoonful of humor and a dollop of irreverence, we stand poised to present the findings of our unorthodox yet illuminating exploration – a saga that promises to demystify the "culture" of yogurt consumption and its potential influence on political leanings.

[[RESULTS]]
The analysis of the data on yogurt consumption and votes for the Republican presidential candidate in West Virginia yielded some truly "gouda" (or should we say "yogur-tastic"?) results. The correlation coefficient of 0.9252699 indicated a remarkably strong positive relationship between these seemingly unrelated variables. In other words, as yogurt consumption increased, so did the likelihood of voting for the Republican candidate. It seems that the power of probiotics may extend beyond the digestive system and into the realm of political allegiance!
Furthermore, the r-squared value of 0.8561243 suggested that a substantial proportion of the variability in Republican votes can be explained by changes in yogurt consumption. This finding left us in a state of utter "dairy-wonder", as we marveled at the unexpected convergence of dairy indulgence and political preferences.
The p-value being less than 0.01 added an extra layer of assurance to our findings, indicating that this correlation is highly unlikely to be a fluke. Indeed, the probability of such a strong relationship occurring by chance is lower than the likelihood of finding a moldy yogurt cup at the back of the refrigerator – in other words, highly improbable!
To visually represent this striking correlation, we present Fig. 1, a scatterplot that showcases the pronounced association between yogurt consumption and votes for the Republican presidential candidate in West Virginia. The data points align themselves in a way that might make one wonder if there's some sort of "yogurt-fueled magnetic force" at play here.
In summary, our exploration into the dairy-laden world of yogurt consumption and political preference in West Virginia has uncovered a relationship that is as "udderly" surprising as it is thought-provoking. The evidence suggests that perhaps there's more to yogurt than meets the spoon – it could very well be a symbol of political affiliation, a potential "culture" marker, or just a delightful coincidence that adds a whimsical twist to the political palate.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our findings not only affirm the captivating conjectures of previous research but also shed additional light on the curiously captivating correlation between yogurt consumption and votes for the Republican presidential candidate in West Virginia. The robust correlation coefficient of 0.9252699 in our study mirrors the enchanting insights of Smith et al. and Doe, who, much like bold dairy explorers, ventured into the uncharted territories of yogurt-yielding conservatism. Just as the cream rises to the top, their seminal investigations laid a foundation for our own dairy-drenched odyssey, ultimately leading to the unearthing of this compelling association.

Now, let's milk every drop of meaning from these results. The significant positive relationship between yogurt intake and Republican votes, as evidenced by the prodigious r-squared value of 0.8561243, aptly aligns with the savory suppositions of food politics luminaries Pollan and Nestle. Their astute analyses, much like a well-aged cheddar, have matured to resonate with the findings of our study, revealing the intricate interplay of food preferences and political proclivities that permeate the fabric of societal choices.

In a stroke of serendipity, our results not only bolster the aforementioned theories but also add a flavorful twist to the narrative. The p-value, akin to the cream of the statistical crop, reinforces the robustness of our findings, demonstrating a probability so low that it puts the odds of stumbling upon a finicky feline in a dairy farm to shame. These results, while humorous in their own right, underscore the serious implications of the association uncovered.

As we contemplate the implications of our study, one cannot help but reflect on the whimsical detours that have enriched our academic sojourn, much like the surprising paths traversed by Orwell's "Animal Farm" and Atwood's "The Handmaid's Tale." Our unconventional approach to literature review, often laden with puns and jest, has not only lightened the scholarly burden but also led us to remarkable revelations that transcend the confines of traditional research.

Our exploration has thus unveiled a tale that stretches beyond the confines of statistical analyses and dietary preferences – a tale that challenges conventional notions, delights the academic palate, and leaves us pondering the profound influence of yogurt on the political landscape of West Virginia. So, as we bid adieu to this portion of our dairy-infused odyssey, let us savor the lingering flavor of this unexpected connection and eagerly anticipate the revelations that await in the next leg of our scholarly journey.


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 Yogurt consumption and Votes for the Republican Presidential candidate in West Virginia. 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]]
Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia

[[ABSTRACT]]
In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

[[INTRDUCTION]]
Introduction
Yogurt, the humble dairy product that has captivated the taste buds of millions, has long been cherished for its creamy texture and tangy flavor. But could this beloved probiotic treat hold the hidden power to sway political allegiances? In our case study of West Virginia, we embark on a journey through the nutritional and political landscapes, aiming to unravel the enigmatic connection between yogurt consumption and votes for the Republican presidential candidate.
As researchers, we were initially drawn to this peculiar topic by a combination of curiosity, a dash of whimsy, and perhaps a sprinkle of dairy-induced delirium. After all, who could resist the temptation to delve into a world where yogurt and politics collide, creating a canvas of intrigue and speculation? Our investigation, supported by data from the USDA, MIT Election Data and Science Lab, and Harvard Dataverse, unveils a correlation so compelling that it may have you questioning whether it's all just a whimsical "dairy tale".
The state of West Virginia, with its serene mountains and winding rivers, provides a fitting backdrop for our exploration. With a rich history and a diverse population, it offers a glimpse into the tapestry of America's political fabric. While one may assume that the dairy aisles of grocery stores are far removed from the ballot boxes, our findings challenge such assumptions and reveal a correlation coefficient that beckons us to question the role of yogurt in shaping political preferences. Indeed, it's an unexpected pairing – yogurt and the Republican vote – but as they say, truth is often stranger than fiction.
So, brace yourself for an academic adventure that explores the intersection of dairy delights and democratic decisions. We assure you, this investigation is no mere flight of fancy – it's a rigorous examination of the "culture" of yogurt consumption and its potential influence on political leanings. As we peel back the layers of this "dairy tale", be prepared to confront questions that may have you pondering the deeper implications of your next spoonful of probiotic goodness. And fear not, dear reader, for we promise that no yogurt cups were harmed in the making of this research – a testament to our commitment to both scientific inquiry and dairy diplomacy.
In the chapters that follow, we will delve into the methodology, data analysis, and, of course, the tantalizing findings that promise to add a touch of "culture" to the discourse on political behavior. Let's embark on this savory, yet unexpected, journey through the yogurt-filled landscape of West Virginia's political terrain.

[[RESULTS]]
The analysis of the data on yogurt consumption and votes for the Republican presidential candidate in West Virginia yielded some truly "gouda" (or should we say "yogur-tastic"?) results. The correlation coefficient of 0.9252699 indicated a remarkably strong positive relationship between these seemingly unrelated variables. In other words, as yogurt consumption increased, so did the likelihood of voting for the Republican candidate. It seems that the power of probiotics may extend beyond the digestive system and into the realm of political allegiance!
Furthermore, the r-squared value of 0.8561243 suggested that a substantial proportion of the variability in Republican votes can be explained by changes in yogurt consumption. This finding left us in a state of utter "dairy-wonder", as we marveled at the unexpected convergence of dairy indulgence and political preferences.
The p-value being less than 0.01 added an extra layer of assurance to our findings, indicating that this correlation is highly unlikely to be a fluke. Indeed, the probability of such a strong relationship occurring by chance is lower than the likelihood of finding a moldy yogurt cup at the back of the refrigerator – in other words, highly improbable!
To visually represent this striking correlation, we present Fig. 1, a scatterplot that showcases the pronounced association between yogurt consumption and votes for the Republican presidential candidate in West Virginia. The data points align themselves in a way that might make one wonder if there's some sort of "yogurt-fueled magnetic force" at play here.
In summary, our exploration into the dairy-laden world of yogurt consumption and political preference in West Virginia has uncovered a relationship that is as "udderly" surprising as it is thought-provoking. The evidence suggests that perhaps there's more to yogurt than meets the spoon – it could very well be a symbol of political affiliation, a potential "culture" marker, or just a delightful coincidence that adds a whimsical twist to the political palate.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our findings have churned out some unexpected connections between yogurt consumption and political preferences in West Virginia. Who knew that the creamy, tangy world of yogurt could have an influence on which way the political wind blows? It seems that the power of probiotics extends beyond the realm of gut health and delves into the realm of political allegiances, creating a "culture" clash in the most unexpected of places.

As we wrap up this "dairy tale" of research, we can't help but marvel at the "yogur-tastic" correlation we've uncovered. It's as if each spoonful of yogurt could be a tiny ballot in disguise, silently casting its influence on the political landscape.

So, what do our findings mean for the future of political campaigning? Perhaps candidates will start trading in their campaign buttons for tiny yogurt cups, wooing voters with promises of creamy goodness and tangy persuasion. Or maybe West Virginia will embrace a new state slogan: "Wild and Wonderful, Where Yogurt and Politics Collide!"

In any case, it's clear that there's something delightfully unexpected about the relationship between yogurt and Republican votes in West Virginia. Our research has certainly added a heaping scoop of "culture" to the political discourse, proving that truth is indeed "stranger than fiction" – particularly when it involves dairy products and voting habits.

And with that, we declare that no more research is needed in this "yogur-tastic" area. After all, when the yogurt hits the fan, it's time to scoop up our findings and savor the unexpected "culture" we've uncovered.

No more research is needed – the yogurt has spoken!

Spoonfuls of wisdom and political pondering await in the creamy world of West Virginia's political palette. Cheers to the Power of Probiotics!


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 Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Dairy Dynamics


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 Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia. Respond only with the name of a fictional organization.

ChatGPT:

National Institute for Food and Political Science Studies


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 Yogurt Gobbling and Republican Vote Wobbling: A Dairy Tale of West Virginia with an abstract of In this paper, we dive into the creamy world of yogurt consumption and its potential effect on political preferences, with a focus on votes for the Republican presidential candidate in the scenic state of West Virginia. Utilizing data from the USDA and MIT Election Data and Science Lab, Harvard Dataverse, our research team set out to examine the link between yogurt intake and voting behavior from 1990 to 2020. To our delight, we uncovered a striking correlation coefficient of 0.9252699 and a p-value less than 0.01, suggesting a robust relationship. We promise, this paper is no “hocus pocus” – it’s the real “probiotic” deal! So, prepare to be “cultured” as we unveil the intriguing findings that may have you pondering: is yogurt a symbol of political sourness or just a dairy delicious coincidence? Full disclosure: no yogurt cups were harmed in the making of this research.

ChatGPT:

yogurt consumption, political preferences, Republican presidential candidate, West Virginia, USDA data, MIT Election Data and Science Lab, Harvard Dataverse, correlation coefficient, voting behavior, yogurt intake, p-value, probiotic, dairy consumption, political affiliation

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



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Data details

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

Votes for the Republican Presidential candidate in West Virginia
Detailed data title: Percentage of all votes cast for the Republican Presidential candidate in West Virginia
Source: MIT Election Data and Science Lab, Harvard Dataverse
See what else correlates with Votes for the Republican Presidential candidate in West Virginia

Correlation r = 0.9252699 (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 = 0.8561243 (Coefficient of determination)
This means 85.6% of the change in the one variable (i.e., Votes for the Republican Presidential candidate in West Virginia) is predictable based on the change in the other (i.e., Yogurt consumption) over the 8 years from 1990 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00099. 0.0009857408776685040000000000
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 0.099% of random cases. Said differently, if you correlated 1,014 random variables Which I absolutely did.
with the same 7 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 7 because we have two variables measured over a period of 8 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.

[ 0.63, 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.
19921996200020042008201220162020
Yogurt consumption (Pounds per person)4.45.96.59.211.71413.713.6
Votes for the Republican Presidential candidate in West Virginia (Percentage of votes)35.39336.757451.915256.070755.710362.295868.630668.6316




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([4.4,5.9,6.5,9.2,11.7,14,13.7,13.6,])
array_2 = np.array([35.393,36.7574,51.9152,56.0707,55.7103,62.2958,68.6306,68.6316,])
array_1_name = "Yogurt consumption"
array_2_name = "Votes for the Republican Presidential candidate in West Virginia"

# 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: 4823 · Black Variable ID: 568 · Red Variable ID: 26189
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