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Spurious correlation #4,531 · 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 the Democratic Presidential candidate in Texas and the second variable is Automotive recalls issued by BMW of North America.  The chart goes from 1976 to 2020, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As support for the Democratic candidate surged in Texas, more and more people began using their BMWs to proudly display their political beliefs. The sudden uptick in BMW usage overloaded the vehicles, leading to malfunctions that ultimately prompted BMW of North America to issue a wave of automotive recalls. It seems the road to the White House was also paved with unexpected pit stops for BMW drivers in the Lone Star State!

Model: dalle-3
Prompt: Generate an image that combines a futuristic aesthetic with the following scene: In Texas, a map displays a growing number of votes marked for the Democratic presidential candidate. Simultaneously, within a BMW showroom, a line of cars is tilting to the left, their headlights flickering as if affected by an electrical surge. Mechanics are shown working urgently to address automotive recalls issued by BMW of North America, referring to the issue as the "political power steering problem." 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: Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. 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: a meme Macabre Cyberpunk Futuristic Cyber folk
ChatGPT: Futuristic

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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America, in the following situation: As more people showed support for the Democratic candidate, the "blue wave" energy inadvertently interfered with BMW's electrical systems, causing a surge in automotive malfunctions. The unexpected support for the Democratic candidate shocked BMW of North America, leading to a chain reaction of recalls as the cars experienced a sudden left-leaning tilt, which the company jokingly dubbed the "political power steering issue.". Keep the description simple.
ChatGPT: In Texas, a map shows an increasing number of votes marked for the Democratic presidential candidate. At the same time, a line of BMW cars in a showroom are suddenly tilting to the left, with the headlights flickering as if affected by an electrical surge. Mechanics are working hurriedly to address the automotive recalls issued by BMW of North America, referring to the issue as the "political power steering problem."

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: [ Futuristic ] and depicting this scene: In Texas, a map shows an increasing number of votes marked for the Democratic presidential candidate. At the same time, a line of BMW cars in a showroom are suddenly tilting to the left, with the headlights flickering as if affected by an electrical surge. Mechanics are working hurriedly to address the automotive recalls issued by BMW of North America, referring to the issue as the "political power steering problem." Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image that combines a futuristic aesthetic with the following scene: In Texas, a map displays a growing number of votes marked for the Democratic presidential candidate. Simultaneously, within a BMW showroom, a line of cars is tilting to the left, their headlights flickering as if affected by an electrical surge. Mechanics are shown working urgently to address automotive recalls issued by BMW of North America, referring to the issue as the "political power steering problem."

*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 Votes for the Democrat Presidential candidate in Texas caused Automotive recalls issued by BMW of North America to increase. Make it feel plausible.

AI academic paper

(Because p < 0.01)
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

The Journal of Quirky Connections

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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 0.9493832 and p < 0.01 for 1976 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]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.


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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the political landscape and automotive industry continue to evolve, it has become increasingly important to examine the interplay between seemingly unrelated variables. In this paper, we embark on a whimsical journey through the realm of statistics, politics, and vehicular mishaps to uncover the peculiar connection between votes for the Democrat presidential candidate in Texas and the troublesome automotive recalls issued by BMW of North America. It is a dance of data and variables that promises to tantalize the imagination and intrigue the empirical mind.

The concept of drawing parallels between political behavior and corporate activities may initially seem as incongruous as mixing oil and water, but as our investigation unfolds, it becomes apparent that unexpected connections can arise from the most unlikely pairings. With the precision of a surgeon and the curiosity of a cat, our research team ventured into uncharted statistical territory, armed with an arsenal of data sources and a healthy dose of skepticism. Little did we know that our journey would lead us to the discovery of an astonishing correlation between civic choices and automotive woes.

Our approach to this investigation can be likened to the delicate process of crafting a scientific experiment — meticulously designing, executing, and analyzing to tease out the underlying patterns. As we delved into the depths of election data, automotive records, and enough spreadsheets to make even the most seasoned statistician weep with joy, we encountered numerous quirks, anomalies, and unexpected findings that kept us on the edge of our seats while also raising our eyebrows in disbelief.

The potential implications of our findings stretch beyond the confines of rigorous statistical analysis and into the realm of the absurdly intriguing. After all, who would have thought that the voting behavior of a Texan might hold the key to unraveling the mysteries of automotive recalls? It is a puzzle worthy of the most ardent puzzlers, a riddle wrapped in a statistic, nestled within an enigma of electoral choices and manufacturing mishaps.

So, dear reader, fasten your seatbelts and join us on this scholarly rollercoaster ride as we navigate the convoluted pathways of correlation, causation, and the occasional statistical serendipity. The stage is set for an adventure through the bizarre and the bewildering, where the unlikeliest of connections may just unveil a tantalizing glimpse into the intricate tapestry of human behavior and industrial hiccups.


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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name some cartoons and childrens' shows that you watched that are related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the political landscape and automotive industry continue to evolve, it has become increasingly important to examine the interplay between seemingly unrelated variables. In this paper, we embark on a whimsical journey through the realm of statistics, politics, and vehicular mishaps to uncover the peculiar connection between votes for the Democrat presidential candidate in Texas and the troublesome automotive recalls issued by BMW of North America. It is a dance of data and variables that promises to tantalize the imagination and intrigue the empirical mind.
The concept of drawing parallels between political behavior and corporate activities may initially seem as incongruous as mixing oil and water, but as our investigation unfolds, it becomes apparent that unexpected connections can arise from the most unlikely pairings. With the precision of a surgeon and the curiosity of a cat, our research team ventured into uncharted statistical territory, armed with an arsenal of data sources and a healthy dose of skepticism. Little did we know that our journey would lead us to the discovery of an astonishing correlation between civic choices and automotive woes.
Our approach to this investigation can be likened to the delicate process of crafting a scientific experiment — meticulously designing, executing, and analyzing to tease out the underlying patterns. As we delved into the depths of election data, automotive records, and enough spreadsheets to make even the most seasoned statistician weep with joy, we encountered numerous quirks, anomalies, and unexpected findings that kept us on the edge of our seats while also raising our eyebrows in disbelief.
The potential implications of our findings stretch beyond the confines of rigorous statistical analysis and into the realm of the absurdly intriguing. After all, who would have thought that the voting behavior of a Texan might hold the key to unraveling the mysteries of automotive recalls? It is a puzzle worthy of the most ardent puzzlers, a riddle wrapped in a statistic, nestled within an enigma of electoral choices and manufacturing mishaps.
So, dear reader, fasten your seatbelts and join us on this scholarly rollercoaster ride as we navigate the convoluted pathways of correlation, causation, and the occasional statistical serendipity. The stage is set for an adventure through the bizarre and the bewildering, where the unlikeliest of connections may just unveil a tantalizing glimpse into the intricate tapestry of human behavior and industrial hiccups.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith and Doe (2007) conducted a comprehensive study on the relationship between political voting behavior and corporate anomalies. Their work laid the groundwork for understanding the intricate dance between civic choices and business activities. The authors found that while initial perceptions may suggest an incongruity between the two, deeper investigation often unveils surprising connections that defy conventional wisdom.

Jones (2015) examined the impact of demographic factors on automotive recalls, shedding light on the complexities of consumer preferences and product safety. The study highlighted the need to consider a myriad of variables when addressing issues related to vehicular malfunctions.

In "Book," the authors find lorem and ipsum, revealing thought-provoking insights into the intersection of public opinion and industrial discrepancies. Lorem and ipsum are unexpectedly interwoven, mirroring the intertwining threads of political inclinations and manufacturing mishaps.

As we traverse beyond the academic realm and into works of non-fiction literature, "Unsafe at Any Speed" by Ralph Nader and "Car Trouble" by Robert Goldsborough offer real-world accounts of automotive irregularities, providing a context for the idiosyncrasies of vehicular safety and consumer behavior. While not directly related to the intersection of political voting and automotive recalls, these works serve as a reminder of the ever-present dance between public opinion and product reliability.

On the fictional front, "Drive" by James Sallis and "Crash" by J.G. Ballard present narratives that, while not empirically grounded, weave tales of automotive intrigue and human complexity. These literary endeavors demonstrate that the world of automobiles is not only a canvas for real-life mishaps but also a playground for the imaginative exploration of the human experience in the context of vehicular mishaps.

In a surprising twist, cartoons and children's shows such as "Wacky Races" and "The Magic School Bus" offer their own brand of insight into the world of automotive mayhem. While certainly not academic in nature, these colorful portrayals of vehicular adventures entertain viewers of all ages and provide a lighthearted take on the often-serious business of automotive safety and performance.

The connection between political voting patterns in Texas and the automotive recalls issued by BMW of North America is as unexpected as it is fascinating. As we delve further into the multifaceted tapestry of statistical analysis and consumer behavior, it becomes evident that the landscape is not merely one of numbers and spreadsheets, but rather a rich mosaic of human quirks and unpredictable correlations.


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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 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]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

[[INTRODUCTION]]
As the political landscape and automotive industry continue to evolve, it has become increasingly important to examine the interplay between seemingly unrelated variables. In this paper, we embark on a whimsical journey through the realm of statistics, politics, and vehicular mishaps to uncover the peculiar connection between votes for the Democrat presidential candidate in Texas and the troublesome automotive recalls issued by BMW of North America. It is a dance of data and variables that promises to tantalize the imagination and intrigue the empirical mind.
The concept of drawing parallels between political behavior and corporate activities may initially seem as incongruous as mixing oil and water, but as our investigation unfolds, it becomes apparent that unexpected connections can arise from the most unlikely pairings. With the precision of a surgeon and the curiosity of a cat, our research team ventured into uncharted statistical territory, armed with an arsenal of data sources and a healthy dose of skepticism. Little did we know that our journey would lead us to the discovery of an astonishing correlation between civic choices and automotive woes.
Our approach to this investigation can be likened to the delicate process of crafting a scientific experiment — meticulously designing, executing, and analyzing to tease out the underlying patterns. As we delved into the depths of election data, automotive records, and enough spreadsheets to make even the most seasoned statistician weep with joy, we encountered numerous quirks, anomalies, and unexpected findings that kept us on the edge of our seats while also raising our eyebrows in disbelief.
The potential implications of our findings stretch beyond the confines of rigorous statistical analysis and into the realm of the absurdly intriguing. After all, who would have thought that the voting behavior of a Texan might hold the key to unraveling the mysteries of automotive recalls? It is a puzzle worthy of the most ardent puzzlers, a riddle wrapped in a statistic, nestled within an enigma of electoral choices and manufacturing mishaps.
So, dear reader, fasten your seatbelts and join us on this scholarly rollercoaster ride as we navigate the convoluted pathways of correlation, causation, and the occasional statistical serendipity. The stage is set for an adventure through the bizarre and the bewildering, where the unlikeliest of connections may just unveil a tantalizing glimpse into the intricate tapestry of human behavior and industrial hiccups.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The data utilized in this research endeavor was harvested from an assortment of sources, much like a diligent botanist scouring various climates for a rare species. Our primary sources included the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation. We sought to capture the essence of voting patterns in Texas and the automotive recalls issued by BMW of North America from 1976 to 2020, ensuring that our data net was cast over a wide temporal expanse to capture any undulating trends or intriguing oscillations.

Statistical Analysis:
Once our data trove was secured, we set sail on the tempestuous seas of statistical analysis, navigating through waves of regression, correlation, and various other statistical tests. We employed the mighty Pearson correlation coefficient to discern the strength and direction of the relationship between votes for the Democrat presidential candidate in Texas and the vexatious BMW recalls. With the resolve of a sailor taming the turbulent waves, we also calculated p-values to assess the significance of our findings, making sure to hoist the flag of statistical significance high and proud in the face of uncertainty.

Multiple Regression Model:
In our pursuit of uncovering the intricate dance between voting inclinations and automotive tribulations, we harnessed the power of the multiple regression model. Like a sorcerer conjuring spells to reveal hidden truths, we unleashed an array of independent variables, including historical voting patterns, demographic characteristics, and the whims of automobile fate, to capture the nuanced nuances that contribute to this perplexing relationship. The model was fine-tuned with the precision of a Swiss watchmaker, ensuring that every cog and gear meshed harmoniously in the quest for elucidation.

Control Variables:
To fortify the robustness of our findings, we diligently incorporated control variables such as regional economic indicators, political climate, and the occasional celestial alignment. These additional factors served as the trusty sentinels, warding off lurking confounding variables and ensuring that our results stood tall and resolute in the face of potential statistical turbulence.

Sensitivity Analysis:
In the spirit of thoroughness and a dash of skepticism, we subjected our findings to the rigorous scrutiny of sensitivity analysis. This process resembled a scientific tasting session, where the slightest flavor nuance could alter the entire concoction. Our data underwent meticulous prodding and probing, testing the stability of our conclusions under varying conditions and assumptions, much like a scientist experimenting with the perfect mix of chemicals in the pursuit of alchemical glory.

Ethical Considerations:
Throughout the entire research voyage, we maintained a steadfast commitment to ethical guidelines, ensuring the confidentiality and privacy of the data sources we plundered. Much like gallant knights of the data realm, we upheld the principles of data integrity and academic honesty, safeguarding the sanctity of scholarly pursuits in the murky waters of research.

By the culmination of our unorthodox odyssey through data, statistics, and the peculiar manifestations of human decision-making, we emerged with a set of undeniable insights that have the potential to revolutionize the understanding of consumer behavior and electoral intrigues. Our methodologies, though buoyed by a touch of whimsy and bemusement, served as the stalwart compass guiding us through uncharted statistical territories.


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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 2020, you found a correlation 0.9493832, r-squared of 0.9013284, 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]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the political landscape and automotive industry continue to evolve, it has become increasingly important to examine the interplay between seemingly unrelated variables. In this paper, we embark on a whimsical journey through the realm of statistics, politics, and vehicular mishaps to uncover the peculiar connection between votes for the Democrat presidential candidate in Texas and the troublesome automotive recalls issued by BMW of North America. It is a dance of data and variables that promises to tantalize the imagination and intrigue the empirical mind.
The concept of drawing parallels between political behavior and corporate activities may initially seem as incongruous as mixing oil and water, but as our investigation unfolds, it becomes apparent that unexpected connections can arise from the most unlikely pairings. With the precision of a surgeon and the curiosity of a cat, our research team ventured into uncharted statistical territory, armed with an arsenal of data sources and a healthy dose of skepticism. Little did we know that our journey would lead us to the discovery of an astonishing correlation between civic choices and automotive woes.
Our approach to this investigation can be likened to the delicate process of crafting a scientific experiment — meticulously designing, executing, and analyzing to tease out the underlying patterns. As we delved into the depths of election data, automotive records, and enough spreadsheets to make even the most seasoned statistician weep with joy, we encountered numerous quirks, anomalies, and unexpected findings that kept us on the edge of our seats while also raising our eyebrows in disbelief.
The potential implications of our findings stretch beyond the confines of rigorous statistical analysis and into the realm of the absurdly intriguing. After all, who would have thought that the voting behavior of a Texan might hold the key to unraveling the mysteries of automotive recalls? It is a puzzle worthy of the most ardent puzzlers, a riddle wrapped in a statistic, nestled within an enigma of electoral choices and manufacturing mishaps.
So, dear reader, fasten your seatbelts and join us on this scholarly rollercoaster ride as we navigate the convoluted pathways of correlation, causation, and the occasional statistical serendipity. The stage is set for an adventure through the bizarre and the bewildering, where the unlikeliest of connections may just unveil a tantalizing glimpse into the intricate tapestry of human behavior and industrial hiccups.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the relationship between votes for the Democrat presidential candidate in Texas and automotive recalls issued by BMW of North America yielded some unexpected and intriguing findings. Our research team meticulously combed through the data, conducting rigorous analyses with the precision of a watchmaker and the curiosity of a detective on the trail of an enigmatic culprit.

We found a striking correlation coefficient of 0.9493832 between the two variables, indicating a very strong linear relationship. This degree of correlation would make even the most stoic statistician crack a smile (or perhaps raise an eyebrow in bemusement). The calculated r-squared value of 0.9013284 further underscored the robustness of this association, suggesting that a substantial proportion of the variability in automotive recalls issued by BMW of North America can indeed be explained by the votes for the Democrat presidential candidate in Texas. It's almost as if the networks of data points formed an intricate dance, moving in perfect harmony like a well-rehearsed ballet performance.

With a p-value of less than 0.01, our findings provide compelling evidence to reject the null hypothesis of no correlation between the two variables. This, in turn, raises the possibility that there may be some underlying relationship or mechanism connecting the political preferences of Texans to the frequency of automotive recalls from BMW of North America. It's as though the statistical gods themselves have given us a nudge in the direction of uncovering this intriguing link between the ballot box and the car workshop.

The strong correlation is graphically depicted in Figure 1, a scatterplot that visually encapsulates the remarkably robust relationship between these seemingly disparate phenomena. As one variable tangoes to the left, the other gracefully follows to the right, painting a picture of correlation so vivid that it practically leaps off the page. It's a dance of data points that would make even the most nonchalant observer tap their feet in admiration of the statistical symmetry.

These results not only shed light on the curious connection between political preferences and automotive recalls but also serve as a reminder that in the world of statistical analysis, one must always be prepared for the delightful surprises that lurk behind the columns and rows of data.


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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

[[LITERATURE REVIEW]]
Smith and Doe (2007) conducted a comprehensive study on the relationship between political voting behavior and corporate anomalies. Their work laid the groundwork for understanding the intricate dance between civic choices and business activities. The authors found that while initial perceptions may suggest an incongruity between the two, deeper investigation often unveils surprising connections that defy conventional wisdom.
Jones (2015) examined the impact of demographic factors on automotive recalls, shedding light on the complexities of consumer preferences and product safety. The study highlighted the need to consider a myriad of variables when addressing issues related to vehicular malfunctions.
In "Book," the authors find lorem and ipsum, revealing thought-provoking insights into the intersection of public opinion and industrial discrepancies. Lorem and ipsum are unexpectedly interwoven, mirroring the intertwining threads of political inclinations and manufacturing mishaps.
As we traverse beyond the academic realm and into works of non-fiction literature, "Unsafe at Any Speed" by Ralph Nader and "Car Trouble" by Robert Goldsborough offer real-world accounts of automotive irregularities, providing a context for the idiosyncrasies of vehicular safety and consumer behavior. While not directly related to the intersection of political voting and automotive recalls, these works serve as a reminder of the ever-present dance between public opinion and product reliability.
On the fictional front, "Drive" by James Sallis and "Crash" by J.G. Ballard present narratives that, while not empirically grounded, weave tales of automotive intrigue and human complexity. These literary endeavors demonstrate that the world of automobiles is not only a canvas for real-life mishaps but also a playground for the imaginative exploration of the human experience in the context of vehicular mishaps.
In a surprising twist, cartoons and children's shows such as "Wacky Races" and "The Magic School Bus" offer their own brand of insight into the world of automotive mayhem. While certainly not academic in nature, these colorful portrayals of vehicular adventures entertain viewers of all ages and provide a lighthearted take on the often-serious business of automotive safety and performance.
The connection between political voting patterns in Texas and the automotive recalls issued by BMW of North America is as unexpected as it is fascinating. As we delve further into the multifaceted tapestry of statistical analysis and consumer behavior, it becomes evident that the landscape is not merely one of numbers and spreadsheets, but rather a rich mosaic of human quirks and unpredictable correlations.

[[RESULTS]]
The statistical analysis of the relationship between votes for the Democrat presidential candidate in Texas and automotive recalls issued by BMW of North America yielded some unexpected and intriguing findings. Our research team meticulously combed through the data, conducting rigorous analyses with the precision of a watchmaker and the curiosity of a detective on the trail of an enigmatic culprit.
We found a striking correlation coefficient of 0.9493832 between the two variables, indicating a very strong linear relationship. This degree of correlation would make even the most stoic statistician crack a smile (or perhaps raise an eyebrow in bemusement). The calculated r-squared value of 0.9013284 further underscored the robustness of this association, suggesting that a substantial proportion of the variability in automotive recalls issued by BMW of North America can indeed be explained by the votes for the Democrat presidential candidate in Texas. It's almost as if the networks of data points formed an intricate dance, moving in perfect harmony like a well-rehearsed ballet performance.
With a p-value of less than 0.01, our findings provide compelling evidence to reject the null hypothesis of no correlation between the two variables. This, in turn, raises the possibility that there may be some underlying relationship or mechanism connecting the political preferences of Texans to the frequency of automotive recalls from BMW of North America. It's as though the statistical gods themselves have given us a nudge in the direction of uncovering this intriguing link between the ballot box and the car workshop.
The strong correlation is graphically depicted in Figure 1, a scatterplot that visually encapsulates the remarkably robust relationship between these seemingly disparate phenomena. As one variable tangoes to the left, the other gracefully follows to the right, painting a picture of correlation so vivid that it practically leaps off the page. It's a dance of data points that would make even the most nonchalant observer tap their feet in admiration of the statistical symmetry.
These results not only shed light on the curious connection between political preferences and automotive recalls but also serve as a reminder that in the world of statistical analysis, one must always be prepared for the delightful surprises that lurk behind the columns and rows of data.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of this study provide compelling evidence of a strong association between votes for the Democrat presidential candidate in Texas and automotive recalls issued by BMW of North America. Our findings not only corroborate the prior research on the intricacies of consumer behavior and corporate anomalies, but they also offer an unexpected twist that keeps the scientific tango fascinating and lively.

Building upon the scholarly works that elucidated the enigmatic ties between political choices and business activities, our study presents a remarkably robust correlation coefficient, showcasing a dance between these seemingly dissimilar variables that would make Fred Astaire and Ginger Rogers proud. Just like a well-executed experiment, this connection was both surprising and delightfully harmonious, akin to stumbling upon a proof for a mathematical conjecture during an idle afternoon stroll in the park.

The statistical significance of our findings, with a p-value of less than 0.01, not only rejects the null hypothesis but hints at an underlying mechanism that links the political inclinations of Texans to the automotive woes faced by BMW of North America. It's as if the numbers themselves conspired to perform a scientific magic trick, dazzling us with a statistical sleight of hand that elicits both amazement and intrigue, like witnessing a top hat produce a rabbit during a routine physics lecture.

The visual representation of the correlation in Figure 1 is akin to a work of art, capturing the mesmerizing dance of data points in a manner that would make even the most seasoned statistician appreciate the elegance of statistical symphony. The ballet of variables, twirling and leaping across the scatterplot, paints a picture of correlation so vivid that it practically whispers "the truth is out there" to the inquisitive minds of researchers and observers alike.

As we navigate the realm of statistical analysis and consumer behavior, these results underscore the inherent unpredictability of scientific inquiry, reminding us that amidst the serious pursuit of knowledge, there are always opportunities for unexpected delight and intellectual amusement. This study not only elevates our understanding of venerated statistical associations but also instills a sense of wonder in the quirkiness of human proclivities and industrial caprices.


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 Votes for the Democrat Presidential candidate in Texas and Automotive recalls issued by BMW of North America. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
The Tenuous Tango: Texas Votes and Troublesome BMW Recalls

[[ABSTRACT]]
The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

[[INTRDUCTION]]
As the political landscape and automotive industry continue to evolve, it has become increasingly important to examine the interplay between seemingly unrelated variables. In this paper, we embark on a whimsical journey through the realm of statistics, politics, and vehicular mishaps to uncover the peculiar connection between votes for the Democrat presidential candidate in Texas and the troublesome automotive recalls issued by BMW of North America. It is a dance of data and variables that promises to tantalize the imagination and intrigue the empirical mind.
The concept of drawing parallels between political behavior and corporate activities may initially seem as incongruous as mixing oil and water, but as our investigation unfolds, it becomes apparent that unexpected connections can arise from the most unlikely pairings. With the precision of a surgeon and the curiosity of a cat, our research team ventured into uncharted statistical territory, armed with an arsenal of data sources and a healthy dose of skepticism. Little did we know that our journey would lead us to the discovery of an astonishing correlation between civic choices and automotive woes.
Our approach to this investigation can be likened to the delicate process of crafting a scientific experiment — meticulously designing, executing, and analyzing to tease out the underlying patterns. As we delved into the depths of election data, automotive records, and enough spreadsheets to make even the most seasoned statistician weep with joy, we encountered numerous quirks, anomalies, and unexpected findings that kept us on the edge of our seats while also raising our eyebrows in disbelief.
The potential implications of our findings stretch beyond the confines of rigorous statistical analysis and into the realm of the absurdly intriguing. After all, who would have thought that the voting behavior of a Texan might hold the key to unraveling the mysteries of automotive recalls? It is a puzzle worthy of the most ardent puzzlers, a riddle wrapped in a statistic, nestled within an enigma of electoral choices and manufacturing mishaps.
So, dear reader, fasten your seatbelts and join us on this scholarly rollercoaster ride as we navigate the convoluted pathways of correlation, causation, and the occasional statistical serendipity. The stage is set for an adventure through the bizarre and the bewildering, where the unlikeliest of connections may just unveil a tantalizing glimpse into the intricate tapestry of human behavior and industrial hiccups.

[[RESULTS]]
The statistical analysis of the relationship between votes for the Democrat presidential candidate in Texas and automotive recalls issued by BMW of North America yielded some unexpected and intriguing findings. Our research team meticulously combed through the data, conducting rigorous analyses with the precision of a watchmaker and the curiosity of a detective on the trail of an enigmatic culprit.
We found a striking correlation coefficient of 0.9493832 between the two variables, indicating a very strong linear relationship. This degree of correlation would make even the most stoic statistician crack a smile (or perhaps raise an eyebrow in bemusement). The calculated r-squared value of 0.9013284 further underscored the robustness of this association, suggesting that a substantial proportion of the variability in automotive recalls issued by BMW of North America can indeed be explained by the votes for the Democrat presidential candidate in Texas. It's almost as if the networks of data points formed an intricate dance, moving in perfect harmony like a well-rehearsed ballet performance.
With a p-value of less than 0.01, our findings provide compelling evidence to reject the null hypothesis of no correlation between the two variables. This, in turn, raises the possibility that there may be some underlying relationship or mechanism connecting the political preferences of Texans to the frequency of automotive recalls from BMW of North America. It's as though the statistical gods themselves have given us a nudge in the direction of uncovering this intriguing link between the ballot box and the car workshop.
The strong correlation is graphically depicted in Figure 1, a scatterplot that visually encapsulates the remarkably robust relationship between these seemingly disparate phenomena. As one variable tangoes to the left, the other gracefully follows to the right, painting a picture of correlation so vivid that it practically leaps off the page. It's a dance of data points that would make even the most nonchalant observer tap their feet in admiration of the statistical symmetry.
These results not only shed light on the curious connection between political preferences and automotive recalls but also serve as a reminder that in the world of statistical analysis, one must always be prepared for the delightful surprises that lurk behind the columns and rows of data.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unveiled a curious correlation between votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Like a pair of dancers in perfect rhythm, these seemingly unrelated phenomena have waltzed their way into the spotlight of statistical intrigue. This unexpected tango of variables reminds us that even in the world of empirical inquiry, one must always be open to the whims of statistical serendipity.

The robust correlation coefficient, akin to a sturdy pair of statistical shoes, firmly establishes the strength of the relationship between these two domains. The calculated r-squared value, with all the swagger of a well-tailored suit, elegantly proclaims that a substantial proportion of the variability in BMW recalls can be attributed to the dance of democracy in Texas. Our findings have illuminated a path from the voting booth to the garage, revealing an unanticipated pas de deux that challenges conventional wisdom and tickles the fancy of even the most dour-faced data analyst.

The visual representation in Figure 1, akin to a captivating ballet performance frozen in time, captures the essence of this remarkable correlation. As one variable pirouettes towards the horizon, the other gracefully mirrors its steps, painting a portrait of statistical harmony that would perplex even the most seasoned observer.

In the grand theater of scholarly pursuits, our investigation has added a touch of whimsy to the pursuit of knowledge. It serves as a reminder that in the realm of statistical inquiry, the dance floor of data beckons with unexpected partners and surprising moves. As such, we assert with confidence that no further research in this area is needed. The curtain has fallen on this peculiar liaison between political predilections and automotive mishaps, leaving us with a tale of statistical intrigue and a dash of academic charm.


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 The Tenuous Tango: Texas Votes and Troublesome BMW Recalls. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Connections


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 The Tenuous Tango: Texas Votes and Troublesome BMW Recalls. Respond only with the name of a fictional organization.

ChatGPT:

The Association for Quirky Research 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 The Tenuous Tango: Texas Votes and Troublesome BMW Recalls with an abstract of The connection between political behavior and corporate activities has long been a topic of interest. In this study, we delve into the relationship between the votes for the Democrat presidential candidate in Texas and the automotive recalls issued by BMW of North America. Drawing on data from the MIT Election Data and Science Lab, Harvard Dataverse, and US DOT, our research team explores this unlikely pairing over a span of 44 years, from 1976 to 2020. Through rigorous statistical analysis, we found a notable correlation coefficient of 0.9493832 and a p-value of less than 0.01, indicating a remarkably strong association between these seemingly disparate phenomena. Our findings add a new layer of complexity to understanding consumer behavior and electoral preferences, revealing a connection that was previously overlooked. Amidst the serious business of data analysis, the unexpected relationship between political inclinations and automotive malfunctions makes for an engaging and peculiar investigation into the intersection of public opinion and product safety.

ChatGPT:

"political behavior, corporate activities, Democrat presidential candidate, Texas votes, automotive recalls, BMW of North America, MIT Election Data and Science Lab, Harvard Dataverse, US DOT, 1976-2020, correlation coefficient, consumer behavior, electoral preferences, data analysis, public opinion, product safety"

*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 the Democratic Presidential candidate in Texas
Detailed data title: Total votes cast for the Democrat Presidential candidate in Texas
Source: MIT Election Data and Science Lab, Harvard Dataverse
See what else correlates with Votes for the Democratic Presidential candidate in Texas

Automotive recalls issued by BMW of North America
Detailed data title: Automotive recals issued by BMW of North America
Source: US DOT
See what else correlates with Automotive recalls issued by BMW of North America

Correlation r = 0.9493832 (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 = 0.9013284 (Coefficient of determination)
This means 90.1% of the change in the one variable (i.e., Automotive recalls issued by BMW of North America) is predictable based on the change in the other (i.e., Votes for the Democratic Presidential candidate in Texas) over the 12 years from 1976 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.4E-6. 0.0000024028733885306064000000
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 0.95 in 0.00024% of random cases. Said differently, if you correlated 416,168 random variables You don't actually need 416 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 11 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 11 because we have two variables measured over a period of 12 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.

[ 0.82, 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.
197619801984198819921996200020042008201220162020
Votes for the Democratic Presidential candidate in Texas (Total votes)208232018811501949280235275022818202459680243375028327003528630330812038778705259130
Automotive recalls issued by BMW of North America (Recalls)313352111716151736




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. Confounding variable: 2020 is particularly different from the other years on this graph. Confounding variables (like global pandemics) will cause two variables to look connected when in fact a "sneaky third" variable is influencing both of them behind the scenes.
  5. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. Step 1: Download and install Python on your computer.

Step 2: Open a plaintext editor like Notepad and paste the code below into it.

Step 3: Save the file as "calculate_correlation.py" in a place you will remember, like your desktop. Copy the file location to your clipboard. On Windows, you can right-click the file and click "Properties," and then copy what comes after "Location:" As an example, on my computer the location is "C:\Users\tyler\Desktop"

Step 4: Open a command line window. For example, by pressing start and typing "cmd" and them pressing enter.

Step 5: Install the required modules by typing "pip install numpy", then pressing enter, then typing "pip install scipy", then pressing enter.

Step 6: Navigate to the location where you saved the Python file by using the "cd" command. For example, I would type "cd C:\Users\tyler\Desktop" and push enter.

Step 7: Run the Python script by typing "python calculate_correlation.py"

If you run into any issues, I suggest asking ChatGPT to walk you through installing Python and running the code below on your system. Try this question:

"Walk me through installing Python on my computer to run a script that uses scipy and numpy. Go step-by-step and ask me to confirm before moving on. Start by asking me questions about my operating system so that you know how to proceed. Assume I want the simplest installation with the latest version of Python and that I do not currently have any of the necessary elements installed. Remember to only give me one step per response and confirm I have done it before proceeding."


# These modules make it easier to perform the calculation
import numpy as np
from scipy import stats

# We'll define a function that we can call to return the correlation calculations
def calculate_correlation(array1, array2):

    # Calculate Pearson correlation coefficient and p-value
    correlation, p_value = stats.pearsonr(array1, array2)

    # Calculate R-squared as the square of the correlation coefficient
    r_squared = correlation**2

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([2082320,1881150,1949280,2352750,2281820,2459680,2433750,2832700,3528630,3308120,3877870,5259130,])
array_2 = np.array([3,1,3,3,5,2,11,17,16,15,17,36,])
array_1_name = "Votes for the Democratic Presidential candidate in Texas"
array_2_name = "Automotive recalls issued by BMW of North America"

# 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: 4531 · Black Variable ID: 26034 · Red Variable ID: 1121
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