Spurious correlation #1,825 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Associates degrees awarded in Military technologies and the second variable is Automotive recalls issued by Chrysler. The chart goes from 2011 to 2021, and the two variables track closely in value over that time.

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Associates degrees awarded in Military technologies and the second variable is Automotive recalls issued by Chrysler. The chart goes from 2011 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As more people became knowledgeable about military technologies, there was a surge in creative DIY modifications to Chrysler vehicles, leading to unexpected malfunctions and prompting a higher number of recalls. From attempting to install top-secret missile guidance systems in minivans to retrofitting tanks with luxurious heated seats, the intersection of military and automotive expertise created a combustible mix of innovation and chaos on the roads.

^{Show image generation prompt} Model: dalle-3
Prompt: [ A photo-realistic image ] Depict a well-lit, spacious college auditorium filled with graduates dressed in their academic regalia. The students are proudly holding up their newly awarded Associates degrees in Military Technologies and Applied Sciences, each with a distinct look of accomplishment on their faces. The auditorium is filled with a sense of pride and achievement. In the background, a line of Chrysler cars is seen in the parking lot, awaiting inspection following the announcement of automotive recalls. The contrast between the celebratory atmosphere inside the auditorium and the practical concerns outside creates a compelling visual narrative. 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: Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler. 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 photo-realistic image inspired by bauhaus Data cyber art Surrealism Concept art
ChatGPT: A photo-realistic image

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler together. Keep the description simple.
ChatGPT: In a spacious college auditorium, a group of students proudly hold up their newly awarded Associates degrees in Military Technologies and Applied Sciences. Nearby, in the parking lot, a line of Chrysler cars awaits inspection following the announcement of automotive recalls.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ A photo-realistic image ] and depicting this scene: In a spacious college auditorium, a group of students proudly hold up their newly awarded Associates degrees in Military Technologies and Applied Sciences. Nearby, in the parking lot, a line of Chrysler cars awaits inspection following the announcement of automotive recalls. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ A photo-realistic image ] Depict a well-lit, spacious college auditorium filled with graduates dressed in their academic regalia. The students are proudly holding up their newly awarded Associates degrees in Military Technologies and Applied Sciences, each with a distinct look of accomplishment on their faces. The auditorium is filled with a sense of pride and achievement. In the background, a line of Chrysler cars is seen in the parking lot, awaiting inspection following the announcement of automotive recalls. The contrast between the celebratory atmosphere inside the auditorium and the practical concerns outside creates a compelling visual narrative.

*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.
^{Show prompt for explanation} 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 Associates degrees awarded in Military technologies and applied sciences caused Automotive recalls issued by Chrysler to increase.

AI academic paper

(Because p < 0.01)

Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls

The Journal of Technological Eccentricities

Jan 2024

Reminder: This paper is AI-generated. Not real!

^{Show prompt used to generate this paper} 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 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 Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler. 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
"Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls"

[[ABSTRACT]]
This paper presents the results of an in-depth analysis of the correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Drawing data from the National Center for Education Statistics and the U.S. Department of Transportation, we rigorously examined the relationship between these seemingly disparate fields, seeking to shed light on any unexpected connections. Utilizing statistical analysis, we found a remarkably high correlation coefficient of 0.8185230 and p < 0.01 for the years 2011 to 2021, indicating a strong association between the two variables. Our findings not only provide an intriguing revelation but also pose intriguing implications for both the academic and automotive industries.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Introduction
The world of academic research often leads us down unexpected and unconventional paths, and this study is certainly no exception. While the link between military technology and automotive engineering may not be immediately apparent, our investigation delves into the curious correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. As we embark on this scientific journey, we must remain open-minded and prepared for the unforeseen twists and turns that analysis of such unexpected variables can yield.
Our interest was piqued by the notion that seemingly disparate fields could be interconnected in ways previously unexplored. For as long as academic research has been conducted, scholars have endeavored to uncover hidden relationships and uncover unforeseen patterns. In this realm, truth is often stranger than fiction, much like data distributions in a right-skewed distribution (*cue the uproarious laughter of statisticians*).
The founding fathers of the scientific method, such as Sir Isaac Newton and Galileo Galilei, would surely be amused by the attempt to establish a correlation between military technology education and automotive mishaps. Indeed, this pursuit captures the spirit of scientific inquiry - to go where the data leads, regardless of how whimsical or peculiar the path may seem, and perhaps uncover a gem of insight (*insert a wink and a nod to the scientific community*).
As any seasoned researcher can attest, the journey towards uncovering meaningful insights often involves navigating through a maze of confounding variables and statistical noise. But fear not, dear reader, as we have equipped ourselves with the robust tools of statistical analysis to cut through the murky fog and reveal the light of correlation (*cue the triumphant fanfare of statistical significance*).
Armed with our trusty arsenal of hypotheses, regression analyses, and p-values, we set out to illuminate the interplay between these variables, seeking to uncover any hidden relationships. Little did we know, however, that this particular exploration would take us on a detour through the vibrant landscapes of military academia and the treacherous terrain of automotive engineering.
The enigmatic dance of data points and the curious mating rituals of statistical tests beckon us forth in this investigation, as we strive to unravel the mysteries underlying the surprising association between Military Technologies and Applied Sciences Associate degrees and Chrysler automotive recalls. Who knew that the world of academic research could be such an exhilarating rollercoaster ride? (*insert a cheeky grin and a metaphorical fist pump for dramatic effect*).
In the following sections, we will detail our methodology, present our findings, and delve into the potential implications of our discovery. So, buckle up, fellow researchers, and prepare to journey into the unpredictable realm of research and statistics – where surprises lurk around every corner and where correlation may not always imply causation, but it certainly makes for an intriguing investigation.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The relationship between academic programs and real-world phenomena has long been a topic of interest, and our exploration of the correlation between Associate degrees in Military Technologies and Applied Sciences and Chrysler automotive recalls is no exception. As we embark on this scholarly journey, we engage with a range of literature that sheds light on the unexpected interplay between military education and automotive mishaps.

In "The Rise of the Machines: Military Technologies in the Modern Era," Smith examines the evolution of military technology and its impact on contemporary warfare. While this work primarily focuses on the strategic implications of advancements in military technologies, it offers valuable insights into the intricate complexities of technological innovation. The parallels between military and automotive engineering, albeit unconventional, hint at the potential for underexplored connections in the realm of technological expertise.

Contrasting this serious tone, Doe's "Applied Sciences: A Practical Guide" provides a comprehensive overview of various applied sciences disciplines, including engineering and technology. The practical applications discussed in this work extend beyond the military context, encompassing a wide array of industries. While the focus is not specifically on automotive engineering, the fundamental principles of applied sciences underscore the importance of technical expertise, a theme that resonates with our investigation of automotive recalls.

In a rather unexpected twist, Jones's "The Automotive Chronicles: Tales of Recalls and Repairs" offers a collection of anecdotal narratives centered on automotive mishaps and the subsequent recall processes. While this work falls within the realm of fiction, the humorous and sometimes harrowing accounts of vehicular malfunctions provide a lighthearted, albeit tangential, perspective on the complexities of automotive engineering. The parallels between these whimsical tales and our rigorous statistical analyses may seem dubious at first glance, but they underscore the multifaceted nature of our investigation.

Shifting our focus to the realm of fiction, Asimov's classic science fiction work, "I, Robot," delves into the ethical dilemmas surrounding artificial intelligence and technological advancements. While the narrative is firmly rooted in speculative fiction, the underlying theme of technological complexity and its unanticipated consequences resonates with our exploration of the interplay between military technology education and automotive recalls. After all, who can resist drawing parallels between military robots and automotive engineering blunders?

Much like navigating the complexities of statistical analysis, the board game "Risk" offers a playful analogy for the unforeseen challenges and strategic decision-making inherent in our research. As we roll the proverbial dice and maneuver through the intricacies of data interpretation, the parallels between this classic game and our quest for correlation become increasingly apparent. Who knew that academic research could have ties to a game of world domination? The unexpected connections continue to emerge.

In the following sections, we will unravel the intricate threads of our analysis, revealing the surprising correlation between seemingly disparate fields. As we unravel this scholarly tapestry, expect to encounter a blend of serious inquiry and offbeat observations, reminiscent of the unpredictable nature of our interdisciplinary investigation. So, fasten your seatbelts, fellow scholars, and prepare for a literary rollercoaster ride through the unconventional corridors of academic exploration.

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 Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler. 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 National Center for Education Statistics and US DOT . You used data from 2011 to 2021

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
"Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls"

[[ABSTRACT]]
This paper presents the results of an in-depth analysis of the correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Drawing data from the National Center for Education Statistics and the U.S. Department of Transportation, we rigorously examined the relationship between these seemingly disparate fields, seeking to shed light on any unexpected connections. Utilizing statistical analysis, we found a remarkably high correlation coefficient of 0.8185230 and p < 0.01 for the years 2011 to 2021, indicating a strong association between the two variables. Our findings not only provide an intriguing revelation but also pose intriguing implications for both the academic and automotive industries.

[[INTRODUCTION]]
Introduction
The world of academic research often leads us down unexpected and unconventional paths, and this study is certainly no exception. While the link between military technology and automotive engineering may not be immediately apparent, our investigation delves into the curious correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. As we embark on this scientific journey, we must remain open-minded and prepared for the unforeseen twists and turns that analysis of such unexpected variables can yield.
Our interest was piqued by the notion that seemingly disparate fields could be interconnected in ways previously unexplored. For as long as academic research has been conducted, scholars have endeavored to uncover hidden relationships and uncover unforeseen patterns. In this realm, truth is often stranger than fiction, much like data distributions in a right-skewed distribution (*cue the uproarious laughter of statisticians*).
The founding fathers of the scientific method, such as Sir Isaac Newton and Galileo Galilei, would surely be amused by the attempt to establish a correlation between military technology education and automotive mishaps. Indeed, this pursuit captures the spirit of scientific inquiry - to go where the data leads, regardless of how whimsical or peculiar the path may seem, and perhaps uncover a gem of insight (*insert a wink and a nod to the scientific community*).
As any seasoned researcher can attest, the journey towards uncovering meaningful insights often involves navigating through a maze of confounding variables and statistical noise. But fear not, dear reader, as we have equipped ourselves with the robust tools of statistical analysis to cut through the murky fog and reveal the light of correlation (*cue the triumphant fanfare of statistical significance*).
Armed with our trusty arsenal of hypotheses, regression analyses, and p-values, we set out to illuminate the interplay between these variables, seeking to uncover any hidden relationships. Little did we know, however, that this particular exploration would take us on a detour through the vibrant landscapes of military academia and the treacherous terrain of automotive engineering.
The enigmatic dance of data points and the curious mating rituals of statistical tests beckon us forth in this investigation, as we strive to unravel the mysteries underlying the surprising association between Military Technologies and Applied Sciences Associate degrees and Chrysler automotive recalls. Who knew that the world of academic research could be such an exhilarating rollercoaster ride? (*insert a cheeky grin and a metaphorical fist pump for dramatic effect*).
In the following sections, we will detail our methodology, present our findings, and delve into the potential implications of our discovery. So, buckle up, fellow researchers, and prepare to journey into the unpredictable realm of research and statistics – where surprises lurk around every corner and where correlation may not always imply causation, but it certainly makes for an intriguing investigation.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

Sample Selection
Our research team embarked on a quest to comprehensively collect data on Associate degrees awarded in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler. The National Center for Education Statistics served as our trusty guide in obtaining information on the number of Associate degrees conferred in the aforementioned field. Meanwhile, the U.S. Department of Transportation’s recalls database provided the rugged terrain across which we navigated to gather data on automotive recalls by Chrysler. We carefully treaded through the digital wilderness from 2011 to 2021, avoiding the treacherous pitfalls of erroneous data and the Sirens’ call of spurious correlations.

Merging Data Streams
Once we had corralled the requisite data, our valiant researchers tapped into the dauntless power of data integration. We skillfully melded the two datasets, leveraging the arcane arts of database management to synthesize a cohesive repository of knowledge. Our efforts to weave together these disparate threads of information were akin to the meticulous craftsmanship of a master seamstress, stitching together the fabric of our study with precision and finesse.

Data Analysis
With our repository of merged data standing as a formidable edifice of information, we called upon the ancient rites of statistical analysis to discern any underlying patterns or relationships. Through the solemn incantations of correlation analysis, we sought to reveal the mystical bonds that might exist between the confounding variables of military technology education and automotive recalls. Armed with the venerable tools of regression analysis and hypothesis testing, we ventured into the labyrinthine depths of statistical significance, determined to uncover any trace of correlation amidst the noise of data.

Statistical Incantations
As the incantations of p-values and correlation coefficients echoed through the hallowed halls of our research lab, we diligently scrutinized the entrails of our dataset in search of meaning. Upon calculating the correlation coefficient and p-value, we awaited the portentous verdict to emerge from the statistical cauldron with bated breath. Lo and behold, the p-value shimmered before us, indicating a significance level less than 0.01, casting a radiant glow of statistical significance upon our discovery. The correlation coefficient stood steadfast at a remarkable 0.8185230, a beacon of strength illuminating the shadowy realm of data associations.

Robustness Checks
In our relentless pursuit of scientific rigor, we subjected our findings to the crucible of robustness checks. With precision and vigilance, we interrogated our results from multiple angles, challenging their fortitude in the face of sensitivity analyses and alternative model specifications. Our commitment to fortifying the strength of our findings against the winds of skepticism bore testament to the resilience of our methodological approach.

Institutional Review Board (IRB) Approval
Prior to embarking on this scholarly odyssey, our research activities received the venerable blessing of the Institutional Review Board (IRB). Upholding the sacred code of ethical research and the protection of human subjects, we sought the righteous approval of the IRB to ensure that our pursuit of knowledge adhered to the noble principles of research ethics.

In Conclusion...
With our methodological journey cast in the annals of academic lore, our endeavor to dissect the enigmatic relationship between Military Technologies and Applied Sciences Associate degrees and Chrysler automotive recalls stands as a testament to the adventurous spirit of scientific inquiry. As we wade through the murky waters of hypothesis testing and regression analyses, we do so with a sense of whimsy and wonder, ever ready to embrace the uncanny realm of unexpected insights and peculiar discoveries.

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 Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler. 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 National Center for Education Statistics and US DOT .

For the time period 2011 to 2021, you found a correlation 0.8185230, r-squared of 0.6699800, 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]]
"Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls"

[[ABSTRACT]]
This paper presents the results of an in-depth analysis of the correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Drawing data from the National Center for Education Statistics and the U.S. Department of Transportation, we rigorously examined the relationship between these seemingly disparate fields, seeking to shed light on any unexpected connections. Utilizing statistical analysis, we found a remarkably high correlation coefficient of 0.8185230 and p < 0.01 for the years 2011 to 2021, indicating a strong association between the two variables. Our findings not only provide an intriguing revelation but also pose intriguing implications for both the academic and automotive industries.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Introduction
The world of academic research often leads us down unexpected and unconventional paths, and this study is certainly no exception. While the link between military technology and automotive engineering may not be immediately apparent, our investigation delves into the curious correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. As we embark on this scientific journey, we must remain open-minded and prepared for the unforeseen twists and turns that analysis of such unexpected variables can yield.
Our interest was piqued by the notion that seemingly disparate fields could be interconnected in ways previously unexplored. For as long as academic research has been conducted, scholars have endeavored to uncover hidden relationships and uncover unforeseen patterns. In this realm, truth is often stranger than fiction, much like data distributions in a right-skewed distribution (*cue the uproarious laughter of statisticians*).
The founding fathers of the scientific method, such as Sir Isaac Newton and Galileo Galilei, would surely be amused by the attempt to establish a correlation between military technology education and automotive mishaps. Indeed, this pursuit captures the spirit of scientific inquiry - to go where the data leads, regardless of how whimsical or peculiar the path may seem, and perhaps uncover a gem of insight (*insert a wink and a nod to the scientific community*).
As any seasoned researcher can attest, the journey towards uncovering meaningful insights often involves navigating through a maze of confounding variables and statistical noise. But fear not, dear reader, as we have equipped ourselves with the robust tools of statistical analysis to cut through the murky fog and reveal the light of correlation (*cue the triumphant fanfare of statistical significance*).
Armed with our trusty arsenal of hypotheses, regression analyses, and p-values, we set out to illuminate the interplay between these variables, seeking to uncover any hidden relationships. Little did we know, however, that this particular exploration would take us on a detour through the vibrant landscapes of military academia and the treacherous terrain of automotive engineering.
The enigmatic dance of data points and the curious mating rituals of statistical tests beckon us forth in this investigation, as we strive to unravel the mysteries underlying the surprising association between Military Technologies and Applied Sciences Associate degrees and Chrysler automotive recalls. Who knew that the world of academic research could be such an exhilarating rollercoaster ride? (*insert a cheeky grin and a metaphorical fist pump for dramatic effect*).
In the following sections, we will detail our methodology, present our findings, and delve into the potential implications of our discovery. So, buckle up, fellow researchers, and prepare to journey into the unpredictable realm of research and statistics – where surprises lurk around every corner and where correlation may not always imply causation, but it certainly makes for an intriguing investigation.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The analysis of the data revealed a strong positive correlation between the number of Associate degrees awarded in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Over the period of 2011 to 2021, we found a correlation coefficient of 0.8185230, indicating a robust relationship between these seemingly unrelated variables.

The calculated value of r-squared was 0.6699800, suggesting that approximately 66.998% of the variability in automotive recalls issued by Chrysler can be explained by the number of Associate degrees awarded in Military Technologies and Applied Sciences. One might say that the association between the two variables is not just a fluke, but rather a statistically significant phenomenon worthy of attention.

In statistical terms, the p-value was found to be less than 0.01, signaling a high level of confidence in the relationship observed. This suggests that the likelihood of observing such a strong correlation purely by chance is less than 1%, which certainly raises eyebrows and compels further scrutiny.

Fig. 1 presents a visual representation of the relationship between Associate degrees awarded in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler. The scatterplot vividly illustrates the tight cluster of data points, reinforcing the compelling nature of the correlation. One might even say that the data points are so close, they seem to be carpooling together on the highway of statistical significance.

The results of our analysis are not only surprising but also provoke a deep sense of curiosity and interest, much like stumbling upon a hidden treasure in a field of data. It goes to show that in the realm of research, the most captivating discoveries often stem from the most unexpected sources, much like finding a pearl in an oyster - you never know what unexpected gems may lie within seemingly ordinary data.

These findings raise intriguing questions about the underlying mechanisms driving this correlation and warrant further investigation into the potential factors at play. Although correlation does not imply causation, the robust statistical evidence presented here opens the door to a realm of speculation and further inquiry, akin to finding a mysterious clue in a Sherlock Holmes novel.

In conclusion, the results of our analysis not only showcase a significant correlation between Associate degrees in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler but also highlight the delightful surprises that await researchers in the ever-enigmatic world of data analysis. This unexpected connection between seemingly unrelated fields is a testament to the mysteries that lie beneath the surface of statistical relationships and reminds us that, in the words of Albert Einstein, "The most beautiful thing we can experience is the mysterious. It is the source of all true art and science."

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 Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler. 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]]
"Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls"

[[ABSTRACT]]
This paper presents the results of an in-depth analysis of the correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Drawing data from the National Center for Education Statistics and the U.S. Department of Transportation, we rigorously examined the relationship between these seemingly disparate fields, seeking to shed light on any unexpected connections. Utilizing statistical analysis, we found a remarkably high correlation coefficient of 0.8185230 and p < 0.01 for the years 2011 to 2021, indicating a strong association between the two variables. Our findings not only provide an intriguing revelation but also pose intriguing implications for both the academic and automotive industries.

[[LITERATURE REVIEW]]
The relationship between academic programs and real-world phenomena has long been a topic of interest, and our exploration of the correlation between Associate degrees in Military Technologies and Applied Sciences and Chrysler automotive recalls is no exception. As we embark on this scholarly journey, we engage with a range of literature that sheds light on the unexpected interplay between military education and automotive mishaps.
In "The Rise of the Machines: Military Technologies in the Modern Era," Smith examines the evolution of military technology and its impact on contemporary warfare. While this work primarily focuses on the strategic implications of advancements in military technologies, it offers valuable insights into the intricate complexities of technological innovation. The parallels between military and automotive engineering, albeit unconventional, hint at the potential for underexplored connections in the realm of technological expertise.
Contrasting this serious tone, Doe's "Applied Sciences: A Practical Guide" provides a comprehensive overview of various applied sciences disciplines, including engineering and technology. The practical applications discussed in this work extend beyond the military context, encompassing a wide array of industries. While the focus is not specifically on automotive engineering, the fundamental principles of applied sciences underscore the importance of technical expertise, a theme that resonates with our investigation of automotive recalls.
In a rather unexpected twist, Jones's "The Automotive Chronicles: Tales of Recalls and Repairs" offers a collection of anecdotal narratives centered on automotive mishaps and the subsequent recall processes. While this work falls within the realm of fiction, the humorous and sometimes harrowing accounts of vehicular malfunctions provide a lighthearted, albeit tangential, perspective on the complexities of automotive engineering. The parallels between these whimsical tales and our rigorous statistical analyses may seem dubious at first glance, but they underscore the multifaceted nature of our investigation.
Shifting our focus to the realm of fiction, Asimov's classic science fiction work, "I, Robot," delves into the ethical dilemmas surrounding artificial intelligence and technological advancements. While the narrative is firmly rooted in speculative fiction, the underlying theme of technological complexity and its unanticipated consequences resonates with our exploration of the interplay between military technology education and automotive recalls. After all, who can resist drawing parallels between military robots and automotive engineering blunders?
Much like navigating the complexities of statistical analysis, the board game "Risk" offers a playful analogy for the unforeseen challenges and strategic decision-making inherent in our research. As we roll the proverbial dice and maneuver through the intricacies of data interpretation, the parallels between this classic game and our quest for correlation become increasingly apparent. Who knew that academic research could have ties to a game of world domination? The unexpected connections continue to emerge.
In the following sections, we will unravel the intricate threads of our analysis, revealing the surprising correlation between seemingly disparate fields. As we unravel this scholarly tapestry, expect to encounter a blend of serious inquiry and offbeat observations, reminiscent of the unpredictable nature of our interdisciplinary investigation. So, fasten your seatbelts, fellow scholars, and prepare for a literary rollercoaster ride through the unconventional corridors of academic exploration.

[[RESULTS]]
The analysis of the data revealed a strong positive correlation between the number of Associate degrees awarded in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Over the period of 2011 to 2021, we found a correlation coefficient of 0.8185230, indicating a robust relationship between these seemingly unrelated variables.
The calculated value of r-squared was 0.6699800, suggesting that approximately 66.998% of the variability in automotive recalls issued by Chrysler can be explained by the number of Associate degrees awarded in Military Technologies and Applied Sciences. One might say that the association between the two variables is not just a fluke, but rather a statistically significant phenomenon worthy of attention.
In statistical terms, the p-value was found to be less than 0.01, signaling a high level of confidence in the relationship observed. This suggests that the likelihood of observing such a strong correlation purely by chance is less than 1%, which certainly raises eyebrows and compels further scrutiny.
Fig. 1 presents a visual representation of the relationship between Associate degrees awarded in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler. The scatterplot vividly illustrates the tight cluster of data points, reinforcing the compelling nature of the correlation. One might even say that the data points are so close, they seem to be carpooling together on the highway of statistical significance.
The results of our analysis are not only surprising but also provoke a deep sense of curiosity and interest, much like stumbling upon a hidden treasure in a field of data. It goes to show that in the realm of research, the most captivating discoveries often stem from the most unexpected sources, much like finding a pearl in an oyster - you never know what unexpected gems may lie within seemingly ordinary data.
These findings raise intriguing questions about the underlying mechanisms driving this correlation and warrant further investigation into the potential factors at play. Although correlation does not imply causation, the robust statistical evidence presented here opens the door to a realm of speculation and further inquiry, akin to finding a mysterious clue in a Sherlock Holmes novel.
In conclusion, the results of our analysis not only showcase a significant correlation between Associate degrees in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler but also highlight the delightful surprises that await researchers in the ever-enigmatic world of data analysis. This unexpected connection between seemingly unrelated fields is a testament to the mysteries that lie beneath the surface of statistical relationships and reminds us that, in the words of Albert Einstein, "The most beautiful thing we can experience is the mysterious. It is the source of all true art and science."

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

The findings of our study illuminate a surprising connection between the realms of military technology education and automotive engineering mishaps, offering a unique perspective on the intersections of academic programs and real-world outcomes. Our results lend empirical support to the notion that behind every quirky statistic lies a captivating narrative, akin to stumbling upon a hidden treasure map in a sea of data.

Drawing on the lighthearted yet substantive literature reviewed, we find a delightful resonance with our discoveries. Just as Asimov's "I, Robot" contemplates the ethical dilemmas of artificial intelligence, our investigation prompts reflection on the unanticipated consequences of expertise in military technologies and applied sciences. The parallels between military robots and automotive engineering blunders have perhaps mystified even the most seasoned analysts, much like finding a hidden easter egg in a labyrinthine statistical model.

The eerily tight cluster of data points in our scatterplot (Fig. 1) serves as a visual testament to the palpable relationship between Associate degrees in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler. One could almost envision the data points engaging in a synchronized dance, choreographed by the rhythms of statistical significance – a whimsical image within the otherwise sober realm of quantitative analysis.

The robust correlation coefficient and p-value underscore the substantive nature of the observed relationship, prompting a realization that statistical phenomena can indeed possess a certain flair for the dramatic. After all, the likelihood of stumbling upon such a remarkable correlation purely by chance is less than 1%, perhaps evoking the allure of a rare celestial event in the world of data exploration.

In the spirit of unraveling the mysteries of our findings, we must acknowledge that correlation does not necessarily imply causation. However, our results beckon forth a sense of intrepid curiosity, akin to embarking on an investigative journey with the ever-curious Sherlock Holmes. The statistical conundrum we have unearthed beckons for further scrutiny, much like discovering a cryptic puzzle eagerly awaiting the touch of an inquisitive mind.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft 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 Associates degrees awarded in Military technologies and applied sciences and Automotive recalls issued by Chrysler. 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]]
"Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls"

[[ABSTRACT]]
This paper presents the results of an in-depth analysis of the correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Drawing data from the National Center for Education Statistics and the U.S. Department of Transportation, we rigorously examined the relationship between these seemingly disparate fields, seeking to shed light on any unexpected connections. Utilizing statistical analysis, we found a remarkably high correlation coefficient of 0.8185230 and p < 0.01 for the years 2011 to 2021, indicating a strong association between the two variables. Our findings not only provide an intriguing revelation but also pose intriguing implications for both the academic and automotive industries.

[[INTRDUCTION]]
Introduction
The world of academic research often leads us down unexpected and unconventional paths, and this study is certainly no exception. While the link between military technology and automotive engineering may not be immediately apparent, our investigation delves into the curious correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. As we embark on this scientific journey, we must remain open-minded and prepared for the unforeseen twists and turns that analysis of such unexpected variables can yield.
Our interest was piqued by the notion that seemingly disparate fields could be interconnected in ways previously unexplored. For as long as academic research has been conducted, scholars have endeavored to uncover hidden relationships and uncover unforeseen patterns. In this realm, truth is often stranger than fiction, much like data distributions in a right-skewed distribution (*cue the uproarious laughter of statisticians*).
The founding fathers of the scientific method, such as Sir Isaac Newton and Galileo Galilei, would surely be amused by the attempt to establish a correlation between military technology education and automotive mishaps. Indeed, this pursuit captures the spirit of scientific inquiry - to go where the data leads, regardless of how whimsical or peculiar the path may seem, and perhaps uncover a gem of insight (*insert a wink and a nod to the scientific community*).
As any seasoned researcher can attest, the journey towards uncovering meaningful insights often involves navigating through a maze of confounding variables and statistical noise. But fear not, dear reader, as we have equipped ourselves with the robust tools of statistical analysis to cut through the murky fog and reveal the light of correlation (*cue the triumphant fanfare of statistical significance*).
Armed with our trusty arsenal of hypotheses, regression analyses, and p-values, we set out to illuminate the interplay between these variables, seeking to uncover any hidden relationships. Little did we know, however, that this particular exploration would take us on a detour through the vibrant landscapes of military academia and the treacherous terrain of automotive engineering.
The enigmatic dance of data points and the curious mating rituals of statistical tests beckon us forth in this investigation, as we strive to unravel the mysteries underlying the surprising association between Military Technologies and Applied Sciences Associate degrees and Chrysler automotive recalls. Who knew that the world of academic research could be such an exhilarating rollercoaster ride? (*insert a cheeky grin and a metaphorical fist pump for dramatic effect*).
In the following sections, we will detail our methodology, present our findings, and delve into the potential implications of our discovery. So, buckle up, fellow researchers, and prepare to journey into the unpredictable realm of research and statistics – where surprises lurk around every corner and where correlation may not always imply causation, but it certainly makes for an intriguing investigation.

[[RESULTS]]
The analysis of the data revealed a strong positive correlation between the number of Associate degrees awarded in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Over the period of 2011 to 2021, we found a correlation coefficient of 0.8185230, indicating a robust relationship between these seemingly unrelated variables.
The calculated value of r-squared was 0.6699800, suggesting that approximately 66.998% of the variability in automotive recalls issued by Chrysler can be explained by the number of Associate degrees awarded in Military Technologies and Applied Sciences. One might say that the association between the two variables is not just a fluke, but rather a statistically significant phenomenon worthy of attention.
In statistical terms, the p-value was found to be less than 0.01, signaling a high level of confidence in the relationship observed. This suggests that the likelihood of observing such a strong correlation purely by chance is less than 1%, which certainly raises eyebrows and compels further scrutiny.
Fig. 1 presents a visual representation of the relationship between Associate degrees awarded in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler. The scatterplot vividly illustrates the tight cluster of data points, reinforcing the compelling nature of the correlation. One might even say that the data points are so close, they seem to be carpooling together on the highway of statistical significance.
The results of our analysis are not only surprising but also provoke a deep sense of curiosity and interest, much like stumbling upon a hidden treasure in a field of data. It goes to show that in the realm of research, the most captivating discoveries often stem from the most unexpected sources, much like finding a pearl in an oyster - you never know what unexpected gems may lie within seemingly ordinary data.
These findings raise intriguing questions about the underlying mechanisms driving this correlation and warrant further investigation into the potential factors at play. Although correlation does not imply causation, the robust statistical evidence presented here opens the door to a realm of speculation and further inquiry, akin to finding a mysterious clue in a Sherlock Holmes novel.
In conclusion, the results of our analysis not only showcase a significant correlation between Associate degrees in Military Technologies and Applied Sciences and automotive recalls issued by Chrysler but also highlight the delightful surprises that await researchers in the ever-enigmatic world of data analysis. This unexpected connection between seemingly unrelated fields is a testament to the mysteries that lie beneath the surface of statistical relationships and reminds us that, in the words of Albert Einstein, "The most beautiful thing we can experience is the mysterious. It is the source of all true art and science."

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In summation, our research has comically connected the dots between Associate degrees in Military Technologies and Applied Sciences and Chrysler automotive recalls. The statistical evidence leaves us with raised eyebrows and a sense of wonder, akin to stumbling upon a well-hidden Easter egg in a video game. However, correlation does not imply causation, and it's as clear as a perfectly polished windshield that further investigation is unnecessary in this delightfully unexpected realm. It seems we've uncovered all the chuckles and curiosities that need to be revealed in this lovably quirky connection between military academia and automotive mishaps.

And thus, we propose that future studies focus on more conventional research paths, unless, of course, you're up for a wild and whimsical ride through the uncharted territories of academic investigation. After all, as Dr. Seuss eloquently put it, "Sometimes the questions are complicated and the answers are simple." In this case, the questions were unexpected, and the answers were delightfully amusing. But for now, let's bid a fond farewell to these peculiar pairings and revel in the quirky charm they've brought to our scientific escapades.

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 Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Technological Eccentricities

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 Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls. Respond only with the name of a fictional organization.

ChatGPT:

The Consortium for Advanced Military Technology Studies (CAMTS)

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 Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls with an abstract of This paper presents the results of an in-depth analysis of the correlation between the awarding of Associate degrees in Military Technologies and Applied Sciences and the frequency of automotive recalls issued by Chrysler. Drawing data from the National Center for Education Statistics and the U.S. Department of Transportation, we rigorously examined the relationship between these seemingly disparate fields, seeking to shed light on any unexpected connections. Utilizing statistical analysis, we found a remarkably high correlation coefficient of 0.8185230 and p < 0.01 for the years 2011 to 2021, indicating a strong association between the two variables. Our findings not only provide an intriguing revelation but also pose intriguing implications for both the academic and automotive industries.

ChatGPT:

"military technology associate degrees", "applied sciences associate degrees", "Chrysler automotive recalls", "correlation between military technology education and automotive recalls", "National Center for Education Statistics", "U.S. Department of Transportation data analysis", "statistical analysis of education and automotive industry correlation", "unexpected connections in field correlations", "academic and automotive industry implications"

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

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Data details

Associates degrees awarded in Military technologies
Detailed data title: Associate's degrees conferred by postsecondary institutions with a field of study of Military technologies and applied sciences
Source: National Center for Education Statistics
See what else correlates with Associates degrees awarded in Military technologies

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

Correlation r = 0.8185230 (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 = 0.6699800 (Coefficient of determination)
This means 67% of the change in the one variable (i.e., Automotive recalls issued by Chrysler) is predictable based on the change in the other (i.e., Associates degrees awarded in Military technologies) over the 11 years from 2011 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00207.^Show 0.0020666917427491420000000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme.^Note 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 0.82 in 0.207% of random cases. Said differently, if you correlated 484 random variables^Note Which I absolutely did.
with the same 10 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 10 because we have two variables measured over a period of 11 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.

[ 0.43, 0.95 ] 95% correlation confidence interval (using the Fisher z-transformation)
^{Read more about the confidence interval} 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: ^Note 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.

	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021
Associates degrees awarded in Military technologies (Degrees awarded)	856	986	1002	1084	1229	1047	1093	1226	1202	992	1106
Automotive recalls issued by Chrysler (Recalls)	8	13	36	36	43	47	34	46	44	27	38

Why this works

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.
Lack of causal connection: There is probably^Note 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.
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^Note 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.
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. ^Note 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. ^{Show the steps to do this.} 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([856,986,1002,1084,1229,1047,1093,1226,1202,992,1106,])
array_2 = np.array([8,13,36,36,43,47,34,46,44,27,38,])
array_1_name = "Associates degrees awarded in Military technologies"
array_2_name = "Automotive recalls issued by Chrysler"

# 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)

Reuseable content

You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. ^Note Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

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

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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

Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.

Download images for these variables:

High resolution line chart ^Note The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.

If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
Portable line chart (png), optimized for mobile
Line chart for only Associates degrees awarded in Military technologies
Line chart for only Automotive recalls issued by Chrysler
AI-generated correlation image
The spurious research paper: Driving Forces: The Surprisingly High Correlation Between Military Technology and Applied Sciences Associate Degrees and Chrysler Automotive Recalls

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Correlation ID: 1825 · Black Variable ID: 1245 · Red Variable ID: 1119


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