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Spurious correlation #1,818 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The number of university philosophy and religion teachers in Utah and the second variable is Customer satisfaction with Apple.  The chart goes from 2003 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the number of university philosophy and religion teachers in Utah increased, so did Customer satisfaction with Apple. This is because the deep thinkers pondered the concept of technological existence, leading to a state of zen-like appreciation for all things Apple. Plus, they probably figured out how to turn an iPhone into a modern-day religious artifact. It seems the real answer to finding inner peace was just a Mac software update away.

Model: dalle-3
Prompt: Sure, here's an image generation prompt for DALL-E 3: "A serene Utah university classroom with large windows letting in a flood of natural light. The walls are adorned with minimalist Apple product posters, and in the center, a dynamic philosophy and religion teacher passionately engages a group of attentive students in a lively philosophical discussion. The teacher, with an Apple logo on their laptop, sparks thought-provoking insights and discussions. Outside, an Apple store exudes tranquility, with contented customers engaging in meaningful conversations with staff about the deeper significance behind their technological choices, while peacefully carrying Macbooks and iPhones." 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: The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. 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: Data cyber art Voxel art A scene from Skyrim Futuristic Oragami
ChatGPT: A scene from Skyrim

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 The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple, in the following situation: As the number of university philosophy and religion teachers in Utah fluctuates, so too does customer satisfaction with Apple. This is due to a phenomenon called "iEnlightenment". You see, as more professors discuss the concept of "thinking different", students become more open-minded and contemplative. This leads to a deeper appreciation for the intricate design and profound functionality of Apple products. Additionally, the philosophical debates surrounding existence, reality, and the nature of knowledge prompt individuals to ponder the deep questions of life, such as "Why am I 'apple-solutely' in love with my iPhone?" This heightened introspection and existential exploration ultimately translates to a greater sense of fulfillment and contentment with Apple's technological marvels. It's like the Apple Store becomes a modern-day temple of tech, where customers seek both gadgets and guidance on the path to 'iNirvana'. So, as the saying goes in the tech-savvy philosophical circles of Utah, "A Macbook a day keeps the existential dismay away!". Keep the description simple.
ChatGPT: In an airy Utah university classroom, a group of attentive students engage in a lively philosophical discussion, led by their engaging philosophy and religion teacher. The teacher, with an apple logo on their laptop, inspires the students with thought-provoking insights, while the classroom walls are adorned with Apple product posters. Outside, in an Apple store, contented customers, carrying Macbooks and iPhones, talk to the staff – themselves philosophy enthusiasts – about the deeper meaning behind their technological choices. The store is a tranquil space, filled with the calm musings of reflective individuals, finding serenity and fulfillment in their Apple gadgets.

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 scene from Skyrim ] and depicting this scene: In an airy Utah university classroom, a group of attentive students engage in a lively philosophical discussion, led by their engaging philosophy and religion teacher. The teacher, with an apple logo on their laptop, inspires the students with thought-provoking insights, while the classroom walls are adorned with Apple product posters. Outside, in an Apple store, contented customers, carrying Macbooks and iPhones, talk to the staff – themselves philosophy enthusiasts – about the deeper meaning behind their technological choices. The store is a tranquil space, filled with the calm musings of reflective individuals, finding serenity and fulfillment in their Apple gadgets. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Sure, here's an image generation prompt for DALL-E 3: "A serene Utah university classroom with large windows letting in a flood of natural light. The walls are adorned with minimalist Apple product posters, and in the center, a dynamic philosophy and religion teacher passionately engages a group of attentive students in a lively philosophical discussion. The teacher, with an Apple logo on their laptop, sparks thought-provoking insights and discussions. Outside, an Apple store exudes tranquility, with contented customers engaging in meaningful conversations with staff about the deeper significance behind their technological choices, while peacefully carrying Macbooks and iPhones."

*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 increases in The number of university philosophy and religion teachers in Utah positively influenced Customer satisfaction with Apple. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

The Journal of Techno-Philosophical Studies

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 dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns.

Make the title seem clever.

Your research team used data from Bureau of Larbor Statistics and American Customer Satisfaction Index to assess this nagging question. You found a correlation coefficient of 0.7960451 and p < 0.01 for 2003 to 2021.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The intersection of philosophy and technology has long been a topic of contemplation and conjecture. As two seemingly unrelated domains, one might well ask: what could the world of ancient wisdom and modern gadgets possibly have in common? However, as we embark on this academic escapade, we are compelled to explore the striking correspondence between the number of university philosophy and religion teachers in Utah and the contentment of Apple enthusiasts.

In engaging with this peculiar pairing, we find ourselves venturing beyond the bounds of conventional research. Indeed, this inquiry is no mere exercise in statistical jiggery-pokery; it beckons us to embrace the unorthodox and embark on a scholarly sojourn through the realms of academia and consumer technology. The confluence of these disparate spheres elicits a sense of bemusement tinged with a hint of intrigue, as if Socrates were to philosophize on the nature of touchscreens, or if Descartes were to cogitate on the essence of iCloud storage.

Our investigation is not merely an endeavor in data drudgery, but a quest to illuminate the esoteric interplay between erudition and electronic devices. Thus, we find ourselves compelled to probe the enigmatic connection between the erudite purveyors of ancient wisdom in Utah's halls of higher learning and the discerning individuals who swear allegiance to Apple's sleek and shiny innovations. This unlikely relationship warrants our scrutiny and encourages us to wield the tools of analysis with both precision and a touch of whimsy as we unravel the statistical tapestry that binds these incongruous variables together.

With mirth and measure, we delve into this mysterious nexus, poised to uncover the resonant harmonies between philosophy instructors and the patrons of Apple's wares. Our exploration promises not only to shed light on this delightfully peculiar tie but may also offer a philosophical lens through which to examine the labyrinthine corridors of consumer behavior. Thus, as we embark on this scholarly odyssey, we remain mindful of the adage that "all things are ready, if our minds be so," and we stand ready to traverse the intellectual terrain that lies ahead with a curious blend of rigor and levity.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The intersection of philosophy and technology has long been a topic of contemplation and conjecture. As two seemingly unrelated domains, one might well ask: what could the world of ancient wisdom and modern gadgets possibly have in common? However, as we embark on this academic escapade, we are compelled to explore the striking correspondence between the number of university philosophy and religion teachers in Utah and the contentment of Apple enthusiasts.
In engaging with this peculiar pairing, we find ourselves venturing beyond the bounds of conventional research. Indeed, this inquiry is no mere exercise in statistical jiggery-pokery; it beckons us to embrace the unorthodox and embark on a scholarly sojourn through the realms of academia and consumer technology. The confluence of these disparate spheres elicits a sense of bemusement tinged with a hint of intrigue, as if Socrates were to philosophize on the nature of touchscreens, or if Descartes were to cogitate on the essence of iCloud storage.
Our investigation is not merely an endeavor in data drudgery, but a quest to illuminate the esoteric interplay between erudition and electronic devices. Thus, we find ourselves compelled to probe the enigmatic connection between the erudite purveyors of ancient wisdom in Utah's halls of higher learning and the discerning individuals who swear allegiance to Apple's sleek and shiny innovations. This unlikely relationship warrants our scrutiny and encourages us to wield the tools of analysis with both precision and a touch of whimsy as we unravel the statistical tapestry that binds these incongruous variables together.
With mirth and measure, we delve into this mysterious nexus, poised to uncover the resonant harmonies between philosophy instructors and the patrons of Apple's wares. Our exploration promises not only to shed light on this delightfully peculiar tie but may also offer a philosophical lens through which to examine the labyrinthine corridors of consumer behavior. Thus, as we embark on this scholarly odyssey, we remain mindful of the adage that "all things are ready, if our minds be so," and we stand ready to traverse the intellectual terrain that lies ahead with a curious blend of rigor and levity.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Numerous studies have endeavored to explore the intricate connections between academia and consumer behavior, often yielding surprising and unforeseen revelations. Smith (2013) delved into the depths of philosophical musings in academia, while Doe (2017) interrogated the intricacies of customer satisfaction with technological products. Furthermore, Jones (2019) conducted an extensive analysis on the cultural and societal influences on consumer preferences. However, our investigation into the correlation between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products delves into uncharted territory, beckoning us to traverse the curious pathways of interdisciplinary inquiry.

In "The Philosophy of Technology" by David M. Kaplan, the author expounds upon the profound implications of technological advancements on philosophical discourse, revealing an astonishing intersection between the ancient pursuit of wisdom and the contemporary landscape of innovation. Similarly, in "Religion and the Rise of Consumer Society" by R. W. Fox, the nuanced dynamics of consumer behavior within the context of religious influences are examined, paving the way for a deeper understanding of the idiosyncrasies that underlie consumer satisfaction.

Transitioning into the realm of fiction which seems far removed from scholarly pursuit, "Zen and the Art of Motorcycle Maintenance" by Robert M. Pirsig and "Neuromancer" by William Gibson offer insightful reflections on the juxtaposition of philosophical introspection and technological prowess, providing an oblique yet pertinent perspective on the interplay between intellectual pursuits and consumer predilections.

Moreover, online phenomena such as the "Philosoraptor" meme, featuring a philosophical velociraptor engaged in contemplative inquiries, and the "Apple Fanboy" meme depicting fervent admirers of Apple products, exemplify the intermingling of philosophical whimsy and consumer allegiance in the digital sphere, shedding light on the eccentric confluence of these distinct domains.

Indeed, as we wade through the profundities of this peculiar amalgamation, we must be prepared to encounter unexpected turns and whimsical intersections that defy the traditional boundaries of academic exploration. With that in mind, we endeavor to navigate this uncharted terrain with measured levity, poised to unravel the enigmatic ties that bind the erudite inhabitants of Utah's educational institutions to the ardent devotees of Apple's technological marvels.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Bureau of Larbor Statistics and American Customer Satisfaction Index . You used data from 2003 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]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

[[INTRODUCTION]]
The intersection of philosophy and technology has long been a topic of contemplation and conjecture. As two seemingly unrelated domains, one might well ask: what could the world of ancient wisdom and modern gadgets possibly have in common? However, as we embark on this academic escapade, we are compelled to explore the striking correspondence between the number of university philosophy and religion teachers in Utah and the contentment of Apple enthusiasts.
In engaging with this peculiar pairing, we find ourselves venturing beyond the bounds of conventional research. Indeed, this inquiry is no mere exercise in statistical jiggery-pokery; it beckons us to embrace the unorthodox and embark on a scholarly sojourn through the realms of academia and consumer technology. The confluence of these disparate spheres elicits a sense of bemusement tinged with a hint of intrigue, as if Socrates were to philosophize on the nature of touchscreens, or if Descartes were to cogitate on the essence of iCloud storage.
Our investigation is not merely an endeavor in data drudgery, but a quest to illuminate the esoteric interplay between erudition and electronic devices. Thus, we find ourselves compelled to probe the enigmatic connection between the erudite purveyors of ancient wisdom in Utah's halls of higher learning and the discerning individuals who swear allegiance to Apple's sleek and shiny innovations. This unlikely relationship warrants our scrutiny and encourages us to wield the tools of analysis with both precision and a touch of whimsy as we unravel the statistical tapestry that binds these incongruous variables together.
With mirth and measure, we delve into this mysterious nexus, poised to uncover the resonant harmonies between philosophy instructors and the patrons of Apple's wares. Our exploration promises not only to shed light on this delightfully peculiar tie but may also offer a philosophical lens through which to examine the labyrinthine corridors of consumer behavior. Thus, as we embark on this scholarly odyssey, we remain mindful of the adage that "all things are ready, if our minds be so," and we stand ready to traverse the intellectual terrain that lies ahead with a curious blend of rigor and levity.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To scrutinize the curious connection between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products, we utilized a blend of quantitative techniques and data wrangling wizardry. Our data collection spanned the years 2003 to 2021, drawing primarily from the Bureau of Labor Statistics and the American Customer Satisfaction Index. This assemblage of data allowed us to embark on a statistical safari through the jungle of correlation and regression.

Initially, we undertook the noble task of compiling the number of university philosophy and religion teachers in Utah, employing a mix of web scraping and manual data extraction from university websites and academic administrative records. This pursuit involved the meticulous counting of professorial personnel across institutions, taking care to distinguish between the sage instructors of philosophy and those imparting the teachings of religion.

Simultaneously, we ventured into the domain of consumer satisfaction with Apple products, plumbing the depths of the American Customer Satisfaction Index to extract the relevant satisfaction scores. Here, we faced the enigmatic challenge of navigating through surveys, ratings, and consumer feedback to distill the essence of Apple aficionados' contentment with their technological treasures.

The marriage of these disparate data sources allowed us to forge a connection between the ethereal realms of ancient wisdom and contemporary gadgetry. With our data firmly in hand, we undertook a dance of statistical significance, subjecting our numerical companions to correlation analysis and regression modeling, all within the hallowed confines of R and Python.

Employing the formidable tools of statistical analysis, we calculated Pearson's correlation coefficient to ascertain the strength and direction of the relationship between the number of philosophy and religion teachers in Utah and customer satisfaction with Apple products. Through these calculations, we teased out the tantalizing threads of association, ultimately revealing a correlation coefficient of 0.7960451, a figure that would make even the most revered philosophers raise an eyebrow in bemusement.

In addition, our research journey led us to the testing grounds of p-values, where we set the stage for a veritable tango with statistical significance. With a p-value of less than 0.01, we emerged victorious in our quest to establish the robustness of the observed correlation, firmly planting a flag in the terrain of statistical significance.

Thus, armed with our trusty arsenal of statistical tools and a sprinkle of academic whimsy, we traversed the treacherous terrain of data collection, analysis, and interpretation to unveil the unlikely but compelling bond between the guardians of ancient wisdom in Utah and the devout followers of Apple's technological marvels.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Bureau of Larbor Statistics and American Customer Satisfaction Index .

For the time period 2003 to 2021, you found a correlation 0.7960451, r-squared of 0.6336877, 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]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The intersection of philosophy and technology has long been a topic of contemplation and conjecture. As two seemingly unrelated domains, one might well ask: what could the world of ancient wisdom and modern gadgets possibly have in common? However, as we embark on this academic escapade, we are compelled to explore the striking correspondence between the number of university philosophy and religion teachers in Utah and the contentment of Apple enthusiasts.
In engaging with this peculiar pairing, we find ourselves venturing beyond the bounds of conventional research. Indeed, this inquiry is no mere exercise in statistical jiggery-pokery; it beckons us to embrace the unorthodox and embark on a scholarly sojourn through the realms of academia and consumer technology. The confluence of these disparate spheres elicits a sense of bemusement tinged with a hint of intrigue, as if Socrates were to philosophize on the nature of touchscreens, or if Descartes were to cogitate on the essence of iCloud storage.
Our investigation is not merely an endeavor in data drudgery, but a quest to illuminate the esoteric interplay between erudition and electronic devices. Thus, we find ourselves compelled to probe the enigmatic connection between the erudite purveyors of ancient wisdom in Utah's halls of higher learning and the discerning individuals who swear allegiance to Apple's sleek and shiny innovations. This unlikely relationship warrants our scrutiny and encourages us to wield the tools of analysis with both precision and a touch of whimsy as we unravel the statistical tapestry that binds these incongruous variables together.
With mirth and measure, we delve into this mysterious nexus, poised to uncover the resonant harmonies between philosophy instructors and the patrons of Apple's wares. Our exploration promises not only to shed light on this delightfully peculiar tie but may also offer a philosophical lens through which to examine the labyrinthine corridors of consumer behavior. Thus, as we embark on this scholarly odyssey, we remain mindful of the adage that "all things are ready, if our minds be so," and we stand ready to traverse the intellectual terrain that lies ahead with a curious blend of rigor and levity.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The correlation analysis between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products yielded intriguing results. Over the period from 2003 to 2021, a significantly high correlation coefficient of 0.7960451 was observed, indicating a strong positive relationship between these seemingly disparate variables. This correlation was further validated by an r-squared value of 0.6336877, signifying that approximately 63.37% of the variation in customer satisfaction with Apple products can be explained by the number of philosophy and religion teachers in Utah. The p-value of less than 0.01 provides robust evidence to reject the null hypothesis and indicates that this relationship is statistically significant.

The scatterplot (Fig. 1) visually illustrates the striking correlation between the variables, resembling a philosophical discourse where the data points engage in a lively debate about the virtues of Apple products amidst the backdrop of academic wisdom. The alignment of these variables on the plot is reminiscent of two erudite scholars engaging in a spirited discussion, with each point representing a unique combination of philosophical prowess and technological enthusiasm.

The findings of this study challenge conventional notions and invite contemplation on the interconnectedness of seemingly unrelated domains. It appears that as the number of philosophy and religion teachers in Utah grows, so does the satisfaction of Apple enthusiasts, perhaps hinting at a hitherto unexplored symbiotic relationship between the pursuit of wisdom and the appreciation of sleek, cutting-edge technology. These unexpected results prompt us to reflect on the profound, albeit whimsical, implications of this unorthodox connection and invite us to peer into the deeper philosophical underpinnings of consumer behavior and technological preferences. This revelatory correlation calls for further scholarly inquiry and may offer a unique lens through which to examine the intricate interplay between academia, technology, and human satisfaction.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

[[LITERATURE REVIEW]]
Numerous studies have endeavored to explore the intricate connections between academia and consumer behavior, often yielding surprising and unforeseen revelations. Smith (2013) delved into the depths of philosophical musings in academia, while Doe (2017) interrogated the intricacies of customer satisfaction with technological products. Furthermore, Jones (2019) conducted an extensive analysis on the cultural and societal influences on consumer preferences. However, our investigation into the correlation between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products delves into uncharted territory, beckoning us to traverse the curious pathways of interdisciplinary inquiry.
In "The Philosophy of Technology" by David M. Kaplan, the author expounds upon the profound implications of technological advancements on philosophical discourse, revealing an astonishing intersection between the ancient pursuit of wisdom and the contemporary landscape of innovation. Similarly, in "Religion and the Rise of Consumer Society" by R. W. Fox, the nuanced dynamics of consumer behavior within the context of religious influences are examined, paving the way for a deeper understanding of the idiosyncrasies that underlie consumer satisfaction.
Transitioning into the realm of fiction which seems far removed from scholarly pursuit, "Zen and the Art of Motorcycle Maintenance" by Robert M. Pirsig and "Neuromancer" by William Gibson offer insightful reflections on the juxtaposition of philosophical introspection and technological prowess, providing an oblique yet pertinent perspective on the interplay between intellectual pursuits and consumer predilections.
Moreover, online phenomena such as the "Philosoraptor" meme, featuring a philosophical velociraptor engaged in contemplative inquiries, and the "Apple Fanboy" meme depicting fervent admirers of Apple products, exemplify the intermingling of philosophical whimsy and consumer allegiance in the digital sphere, shedding light on the eccentric confluence of these distinct domains.
Indeed, as we wade through the profundities of this peculiar amalgamation, we must be prepared to encounter unexpected turns and whimsical intersections that defy the traditional boundaries of academic exploration. With that in mind, we endeavor to navigate this uncharted terrain with measured levity, poised to unravel the enigmatic ties that bind the erudite inhabitants of Utah's educational institutions to the ardent devotees of Apple's technological marvels.

[[RESULTS]]
The correlation analysis between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products yielded intriguing results. Over the period from 2003 to 2021, a significantly high correlation coefficient of 0.7960451 was observed, indicating a strong positive relationship between these seemingly disparate variables. This correlation was further validated by an r-squared value of 0.6336877, signifying that approximately 63.37% of the variation in customer satisfaction with Apple products can be explained by the number of philosophy and religion teachers in Utah. The p-value of less than 0.01 provides robust evidence to reject the null hypothesis and indicates that this relationship is statistically significant.
The scatterplot (Fig. 1) visually illustrates the striking correlation between the variables, resembling a philosophical discourse where the data points engage in a lively debate about the virtues of Apple products amidst the backdrop of academic wisdom. The alignment of these variables on the plot is reminiscent of two erudite scholars engaging in a spirited discussion, with each point representing a unique combination of philosophical prowess and technological enthusiasm.
The findings of this study challenge conventional notions and invite contemplation on the interconnectedness of seemingly unrelated domains. It appears that as the number of philosophy and religion teachers in Utah grows, so does the satisfaction of Apple enthusiasts, perhaps hinting at a hitherto unexplored symbiotic relationship between the pursuit of wisdom and the appreciation of sleek, cutting-edge technology. These unexpected results prompt us to reflect on the profound, albeit whimsical, implications of this unorthodox connection and invite us to peer into the deeper philosophical underpinnings of consumer behavior and technological preferences. This revelatory correlation calls for further scholarly inquiry and may offer a unique lens through which to examine the intricate interplay between academia, technology, and human satisfaction.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of this study provide compelling evidence for the unorthodox yet robust connection between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Our results not only support the existing body of literature on the intersection of academia and consumer behavior but also offer a whimsical twist that fosters contemplation on the enigmatic relationship between erudition and technological allure.

Our data revealed a remarkably high correlation coefficient between the variables, closely resembling a lively debate in the world of philosophical discourse. It seems that as the number of philosophical and religious scholars in Utah increases, so does the satisfaction of Apple enthusiasts. This delightful correlation presents a playful paradox, akin to the harmonious coexistence of logic and ambiguity in the realm of philosophical inquiry.

Harkening back to the literature review, as Smith (2013) delved into philosophical musings in academia and Doe (2017) interrogated customer satisfaction with technological products, our study expands upon these insights with a hint of levity, inviting scholars to unravel the idiosyncratic ties that bind the erudite inhabitants of Utah's educational institutions to the ardent devotees of Apple's technological marvels. Much like the "Philosoraptor" meme, our findings beckon us to embrace the quirky fusion of philosophical whimsy and technological allegiance, transcending the traditional boundaries of scholarly inquiry with a dash of humor.

The unexpected yet statistically significant relationship uncovered in this study challenges conventional notions and offers a novel lens through which to examine the intricate interplay between academia, technology, and human satisfaction. Just as the "Zen and the Art of Motorcycle Maintenance" offered insightful reflections on the juxtaposition of philosophical introspection and technological prowess, our research serves as a delightful departure from the mundane, urging scholars to ponder the delightful confluence of intellectual pursuit and consumer predilections.

In sum, our findings not only underscore the profound implications of technological advancements on philosophical discourse but also beckon us to embrace the unexpected whimsies that emerge from interdisciplinary investigations. This revelatory correlation between the erudite pursuits of academia and the captivating allure of Apple products calls for further scholarly inquiry, inviting us to peer into the deeper philosophical underpinnings of consumer behavior and technological preferences with a touch of playful curiosity.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between The number of university philosophy and religion teachers in Utah and Customer satisfaction with Apple. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados

[[ABSTRACT]]
This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

[[INTRDUCTION]]
The intersection of philosophy and technology has long been a topic of contemplation and conjecture. As two seemingly unrelated domains, one might well ask: what could the world of ancient wisdom and modern gadgets possibly have in common? However, as we embark on this academic escapade, we are compelled to explore the striking correspondence between the number of university philosophy and religion teachers in Utah and the contentment of Apple enthusiasts.
In engaging with this peculiar pairing, we find ourselves venturing beyond the bounds of conventional research. Indeed, this inquiry is no mere exercise in statistical jiggery-pokery; it beckons us to embrace the unorthodox and embark on a scholarly sojourn through the realms of academia and consumer technology. The confluence of these disparate spheres elicits a sense of bemusement tinged with a hint of intrigue, as if Socrates were to philosophize on the nature of touchscreens, or if Descartes were to cogitate on the essence of iCloud storage.
Our investigation is not merely an endeavor in data drudgery, but a quest to illuminate the esoteric interplay between erudition and electronic devices. Thus, we find ourselves compelled to probe the enigmatic connection between the erudite purveyors of ancient wisdom in Utah's halls of higher learning and the discerning individuals who swear allegiance to Apple's sleek and shiny innovations. This unlikely relationship warrants our scrutiny and encourages us to wield the tools of analysis with both precision and a touch of whimsy as we unravel the statistical tapestry that binds these incongruous variables together.
With mirth and measure, we delve into this mysterious nexus, poised to uncover the resonant harmonies between philosophy instructors and the patrons of Apple's wares. Our exploration promises not only to shed light on this delightfully peculiar tie but may also offer a philosophical lens through which to examine the labyrinthine corridors of consumer behavior. Thus, as we embark on this scholarly odyssey, we remain mindful of the adage that "all things are ready, if our minds be so," and we stand ready to traverse the intellectual terrain that lies ahead with a curious blend of rigor and levity.

[[RESULTS]]
The correlation analysis between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products yielded intriguing results. Over the period from 2003 to 2021, a significantly high correlation coefficient of 0.7960451 was observed, indicating a strong positive relationship between these seemingly disparate variables. This correlation was further validated by an r-squared value of 0.6336877, signifying that approximately 63.37% of the variation in customer satisfaction with Apple products can be explained by the number of philosophy and religion teachers in Utah. The p-value of less than 0.01 provides robust evidence to reject the null hypothesis and indicates that this relationship is statistically significant.
The scatterplot (Fig. 1) visually illustrates the striking correlation between the variables, resembling a philosophical discourse where the data points engage in a lively debate about the virtues of Apple products amidst the backdrop of academic wisdom. The alignment of these variables on the plot is reminiscent of two erudite scholars engaging in a spirited discussion, with each point representing a unique combination of philosophical prowess and technological enthusiasm.
The findings of this study challenge conventional notions and invite contemplation on the interconnectedness of seemingly unrelated domains. It appears that as the number of philosophy and religion teachers in Utah grows, so does the satisfaction of Apple enthusiasts, perhaps hinting at a hitherto unexplored symbiotic relationship between the pursuit of wisdom and the appreciation of sleek, cutting-edge technology. These unexpected results prompt us to reflect on the profound, albeit whimsical, implications of this unorthodox connection and invite us to peer into the deeper philosophical underpinnings of consumer behavior and technological preferences. This revelatory correlation calls for further scholarly inquiry and may offer a unique lens through which to examine the intricate interplay between academia, technology, and human satisfaction.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the correlation between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products has unearthed a delightfully unexpected connection. The remarkably high correlation coefficient and statistically significant p-value point to a robust relationship that is as surprising as finding Socrates in a Silicon Valley boardroom. As we contemplate the metaphysical implications of these findings, one cannot help but muse about the existential significance of seeking wisdom while tapping away on a keyboard.

The scatterplot (Fig. 1) not only serves as a visual representation of our statistical analysis but also evokes the image of two erudite scholars engaging in a lively debate about the merits of Apple products. It speaks volumes about the harmonious interplay between the pursuit of enlightenment and the enjoyment of cutting-edge technology, akin to a merry philosophical symposium in the halls of Apple.

These findings may leave us pondering whether the philosopher's stone is, in fact, an iPhone and whether Aristotle would have waxed poetic about the virtues of Apple's user interface. Indeed, this unexpected nexus of academia and technology challenges our preconceived notions and beckons us to contemplate the intertwining tapestries of knowledge and consumer gratification.

Yet, as we close this chapter on the interplay between philosophizing in Utah and delighting in Apple's innovations, we may confidently assert that no further research is needed in this area. The scholastic musings of Utah's philosophy teachers and the joy of Apple aficionados have been quantitatively aligned, leaving us with a statistical theorem as inviolable as Newton's laws. The nexus of ancient wisdom and modern gadgets thus remains a charming enigma, best enjoyed like a well-aged cheese—unquestioned, unaltered, and, above all, thoroughly intriguing.


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 Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Techno-Philosophical Studies


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 Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Advancements in Philosophical and Technological 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 Minds and Macs: Examining the Link Between Philosophers and Apple Aficionados with an abstract of This paper investigates the curious relationship between the number of university philosophy and religion teachers in Utah and customer satisfaction with Apple products. Using data from the Bureau of Labor Statistics and the American Customer Satisfaction Index, we employed statistical analysis to explore this unorthodox connection. Our findings revealed a remarkably high correlation coefficient of 0.7960451 and a p-value less than 0.01 for the years 2003 to 2021, providing robust evidence of the link between these seemingly disparate realms. The implications of this unexpected association beg further investigation and may offer a philosophical perspective on consumer behavior. Whether pondering the metaphysics of MacBooks or the existential implications of iPhones, this research sheds light on the enigmatic interplay between academia, technology, and human satisfaction.

ChatGPT:

Utah, university philosophy, religion teachers, Apple products, customer satisfaction, correlation coefficient, statistical analysis, Bureau of Labor Statistics, American Customer Satisfaction Index, consumer behavior, MacBooks, iPhones, academia, technology, human satisfaction

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



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Data details

The number of university philosophy and religion teachers in Utah
Detailed data title: BLS estimate of philosophy and religion teachers, postsecondary in Utah
Source: Bureau of Larbor Statistics
See what else correlates with The number of university philosophy and religion teachers in Utah

Customer satisfaction with Apple
Source: American Customer Satisfaction Index
See what else correlates with Customer satisfaction with Apple

Correlation r = 0.7960451 (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 = 0.6336877 (Coefficient of determination)
This means 63.4% of the change in the one variable (i.e., Customer satisfaction with Apple) is predictable based on the change in the other (i.e., The number of university philosophy and religion teachers in Utah) over the 19 years from 2003 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.6E-5. 0.0000456789428854815400000000
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 0.8 in 0.0046% of random cases. Said differently, if you correlated 21,892 random variables You don't actually need 21 thousand variables to find a correlation like this one. 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.

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 18 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 18 because we have two variables measured over a period of 19 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.

[ 0.54, 0.92 ] 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.
2003200420052006200720082009201020112012201320142015201620172018201920202021
The number of university philosophy and religion teachers in Utah (Laborers)60909060502002101901901801901401501701801901608080
Customer satisfaction with Apple (Consumer Satisfaction)77818183798584868786878484848383838282




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([60,90,90,60,50,200,210,190,190,180,190,140,150,170,180,190,160,80,80,])
array_2 = np.array([77,81,81,83,79,85,84,86,87,86,87,84,84,84,83,83,83,82,82,])
array_1_name = "The number of university philosophy and religion teachers in Utah"
array_2_name = "Customer satisfaction with Apple"

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

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



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

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

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

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Correlation ID: 1818 · Black Variable ID: 15031 · Red Variable ID: 19869
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