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Spurious correlation #2,581 · 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 art directors in Arkansas and the second variable is Yearly peak of NYSE composite index.  The chart goes from 2003 to 2012, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the number of art directors in Arkansas increased, so did the demand for their creative services. This led to a spike in advertising and marketing campaigns, which captured the public's attention in innovative ways. As consumer confidence and spending rose, the companies behind these artistic endeavors saw record profits, driving up stock prices and ultimately boosting the NYSE composite index. It's as if the state's newfound artistic flair painted a masterpiece of economic growth, creating a bull market fueled by a blend of creativity and commerce.

Model: dalle-3
Prompt: [ Data cyber art ] Generate an image of a futuristic Arkansas art studio where a group of art directors are collaborating on a large canvas. The studio is filled with advanced holographic projectors, and the art directors are seen using modern tools to contribute to the painting. In the background, a futuristic rendition of the New York Stock Exchange building looms, with neon lights and digital displays showing the NYSE composite index reaching its yearly peak, symbolizing a prosperous year for the stock market. The scene is illuminated by a blend of natural light and advanced cyber lighting, creating a juxtaposition of traditional art and futuristic technology. 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 art directors in Arkansas and Yearly peak of NYSE composite index. 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: Low poly Charcoal Cutsy art illustration Steampunk Data cyber art
ChatGPT: Data cyber art

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 art directors in Arkansas and Yearly peak of NYSE composite index together. Keep the description simple.
ChatGPT: In a spacious Arkansas art studio, a group of art directors gather around a large canvas, each contributing their unique vision to a collaborative painting. Meanwhile, the New York Stock Exchange building looms in the background, with the NYSE composite index reaching its yearly peak, signifying a successful and prosperous year for the stock market.

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: [ Data cyber art ] and depicting this scene: In a spacious Arkansas art studio, a group of art directors gather around a large canvas, each contributing their unique vision to a collaborative painting. Meanwhile, the New York Stock Exchange building looms in the background, with the NYSE composite index reaching its yearly peak, signifying a successful and prosperous year for the stock market. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ Data cyber art ] Generate an image of a futuristic Arkansas art studio where a group of art directors are collaborating on a large canvas. The studio is filled with advanced holographic projectors, and the art directors are seen using modern tools to contribute to the painting. In the background, a futuristic rendition of the New York Stock Exchange building looms, with neon lights and digital displays showing the NYSE composite index reaching its yearly peak, symbolizing a prosperous year for the stock market. The scene is illuminated by a blend of natural light and advanced cyber lighting, creating a juxtaposition of traditional art and futuristic technology.

*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in The number of art directors in Arkansas caused Yearly peak of NYSE composite index to increase. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

Journal of Cross-Disciplinary Financial Arts

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 silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from Bureau of Larbor Statistics and Statista to assess this nagging question. You found a correlation coefficient of 0.8585086 and p < 0.01 for 2003 to 2012.

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]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Statistical investigations into seemingly unrelated variables have long been a cornerstone of scientific inquiry, and the findings of such studies often challenge our preconceptions and leave us pondering the intricacies of the interconnected world around us. In this paper, we delve into the enigmatic relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. This unconventional connection, while initially met with skepticism, has yielded intriguing insights that defy conventional expectations.

As researchers, we often find ourselves navigating through the labyrinthine pathways of data, seeking correlations that may be hidden in plain sight or observing patterns that emerge from the most unlikely sources. Our inquisitive pursuit led us to examine the employment figures for art directors in Arkansas and the yearly high points of the NYSE Composite Index over a decade-long period, aiming to unravel any potential links between these ostensibly unrelated entities. The juxtaposition of creative prowess and financial market milestones may at first seem to be an arbitrary pairing, but as our investigation unfolded, we discovered an unforeseen coherence that both captivated and confounded our analytical sensibilities.

While our initial foray into this uncharted territory may seem like a whimsical endeavor, our study is underpinned by rigorous statistical rigor, methodological transparency, and a sincere commitment to unraveling the mysteries that lay dormant within the data. The whimsy of our subject matter should not detract from the gravity of our findings; rather, it serves to remind us of the serendipitous discoveries that can arise from the most unexpected juxtapositions – quite appropriately, the art of data analysis.

As we embark on this academic journey, let us set aside any preconceived notions and embrace the statistical anomalies that illuminate the quirks and curiosities of our world. Our findings may surprise, amuse, and even perplex, but they serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor. So, without further ado, let us unravel the entwined narratives of art directing and stock market peaks, and perhaps uncover some unexpected twists and turns along the way.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Statistical investigations into seemingly unrelated variables have long been a cornerstone of scientific inquiry, and the findings of such studies often challenge our preconceptions and leave us pondering the intricacies of the interconnected world around us. In this paper, we delve into the enigmatic relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. This unconventional connection, while initially met with skepticism, has yielded intriguing insights that defy conventional expectations.
As researchers, we often find ourselves navigating through the labyrinthine pathways of data, seeking correlations that may be hidden in plain sight or observing patterns that emerge from the most unlikely sources. Our inquisitive pursuit led us to examine the employment figures for art directors in Arkansas and the yearly high points of the NYSE Composite Index over a decade-long period, aiming to unravel any potential links between these ostensibly unrelated entities. The juxtaposition of creative prowess and financial market milestones may at first seem to be an arbitrary pairing, but as our investigation unfolded, we discovered an unforeseen coherence that both captivated and confounded our analytical sensibilities.
While our initial foray into this uncharted territory may seem like a whimsical endeavor, our study is underpinned by rigorous statistical rigor, methodological transparency, and a sincere commitment to unraveling the mysteries that lay dormant within the data. The whimsy of our subject matter should not detract from the gravity of our findings; rather, it serves to remind us of the serendipitous discoveries that can arise from the most unexpected juxtapositions – quite appropriately, the art of data analysis.
As we embark on this academic journey, let us set aside any preconceived notions and embrace the statistical anomalies that illuminate the quirks and curiosities of our world. Our findings may surprise, amuse, and even perplex, but they serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor. So, without further ado, let us unravel the entwined narratives of art directing and stock market peaks, and perhaps uncover some unexpected twists and turns along the way.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The examination of seemingly unrelated variables has long been a pursuit of scientific inquisition, leading researchers to uncover unexpected correlations that challenge conventional thinking. In our quest to explore the intersection of art directing and the stock market, we turn to a range of literature that provides diverse perspectives on statistical anomalies, interdisciplinary connections, and the whimsical nature of data analysis.

Smith and Doe (2007) delved into the intricacies of cross-domain correlations, exploring the unexpected relationships that can emerge from disparate fields. Their work shed light on the potential for statistical surprise, reminding researchers to approach data analysis with an open mind, much like unraveling the plot twists in a suspenseful novel. Jones (2015) further extended this line of inquiry, emphasizing the importance of embracing statistical anomalies with a mix of curiosity and methodological rigor, akin to uncovering hidden clues in a detective story.

Turning our attention to non-fiction literature, "Freakonomics" by Steven D. Levitt and Stephen J. Dubner (2005) offers unique insights into unconventional correlations, encouraging readers to question assumed causality and embrace the unexpected connections that underpin societal phenomena. As we navigate through the labyrinth of statistical inquiry, the lessons from "Naked Economics" by Charles Wheelan (2010) serve as a reminder of the dynamic and often unpredictable nature of economic interactions, akin to the unpredictable plot twists in fiction.

Speaking of fiction, the works of Haruki Murakami, renowned for their enigmatic narratives and surreal twists, prompt us to ponder the mysterious connections that underlie seemingly disparate elements. Indeed, "Kafka on the Shore" and "1Q84" beckon the reader into a world where conventional realities intertwine with the surreal, much like the unexpected correlation between art directing and stock market peaks.

As we navigate through the literary landscape, it's worth noting the whimsical insights that children's cartoons provide. "SpongeBob SquarePants," with its whimsical humor and unexpected plot developments, serves as a lighthearted analogy for the surprising correlations our research endeavors to uncover. Similarly, "Adventure Time" offers whimsical adventures that mirror the unexpected twists and turns of statistical inquiry, urging researchers to embrace the unconventional and appreciate the unexpected connections that lie beneath the surface.

The convergence of serious scholarship, non-fiction explorations, fiction narratives, and whimsical children's entertainment reflects the multidimensional lens through which we approach the unexpected correlation between art directing and the stock market. As we embark on this academic odyssey, let us heed the wisdom of diverse literature and embrace the whimsicality of statistical inquiry, for within the unexpected lies the potential for groundbreaking discovery and delightfully surprising revelations.



Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. 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 Bureau of Larbor Statistics and Statista . You used data from 2003 to 2012

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]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

[[INTRODUCTION]]
Statistical investigations into seemingly unrelated variables have long been a cornerstone of scientific inquiry, and the findings of such studies often challenge our preconceptions and leave us pondering the intricacies of the interconnected world around us. In this paper, we delve into the enigmatic relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. This unconventional connection, while initially met with skepticism, has yielded intriguing insights that defy conventional expectations.
As researchers, we often find ourselves navigating through the labyrinthine pathways of data, seeking correlations that may be hidden in plain sight or observing patterns that emerge from the most unlikely sources. Our inquisitive pursuit led us to examine the employment figures for art directors in Arkansas and the yearly high points of the NYSE Composite Index over a decade-long period, aiming to unravel any potential links between these ostensibly unrelated entities. The juxtaposition of creative prowess and financial market milestones may at first seem to be an arbitrary pairing, but as our investigation unfolded, we discovered an unforeseen coherence that both captivated and confounded our analytical sensibilities.
While our initial foray into this uncharted territory may seem like a whimsical endeavor, our study is underpinned by rigorous statistical rigor, methodological transparency, and a sincere commitment to unraveling the mysteries that lay dormant within the data. The whimsy of our subject matter should not detract from the gravity of our findings; rather, it serves to remind us of the serendipitous discoveries that can arise from the most unexpected juxtapositions – quite appropriately, the art of data analysis.
As we embark on this academic journey, let us set aside any preconceived notions and embrace the statistical anomalies that illuminate the quirks and curiosities of our world. Our findings may surprise, amuse, and even perplex, but they serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor. So, without further ado, let us unravel the entwined narratives of art directing and stock market peaks, and perhaps uncover some unexpected twists and turns along the way.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the intriguing links between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index, our research team employed a blend of statistical analyses, database mining, and an unconventional touch of creative inquiry. This methodology was designed to capture the essence of both the artistic and financial realms and discern any clandestine connections that might exist between them.

Data Collection:
We commenced our empirical journey by scouring the vast expanse of the internet, foraging through labor statistics and financial archives in search of the elusive threads that might bind artistry and stock market peaks. Our primary sources of data were the Bureau of Labor Statistics and Statista, which provided us with a veritable treasure trove of employment figures for art directors in Arkansas and yearly peak values of the NYSE Composite Index spanning from 2003 to 2012.

The Marriage of Art and Mathematics:
Amidst the conventional rigidity of statistical analyses, we sought to infuse a dash of creativity into our methodology. Concocting a melange of regression analyses and scatter plots, we visualized the ebb and flow of artistry and market dynamics, aiming to capture the elusive essence of their potential entanglement.

The Interpretive Dance of Correlation and Hypothesis Testing:
Applying the time-honored techniques of correlation analysis, we waltzed through the labyrinth of data, seeking the hidden tango between the number of art directors in Arkansas and the yearly high points of the NYSE Composite Index. Having identified a correlation coefficient of 0.8585086 and a p-value of less than 0.01, we arrived at a pivotal juncture that not only challenged our preconceptions but also piqued our curiosity about the unforeseen parallels within these incongruous variables.

Confounders and Control Variables:
Aware of the potential confounders and lurking variables that might cast a shade of doubt upon our findings, we exercised utmost diligence in accounting for pertinent demographic and economic factors that could influence our observed correlation. Though the marriage of art and finance may appear to be an unlikely affair, we endeavored to ensure that our statistical analyses were not contaminated by extraneous influences, opting for a union based solely on empirical merit.

In summary, our methodology embarks on an odyssey that merges the rigors of statistical analysis with the whimsy of artistic inquiry, seeking to delineate the enchanting tapestry that interweaves the employment of art directors in Arkansas and the zeniths of the NYSE Composite Index. This approach, while unconventional, serves as a testament to the creative potential of scientific inquiry and the serendipitous discoveries that emerge when seemingly disparate domains converge.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. 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 Bureau of Larbor Statistics and Statista .

For the time period 2003 to 2012, you found a correlation 0.8585086, r-squared of 0.7370370, 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]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Statistical investigations into seemingly unrelated variables have long been a cornerstone of scientific inquiry, and the findings of such studies often challenge our preconceptions and leave us pondering the intricacies of the interconnected world around us. In this paper, we delve into the enigmatic relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. This unconventional connection, while initially met with skepticism, has yielded intriguing insights that defy conventional expectations.
As researchers, we often find ourselves navigating through the labyrinthine pathways of data, seeking correlations that may be hidden in plain sight or observing patterns that emerge from the most unlikely sources. Our inquisitive pursuit led us to examine the employment figures for art directors in Arkansas and the yearly high points of the NYSE Composite Index over a decade-long period, aiming to unravel any potential links between these ostensibly unrelated entities. The juxtaposition of creative prowess and financial market milestones may at first seem to be an arbitrary pairing, but as our investigation unfolded, we discovered an unforeseen coherence that both captivated and confounded our analytical sensibilities.
While our initial foray into this uncharted territory may seem like a whimsical endeavor, our study is underpinned by rigorous statistical rigor, methodological transparency, and a sincere commitment to unraveling the mysteries that lay dormant within the data. The whimsy of our subject matter should not detract from the gravity of our findings; rather, it serves to remind us of the serendipitous discoveries that can arise from the most unexpected juxtapositions – quite appropriately, the art of data analysis.
As we embark on this academic journey, let us set aside any preconceived notions and embrace the statistical anomalies that illuminate the quirks and curiosities of our world. Our findings may surprise, amuse, and even perplex, but they serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor. So, without further ado, let us unravel the entwined narratives of art directing and stock market peaks, and perhaps uncover some unexpected twists and turns along the way.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

In examining the correlation between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index from 2003 to 2012, our research team unearthed a striking correlation coefficient of 0.8585086. This relationship was further underscored by an r-squared of 0.7370370 and a p-value of less than 0.01, emphasizing the robustness of the observed association. The statistical analysis revealed a remarkable alignment between these seemingly incongruent variables, challenging the conventional notions of causality and prompting further investigation into the enigmatic interplay between artistry and market momentum.

As depicted in Fig. 1, the scatterplot vividly illustrates the strong correlation between the two variables, serving as a visual testament to the unexpected interconnectedness of art directing and stock market index peaks. While the relationship may appear whimsical at first blush, our data-driven inquiry offers a thought-provoking glimpse into the marvels of statistical serendipity. The whimsy inherent in our findings underscores the capricious nature of statistical exploration, where even the most unconventional pairings can reveal compelling associations.

These results not only defy traditional expectations but also exemplify the unpredictable nature of statistical inquiry, where the realms of creativity and financial markets converge in a harmonious statistical duet. As we unravel the interwoven narratives of art directing and stock market peaks, our discoveries serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. 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]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

[[LITERATURE REVIEW]]
The examination of seemingly unrelated variables has long been a pursuit of scientific inquisition, leading researchers to uncover unexpected correlations that challenge conventional thinking. In our quest to explore the intersection of art directing and the stock market, we turn to a range of literature that provides diverse perspectives on statistical anomalies, interdisciplinary connections, and the whimsical nature of data analysis.
Smith and Doe (2007) delved into the intricacies of cross-domain correlations, exploring the unexpected relationships that can emerge from disparate fields. Their work shed light on the potential for statistical surprise, reminding researchers to approach data analysis with an open mind, much like unraveling the plot twists in a suspenseful novel. Jones (2015) further extended this line of inquiry, emphasizing the importance of embracing statistical anomalies with a mix of curiosity and methodological rigor, akin to uncovering hidden clues in a detective story.
Turning our attention to non-fiction literature, "Freakonomics" by Steven D. Levitt and Stephen J. Dubner (2005) offers unique insights into unconventional correlations, encouraging readers to question assumed causality and embrace the unexpected connections that underpin societal phenomena. As we navigate through the labyrinth of statistical inquiry, the lessons from "Naked Economics" by Charles Wheelan (2010) serve as a reminder of the dynamic and often unpredictable nature of economic interactions, akin to the unpredictable plot twists in fiction.
Speaking of fiction, the works of Haruki Murakami, renowned for their enigmatic narratives and surreal twists, prompt us to ponder the mysterious connections that underlie seemingly disparate elements. Indeed, "Kafka on the Shore" and "1Q84" beckon the reader into a world where conventional realities intertwine with the surreal, much like the unexpected correlation between art directing and stock market peaks.
As we navigate through the literary landscape, it's worth noting the whimsical insights that children's cartoons provide. "SpongeBob SquarePants," with its whimsical humor and unexpected plot developments, serves as a lighthearted analogy for the surprising correlations our research endeavors to uncover. Similarly, "Adventure Time" offers whimsical adventures that mirror the unexpected twists and turns of statistical inquiry, urging researchers to embrace the unconventional and appreciate the unexpected connections that lie beneath the surface.
The convergence of serious scholarship, non-fiction explorations, fiction narratives, and whimsical children's entertainment reflects the multidimensional lens through which we approach the unexpected correlation between art directing and the stock market. As we embark on this academic odyssey, let us heed the wisdom of diverse literature and embrace the whimsicality of statistical inquiry, for within the unexpected lies the potential for groundbreaking discovery and delightfully surprising revelations.


[[RESULTS]]
In examining the correlation between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index from 2003 to 2012, our research team unearthed a striking correlation coefficient of 0.8585086. This relationship was further underscored by an r-squared of 0.7370370 and a p-value of less than 0.01, emphasizing the robustness of the observed association. The statistical analysis revealed a remarkable alignment between these seemingly incongruent variables, challenging the conventional notions of causality and prompting further investigation into the enigmatic interplay between artistry and market momentum.
As depicted in Fig. 1, the scatterplot vividly illustrates the strong correlation between the two variables, serving as a visual testament to the unexpected interconnectedness of art directing and stock market index peaks. While the relationship may appear whimsical at first blush, our data-driven inquiry offers a thought-provoking glimpse into the marvels of statistical serendipity. The whimsy inherent in our findings underscores the capricious nature of statistical exploration, where even the most unconventional pairings can reveal compelling associations.
These results not only defy traditional expectations but also exemplify the unpredictable nature of statistical inquiry, where the realms of creativity and financial markets converge in a harmonious statistical duet. As we unravel the interwoven narratives of art directing and stock market peaks, our discoveries serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The unexpected correlation we observed between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index elicits a sense of bewildered amusement, akin to stumbling upon an unexpected punchline in a convoluted joke. While our findings may prompt a raised eyebrow or a quizzical expression, they are not without precedent in the annals of statistical inquiry. As we fondly recall the literary musings of Smith and Doe, who likened statistical anomalies to unraveling a suspenseful novel, we are reminded that the world of data analysis is replete with unexpected plot twists.

Our results echo the sentiment of Jones, who implored researchers to embrace statistical anomalies with a methodological rigor akin to uncovering hidden clues in a detective story. The robust correlation coefficient and p-value that emerged from our analysis serve as tangible evidence of the harmonious statistical duet between art directing and market peaks, challenging the conventional boundaries of causality.

The whimsical insights of our research, imbued with the spirit of "Freakonomics," compel us to question assumed causality and revel in the unexpected connections that underpin societal phenomena. As Wheelan's "Naked Economics" deftly portrays the dynamic and unpredictable nature of economic interactions, our findings inject a dose of statistical serendipity into the discourse of market dynamics.

Much like the surreal narratives of Haruki Murakami, our research beckons us into a world where conventional realities intertwine with the surreal, where the enigmatic correlation between art directing and stock market peaks takes center stage as a reflection of the interconnectedness of seemingly disparate elements. The unexpected nature of our findings serves as a lighthearted reminder—the statistical realm is rife with surprises, much like the whimsical humor and unexpected plot developments in "SpongeBob SquarePants."

Our discoveries, situated at the confluence of creativity and financial markets, renew our appreciation for the capricious nature of statistical exploration, where even the most unconventional pairings can yield compelling associations. As we reflect on the intriguing correlation unearthed in our analysis, we are reminded of the potential for groundbreaking discovery and delightfully surprising revelations that reside within the unexpected.

In the spirit of "Adventure Time," with its whimsical adventures mirroring the unexpected twists of statistical inquiry, let us embrace the unconventional and savor the delight of unveiling unforeseen connections. Our research endeavors not only contribute to the discourse of statistical anomalies but also impart a reminder to approach data analysis with an open mind, for within the unexpected lies the potential for revelatory insights and statistical merriment.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 art directors in Arkansas and Yearly peak of NYSE composite index. 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]]
Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index

[[ABSTRACT]]
The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.

While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

[[INTRDUCTION]]
Statistical investigations into seemingly unrelated variables have long been a cornerstone of scientific inquiry, and the findings of such studies often challenge our preconceptions and leave us pondering the intricacies of the interconnected world around us. In this paper, we delve into the enigmatic relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. This unconventional connection, while initially met with skepticism, has yielded intriguing insights that defy conventional expectations.
As researchers, we often find ourselves navigating through the labyrinthine pathways of data, seeking correlations that may be hidden in plain sight or observing patterns that emerge from the most unlikely sources. Our inquisitive pursuit led us to examine the employment figures for art directors in Arkansas and the yearly high points of the NYSE Composite Index over a decade-long period, aiming to unravel any potential links between these ostensibly unrelated entities. The juxtaposition of creative prowess and financial market milestones may at first seem to be an arbitrary pairing, but as our investigation unfolded, we discovered an unforeseen coherence that both captivated and confounded our analytical sensibilities.
While our initial foray into this uncharted territory may seem like a whimsical endeavor, our study is underpinned by rigorous statistical rigor, methodological transparency, and a sincere commitment to unraveling the mysteries that lay dormant within the data. The whimsy of our subject matter should not detract from the gravity of our findings; rather, it serves to remind us of the serendipitous discoveries that can arise from the most unexpected juxtapositions – quite appropriately, the art of data analysis.
As we embark on this academic journey, let us set aside any preconceived notions and embrace the statistical anomalies that illuminate the quirks and curiosities of our world. Our findings may surprise, amuse, and even perplex, but they serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor. So, without further ado, let us unravel the entwined narratives of art directing and stock market peaks, and perhaps uncover some unexpected twists and turns along the way.

[[RESULTS]]
In examining the correlation between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index from 2003 to 2012, our research team unearthed a striking correlation coefficient of 0.8585086. This relationship was further underscored by an r-squared of 0.7370370 and a p-value of less than 0.01, emphasizing the robustness of the observed association. The statistical analysis revealed a remarkable alignment between these seemingly incongruent variables, challenging the conventional notions of causality and prompting further investigation into the enigmatic interplay between artistry and market momentum.
As depicted in Fig. 1, the scatterplot vividly illustrates the strong correlation between the two variables, serving as a visual testament to the unexpected interconnectedness of art directing and stock market index peaks. While the relationship may appear whimsical at first blush, our data-driven inquiry offers a thought-provoking glimpse into the marvels of statistical serendipity. The whimsy inherent in our findings underscores the capricious nature of statistical exploration, where even the most unconventional pairings can reveal compelling associations.
These results not only defy traditional expectations but also exemplify the unpredictable nature of statistical inquiry, where the realms of creativity and financial markets converge in a harmonious statistical duet. As we unravel the interwoven narratives of art directing and stock market peaks, our discoveries serve as a testament to the boundless potential of statistical inquiry and the whimsicality of the scientific endeavor.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has illuminated a remarkable correlation between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Despite the initial incredulity surrounding this seemingly incongruous connection, our findings challenge conventional wisdom and underscore the whimsical nature of statistical exploration. It appears that the art of data analysis has a knack for uncovering the most surprising relationships, and in this case, the fusion of artistic creativity and stock market dynamics has proven to be a statistically harmonious match.

As we reflect on the unanticipated coherence between these disparate variables, it becomes clear that statistical inquiry is not just a science; it is also an art form, with the potential to reveal hidden symmetries and unexpected patterns. The whimsy of our findings serves as a gentle reminder that in the world of statistics, there is always room for surprise and delight – after all, statistical anomalies are the bread and butter of our curious profession.

Furthermore, our results emphasize the capricious nature of statistical exploration, where even the most unconventional pairings can yield statistically significant associations. The correlation between art directors in Arkansas and the NYSE Composite Index peaks may prompt further inquiries into the interplay between creative industries and financial markets, providing fertile ground for future research endeavors.

In light of our findings, it seems that art truly has the power to influence the stock market – perhaps we should consider adding "artistic flair" as a variable in financial forecasting models. However, we must also acknowledge the limitations of our study. While our research uncovered a surprising correlation, the nature of causality and the underlying mechanisms of this relationship remain shrouded in statistical mystery.

In the spirit of scientific inquiry, we accept that there are still unanswered questions and unexplored avenues in this peculiar intersection of art and finance. However, we contend that the revelatory nature of our findings marks a delightful culmination of our statistical escapade, and we assert that no further research is needed in this area. After all, why fixate on unraveling a statistical enigma when there are countless other peculiar pairings waiting to be discovered? The statistical whimsy of the world beckons, and the art of data analysis knows no bounds.


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 Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Cross-Disciplinary Financial Arts


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 Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Economic Artistry and Stock Market 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 Art Directing the Stock Market: An Unconventional Connection between Arkansas and the NYSE Composite Index with an abstract of The purpose of this research paper is to investigate the seemingly improbable relationship between the number of art directors in Arkansas and the yearly peak of the NYSE Composite Index. Utilizing data from the Bureau of Labor Statistics and Statista, our research team conducted a thorough analysis spanning the years 2003 to 2012. Strikingly, we uncovered a correlation coefficient of 0.8585086 and a p-value of less than 0.01, suggesting a significant association between these seemingly unrelated variables.
While the correlation we observed may appear incredulous at first glance, our findings challenge conventional wisdom and spark questions about the interconnectedness of seemingly disparate fields. Our research not only sheds light on this unusual correlation but also serves as a lighthearted reminder to approach data analysis with an open mind – after all, in the world of statistics, anything can be artfully construed.

ChatGPT:

art directors Arkansas, yearly peak NYSE Composite Index, correlation art directors NYSE Composite Index, Bureau of Labor Statistics art directors, Statista art directors Arkansas, correlation coefficient art directors NYSE Composite Index, p-value correlation art directors NYSE Composite Index

*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 art directors in Arkansas
Detailed data title: BLS estimate of art directors in Arkansas
Source: Bureau of Larbor Statistics
See what else correlates with The number of art directors in Arkansas

Yearly peak of NYSE composite index
Source: Statista
See what else correlates with Yearly peak of NYSE composite index

Correlation r = 0.8585086 (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 = 0.7370370 (Coefficient of determination)
This means 73.7% of the change in the one variable (i.e., Yearly peak of NYSE composite index) is predictable based on the change in the other (i.e., The number of art directors in Arkansas) over the 10 years from 2003 through 2012.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.0015. 0.0014729456799684800000000000
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 0.86 in 0.15% of random cases. Said differently, if you correlated 679 random variables Which I absolutely did.
with the same 9 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 9 because we have two variables measured over a period of 10 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.

[ 0.5, 0.97 ] 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.
2003200420052006200720082009201020112012
The number of art directors in Arkansas (Art Directors)4012013015016016015090110140
Yearly peak of NYSE composite index (Stock index)07373786891881038797137288798387188519




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.




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([40,120,130,150,160,160,150,90,110,140,])
array_2 = np.array([0,7373,7868,9188,10387,9713,7288,7983,8718,8519,])
array_1_name = "The number of art directors in Arkansas"
array_2_name = "Yearly peak of NYSE composite index"

# 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 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. 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.

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Correlation ID: 2581 · Black Variable ID: 5160 · Red Variable ID: 314
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