Spurious correlation #5,801 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is How cool 3Blue1Brown YouTube video titles are and the second variable is Petroluem consumption in Turkmenistan. The chart goes from 2015 to 2021, and the two variables track closely in value over that time.

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is How cool 3Blue1Brown YouTube video titles are and the second variable is Petroluem consumption in Turkmenistan. The chart goes from 2015 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

The extra brainpower required to comprehend the mind-bending mathematical concepts in the videos leads to increased cognitive functioning and decision-making skills, prompting the citizens of Turkmenistan to invest in more petroleum-based products like cars and generators to fuel their newly inspired productivity.

^{Show image generation prompt} Model: dalle-3
Prompt: Generating prompt... Title: "Mathematical Marvels in Turkmenistan" Description: Using the style of a Discovery magazine cover image, depict citizens of Turkmenistan gathered around a screen displaying mesmerizing 3Blue1Brown YouTube video titles. Their eyes widen in fascination as they watch complex mathematical concepts unfold, requiring extra brainpower to comprehend. Show the scene transitioning seamlessly to citizens being inspired by the videos and investing in more petroleum-based products like cars and generators, fueling their newly inspired productivity. Capture the combination of awe-inspiring mathematical visuals and the hum of petroleum-powered machinery, reflecting the impact of both variables. Keep the visual depiction simple without any words or speech bubbles. 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: How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: A Discovery magazine cover image Data cyber art Photorealism 3D Pixar Style a Polaroid photo
ChatGPT: A Discovery magazine cover image

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan, in the following situation: The extra brainpower required to comprehend the mind-bending mathematical concepts in the videos leads to increased cognitive functioning and decision-making skills, prompting the citizens of Turkmenistan to invest in more petroleum-based products like cars and generators to fuel their newly inspired productivity.. Keep the description simple.
ChatGPT: In Turkmenistan, citizens gather around mesmerized by the mind-bending 3Blue1Brown YouTube video titles, their eyes widening in fascination. They watch as complex mathematical concepts unfold on the screen, requiring extra brainpower to comprehend. Inspired by the videos, they invest in more petroleum-based products like cars and generators, fueling their newly inspired productivity. The scene is a combination of awe-inspiring mathematical visuals and the hum of petroleum-powered machinery reflecting the impact of both variables.

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 Discovery magazine cover image ] and depicting this scene: In Turkmenistan, citizens gather around mesmerized by the mind-bending 3Blue1Brown YouTube video titles, their eyes widening in fascination. They watch as complex mathematical concepts unfold on the screen, requiring extra brainpower to comprehend. Inspired by the videos, they invest in more petroleum-based products like cars and generators, fueling their newly inspired productivity. The scene is a combination of awe-inspiring mathematical visuals and the hum of petroleum-powered machinery reflecting the impact of both variables. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generating prompt... Title: "Mathematical Marvels in Turkmenistan" Description: Using the style of a Discovery magazine cover image, depict citizens of Turkmenistan gathered around a screen displaying mesmerizing 3Blue1Brown YouTube video titles. Their eyes widen in fascination as they watch complex mathematical concepts unfold, requiring extra brainpower to comprehend. Show the scene transitioning seamlessly to citizens being inspired by the videos and investing in more petroleum-based products like cars and generators, fueling their newly inspired productivity. Capture the combination of awe-inspiring mathematical visuals and the hum of petroleum-powered machinery, reflecting the impact of both variables. Keep the visual depiction simple without any words or speech bubbles.

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

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.
^{Show prompt for explanation} Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how increases in How cool 3Blue1Brown YouTube video titles are positively influenced Petroluem consumption in Turkmenistan.

AI academic paper

(Because p < 0.01)

From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan

The Journal of Quirky Cross-Disciplinary Studies

Jan 2024

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

^{Show prompt used to generate this paper} Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.

Model: gpt-3.5-turbo-1106
System prompt: You are a 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 How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
"From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan"

[[ABSTRACT]]
This study investigates the unexpected and seemingly arcane relationship between 3Blue1Brown YouTube video titles and petroleum consumption in Turkmenistan. Using data from AI analysis of video titles from Grant Sanderson's popular channel and Petroleum Consumption statistics from the Energy Information Administration, we explored the potential impact of visually stimulating math explanations on a country's demand for crude oil. The findings reveal a surprisingly strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan, with a correlation coefficient of 0.9243418 and p < 0.01 for the period spanning from 2015 to 2021.

As we delved into the data, it became evident that the coolness factor of the video titles, as perceived by both human and AI observers, had a palpable effect on the petroleum consumption patterns in Turkmenistan. This unexpected, yet intriguing relationship prompts one to ponder the influence of engaging mathematics content on seemingly unrelated economic variables. It seems that even in the realm of petroleum consumption, the allure of differential equations and linear algebra cannot be discounted.

While this connection may seem as perplexing as trying to integrate e^x without the constant of integration, the evidence is clear - there is a tangible association between the captivating nature of 3Blue1Brown video titles and the demand for petroleum in Turkmenistan. Perhaps, in the grand scheme of things, intriguing math videos do have the potential to fuel a country's economic activity - though not in the way one might initially expect.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the saying goes, "When life gives you 3Blue1Brown video titles, make petrol-eum consumption correlations!" In the realm of unexpected research connections, the link between the captivating titles of 3Blue1Brown's YouTube videos and the petroleum consumption trends in Turkmenistan certainly stands out.
It is a truth universally acknowledged that a good pun in an academic paper can either be a welcome surprise or a groan-inducing experience, much like finding a derivative using the quotient rule. Nevertheless, the unusual relationship we explore in this paper adds a lighthearted twist to the typically serious study of economic determinants.
The surprising confluence of math video coolness and fuel demand leads one to wonder whether there is a hidden hand—albeit not the kind one would find in a probability distribution—guiding economic behaviors. The prospect of math-infused video titles shaping a nation's gasoline usage may appear as improbable as discovering a Taylor series expansion for a piecewise function, yet the statistical evidence cannot be ignored.
While some may find it hard to believe that the mesmerizing allure of mathematical concepts can impact a country's energy consumption, the data speak for themselves, much like a rigorous proof settling any debate. The implications of this correlation stretch far beyond the realm of calculus and differential equations, touching upon the intersection of educational content and economic activity—a fusion one might aptly describe as "calc to crude."
This investigation aims to shed light on this obscure, yet undeniably entertaining, relationship, confronting the age-old paradox: can the enchanting world of math, through its popularization in online video titles, indeed influence the demand for petroleum resources in Turkmenistan? With that question in mind, let us now delve into the methodology and findings that underpin this peculiar, albeit fascinating, connection.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The relationship between YouTube video titles and economic indicators has been a subject of interest in recent literature. Smith et al. (2018) examined the impact of clickbait titles on online consumer behavior, while Doe and Jones (2019) investigated the correlation between video title lengths and advertising revenues. However, the specific link between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan has remained unexplored until now.

In "Book," the authors find that captivating and visually stimulating content can sway consumer preferences, but they do not delve into the realm of mathematical explanations. Similarly, in "Another Book," the focus is on the influence of social media content on energy consumption patterns, neglecting the unique impact of math-focused video titles.

Turning to non-fiction literature, "The Prize" by Daniel Yergin provides a comprehensive account of the history and economics of the global petroleum industry. Meanwhile, "Energy and Civilization" by Vaclav Smil offers insights into the interplay between energy transitions and societal developments, though the specific influence of math-themed YouTube videos is not addressed in these works.

In the realm of fiction, books like "The Calculus Diaries" by Jennifer Ouellette and "An Abundance of Katherines" by John Green explore mathematical concepts in engaging narratives. While these works do not directly address petroleum consumption, they do highlight the profound impact of math on human thought and behavior. One might even say they integrate compelling storytelling with integrals quite seamlessly.

Additionally, anecdotal evidence gleaned from social media posts has hinted at a potential link between the coolness of 3Blue1Brown video titles and viewer engagement. One user quipped, "These titles are so 'sinfully' cool, they should come with 'tan-ning' beds!" while another remarked, "Watching 3Blue1Brown feels like a Taylor series expansion - it just keeps going and going, and you can't help but get sucked in!"

Despite the lack of direct scholarly inquiry into this phenomenon, the existing literature and social discourse offer intriguing glimpses into the potential impact of math-focused content on consumer behavior and preferences.

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 How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from AI analysis of YouTube video titles and Energy Information Administration . You used data from 2015 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]]
"From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan"

[[ABSTRACT]]
This study investigates the unexpected and seemingly arcane relationship between 3Blue1Brown YouTube video titles and petroleum consumption in Turkmenistan. Using data from AI analysis of video titles from Grant Sanderson's popular channel and Petroleum Consumption statistics from the Energy Information Administration, we explored the potential impact of visually stimulating math explanations on a country's demand for crude oil. The findings reveal a surprisingly strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan, with a correlation coefficient of 0.9243418 and p < 0.01 for the period spanning from 2015 to 2021.

As we delved into the data, it became evident that the coolness factor of the video titles, as perceived by both human and AI observers, had a palpable effect on the petroleum consumption patterns in Turkmenistan. This unexpected, yet intriguing relationship prompts one to ponder the influence of engaging mathematics content on seemingly unrelated economic variables. It seems that even in the realm of petroleum consumption, the allure of differential equations and linear algebra cannot be discounted.

While this connection may seem as perplexing as trying to integrate e^x without the constant of integration, the evidence is clear - there is a tangible association between the captivating nature of 3Blue1Brown video titles and the demand for petroleum in Turkmenistan. Perhaps, in the grand scheme of things, intriguing math videos do have the potential to fuel a country's economic activity - though not in the way one might initially expect.

[[INTRODUCTION]]
As the saying goes, "When life gives you 3Blue1Brown video titles, make petrol-eum consumption correlations!" In the realm of unexpected research connections, the link between the captivating titles of 3Blue1Brown's YouTube videos and the petroleum consumption trends in Turkmenistan certainly stands out.
It is a truth universally acknowledged that a good pun in an academic paper can either be a welcome surprise or a groan-inducing experience, much like finding a derivative using the quotient rule. Nevertheless, the unusual relationship we explore in this paper adds a lighthearted twist to the typically serious study of economic determinants.
The surprising confluence of math video coolness and fuel demand leads one to wonder whether there is a hidden hand—albeit not the kind one would find in a probability distribution—guiding economic behaviors. The prospect of math-infused video titles shaping a nation's gasoline usage may appear as improbable as discovering a Taylor series expansion for a piecewise function, yet the statistical evidence cannot be ignored.
While some may find it hard to believe that the mesmerizing allure of mathematical concepts can impact a country's energy consumption, the data speak for themselves, much like a rigorous proof settling any debate. The implications of this correlation stretch far beyond the realm of calculus and differential equations, touching upon the intersection of educational content and economic activity—a fusion one might aptly describe as "calc to crude."
This investigation aims to shed light on this obscure, yet undeniably entertaining, relationship, confronting the age-old paradox: can the enchanting world of math, through its popularization in online video titles, indeed influence the demand for petroleum resources in Turkmenistan? With that question in mind, let us now delve into the methodology and findings that underpin this peculiar, albeit fascinating, connection.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

Data Collection:
The data utilized in this study were sourced from two primary repositories: the archive of 3Blue1Brown's YouTube video titles and descriptions, and the Energy Information Administration's database of petroleum consumption in Turkmenistan. The study period encompassed the years 2015 to 2021, ensuring a comprehensive analysis of the evolving trends in both the coolness of video titles and the demand for petroleum.

To capture the captivating essence of 3Blue1Brown's content, a custom AI algorithm specializing in "coolness detection" was developed. This algorithm surveyed the lexical composition, visual aesthetics, and semantic richness of each video title, utilizing linguistic theories and image processing techniques to quantify the coolness factor of the titles. The AI model was rigorously trained on a dataset of mathematically captivating and pedestrian video titles, ensuring its adeptness at distinguishing between visually stimulating titles and those leaving viewers as cold as unshaded regions in a calculus graph.

Simultaneously, the Energy Information Administration's petroleum consumption data for Turkmenistan was meticulously extracted and aggregated, employing advanced statistical techniques to discern consumption patterns and annual fluctuations. The thoroughness of data collection aimed to account for all potential confounding variables, leaving no stone unturned in the pursuit of elucidating the inexplicable nexus between mathematical allure and energy utilization.

A Dad Joke Interjection:
Why was the math book sad? It had too many problems.

Statistical Analysis:
The next step involved a rigorous statistical investigation, seeking to establish the correlation between the perceived coolness of 3Blue1Brown video titles and the petroleum consumption in Turkmenistan. A series of regressions, including both simple and multiple linear models, were employed to assess the strength and significance of this relationship.

However, the challenge lay not only in elucidating the connection but also in navigating the myriad potential confounders. As such, a comprehensive sensitivity analysis was conducted, akin to recalibrating a mathematical model's parameters to account for variations in external conditions. Robustness checks, including proxy variables for alternative influences such as global oil prices, geopolitical events, and national policy changes, were implemented to ensure the fidelity of the findings and guard against erroneous attributions.

Furthermore, a Granger causality test was administered to ascertain the direction of influence, determining whether the coolness of 3Blue1Brown video titles exerted a causal impact on petroleum consumption or vice versa. The gravity of this analysis cannot be overstated, as it bolsters the plausibility of an actual, rather than spurious, relationship, much like differentiating between a local minimum and a saddle point on a multi-variable function.

A Dad Joke Interjection:
I told my wife she should embrace her mistakes... She gave me a hug.

Synthesis of AI and Economic Analyses:
The synthesis of AI-derived coolness metrics and economic consumption patterns formed the crux of this study, necessitating the amalgamation of interdisciplinary insights. Leveraging the AI's quantification of coolness alongside traditional economic analyses fostered a holistic understanding of the peculiar association under scrutiny, akin to reconciling mathematical models with real-world phenomena.

The juxtaposition of these divergent modalities echoed the fusion of calculus and crude, illuminating a novel dimension of interdisciplinary research and underscoring the unexpected interplay between mathematical engagement and resource usage. The adoption of such an integrative approach not only fortified the validity of the findings but also exemplified the potential for collaboration between seemingly disparate fields, much like the unanticipated camaraderie between esoteric math concepts and pragmatic economic dynamics.

In conclusion, the methodology encompassing data collection, statistical scrutiny, and interdisciplinary synthesis, fortified by a dash of humor, unearthed the underlying intricacies and implications of the enigmatic correlation between 3Blue1Brown video titles and petroleum consumption in Turkmenistan—an inquiry that, much like a good dad joke, captivated attention and left lasting impressions.

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 How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from AI analysis of YouTube video titles and Energy Information Administration .

For the time period 2015 to 2021, you found a correlation 0.9243418, r-squared of 0.8544078, 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]]
"From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan"

[[ABSTRACT]]
This study investigates the unexpected and seemingly arcane relationship between 3Blue1Brown YouTube video titles and petroleum consumption in Turkmenistan. Using data from AI analysis of video titles from Grant Sanderson's popular channel and Petroleum Consumption statistics from the Energy Information Administration, we explored the potential impact of visually stimulating math explanations on a country's demand for crude oil. The findings reveal a surprisingly strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan, with a correlation coefficient of 0.9243418 and p < 0.01 for the period spanning from 2015 to 2021.

As we delved into the data, it became evident that the coolness factor of the video titles, as perceived by both human and AI observers, had a palpable effect on the petroleum consumption patterns in Turkmenistan. This unexpected, yet intriguing relationship prompts one to ponder the influence of engaging mathematics content on seemingly unrelated economic variables. It seems that even in the realm of petroleum consumption, the allure of differential equations and linear algebra cannot be discounted.

While this connection may seem as perplexing as trying to integrate e^x without the constant of integration, the evidence is clear - there is a tangible association between the captivating nature of 3Blue1Brown video titles and the demand for petroleum in Turkmenistan. Perhaps, in the grand scheme of things, intriguing math videos do have the potential to fuel a country's economic activity - though not in the way one might initially expect.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the saying goes, "When life gives you 3Blue1Brown video titles, make petrol-eum consumption correlations!" In the realm of unexpected research connections, the link between the captivating titles of 3Blue1Brown's YouTube videos and the petroleum consumption trends in Turkmenistan certainly stands out.
It is a truth universally acknowledged that a good pun in an academic paper can either be a welcome surprise or a groan-inducing experience, much like finding a derivative using the quotient rule. Nevertheless, the unusual relationship we explore in this paper adds a lighthearted twist to the typically serious study of economic determinants.
The surprising confluence of math video coolness and fuel demand leads one to wonder whether there is a hidden hand—albeit not the kind one would find in a probability distribution—guiding economic behaviors. The prospect of math-infused video titles shaping a nation's gasoline usage may appear as improbable as discovering a Taylor series expansion for a piecewise function, yet the statistical evidence cannot be ignored.
While some may find it hard to believe that the mesmerizing allure of mathematical concepts can impact a country's energy consumption, the data speak for themselves, much like a rigorous proof settling any debate. The implications of this correlation stretch far beyond the realm of calculus and differential equations, touching upon the intersection of educational content and economic activity—a fusion one might aptly describe as "calc to crude."
This investigation aims to shed light on this obscure, yet undeniably entertaining, relationship, confronting the age-old paradox: can the enchanting world of math, through its popularization in online video titles, indeed influence the demand for petroleum resources in Turkmenistan? With that question in mind, let us now delve into the methodology and findings that underpin this peculiar, albeit fascinating, connection.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The analysis of the data revealed a remarkably strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. The correlation coefficient of 0.9243418 suggests a robust positive relationship between these seemingly unrelated variables. This finding may cause one to wonder whether mathematical elegance has the potential to fuel not only the intellect but also a nation's thirst for petroleum - talk about a derivative of unexpected outcomes!

The high r-squared value of 0.8544078 indicates that approximately 85.44% of the variability in petroleum consumption in Turkmenistan can be explained by the coolness of 3Blue1Brown video titles. This significant explanatory power astonishes much like the solution to a particularly vexing optimization problem - it's not just any local maximum, it's the global solution to the question of pop math impacting the liquid commodity.

Additionally, the p-value being less than 0.01 provides strong evidence against the null hypothesis and supports the existence of a genuine connection between the visual appeal of math-focused content and the demand for petroleum. One might say it's as clear as a well-constructed proof that the allure of mathematical concepts holds real weight in shaping this particular economic variable.

The scatterplot depicting the correlation (Fig. 1) further emphasizes the unmistakable linear relationship between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. Much like the integral of a constant, this connection appears to persist consistently across the years under study, without fluctuating erratically - a true example of steady, predictable behavior in an otherwise complex economic landscape.

In summary, the results of this investigation indicate a compelling association between the coolness factor of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. This correlation begs the question: who knew that math could have such a profound impact on a nation's demand for crude oil? It seems that in the world of economics, just as in math, there are always unexpected constants.

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 How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
"From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan"

[[ABSTRACT]]
This study investigates the unexpected and seemingly arcane relationship between 3Blue1Brown YouTube video titles and petroleum consumption in Turkmenistan. Using data from AI analysis of video titles from Grant Sanderson's popular channel and Petroleum Consumption statistics from the Energy Information Administration, we explored the potential impact of visually stimulating math explanations on a country's demand for crude oil. The findings reveal a surprisingly strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan, with a correlation coefficient of 0.9243418 and p < 0.01 for the period spanning from 2015 to 2021.

As we delved into the data, it became evident that the coolness factor of the video titles, as perceived by both human and AI observers, had a palpable effect on the petroleum consumption patterns in Turkmenistan. This unexpected, yet intriguing relationship prompts one to ponder the influence of engaging mathematics content on seemingly unrelated economic variables. It seems that even in the realm of petroleum consumption, the allure of differential equations and linear algebra cannot be discounted.

While this connection may seem as perplexing as trying to integrate e^x without the constant of integration, the evidence is clear - there is a tangible association between the captivating nature of 3Blue1Brown video titles and the demand for petroleum in Turkmenistan. Perhaps, in the grand scheme of things, intriguing math videos do have the potential to fuel a country's economic activity - though not in the way one might initially expect.

[[LITERATURE REVIEW]]
The relationship between YouTube video titles and economic indicators has been a subject of interest in recent literature. Smith et al. (2018) examined the impact of clickbait titles on online consumer behavior, while Doe and Jones (2019) investigated the correlation between video title lengths and advertising revenues. However, the specific link between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan has remained unexplored until now.
In "Book," the authors find that captivating and visually stimulating content can sway consumer preferences, but they do not delve into the realm of mathematical explanations. Similarly, in "Another Book," the focus is on the influence of social media content on energy consumption patterns, neglecting the unique impact of math-focused video titles.
Turning to non-fiction literature, "The Prize" by Daniel Yergin provides a comprehensive account of the history and economics of the global petroleum industry. Meanwhile, "Energy and Civilization" by Vaclav Smil offers insights into the interplay between energy transitions and societal developments, though the specific influence of math-themed YouTube videos is not addressed in these works.
In the realm of fiction, books like "The Calculus Diaries" by Jennifer Ouellette and "An Abundance of Katherines" by John Green explore mathematical concepts in engaging narratives. While these works do not directly address petroleum consumption, they do highlight the profound impact of math on human thought and behavior. One might even say they integrate compelling storytelling with integrals quite seamlessly.
Additionally, anecdotal evidence gleaned from social media posts has hinted at a potential link between the coolness of 3Blue1Brown video titles and viewer engagement. One user quipped, "These titles are so 'sinfully' cool, they should come with 'tan-ning' beds!" while another remarked, "Watching 3Blue1Brown feels like a Taylor series expansion - it just keeps going and going, and you can't help but get sucked in!"
Despite the lack of direct scholarly inquiry into this phenomenon, the existing literature and social discourse offer intriguing glimpses into the potential impact of math-focused content on consumer behavior and preferences.

[[RESULTS]]
The analysis of the data revealed a remarkably strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. The correlation coefficient of 0.9243418 suggests a robust positive relationship between these seemingly unrelated variables. This finding may cause one to wonder whether mathematical elegance has the potential to fuel not only the intellect but also a nation's thirst for petroleum - talk about a derivative of unexpected outcomes!
The high r-squared value of 0.8544078 indicates that approximately 85.44% of the variability in petroleum consumption in Turkmenistan can be explained by the coolness of 3Blue1Brown video titles. This significant explanatory power astonishes much like the solution to a particularly vexing optimization problem - it's not just any local maximum, it's the global solution to the question of pop math impacting the liquid commodity.
Additionally, the p-value being less than 0.01 provides strong evidence against the null hypothesis and supports the existence of a genuine connection between the visual appeal of math-focused content and the demand for petroleum. One might say it's as clear as a well-constructed proof that the allure of mathematical concepts holds real weight in shaping this particular economic variable.
The scatterplot depicting the correlation (Fig. 1) further emphasizes the unmistakable linear relationship between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. Much like the integral of a constant, this connection appears to persist consistently across the years under study, without fluctuating erratically - a true example of steady, predictable behavior in an otherwise complex economic landscape.
In summary, the results of this investigation indicate a compelling association between the coolness factor of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. This correlation begs the question: who knew that math could have such a profound impact on a nation's demand for crude oil? It seems that in the world of economics, just as in math, there are always unexpected constants.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

The findings of this study not only confirm but also extend the existing literature on the impact of captivating content on consumer behavior and economic indicators. The correlation discovered between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan aligns with prior research on the influence of visually stimulating material on consumer preferences, albeit in a context as unexpected as a surprise Taylor series expansion. Smith et al. (2018) and Doe and Jones (2019) provided initial glimpses into the sway of video titles on online behavior, but they did not anticipate the potential influence of mathematically engaging content on an essential economic variable.

Furthermore, the remarkably strong correlation coefficient and high explanatory power of the coolness factor of 3Blue1Brown video titles on petroleum consumption in Turkmenistan provide compelling evidence in support of the hypothesis that engaging math explanations have a palpable impact on a country's demand for crude oil. This unexpected finding echoes the comedic twist of a well-timed math pun - it may seem surprising, but the evidence supports its impact with a resounding punchline.

The unexpectedly low p-value further reinforces the robustness of the relationship. In this sense, the influence of 3Blue1Brown video titles on petroleum consumption is as evident as a well-drawn graph on a Cartesian plane. The clear linear relationship depicted in the scatterplot also supports the notion that the coolness factor of the video titles consistently influences petroleum consumption without erratic fluctuations - a steady relationship more reliable than even the most consistent exponential growth.

In light of these results, it appears that the allure of captivating math content extends beyond the realms of academia and spills over into the economic sphere, much like a pesky variable that constantly reappears in different equations. This unexpected but unequivocal association prompts a reevaluation of the potential impact of engaging math content on diverse aspects of human behavior and decision-making, as well as on fortified petrol tanks in far-off lands.

Thus, it seems that the coolness of 3Blue1Brown video titles holds substantial weight in shaping the demand for crude oil in Turkmenistan. As the saying goes, "There's a fine line between a numerator and a denominator," and it appears that the coolness of math video titles does indeed occupy a unique position in influencing economic variables.

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 How cool 3Blue1Brown YouTube video titles are and Petroluem consumption in Turkmenistan. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
"From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan"

[[ABSTRACT]]
This study investigates the unexpected and seemingly arcane relationship between 3Blue1Brown YouTube video titles and petroleum consumption in Turkmenistan. Using data from AI analysis of video titles from Grant Sanderson's popular channel and Petroleum Consumption statistics from the Energy Information Administration, we explored the potential impact of visually stimulating math explanations on a country's demand for crude oil. The findings reveal a surprisingly strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan, with a correlation coefficient of 0.9243418 and p < 0.01 for the period spanning from 2015 to 2021.

As we delved into the data, it became evident that the coolness factor of the video titles, as perceived by both human and AI observers, had a palpable effect on the petroleum consumption patterns in Turkmenistan. This unexpected, yet intriguing relationship prompts one to ponder the influence of engaging mathematics content on seemingly unrelated economic variables. It seems that even in the realm of petroleum consumption, the allure of differential equations and linear algebra cannot be discounted.

While this connection may seem as perplexing as trying to integrate e^x without the constant of integration, the evidence is clear - there is a tangible association between the captivating nature of 3Blue1Brown video titles and the demand for petroleum in Turkmenistan. Perhaps, in the grand scheme of things, intriguing math videos do have the potential to fuel a country's economic activity - though not in the way one might initially expect.

[[INTRDUCTION]]
As the saying goes, "When life gives you 3Blue1Brown video titles, make petrol-eum consumption correlations!" In the realm of unexpected research connections, the link between the captivating titles of 3Blue1Brown's YouTube videos and the petroleum consumption trends in Turkmenistan certainly stands out.
It is a truth universally acknowledged that a good pun in an academic paper can either be a welcome surprise or a groan-inducing experience, much like finding a derivative using the quotient rule. Nevertheless, the unusual relationship we explore in this paper adds a lighthearted twist to the typically serious study of economic determinants.
The surprising confluence of math video coolness and fuel demand leads one to wonder whether there is a hidden hand—albeit not the kind one would find in a probability distribution—guiding economic behaviors. The prospect of math-infused video titles shaping a nation's gasoline usage may appear as improbable as discovering a Taylor series expansion for a piecewise function, yet the statistical evidence cannot be ignored.
While some may find it hard to believe that the mesmerizing allure of mathematical concepts can impact a country's energy consumption, the data speak for themselves, much like a rigorous proof settling any debate. The implications of this correlation stretch far beyond the realm of calculus and differential equations, touching upon the intersection of educational content and economic activity—a fusion one might aptly describe as "calc to crude."
This investigation aims to shed light on this obscure, yet undeniably entertaining, relationship, confronting the age-old paradox: can the enchanting world of math, through its popularization in online video titles, indeed influence the demand for petroleum resources in Turkmenistan? With that question in mind, let us now delve into the methodology and findings that underpin this peculiar, albeit fascinating, connection.

[[RESULTS]]
The analysis of the data revealed a remarkably strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. The correlation coefficient of 0.9243418 suggests a robust positive relationship between these seemingly unrelated variables. This finding may cause one to wonder whether mathematical elegance has the potential to fuel not only the intellect but also a nation's thirst for petroleum - talk about a derivative of unexpected outcomes!
The high r-squared value of 0.8544078 indicates that approximately 85.44% of the variability in petroleum consumption in Turkmenistan can be explained by the coolness of 3Blue1Brown video titles. This significant explanatory power astonishes much like the solution to a particularly vexing optimization problem - it's not just any local maximum, it's the global solution to the question of pop math impacting the liquid commodity.
Additionally, the p-value being less than 0.01 provides strong evidence against the null hypothesis and supports the existence of a genuine connection between the visual appeal of math-focused content and the demand for petroleum. One might say it's as clear as a well-constructed proof that the allure of mathematical concepts holds real weight in shaping this particular economic variable.
The scatterplot depicting the correlation (Fig. 1) further emphasizes the unmistakable linear relationship between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. Much like the integral of a constant, this connection appears to persist consistently across the years under study, without fluctuating erratically - a true example of steady, predictable behavior in an otherwise complex economic landscape.
In summary, the results of this investigation indicate a compelling association between the coolness factor of 3Blue1Brown video titles and petroleum consumption in Turkmenistan. This correlation begs the question: who knew that math could have such a profound impact on a nation's demand for crude oil? It seems that in the world of economics, just as in math, there are always unexpected constants.

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, the findings of this study underscore the unexpectedly potent relationship between the captivating allure of 3Blue1Brown video titles and the consumption of petroleum in Turkmenistan. It appears that the visual appeal of math-imbued content has a palpable effect on the demand for crude oil, leaving us to ponder the unforeseen influence of mathematically stimulating media on a nation's economic activity. One might even say that these findings are as surprising as finding out that 3Blue1Brown is secretly a derivative - it just keeps producing more and more connections!

Furthermore, the statistical evidence presented in this analysis suggests an undeniable correlation between the coolness of the YouTube video titles and the country's petroleum consumption. This relationship is as robust as the foundation of calculus itself, prompting us to reconsider the underappreciated influence of engaging mathematical explanations on economic variables. Indeed, one might even posit that 3Blue1Brown's videos are not just educating, they're petro-leuminating!

Having uncovered such a compelling connection between the seemingly unrelated domains of math video titles and fuel demand, it becomes increasingly apparent that further investigations into these uncharted territories could yield even more surprising results. Nevertheless, it's hard to imagine what more surprises could be uncovered in this seemingly quirky relationship - after all, there's only so much petrol-eum for unexpected correlations one can handle!

In light of the compelling evidence presented, it is evident that no further research in this area is needed. The unexpected and engaging nature of these findings leave us with the unshakeable conviction that, when it comes to the connection between 3Blue1Brown video titles and petroleum consumption in Turkmenistan, this study has undoubtedly integrated the last piece in the puzzle.

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 From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Cross-Disciplinary 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 From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Applied Mathematics and Global Resource Consumption

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 From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan with an abstract of This study investigates the unexpected and seemingly arcane relationship between 3Blue1Brown YouTube video titles and petroleum consumption in Turkmenistan. Using data from AI analysis of video titles from Grant Sanderson's popular channel and Petroleum Consumption statistics from the Energy Information Administration, we explored the potential impact of visually stimulating math explanations on a country's demand for crude oil. The findings reveal a surprisingly strong correlation between the coolness of 3Blue1Brown video titles and petroleum consumption in Turkmenistan, with a correlation coefficient of 0.9243418 and p < 0.01 for the period spanning from 2015 to 2021.
As we delved into the data, it became evident that the coolness factor of the video titles, as perceived by both human and AI observers, had a palpable effect on the petroleum consumption patterns in Turkmenistan. This unexpected, yet intriguing relationship prompts one to ponder the influence of engaging mathematics content on seemingly unrelated economic variables. It seems that even in the realm of petroleum consumption, the allure of differential equations and linear algebra cannot be discounted.
While this connection may seem as perplexing as trying to integrate e^x without the constant of integration, the evidence is clear - there is a tangible association between the captivating nature of 3Blue1Brown video titles and the demand for petroleum in Turkmenistan. Perhaps, in the grand scheme of things, intriguing math videos do have the potential to fuel a country's economic activity - though not in the way one might initially expect.

ChatGPT:

3Blue1Brown, YouTube video titles, Grant Sanderson, petroleum consumption, Turkmenistan, correlation, AI analysis, Energy Information Administration, math explanations, crude oil demand, coolness factor, data analysis, petroleum consumption patterns, engaging mathematics content, economic variables, differential equations, linear algebra, social influence, economic activity

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

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Data details

How cool 3Blue1Brown YouTube video titles are
Detailed data title: How cool 3Blue1Brown YouTube video titles are, as rated by an AI.
Source: AI analysis of YouTube video titles
Additional Info: ^{See full details} I asked a large language model, 'On a scale of 1-10, how _______ do you think this YouTube video title is?' for every video.

See what else correlates with How cool 3Blue1Brown YouTube video titles are

Petroluem consumption in Turkmenistan
Detailed data title: Volume of petroluem consumption consumed in Turkmenistan in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Petroluem consumption in Turkmenistan

Correlation r = 0.9243418 (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 = 0.8544078 (Coefficient of determination)
This means 85.4% of the change in the one variable (i.e., Petroluem consumption in Turkmenistan) is predictable based on the change in the other (i.e., How cool 3Blue1Brown YouTube video titles are) over the 7 years from 2015 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.0029.^Show 0.0029024196440532416000000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme.^Note More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.92 in 0.29% of random cases. Said differently, if you correlated 345 random variables^Note Which I absolutely did.
with the same 6 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 6 because we have two variables measured over a period of 7 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.

[ 0.56, 0.99 ] 95% correlation confidence interval (using the Fisher z-transformation)
^{Read more about the confidence interval} The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!

All values for the years included above: ^Note If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.

	2015	2016	2017	2018	2019	2020	2021
How cool 3Blue1Brown YouTube video titles are (Coolness score (out of 10))	6.4286	5.7917	5.8571	6.75	6.9333	6.5714	6.5714
Petroluem consumption in Turkmenistan (Million Barrels/Day)	151	149	150.592	152.136	153.406	152.186	152.548

Why this works

Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
Lack of causal connection: There is probably^Note Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple^Note Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
Very low n: There are not many data points included in this analysis. Even if the p-value is high, we should be suspicious of using so few datapoints in a correlation.

Try it yourself

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

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

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

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

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

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

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

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

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

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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([6.4286,5.7917,5.8571,6.75,6.9333,6.5714,6.5714,])
array_2 = np.array([151,149,150.592,152.136,153.406,152.186,152.548,])
array_1_name = "How cool 3Blue1Brown YouTube video titles are"
array_2_name = "Petroluem consumption in Turkmenistan"

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

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

Reuseable content

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

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

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

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

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

Download images for these variables:

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

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

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
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Line chart for only How cool 3Blue1Brown YouTube video titles are
Line chart for only Petroluem consumption in Turkmenistan
AI-generated correlation image
The spurious research paper: From Calc to Crude: A Correlation Between 3Blue1Brown Video Titles and Petroleum Consumption in Turkmenistan

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Correlation ID: 5801 · Black Variable ID: 25817 · Red Variable ID: 25018


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