Spurious correlation #5,236 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Number of websites on the internet and the second variable is Total wind power generated globally. The chart goes from 1991 to 2018, 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 Number of websites on the internet and the second variable is Total wind power generated globally. The chart goes from 1991 to 2018, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As the internet expanded, it created a surge in cat video consumption. This led to an increase in laughter around the world, which in turn resulted in stronger and more frequent gusts of wind, ultimately boosting the total wind power generated globally. Remember, laughter is truly the best renewable energy source!

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image where a vast expanse of the internet is represented by countless interconnected websites, spreading out like a web. In the background, there is a network of wind turbines with their blades spinning vigorously, generating copious amounts of wind power. Within this setting, people from around the world are depicted happily watching cat videos on various devices, and their laughter is depicted as colorful, swirling gusts of wind playfully intertwining with the turbine blades, symbolizing the direct link between internet usage, laughter, and renewable energy generation. Capture the joy and interconnectivity of the scene, keeping the visualization simple and not including 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: Number of websites on the internet and Total wind power generated globally. 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 Glitch art Photorealism Cubism a funny image macro
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 Number of websites on the internet and Total wind power generated globally, in the following situation: As the internet expanded, it created a surge in cat video consumption. This led to an increase in laughter around the world, which in turn resulted in stronger and more frequent gusts of wind, ultimately boosting the total wind power generated globally. Remember, laughter is truly the best renewable energy source!. Keep the description simple.
ChatGPT: In the scene, a vast expanse of the internet is represented by countless interconnected websites spreading out like a web. Meanwhile, a network of wind turbines with their blades spinning vigorously can be seen in the background, generating copious amounts of wind power. Within this setting, people from around the world are depicted happily watching cat videos on various devices, and their laughter is depicted as colorful, swirling gusts of wind playfully intertwining with the turbine blades, symbolizing the direct link between internet usage, laughter, and renewable energy generation.

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 the scene, a vast expanse of the internet is represented by countless interconnected websites spreading out like a web. Meanwhile, a network of wind turbines with their blades spinning vigorously can be seen in the background, generating copious amounts of wind power. Within this setting, people from around the world are depicted happily watching cat videos on various devices, and their laughter is depicted as colorful, swirling gusts of wind playfully intertwining with the turbine blades, symbolizing the direct link between internet usage, laughter, and renewable energy generation. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image where a vast expanse of the internet is represented by countless interconnected websites, spreading out like a web. In the background, there is a network of wind turbines with their blades spinning vigorously, generating copious amounts of wind power. Within this setting, people from around the world are depicted happily watching cat videos on various devices, and their laughter is depicted as colorful, swirling gusts of wind playfully intertwining with the turbine blades, symbolizing the direct link between internet usage, laughter, and renewable energy generation. Capture the joy and interconnectivity of the scene, keeping the visualization simple and not including 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 humerus 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 Number of websites on the internet caused Total wind power generated globally to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)

Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation

The Journal of Renewables and Cyberspace Engineering

Jan 2024

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

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

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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Number of websites on the internet and Total wind power generated globally. 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 name a few real TV shows that sound like they might be relevant to the topic that you watched as research.

Here is the title and abstract of the paper:
[[TITLE]]
"Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation"

[[ABSTRACT]]
In this paper, we examine the curious relationship between the expansive world of web domains and the gusty world of wind power generation. Utilizing data from Internet Live Stats and the Energy Information Administration, our research team delved into the evolution of the internet and the global generation of wind power from 1991 to 2018. Our findings revealed a striking correlation coefficient of 0.9784944 and a p-value of less than 0.01, suggesting a strong statistical connection between the number of websites on the internet and the total wind power generated globally.

Much like a good dad joke, the correlation between these two seemingly disparate entities sneaks up on you, leaving you simultaneously puzzled and amused. As the internet continues to expand at an exponential rate, so does the generation of wind power, hinting at the hidden energies that intertwine our digital and environmental spheres.

The findings of our study not only highlight the surprising synchrony between cyberspace and wind power, but they also underscore the importance of considering unconventional factors in energy research. Just as every dad joke contains a kernel of humor waiting to be uncovered, the relationship between web domains and wind power exposes the unexpected connections that permeate our modern world.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the modern world becomes increasingly digitized, with more web domains popping up than daisies in spring, the demand for sustainable energy sources has also soared. It's like the internet and renewable energy are in a race to see who can expand faster - talk about a "renewable race"!
The Internet, that vast expanse of cat videos and memes, has seen exponential growth since its inception, mirroring the proliferation of wind turbines dotting landscapes around the globe. It's like the World Wide Web and wind power are in a game of tag, constantly trying to keep up with each other!
In this study, we set out to uncover the enigmatic relationship between the number of websites on the internet and the total wind power generated globally. We wanted to add some "watt" to our understanding of the intricate web of connections in our digital and physical worlds. Get it? "Watt"? Because of electricity? No? Tough crowd.
Our investigation utilized data from Internet Live Stats and the Energy Information Administration, carefully studying the period from 1991 to 2018. We wanted to see if there was more to this correlation than meets the "i" - you know, like "eye" as in internet? Okay, okay, I'll stop.
Our findings revealed a remarkably high correlation coefficient of 0.9784944, along with a p-value of less than 0.01. To put it simply, it seems that the growth of the internet and the generation of wind power are as tightly linked as a pair of twins playing tug-of-war. It's like they're saying, "You can't grow without me!"
This unexpected closeness between the technological realm and renewable energy production raises intriguing questions about the hidden forces shaping our modern world. It's as if the internet and wind power are part of some intricate dance, with each move elegantly complementing the other. Kind of like a choreographed routine at a dad-daughter dance – graceful and surprising at the same time.
Delving into this unusual connection not only sheds light on the intertwined dynamics of our digital and ecological landscapes but also emphasizes the need to embrace unconventional perspectives in energy research. It's like uncovering a hidden joke in a serious conversation - there's more there than meets the eye, or in this case, the 'i'.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

In a seminal study by Smith and colleagues (2010), the potential relationship between the exponential growth of the internet and the rise in wind power generation is examined. The authors suggest that as more websites emerge, there may be a corresponding increase in the harnessing of wind energy. It's like the internet is whispering to the wind turbines, "Gusty up, buddy!"

Jones (2014) further explores this connection, proposing that the spread of online domains creates a virtual wind of change, influencing the global production of wind power. It's like the internet is saying, "I've got some domain influence in this wind power game!"

A comprehensive analysis of digital expansion and renewable energy production is provided by Doe et al. (2017), illuminating the potential interplay between cyberspace and wind power. The authors posit that the proliferation of web domains could act as a catalyst for a breezy surge in wind-generated electricity. It's like the internet is telling wind power, "You can't 'domain' without me!"

As we venture into the literary landscape surrounding this topic, it is essential to consider non-fiction works that have relevance to our research. "The Wind in the Willows" by Kenneth Grahame presents a whimsical narrative of anthropomorphic animals and their adventures, reminding us that even in the natural world, the wind holds sway. It is almost like the Internet, lively and ever-changing, is akin to the wind, blowing through our digital lives.

Another significant non-fiction work, "Blowing in the Wind: The Renewable Energy Revolution" by Larry Hodges, explores the advancements in wind power technology, providing insights into the potential impact of virtual domains on renewable energy adoption. It's like the internet and wind power are engaging in a silent, yet powerful, dialogue across the pages of this book.

In the realm of fiction, we encounter "The Kite Runner" by Khaled Hosseini, a poignant tale of redemption and the enduring power of friendship. While kites may not be turbines, both harness the force of the wind, evoking a metaphorical resonance with the intricate relationship between the internet and wind power. It's like the internet is flying high, while wind power gives it a helping hand. Seriously, no pun needed here – the wind is already doing the heavy lifting!

On the screen, we find ourselves drawn to TV shows such as "The Windy City Rehab" and "The Internet Ruined My Life," both offering glimpses into the potential intersection of digital expansion and environmental impact. It's like the internet and wind power are competing for our attention, with one blowing gusts of information while the other harnesses gusts of air. But hey, we don't want any "hot air" in our research – just cold, hard facts.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between Number of websites on the internet and Total wind power generated globally. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Internet Live Stats and Energy Information Administration . You used data from 1991 to 2018

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]]
"Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation"

[[ABSTRACT]]
In this paper, we examine the curious relationship between the expansive world of web domains and the gusty world of wind power generation. Utilizing data from Internet Live Stats and the Energy Information Administration, our research team delved into the evolution of the internet and the global generation of wind power from 1991 to 2018. Our findings revealed a striking correlation coefficient of 0.9784944 and a p-value of less than 0.01, suggesting a strong statistical connection between the number of websites on the internet and the total wind power generated globally.

Much like a good dad joke, the correlation between these two seemingly disparate entities sneaks up on you, leaving you simultaneously puzzled and amused. As the internet continues to expand at an exponential rate, so does the generation of wind power, hinting at the hidden energies that intertwine our digital and environmental spheres.

The findings of our study not only highlight the surprising synchrony between cyberspace and wind power, but they also underscore the importance of considering unconventional factors in energy research. Just as every dad joke contains a kernel of humor waiting to be uncovered, the relationship between web domains and wind power exposes the unexpected connections that permeate our modern world.

[[INTRODUCTION]]
As the modern world becomes increasingly digitized, with more web domains popping up than daisies in spring, the demand for sustainable energy sources has also soared. It's like the internet and renewable energy are in a race to see who can expand faster - talk about a "renewable race"!
The Internet, that vast expanse of cat videos and memes, has seen exponential growth since its inception, mirroring the proliferation of wind turbines dotting landscapes around the globe. It's like the World Wide Web and wind power are in a game of tag, constantly trying to keep up with each other!
In this study, we set out to uncover the enigmatic relationship between the number of websites on the internet and the total wind power generated globally. We wanted to add some "watt" to our understanding of the intricate web of connections in our digital and physical worlds. Get it? "Watt"? Because of electricity? No? Tough crowd.
Our investigation utilized data from Internet Live Stats and the Energy Information Administration, carefully studying the period from 1991 to 2018. We wanted to see if there was more to this correlation than meets the "i" - you know, like "eye" as in internet? Okay, okay, I'll stop.
Our findings revealed a remarkably high correlation coefficient of 0.9784944, along with a p-value of less than 0.01. To put it simply, it seems that the growth of the internet and the generation of wind power are as tightly linked as a pair of twins playing tug-of-war. It's like they're saying, "You can't grow without me!"
This unexpected closeness between the technological realm and renewable energy production raises intriguing questions about the hidden forces shaping our modern world. It's as if the internet and wind power are part of some intricate dance, with each move elegantly complementing the other. Kind of like a choreographed routine at a dad-daughter dance – graceful and surprising at the same time.
Delving into this unusual connection not only sheds light on the intertwined dynamics of our digital and ecological landscapes but also emphasizes the need to embrace unconventional perspectives in energy research. It's like uncovering a hidden joke in a serious conversation - there's more there than meets the eye, or in this case, the 'i'.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

To untangle the perplexing web of connections between the number of websites on the internet and the total wind power generated globally, our research team employed a combination of traditional statistical analyses and some out-of-the-box thinking - after all, who wouldn't want to "wind" down with a good statistical analysis?

First, we meticulously gathered data on the number of websites on the internet from Internet Live Stats, taking care to account for the myriad new sites being born into the digital universe faster than you can say "www dot." We then turned our attention to the global wind power generation data provided by the Energy Information Administration, where we observed the spiraling growth of renewable energy production over the years. It's like watching a wind turbine stretch its blades in the digital wind of the internet, ready to generate some serious data power!

With these data sets in hand, we conducted a thorough statistical analysis, employing complex methods like regression and time series analysis to reveal the hidden relationship between these two seemingly unrelated realms. It's like using a high-powered magnifying glass to spot a pun in a sea of serious data - a surprisingly satisfying endeavor.

Additionally, we couldn't resist incorporating a touch of whimsy into our analysis by performing a symbolic correlation analysis (SYMP) - because let's face it, where's the fun in stacking up data without exploring the metaphorical dance between internet domains and wind power? It's like watching a dad joke unfold in real-time - you're not quite sure where it's going, but the payoff is worth it!

Our approach not only adhered to the rigorous standards of quantitative research but also embraced the potential for unexpected discoveries at the intersection of digital proliferation and sustainable energy production. It's like sifting through a digital haystack to find the wind-powered needle - a task both daunting and exhilarating.

Furthermore, we carefully considered the temporal aspect of our data, recognizing the dynamic nature of both internet expansion and wind power generation. We didn't want to overlook any subtle shifts that could provide valuable insights into the evolving relationship between cyberspace and wind-whipped power. It's like trying to capture the fleeting essence of a dad joke before it sails off into the horizon - a delightful challenge indeed.

By combining meticulous data collection, rigorous statistical techniques, and a dash of creative flair, our methodology sought to illuminate the captivating synergy between the digital expanse and the renewable energy landscape. It's like peeling back the layers of a pun to reveal the clever wordplay within – a revealing and rewarding endeavor.

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

Please make up the results section of an academic research paper presenting the findings of the connection between Number of websites on the internet and Total wind power generated globally. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Internet Live Stats and Energy Information Administration .

For the time period 1991 to 2018, you found a correlation 0.9784944, r-squared of 0.9574513, 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]]
"Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation"

[[ABSTRACT]]
In this paper, we examine the curious relationship between the expansive world of web domains and the gusty world of wind power generation. Utilizing data from Internet Live Stats and the Energy Information Administration, our research team delved into the evolution of the internet and the global generation of wind power from 1991 to 2018. Our findings revealed a striking correlation coefficient of 0.9784944 and a p-value of less than 0.01, suggesting a strong statistical connection between the number of websites on the internet and the total wind power generated globally.

Much like a good dad joke, the correlation between these two seemingly disparate entities sneaks up on you, leaving you simultaneously puzzled and amused. As the internet continues to expand at an exponential rate, so does the generation of wind power, hinting at the hidden energies that intertwine our digital and environmental spheres.

The findings of our study not only highlight the surprising synchrony between cyberspace and wind power, but they also underscore the importance of considering unconventional factors in energy research. Just as every dad joke contains a kernel of humor waiting to be uncovered, the relationship between web domains and wind power exposes the unexpected connections that permeate our modern world.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the modern world becomes increasingly digitized, with more web domains popping up than daisies in spring, the demand for sustainable energy sources has also soared. It's like the internet and renewable energy are in a race to see who can expand faster - talk about a "renewable race"!
The Internet, that vast expanse of cat videos and memes, has seen exponential growth since its inception, mirroring the proliferation of wind turbines dotting landscapes around the globe. It's like the World Wide Web and wind power are in a game of tag, constantly trying to keep up with each other!
In this study, we set out to uncover the enigmatic relationship between the number of websites on the internet and the total wind power generated globally. We wanted to add some "watt" to our understanding of the intricate web of connections in our digital and physical worlds. Get it? "Watt"? Because of electricity? No? Tough crowd.
Our investigation utilized data from Internet Live Stats and the Energy Information Administration, carefully studying the period from 1991 to 2018. We wanted to see if there was more to this correlation than meets the "i" - you know, like "eye" as in internet? Okay, okay, I'll stop.
Our findings revealed a remarkably high correlation coefficient of 0.9784944, along with a p-value of less than 0.01. To put it simply, it seems that the growth of the internet and the generation of wind power are as tightly linked as a pair of twins playing tug-of-war. It's like they're saying, "You can't grow without me!"
This unexpected closeness between the technological realm and renewable energy production raises intriguing questions about the hidden forces shaping our modern world. It's as if the internet and wind power are part of some intricate dance, with each move elegantly complementing the other. Kind of like a choreographed routine at a dad-daughter dance – graceful and surprising at the same time.
Delving into this unusual connection not only sheds light on the intertwined dynamics of our digital and ecological landscapes but also emphasizes the need to embrace unconventional perspectives in energy research. It's like uncovering a hidden joke in a serious conversation - there's more there than meets the eye, or in this case, the 'i'.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The analysis of the data from 1991 to 2018 revealed a remarkably strong correlation between the number of websites on the internet and the total wind power generated globally. The correlation coefficient of 0.9784944 indicates a near-perfect positive relationship between these two variables. It's as if they're doing a synchronized dance, with the internet whispering, "You spin me right round, baby, right round," to wind power.

The r-squared value of 0.9574513 further supports the robustness of this relationship, explaining approximately 95.7% of the variation in global wind power generation based on the number of websites. It's like we've found the missing puzzle piece that fits perfectly into this digital-wind power connection, completing the picture with a satisfying click.

When considering statistical significance, the p-value of less than 0.01 provides compelling evidence that the correlation observed is not just a fluke. It's like finding a rare Pokémon card in a deck of ordinary ones – statistically significant and definitely worth showing off to your friends.

As illustrated in Figure 1 (to be included), the scatterplot visually depicts the strong positive correlation between the number of websites on the internet and the total wind power generated globally. It's like a visual representation of two friends walking hand in hand, showing that they're always by each other's side, even when plotted on a graph.

The striking statistical association between these seemingly unrelated phenomena suggests that the growth of the internet and the production of wind power are not just coincidental, but intricately intertwined. It's like they're two peas in a pod, the yin to each other's yang, forming a harmonious duo in the symphony of modern technological and environmental progress.

This unexpected relationship not only reinforces the interconnectedness of digital and physical realms but also emphasizes the need to consider unconventional factors in energy research. It's like stumbling upon a pun in academic literature – a delightful surprise that prompts a chuckle and invites a shift in perspective.

In conclusion, the findings of this study provide compelling evidence of the surprising correlation between the proliferation of websites on the internet and the global generation of wind power. The interconnectedness of these two domains serves as a whimsical reminder of the hidden connections waiting to be unearthed in the tangled web of modern existence.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between Number of websites on the internet and Total wind power generated globally. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
"Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation"

[[ABSTRACT]]
In this paper, we examine the curious relationship between the expansive world of web domains and the gusty world of wind power generation. Utilizing data from Internet Live Stats and the Energy Information Administration, our research team delved into the evolution of the internet and the global generation of wind power from 1991 to 2018. Our findings revealed a striking correlation coefficient of 0.9784944 and a p-value of less than 0.01, suggesting a strong statistical connection between the number of websites on the internet and the total wind power generated globally.

Much like a good dad joke, the correlation between these two seemingly disparate entities sneaks up on you, leaving you simultaneously puzzled and amused. As the internet continues to expand at an exponential rate, so does the generation of wind power, hinting at the hidden energies that intertwine our digital and environmental spheres.

The findings of our study not only highlight the surprising synchrony between cyberspace and wind power, but they also underscore the importance of considering unconventional factors in energy research. Just as every dad joke contains a kernel of humor waiting to be uncovered, the relationship between web domains and wind power exposes the unexpected connections that permeate our modern world.

[[LITERATURE REVIEW]]
In a seminal study by Smith and colleagues (2010), the potential relationship between the exponential growth of the internet and the rise in wind power generation is examined. The authors suggest that as more websites emerge, there may be a corresponding increase in the harnessing of wind energy. It's like the internet is whispering to the wind turbines, "Gusty up, buddy!"
Jones (2014) further explores this connection, proposing that the spread of online domains creates a virtual wind of change, influencing the global production of wind power. It's like the internet is saying, "I've got some domain influence in this wind power game!"
A comprehensive analysis of digital expansion and renewable energy production is provided by Doe et al. (2017), illuminating the potential interplay between cyberspace and wind power. The authors posit that the proliferation of web domains could act as a catalyst for a breezy surge in wind-generated electricity. It's like the internet is telling wind power, "You can't 'domain' without me!"
As we venture into the literary landscape surrounding this topic, it is essential to consider non-fiction works that have relevance to our research. "The Wind in the Willows" by Kenneth Grahame presents a whimsical narrative of anthropomorphic animals and their adventures, reminding us that even in the natural world, the wind holds sway. It is almost like the Internet, lively and ever-changing, is akin to the wind, blowing through our digital lives.
Another significant non-fiction work, "Blowing in the Wind: The Renewable Energy Revolution" by Larry Hodges, explores the advancements in wind power technology, providing insights into the potential impact of virtual domains on renewable energy adoption. It's like the internet and wind power are engaging in a silent, yet powerful, dialogue across the pages of this book.
In the realm of fiction, we encounter "The Kite Runner" by Khaled Hosseini, a poignant tale of redemption and the enduring power of friendship. While kites may not be turbines, both harness the force of the wind, evoking a metaphorical resonance with the intricate relationship between the internet and wind power. It's like the internet is flying high, while wind power gives it a helping hand. Seriously, no pun needed here – the wind is already doing the heavy lifting!
On the screen, we find ourselves drawn to TV shows such as "The Windy City Rehab" and "The Internet Ruined My Life," both offering glimpses into the potential intersection of digital expansion and environmental impact. It's like the internet and wind power are competing for our attention, with one blowing gusts of information while the other harnesses gusts of air. But hey, we don't want any "hot air" in our research – just cold, hard facts.

[[RESULTS]]
The analysis of the data from 1991 to 2018 revealed a remarkably strong correlation between the number of websites on the internet and the total wind power generated globally. The correlation coefficient of 0.9784944 indicates a near-perfect positive relationship between these two variables. It's as if they're doing a synchronized dance, with the internet whispering, "You spin me right round, baby, right round," to wind power.
The r-squared value of 0.9574513 further supports the robustness of this relationship, explaining approximately 95.7% of the variation in global wind power generation based on the number of websites. It's like we've found the missing puzzle piece that fits perfectly into this digital-wind power connection, completing the picture with a satisfying click.
When considering statistical significance, the p-value of less than 0.01 provides compelling evidence that the correlation observed is not just a fluke. It's like finding a rare Pokémon card in a deck of ordinary ones – statistically significant and definitely worth showing off to your friends.
As illustrated in Figure 1 (to be included), the scatterplot visually depicts the strong positive correlation between the number of websites on the internet and the total wind power generated globally. It's like a visual representation of two friends walking hand in hand, showing that they're always by each other's side, even when plotted on a graph.
The striking statistical association between these seemingly unrelated phenomena suggests that the growth of the internet and the production of wind power are not just coincidental, but intricately intertwined. It's like they're two peas in a pod, the yin to each other's yang, forming a harmonious duo in the symphony of modern technological and environmental progress.
This unexpected relationship not only reinforces the interconnectedness of digital and physical realms but also emphasizes the need to consider unconventional factors in energy research. It's like stumbling upon a pun in academic literature – a delightful surprise that prompts a chuckle and invites a shift in perspective.
In conclusion, the findings of this study provide compelling evidence of the surprising correlation between the proliferation of websites on the internet and the global generation of wind power. The interconnectedness of these two domains serves as a whimsical reminder of the hidden connections waiting to be unearthed in the tangled web of modern existence.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

As we unpack the revelatory results of our investigation, it becomes abundantly clear that the proliferation of websites on the internet is intricately linked to the generation of wind power on a global scale. Our findings not only corroborate the prior research by Smith and colleagues (2010) and Jones (2014) but also elevate our understanding of the symbiotic relationship between online domains and renewable energy production. It is as if the internet and wind power are engaged in a pas de deux, swirling around each other in a harmonious dance of digital and environmental influence.

The robust correlation coefficient of 0.9784944 uncovered in our analysis mirrors the unyielding bond between the number of websites and total wind power generated globally. It's like stumbling upon a dad joke in the midst of serious discourse – unexpected, yet undeniably satisfying. The statistical significance of this connection, as demonstrated by the p-value of less than 0.01, reinforces the legitimacy of this unexpected partnership, akin to stumbling upon a rare gem in a sea of ordinary stones.

Our results shed light on the intricate interplay between the exponential growth of the internet and the burgeoning world of wind power generation. It's like witnessing the fusion of two seemingly unrelated elements, discovering that they complement each other in unexpected ways – almost like stumbling upon a joke in a scientific paper.

As we scrutinize the r-squared value of 0.9574513, which accounts for approximately 95.7% of the variation in global wind power generation based on the number of websites, it becomes apparent that this connection is not a mere fluke but a substantial and enduring partnership. It's like finding the perfect punchline to a well-crafted joke, one that ties everything together in a neat, satisfying bow.

The implications of our research extend beyond the realm of data analysis, transcending into the realms of energy policy and technological innovation. By recognizing the entwined fate of the internet and wind power, we are reminded of the unexpected connections that permeate our world – much like finding humor in unexpected places, such as a serious academic paper.

In the wake of these revelatory findings, the need for interdisciplinary collaboration becomes increasingly apparent. Just as the unison of the internet and wind power underscores the vitalness of a diverse approach to energy research, it's as if realizing that a great pun doesn't discriminate between scientific disciplines – it can make an appearance anywhere, much to the delight of its audience.

Our study not only invites further exploration into the intertwined evolution of the digital and environmental spheres but also prompts a paradigm shift in our understanding of the complex web of influences shaping our modern world. It's like stumbling upon a well-crafted dad joke – a delightful surprise that reframes our perspective and infuses levity into the most unexpected of places.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Number of websites on the internet and Total wind power generated globally. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
"Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation"

[[ABSTRACT]]
In this paper, we examine the curious relationship between the expansive world of web domains and the gusty world of wind power generation. Utilizing data from Internet Live Stats and the Energy Information Administration, our research team delved into the evolution of the internet and the global generation of wind power from 1991 to 2018. Our findings revealed a striking correlation coefficient of 0.9784944 and a p-value of less than 0.01, suggesting a strong statistical connection between the number of websites on the internet and the total wind power generated globally.

Much like a good dad joke, the correlation between these two seemingly disparate entities sneaks up on you, leaving you simultaneously puzzled and amused. As the internet continues to expand at an exponential rate, so does the generation of wind power, hinting at the hidden energies that intertwine our digital and environmental spheres.

The findings of our study not only highlight the surprising synchrony between cyberspace and wind power, but they also underscore the importance of considering unconventional factors in energy research. Just as every dad joke contains a kernel of humor waiting to be uncovered, the relationship between web domains and wind power exposes the unexpected connections that permeate our modern world.

[[INTRDUCTION]]
As the modern world becomes increasingly digitized, with more web domains popping up than daisies in spring, the demand for sustainable energy sources has also soared. It's like the internet and renewable energy are in a race to see who can expand faster - talk about a "renewable race"!
The Internet, that vast expanse of cat videos and memes, has seen exponential growth since its inception, mirroring the proliferation of wind turbines dotting landscapes around the globe. It's like the World Wide Web and wind power are in a game of tag, constantly trying to keep up with each other!
In this study, we set out to uncover the enigmatic relationship between the number of websites on the internet and the total wind power generated globally. We wanted to add some "watt" to our understanding of the intricate web of connections in our digital and physical worlds. Get it? "Watt"? Because of electricity? No? Tough crowd.
Our investigation utilized data from Internet Live Stats and the Energy Information Administration, carefully studying the period from 1991 to 2018. We wanted to see if there was more to this correlation than meets the "i" - you know, like "eye" as in internet? Okay, okay, I'll stop.
Our findings revealed a remarkably high correlation coefficient of 0.9784944, along with a p-value of less than 0.01. To put it simply, it seems that the growth of the internet and the generation of wind power are as tightly linked as a pair of twins playing tug-of-war. It's like they're saying, "You can't grow without me!"
This unexpected closeness between the technological realm and renewable energy production raises intriguing questions about the hidden forces shaping our modern world. It's as if the internet and wind power are part of some intricate dance, with each move elegantly complementing the other. Kind of like a choreographed routine at a dad-daughter dance – graceful and surprising at the same time.
Delving into this unusual connection not only sheds light on the intertwined dynamics of our digital and ecological landscapes but also emphasizes the need to embrace unconventional perspectives in energy research. It's like uncovering a hidden joke in a serious conversation - there's more there than meets the eye, or in this case, the 'i'.

[[RESULTS]]
The analysis of the data from 1991 to 2018 revealed a remarkably strong correlation between the number of websites on the internet and the total wind power generated globally. The correlation coefficient of 0.9784944 indicates a near-perfect positive relationship between these two variables. It's as if they're doing a synchronized dance, with the internet whispering, "You spin me right round, baby, right round," to wind power.
The r-squared value of 0.9574513 further supports the robustness of this relationship, explaining approximately 95.7% of the variation in global wind power generation based on the number of websites. It's like we've found the missing puzzle piece that fits perfectly into this digital-wind power connection, completing the picture with a satisfying click.
When considering statistical significance, the p-value of less than 0.01 provides compelling evidence that the correlation observed is not just a fluke. It's like finding a rare Pokémon card in a deck of ordinary ones – statistically significant and definitely worth showing off to your friends.
As illustrated in Figure 1 (to be included), the scatterplot visually depicts the strong positive correlation between the number of websites on the internet and the total wind power generated globally. It's like a visual representation of two friends walking hand in hand, showing that they're always by each other's side, even when plotted on a graph.
The striking statistical association between these seemingly unrelated phenomena suggests that the growth of the internet and the production of wind power are not just coincidental, but intricately intertwined. It's like they're two peas in a pod, the yin to each other's yang, forming a harmonious duo in the symphony of modern technological and environmental progress.
This unexpected relationship not only reinforces the interconnectedness of digital and physical realms but also emphasizes the need to consider unconventional factors in energy research. It's like stumbling upon a pun in academic literature – a delightful surprise that prompts a chuckle and invites a shift in perspective.
In conclusion, the findings of this study provide compelling evidence of the surprising correlation between the proliferation of websites on the internet and the global generation of wind power. The interconnectedness of these two domains serves as a whimsical reminder of the hidden connections waiting to be unearthed in the tangled web of modern existence.

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unraveled a remarkably high correlation between the number of websites on the internet and the total wind power generated globally. It's as if the internet and wind power are engaged in an intricate dance, with the former whispering its HTML secrets to the latter, saying, "I find you very a-muse-ing." This correlation coefficient of 0.9784944 suggests a near-perfect positive relationship between these seemingly unrelated entities, reminiscent of a perfect dad joke - perfectly cheesy and surprisingly endearing.

The robust r-squared value of 0.9574513 further solidifies this connection, explaining approximately 95.7% of the variation in global wind power generation based on the number of websites. It's like finding the perfect punchline to a joke, completing the setup with a satisfying click, leaving the audience nodding in agreement, "Ah, I should've seen that coming."

Moreover, the statistically significant p-value of less than 0.01 provides compelling evidence that this correlation is not a mere fluke, much like finding a rare Pokémon card in a deck of ordinary ones – a rare, valuable find worth celebrating with a victory dance.

As we visually depict this strong positive correlation in Figure 1 (because who doesn't love a good figure?), it becomes apparent that the growth of the internet and the production of wind power are not coincidental but intricately intertwined, like two best friends walking hand in hand, showing that they're always by each other's side, even when plotted on a graph. It's almost as heartwarming as a dad holding his child's hand as they walk to the playground, isn't it?

In light of these findings, it's clear that the relationship between web domains and wind power constitutes a vital component of our modern digital and environmental landscape. Much like a dad's tireless repertoire of puns, this connection serves as a whimsical reminder of the unexpected connections waiting to be unveiled in the convoluted yet harmonious symphony of our modern existence.

Therefore, I state definitively that, much like the definitive quality of a good dad joke, no further research in this particular area is needed. We've successfully uncovered the connection between the number of websites on the internet and the total wind power generated globally, allowing us to rest in the comforting embrace of statistical significance and a good pun.

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 Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Renewables and Cyberspace Engineering

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 Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation. Respond only with the name of a fictional organization.

ChatGPT:

Society for Digital Energy Innovation and Research (SDEIR)

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 Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation with an abstract of In this paper, we examine the curious relationship between the expansive world of web domains and the gusty world of wind power generation. Utilizing data from Internet Live Stats and the Energy Information Administration, our research team delved into the evolution of the internet and the global generation of wind power from 1991 to 2018. Our findings revealed a striking correlation coefficient of 0.9784944 and a p-value of less than 0.01, suggesting a strong statistical connection between the number of websites on the internet and the total wind power generated globally.
Much like a good dad joke, the correlation between these two seemingly disparate entities sneaks up on you, leaving you simultaneously puzzled and amused. As the internet continues to expand at an exponential rate, so does the generation of wind power, hinting at the hidden energies that intertwine our digital and environmental spheres.
The findings of our study not only highlight the surprising synchrony between cyberspace and wind power, but they also underscore the importance of considering unconventional factors in energy research. Just as every dad joke contains a kernel of humor waiting to be uncovered, the relationship between web domains and wind power exposes the unexpected connections that permeate our modern world.

ChatGPT:

internet domains, wind power generation, correlation study, internet growth, renewable energy, energy research, unconventional factors, digital environment, statistical analysis

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

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Data details

Number of websites on the internet
Detailed data title: Number of websites, measured by unique hostnames
Source: Internet Live Stats
See what else correlates with Number of websites on the internet

Total wind power generated globally
Detailed data title: Total wind power generated globally in billion kWh
Source: Energy Information Administration
See what else correlates with Total wind power generated globally

Correlation r = 0.9784944 (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 = 0.9574513 (Coefficient of determination)
This means 95.7% of the change in the one variable (i.e., Total wind power generated globally) is predictable based on the change in the other (i.e., Number of websites on the internet) over the 28 years from 1991 through 2018.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.4E-19.^Show 0.0000000000000000002368934303
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 0.98 in 2.4E-17% of random cases. Said differently, if you correlated 4,221,307,440,791,446,528 random variables^Note You don't actually need 4 quintillion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 27 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 27 because we have two variables measured over a period of 28 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.

[ 0.95, 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.

	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000	2001	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018
Number of websites on the internet (Websites)	1	10	130	2738	23500	257601	1117260	2410070	3177450	17087200	29254400	38760400	40912300	51611600	64780600	85507300	121893000	172339000	238028000	206957000	346004000	697089000	672985000	968882000	863106000	1045530000	1766930000	1630320000
Total wind power generated globally (Billion kWh)	4.09695	4.61206	5.55793	7.28441	7.93552	9.28889	12.134	16.1075	21.2765	31.3317	38.3652	52.7331	64.5029	84.6314	104.241	133.42	171.303	221.363	277.775	339.401	435.106	521.503	645.078	717.25	827.435	957.251	1127.11	1263.52

Why this works

Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
Lack of causal connection: There is probably^Note Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple^Note Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
p-value calculation does not take this into account, so mathematically it appears less probable than it really is.

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([1,10,130,2738,23500,257601,1117260,2410070,3177450,17087200,29254400,38760400,40912300,51611600,64780600,85507300,121893000,172339000,238028000,206957000,346004000,697089000,672985000,968882000,863106000,1045530000,1766930000,1630320000,])
array_2 = np.array([4.09695,4.61206,5.55793,7.28441,7.93552,9.28889,12.134,16.1075,21.2765,31.3317,38.3652,52.7331,64.5029,84.6314,104.241,133.42,171.303,221.363,277.775,339.401,435.106,521.503,645.078,717.25,827.435,957.251,1127.11,1263.52,])
array_1_name = "Number of websites on the internet"
array_2_name = "Total wind power generated globally"

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

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

Reuseable content

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

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

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

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

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

Download images for these variables:

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

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

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
Portable line chart (png), optimized for mobile
Line chart for only Number of websites on the internet
Line chart for only Total wind power generated globally
AI-generated correlation image
The spurious research paper: Energizing the Web: Uncovering the Link Between Online Domains and Wind Power Generation

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Correlation ID: 5236 · Black Variable ID: 370 · Red Variable ID: 23443


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