Spurious correlation #2,632 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Internet Access Rate among US Citizens and the second variable is Solar power generated in Honduras. The chart goes from 2012 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 Internet Access Rate among US Citizens and the second variable is Solar power generated in Honduras. The chart goes from 2012 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As more Americans basked in the glow of cat videos and memes, their collective laughter resonated through the Earth, leading to a surge in solar energy production in distant lands. It's the first case of 'lol-ecology' on a global scale!

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image that portrays a vibrant Honduran village with families congregating around a communal solar panel. Show the families basking in the radiant glow of sunlight, with children engrossed in their smartphones and adults typing on laptops. Capture the essence of cyber folk intertwining with traditional village life in this sun-drenched setting. Emphasize the technological interconnectedness and sustainability provided by solar power. Aim to create a compelling visual that resonates with the convergence of modern technology and traditional community living. 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: Internet Access Rate among US Citizens and Solar power generated in Honduras. 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: Cyber folk Macabre Cute cartoon Brutalism Whimsical illustration
ChatGPT: Cyber folk

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 Internet Access Rate among US Citizens and Solar power generated in Honduras together. Keep the description simple.
ChatGPT: In a small Honduran village, families gather around a communal solar panel, soaking up the abundant sunlight to power their homes and devices. Some children are surfing the internet on their smartphones, while adults are using their laptops to connect with the world. The warm glow of the sun feeds both their need for energy and access to the online world.

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: [ Cyber folk ] and depicting this scene: In a small Honduran village, families gather around a communal solar panel, soaking up the abundant sunlight to power their homes and devices. Some children are surfing the internet on their smartphones, while adults are using their laptops to connect with the world. The warm glow of the sun feeds both their need for energy and access to the online world. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image that portrays a vibrant Honduran village with families congregating around a communal solar panel. Show the families basking in the radiant glow of sunlight, with children engrossed in their smartphones and adults typing on laptops. Capture the essence of cyber folk intertwining with traditional village life in this sun-drenched setting. Emphasize the technological interconnectedness and sustainability provided by solar power. Aim to create a compelling visual that resonates with the convergence of modern technology and traditional community living.

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

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.
^{Show prompt for explanation} Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in Internet Access Rate among US Citizens caused Solar power generated in Honduras to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)

E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

The Journal of Technological Transnational Energy Research

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 Internet Access Rate among US Citizens and Solar power generated in Honduras. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.

Here is the title and abstract of the paper:
[[TITLE]]
E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

[[ABSTRACT]]
In this study, we set out to shed light on the intriguing and unexpected relationship between Internet access rates among US citizens and the solar power generated in Honduras. Despite initial skepticism and raised eyebrows from our peers, our research team delved into the data from Statista and the Energy Information Administration with fervor. To our surprise (and delight), we uncovered a remarkably strong correlation between the two seemingly disparate variables. Our analysis revealed a correlation coefficient of 0.9727805 with a p-value of less than 0.01 for the period spanning 2012 to 2021.

While the conventional wisdom might suggest that Internet access rates and solar power generation have as much in common as a banana and a bowling ball, our findings challenge this notion in a humorous, yet scientifically robust manner. The unanticipated connection between the two variables raises intriguing questions about the intertwined nature of seemingly unrelated phenomena in the modern world.

Our research serves as a compelling reminder that unexpected correlations can often spark intriguing avenues for further investigation. Whether this connection is a quirk of statistical fate or a sign of a deeper, cosmic harmony remains to be seen. We invite fellow researchers to delve into this convoluted connection with the same mix of curiosity, skepticism, and good humor that has fueled our journey of discovery.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The intersection of technology and renewable energy has become a focal point of both academic inquiry and real-world application. As the global community grapples with the challenges of climate change and seeks sustainable solutions, the role of digital connectivity and its impact on renewable energy sources has garnered increasing attention.
In this study, we aim to illuminate the unexpected and somewhat bewildering relationship between Internet access rates in the United States and the solar power generated in Honduras. At first glance, one might wonder, "What do Silicon Valley startups and sun-drenched Central American landscapes have in common?" Well, our data suggests that the answer may not be as clear-cut as one might think.
As the old adage goes, "The sun never sets on the Internet," and it appears that this sentiment holds a deeper truth beyond its metaphorical implications. Our research seeks to uncover the underlying dynamics at play, bringing together seemingly disparate elements in a cosmic dance of statistical significance.
While some may dismiss this linkage as mere statistical noise, we intend to approach it with the seriousness it deserves, peppered with a healthy dose of academic levity. After all, who wouldn't enjoy unraveling a mystery that intertwines the digital highways of the United States with the solar vistas of Honduras?
Perhaps, in the annals of academic research, our findings will be remembered as the "Solar Surfer and the Cyber Sailor" – a tale of unexpected companionship across the vast expanse of interconnected data.
With this study, we hope to challenge preconceived notions and stimulate a lively conversation about the complexities of modern interconnectivity and the rippling effects across geographical, technological, and environmental domains. So, grab your data cables and solar panels as we embark on this illuminating journey through the realms of cyberspace and renewable energy.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

In "Smith et al.," the authors find that Internet access rates in the United States have steadily increased over the past decade, reflecting the pervasive integration of digital technology into everyday life. This technological landscape, characterized by the ubiquity of smartphones, tablets, and high-speed broadband, has reshaped communication, commerce, and social interaction on a global scale. Likewise, "Doe et al." explore the exponential growth of solar power generation in Honduras, underscoring the country's commitment to renewable energy and sustainability.

As we delve deeper into the literature, "Jones et al." present a compelling analysis of the economic and environmental benefits of solar energy adoption, highlighting its potential to mitigate greenhouse gas emissions and reduce dependency on fossil fuels. These foundational studies lay the groundwork for our investigation into the unexpected nexus between Internet access rates in the US and solar power generation in Honduras.

Turning to non-fiction works, "The Third Industrial Revolution" by Jeremy Rifkin and "The Grid" by Gretchen Bakke offer insightful perspectives on the intersection of technology, energy, and societal transformation. Meanwhile, fictional narratives such as "Neuromancer" by William Gibson and "Solar" by Ian McEwan provide imaginative portrayals of the symbiotic relationship between digital networks and renewable energy systems.

In a departure from traditional academic sources, our research team also conducted an informal survey of unconventional sources, ranging from the backs of shampoo bottles to overheard conversations at coffee shops. While the veracity of these findings may be subject to scrutiny, we encountered a surprising number of puns related to "solar" and "internet," suggesting a collective unconscious fascination with this enigmatic connection.

The eclectic exploration of literature and cultural artifacts has infused our research with a sense of levity and open-minded inquiry. As we navigate the peculiar terrain of Internet access rates and solar power generation, we remain attentive to the unexpected insights that may illuminate this uncharted territory like a proverbial solar-powered Wi-Fi signal in the digital wilderness.

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 Internet Access Rate among US Citizens and Solar power generated in Honduras. Make lots of jokes, goofy observations, and puns. 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 Statista and Energy Information Administration . You used data from 2012 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]]
E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

[[ABSTRACT]]
In this study, we set out to shed light on the intriguing and unexpected relationship between Internet access rates among US citizens and the solar power generated in Honduras. Despite initial skepticism and raised eyebrows from our peers, our research team delved into the data from Statista and the Energy Information Administration with fervor. To our surprise (and delight), we uncovered a remarkably strong correlation between the two seemingly disparate variables. Our analysis revealed a correlation coefficient of 0.9727805 with a p-value of less than 0.01 for the period spanning 2012 to 2021.

While the conventional wisdom might suggest that Internet access rates and solar power generation have as much in common as a banana and a bowling ball, our findings challenge this notion in a humorous, yet scientifically robust manner. The unanticipated connection between the two variables raises intriguing questions about the intertwined nature of seemingly unrelated phenomena in the modern world.

Our research serves as a compelling reminder that unexpected correlations can often spark intriguing avenues for further investigation. Whether this connection is a quirk of statistical fate or a sign of a deeper, cosmic harmony remains to be seen. We invite fellow researchers to delve into this convoluted connection with the same mix of curiosity, skepticism, and good humor that has fueled our journey of discovery.

[[INTRODUCTION]]
The intersection of technology and renewable energy has become a focal point of both academic inquiry and real-world application. As the global community grapples with the challenges of climate change and seeks sustainable solutions, the role of digital connectivity and its impact on renewable energy sources has garnered increasing attention.
In this study, we aim to illuminate the unexpected and somewhat bewildering relationship between Internet access rates in the United States and the solar power generated in Honduras. At first glance, one might wonder, "What do Silicon Valley startups and sun-drenched Central American landscapes have in common?" Well, our data suggests that the answer may not be as clear-cut as one might think.
As the old adage goes, "The sun never sets on the Internet," and it appears that this sentiment holds a deeper truth beyond its metaphorical implications. Our research seeks to uncover the underlying dynamics at play, bringing together seemingly disparate elements in a cosmic dance of statistical significance.
While some may dismiss this linkage as mere statistical noise, we intend to approach it with the seriousness it deserves, peppered with a healthy dose of academic levity. After all, who wouldn't enjoy unraveling a mystery that intertwines the digital highways of the United States with the solar vistas of Honduras?
Perhaps, in the annals of academic research, our findings will be remembered as the "Solar Surfer and the Cyber Sailor" – a tale of unexpected companionship across the vast expanse of interconnected data.
With this study, we hope to challenge preconceived notions and stimulate a lively conversation about the complexities of modern interconnectivity and the rippling effects across geographical, technological, and environmental domains. So, grab your data cables and solar panels as we embark on this illuminating journey through the realms of cyberspace and renewable energy.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

**METHODOLOGY**

*Data Collection*

Our research team embarked on a quest across the digital landscapes of the internet, armed with a trusty mouse and a healthy dose of skepticism. We scoured various sources, but ultimately set up camp within the virtual confines of Statista and the Energy Information Administration (EIA). Here, we pitched our statistical tents and foraged for data spanning the years 2012 to 2021, braving the treacherous terrain of spreadsheets and databases.

With a discerning eye and a willingness to click where no researcher had clicked before, we amassed a trove of information on internet access rates among US citizens and solar power generation in Honduras. Having navigated the labyrinthine corridors of online data repositories, we emerged victorious with a comprehensive dataset that would serve as the foundation for our investigation.

*Statistical Analysis*

Armed with our dataset, we donned our metaphorical lab coats and plunged into the murky depths of statistical analysis. Our first order of business was to calculate the correlation coefficient, a numerical beacon that would guide us through the fog of uncertainty and into the light of statistical significance.

Utilizing our trusty statistical software – a digital companion that never complained about late-night coding sessions – we diligently computed the correlation coefficient between internet access rates in the US and solar power generation in Honduras. Our efforts yielded a startling revelation: a correlation coefficient of 0.9727805 stood before us, signaling a connection so strong, it could withstand a digital tsunami of skepticism.

With this remarkable discovery in hand, we marched onward, unearthing the elusive p-value, an indicator of statistical significance. Here, too, our findings defied expectations, as the p-value shimmered before us, glowing with the radiance of significance (p < 0.01).

*Lighthearted Data Interpretation*

Armed with the formidable arsenal of statistical insights, we then embarked on the treacherous journey of data interpretation. Here, we danced along the razor's edge, balancing academic rigor with a touch of whimsy. As we pondered the unexpected link between internet access rates and solar power generation, we navigated the murky waters of interpretation with the graceful agility of a data-powered ballet.

In our interpretation, we encountered a veritable menagerie of unexpected connections and tantalizing possibilities – a testament to the enigmatic dance of data that transcends the mundane confines of conventional wisdom. Our discourse, while grounded in scientific rigor, bore the marks of playful curiosity, inviting fellow researchers to join us on this whimsical expedition into the realms of statistical serendipity.

*Robustness Checks*

In the spirit of scholarly diligence, we subjected our findings to a battery of robustness checks, ensuring that our statistical edifice stood firm against the winds of doubt. We probed the depths of our dataset, teasing out potential confounding variables and subjecting our correlations to the unblinking gaze of sensitivity analyses.

Like intrepid explorers navigating uncharted waters, we meticulously tested the robustness of our findings, ensuring that our statistical ship remained buoyant in the tempest of academic inquiry. Our findings, unwavering in the face of scrutiny, stood as a beacon of statistical fortitude, guiding future researchers through the tumultuous seas of correlation analysis.

*Limitations*

As with any quest for academic enlightenment, our journey was not without its perils. We encountered a myriad of limitations that, like lurking shadows in the caverns of inquiry, threatened to obscure the brilliance of our findings. The constraints of our dataset, the potential for omitted variables, and the whims of statistical fate all cast their long shadows over our research.

In acknowledging these limitations, we sought to temper our boundless enthusiasm with a touch of academic humility, recognizing the intricacies of statistical inquiry and the ever-present specter of uncertainty that looms over all empirical endeavors.

In conclusion, our methodology represents a harmonious blend of rigorous statistical analysis, playful interpretation, and a touch of academic humility. Our research stands as a testament to the enduring spirit of inquiry, as we unravel the enigmatic threads that weave together the digital tapestries of internet access rates and the solar symphonies of Honduras.

(And no, we did not use a crystal ball to conjure up these results, although that would have made for a far more entertaining methodology section.)

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 Internet Access Rate among US Citizens and Solar power generated in Honduras. Make lots of jokes, goofy observations, and puns. 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 Statista and Energy Information Administration .

For the time period 2012 to 2021, you found a correlation 0.9727805, r-squared of 0.9463019, 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]]
E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

[[ABSTRACT]]
In this study, we set out to shed light on the intriguing and unexpected relationship between Internet access rates among US citizens and the solar power generated in Honduras. Despite initial skepticism and raised eyebrows from our peers, our research team delved into the data from Statista and the Energy Information Administration with fervor. To our surprise (and delight), we uncovered a remarkably strong correlation between the two seemingly disparate variables. Our analysis revealed a correlation coefficient of 0.9727805 with a p-value of less than 0.01 for the period spanning 2012 to 2021.

While the conventional wisdom might suggest that Internet access rates and solar power generation have as much in common as a banana and a bowling ball, our findings challenge this notion in a humorous, yet scientifically robust manner. The unanticipated connection between the two variables raises intriguing questions about the intertwined nature of seemingly unrelated phenomena in the modern world.

Our research serves as a compelling reminder that unexpected correlations can often spark intriguing avenues for further investigation. Whether this connection is a quirk of statistical fate or a sign of a deeper, cosmic harmony remains to be seen. We invite fellow researchers to delve into this convoluted connection with the same mix of curiosity, skepticism, and good humor that has fueled our journey of discovery.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The intersection of technology and renewable energy has become a focal point of both academic inquiry and real-world application. As the global community grapples with the challenges of climate change and seeks sustainable solutions, the role of digital connectivity and its impact on renewable energy sources has garnered increasing attention.
In this study, we aim to illuminate the unexpected and somewhat bewildering relationship between Internet access rates in the United States and the solar power generated in Honduras. At first glance, one might wonder, "What do Silicon Valley startups and sun-drenched Central American landscapes have in common?" Well, our data suggests that the answer may not be as clear-cut as one might think.
As the old adage goes, "The sun never sets on the Internet," and it appears that this sentiment holds a deeper truth beyond its metaphorical implications. Our research seeks to uncover the underlying dynamics at play, bringing together seemingly disparate elements in a cosmic dance of statistical significance.
While some may dismiss this linkage as mere statistical noise, we intend to approach it with the seriousness it deserves, peppered with a healthy dose of academic levity. After all, who wouldn't enjoy unraveling a mystery that intertwines the digital highways of the United States with the solar vistas of Honduras?
Perhaps, in the annals of academic research, our findings will be remembered as the "Solar Surfer and the Cyber Sailor" – a tale of unexpected companionship across the vast expanse of interconnected data.
With this study, we hope to challenge preconceived notions and stimulate a lively conversation about the complexities of modern interconnectivity and the rippling effects across geographical, technological, and environmental domains. So, grab your data cables and solar panels as we embark on this illuminating journey through the realms of cyberspace and renewable energy.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The results of our analysis revealed a remarkably strong correlation between Internet access rates among US citizens and solar power generation in Honduras for the period of 2012 to 2021. The correlation coefficient of 0.9727805 demonstrates a robust relationship, akin to two synchronized swimmers gracefully gliding in perfect harmony. This finding suggests that as Internet access rates in the US rose and fell, so too did the solar power generation in Honduras, creating a dance of interconnected data that would make even the most stoic statistician tap their toe in appreciation.

Further bolstering the strength of this connection, the calculated r-squared value of 0.9463019 reflects the tight embrace between these two variables, reminiscent of a pair of long-lost twins reunited at a bustling family reunion. The p-value of less than 0.01 adds an exclamation point to our discovery, signaling that the likelihood of this correlation occurring by mere chance is akin to finding a needle in a digital haystack.

To illustrate the undeniable bond between Internet access rates in the US and solar power generation in Honduras, we present Fig. 1, a scatterplot that encapsulates the visual spectacle of this unexpected correlation. As you gaze upon the plot, imagine the internet cables and solar panels engaged in a cosmic tango across geographical boundaries, bound together by the invisible threads of statistical significance.

In conclusion, our findings not only defy the conventional wisdom but also beckon researchers to peer into the nuanced fabric of interconnected global phenomena. The internet and solar power may seem as different as night and day, yet our research suggests that they share a celestial rhythm that transcends superficial disparities. This unexpected liaison of digital connectivity and renewable energy sources speaks to the whimsical nature of statistical exploration and invites further inquiry into the enigmatic tapestry of modern interconnectivity.

Our research does not merely illuminate the link between Internet access rates in the US and solar power generation in Honduras; it beckons us to ponder the intricate dance of data across borders, technologies, and environmental landscapes. As the saying goes, "The sun never sets on the Internet," and our study confirms that its influence may reach even further than we previously imagined.

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 Internet Access Rate among US Citizens and Solar power generated in Honduras. Make lots of jokes, goofy observations, and puns. 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]]
E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

[[ABSTRACT]]
In this study, we set out to shed light on the intriguing and unexpected relationship between Internet access rates among US citizens and the solar power generated in Honduras. Despite initial skepticism and raised eyebrows from our peers, our research team delved into the data from Statista and the Energy Information Administration with fervor. To our surprise (and delight), we uncovered a remarkably strong correlation between the two seemingly disparate variables. Our analysis revealed a correlation coefficient of 0.9727805 with a p-value of less than 0.01 for the period spanning 2012 to 2021.

While the conventional wisdom might suggest that Internet access rates and solar power generation have as much in common as a banana and a bowling ball, our findings challenge this notion in a humorous, yet scientifically robust manner. The unanticipated connection between the two variables raises intriguing questions about the intertwined nature of seemingly unrelated phenomena in the modern world.

Our research serves as a compelling reminder that unexpected correlations can often spark intriguing avenues for further investigation. Whether this connection is a quirk of statistical fate or a sign of a deeper, cosmic harmony remains to be seen. We invite fellow researchers to delve into this convoluted connection with the same mix of curiosity, skepticism, and good humor that has fueled our journey of discovery.

[[LITERATURE REVIEW]]
In "Smith et al.," the authors find that Internet access rates in the United States have steadily increased over the past decade, reflecting the pervasive integration of digital technology into everyday life. This technological landscape, characterized by the ubiquity of smartphones, tablets, and high-speed broadband, has reshaped communication, commerce, and social interaction on a global scale. Likewise, "Doe et al." explore the exponential growth of solar power generation in Honduras, underscoring the country's commitment to renewable energy and sustainability.
As we delve deeper into the literature, "Jones et al." present a compelling analysis of the economic and environmental benefits of solar energy adoption, highlighting its potential to mitigate greenhouse gas emissions and reduce dependency on fossil fuels. These foundational studies lay the groundwork for our investigation into the unexpected nexus between Internet access rates in the US and solar power generation in Honduras.
Turning to non-fiction works, "The Third Industrial Revolution" by Jeremy Rifkin and "The Grid" by Gretchen Bakke offer insightful perspectives on the intersection of technology, energy, and societal transformation. Meanwhile, fictional narratives such as "Neuromancer" by William Gibson and "Solar" by Ian McEwan provide imaginative portrayals of the symbiotic relationship between digital networks and renewable energy systems.
In a departure from traditional academic sources, our research team also conducted an informal survey of unconventional sources, ranging from the backs of shampoo bottles to overheard conversations at coffee shops. While the veracity of these findings may be subject to scrutiny, we encountered a surprising number of puns related to "solar" and "internet," suggesting a collective unconscious fascination with this enigmatic connection.
The eclectic exploration of literature and cultural artifacts has infused our research with a sense of levity and open-minded inquiry. As we navigate the peculiar terrain of Internet access rates and solar power generation, we remain attentive to the unexpected insights that may illuminate this uncharted territory like a proverbial solar-powered Wi-Fi signal in the digital wilderness.

[[RESULTS]]
The results of our analysis revealed a remarkably strong correlation between Internet access rates among US citizens and solar power generation in Honduras for the period of 2012 to 2021. The correlation coefficient of 0.9727805 demonstrates a robust relationship, akin to two synchronized swimmers gracefully gliding in perfect harmony. This finding suggests that as Internet access rates in the US rose and fell, so too did the solar power generation in Honduras, creating a dance of interconnected data that would make even the most stoic statistician tap their toe in appreciation.
Further bolstering the strength of this connection, the calculated r-squared value of 0.9463019 reflects the tight embrace between these two variables, reminiscent of a pair of long-lost twins reunited at a bustling family reunion. The p-value of less than 0.01 adds an exclamation point to our discovery, signaling that the likelihood of this correlation occurring by mere chance is akin to finding a needle in a digital haystack.
To illustrate the undeniable bond between Internet access rates in the US and solar power generation in Honduras, we present Fig. 1, a scatterplot that encapsulates the visual spectacle of this unexpected correlation. As you gaze upon the plot, imagine the internet cables and solar panels engaged in a cosmic tango across geographical boundaries, bound together by the invisible threads of statistical significance.
In conclusion, our findings not only defy the conventional wisdom but also beckon researchers to peer into the nuanced fabric of interconnected global phenomena. The internet and solar power may seem as different as night and day, yet our research suggests that they share a celestial rhythm that transcends superficial disparities. This unexpected liaison of digital connectivity and renewable energy sources speaks to the whimsical nature of statistical exploration and invites further inquiry into the enigmatic tapestry of modern interconnectivity.
Our research does not merely illuminate the link between Internet access rates in the US and solar power generation in Honduras; it beckons us to ponder the intricate dance of data across borders, technologies, and environmental landscapes. As the saying goes, "The sun never sets on the Internet," and our study confirms that its influence may reach even further than we previously imagined.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

The unexpected connection between Internet access rates among US citizens and solar power generation in Honduras, as highlighted in our study, sheds light on the intricate web of interconnected variables shaping our global landscape. Our findings support previous research such as the study by "Jones et al.," which underscored the economic and environmental benefits of solar energy adoption. Just like a well-placed solar panel harnesses the sun's energy for a sustainable tomorrow, our research harnesses the data to unveil the interplay between digital connectivity and renewable energy.

Now, as we draw a parallel between a banana and a bowling ball, we can't help but marvel at the unexpected marriage of Internet access and solar power generation. It's as though the data itself engaged in a game of "six degrees of separation," connecting these seemingly distinct entities with the finesse of a seasoned matchmaker. Our results lend credence to the notion that statistical analysis has a whimsical side, akin to discovering a hidden talent for interpretative dance in a stoic mathematician.

Building on the insights gleaned from unconventional sources in our literature review, the delightful abundance of puns related to "solar" and "internet" takes on a newfound significance in light of our study's robust findings. It's as if the collective unconscious had been playfully hinting at this unforeseen association through wordplay, much like a mischievous wink from the universe. Indeed, our research journey has been buoyed by a sense of levity and open-minded inquiry, akin to stumbling upon a well-timed punchline in a dense academic discourse.

The correlation coefficient of 0.9727805 that emerged from our analysis serves as a testament to the synchronicity of Internet access rates in the US and solar power generation in Honduras. This statistic stands as a testament to the interconnectedness of these variables, defying the odds with the audacity of a daredevil tightrope walker. Our findings not only challenge the conventional wisdom but beckon researchers to delve into the deeper nuances of our interconnected world with the same playful curiosity that underpinned our investigation.

In essence, our study has unveiled a cosmic tango of digital connectivity and renewable energy, offering a new lens through which to view the intertwined tapestry of modern interconnectivity. As researchers continue to unpack this enigmatic liaison, may they embrace the whimsical nature of statistical exploration and find joy in the unexpected correlations that enrich our understanding of the world around us. Indeed, science, much like life, is full of delightful surprises waiting to be uncovered in the most unlikely 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 Internet Access Rate among US Citizens and Solar power generated in Honduras. Make lots of jokes, goofy observations, and puns. 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]]
E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

[[ABSTRACT]]
In this study, we set out to shed light on the intriguing and unexpected relationship between Internet access rates among US citizens and the solar power generated in Honduras. Despite initial skepticism and raised eyebrows from our peers, our research team delved into the data from Statista and the Energy Information Administration with fervor. To our surprise (and delight), we uncovered a remarkably strong correlation between the two seemingly disparate variables. Our analysis revealed a correlation coefficient of 0.9727805 with a p-value of less than 0.01 for the period spanning 2012 to 2021.

While the conventional wisdom might suggest that Internet access rates and solar power generation have as much in common as a banana and a bowling ball, our findings challenge this notion in a humorous, yet scientifically robust manner. The unanticipated connection between the two variables raises intriguing questions about the intertwined nature of seemingly unrelated phenomena in the modern world.

Our research serves as a compelling reminder that unexpected correlations can often spark intriguing avenues for further investigation. Whether this connection is a quirk of statistical fate or a sign of a deeper, cosmic harmony remains to be seen. We invite fellow researchers to delve into this convoluted connection with the same mix of curiosity, skepticism, and good humor that has fueled our journey of discovery.

[[INTRDUCTION]]
The intersection of technology and renewable energy has become a focal point of both academic inquiry and real-world application. As the global community grapples with the challenges of climate change and seeks sustainable solutions, the role of digital connectivity and its impact on renewable energy sources has garnered increasing attention.
In this study, we aim to illuminate the unexpected and somewhat bewildering relationship between Internet access rates in the United States and the solar power generated in Honduras. At first glance, one might wonder, "What do Silicon Valley startups and sun-drenched Central American landscapes have in common?" Well, our data suggests that the answer may not be as clear-cut as one might think.
As the old adage goes, "The sun never sets on the Internet," and it appears that this sentiment holds a deeper truth beyond its metaphorical implications. Our research seeks to uncover the underlying dynamics at play, bringing together seemingly disparate elements in a cosmic dance of statistical significance.
While some may dismiss this linkage as mere statistical noise, we intend to approach it with the seriousness it deserves, peppered with a healthy dose of academic levity. After all, who wouldn't enjoy unraveling a mystery that intertwines the digital highways of the United States with the solar vistas of Honduras?
Perhaps, in the annals of academic research, our findings will be remembered as the "Solar Surfer and the Cyber Sailor" – a tale of unexpected companionship across the vast expanse of interconnected data.
With this study, we hope to challenge preconceived notions and stimulate a lively conversation about the complexities of modern interconnectivity and the rippling effects across geographical, technological, and environmental domains. So, grab your data cables and solar panels as we embark on this illuminating journey through the realms of cyberspace and renewable energy.

[[RESULTS]]
The results of our analysis revealed a remarkably strong correlation between Internet access rates among US citizens and solar power generation in Honduras for the period of 2012 to 2021. The correlation coefficient of 0.9727805 demonstrates a robust relationship, akin to two synchronized swimmers gracefully gliding in perfect harmony. This finding suggests that as Internet access rates in the US rose and fell, so too did the solar power generation in Honduras, creating a dance of interconnected data that would make even the most stoic statistician tap their toe in appreciation.
Further bolstering the strength of this connection, the calculated r-squared value of 0.9463019 reflects the tight embrace between these two variables, reminiscent of a pair of long-lost twins reunited at a bustling family reunion. The p-value of less than 0.01 adds an exclamation point to our discovery, signaling that the likelihood of this correlation occurring by mere chance is akin to finding a needle in a digital haystack.
To illustrate the undeniable bond between Internet access rates in the US and solar power generation in Honduras, we present Fig. 1, a scatterplot that encapsulates the visual spectacle of this unexpected correlation. As you gaze upon the plot, imagine the internet cables and solar panels engaged in a cosmic tango across geographical boundaries, bound together by the invisible threads of statistical significance.
In conclusion, our findings not only defy the conventional wisdom but also beckon researchers to peer into the nuanced fabric of interconnected global phenomena. The internet and solar power may seem as different as night and day, yet our research suggests that they share a celestial rhythm that transcends superficial disparities. This unexpected liaison of digital connectivity and renewable energy sources speaks to the whimsical nature of statistical exploration and invites further inquiry into the enigmatic tapestry of modern interconnectivity.
Our research does not merely illuminate the link between Internet access rates in the US and solar power generation in Honduras; it beckons us to ponder the intricate dance of data across borders, technologies, and environmental landscapes. As the saying goes, "The sun never sets on the Internet," and our study confirms that its influence may reach even further than we previously imagined.

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our research has not only unveiled an unexpected and robust connection between Internet access rates in the US and solar power generation in Honduras, but it has also offered a delightful twist in the enigmatic tale of statistical relationships. It seems that, much like the plot of a Hollywood rom-com, the internet and solar power have found each other in a whirlwind romance of numerical significance. Who would have thought that electrons zipping through fiber-optic cables and photons dancing on solar panels would hold hands so tightly in the vast expanse of data?

The implications of this unlikely duo stretch far and wide, not unlike the shadows cast by a solar eclipse. Our findings urge researchers to embrace the unconventional, to look beyond the traditional confines of expected correlations, and to venture into the uncharted territories of statistical serendipity. If our study were a Broadway show, it would undoubtedly be titled "A Solar Affair: Struck by the Net of Love," a heartwarming tale of unexpected harmony in a world of seemingly discordant variables.

Moreover, as we reflect on the interconnectedness of Internet access and solar power generation, we find ourselves at a crossroads of curiosity and cosmic query. Does this correlation signify a deeper, cosmic dance of universal forces, or is it merely a statistical quirk playing an elaborate prank on our data-hungry minds? Much like pondering the meaning of life or the origins of the universe, the connection between internet access rates and solar power generation beckons us into a realm of wonder and whimsy.

In light of our findings, we assert that no further research is needed in this area, for we have unraveled the delightful mystery of this captivating connection. As the great bard Shakespeare once wrote, "The course of true love never did run smooth," and indeed, our journey through the statistical landscapes of love, laughter, and luminescence has been anything but predictable. Let our revelation serve as a beacon of statistical merriment and a testament to the unexpected delights that await those who dare to dance in the corridors of correlation.

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 E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Technological Transnational Energy Research

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 E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Technological Advancement and Renewable Energy Research (STARER)

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 E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras with an abstract of In this study, we set out to shed light on the intriguing and unexpected relationship between Internet access rates among US citizens and the solar power generated in Honduras. Despite initial skepticism and raised eyebrows from our peers, our research team delved into the data from Statista and the Energy Information Administration with fervor. To our surprise (and delight), we uncovered a remarkably strong correlation between the two seemingly disparate variables. Our analysis revealed a correlation coefficient of 0.9727805 with a p-value of less than 0.01 for the period spanning 2012 to 2021.
While the conventional wisdom might suggest that Internet access rates and solar power generation have as much in common as a banana and a bowling ball, our findings challenge this notion in a humorous, yet scientifically robust manner. The unanticipated connection between the two variables raises intriguing questions about the intertwined nature of seemingly unrelated phenomena in the modern world.
Our research serves as a compelling reminder that unexpected correlations can often spark intriguing avenues for further investigation. Whether this connection is a quirk of statistical fate or a sign of a deeper, cosmic harmony remains to be seen. We invite fellow researchers to delve into this convoluted connection with the same mix of curiosity, skepticism, and good humor that has fueled our journey of discovery.

ChatGPT:

Internet access rates, solar power generation, US citizens, Honduras, correlation, Statista, Energy Information Administration, unexpected relationship, data analysis, correlation coefficient, p-value, statistical fate, deeper connection, research, investigation, modern world, cosmic harmony

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

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Data details

Internet Access Rate among US Citizens
Source: Statista
See what else correlates with Internet Access Rate among US Citizens

Solar power generated in Honduras
Detailed data title: Total solar power generated in Honduras in billion kWh
Source: Energy Information Administration
See what else correlates with Solar power generated in Honduras

Correlation r = 0.9727805 (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 = 0.9463019 (Coefficient of determination)
This means 94.6% of the change in the one variable (i.e., Solar power generated in Honduras) is predictable based on the change in the other (i.e., Internet Access Rate among US Citizens) over the 10 years from 2012 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.3E-6.^Show 0.0000023240239111068843000000
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 0.97 in 0.00023% of random cases. Said differently, if you correlated 430,288 random variables^Note You don't actually need 430 thousand 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 9 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 9 because we have two variables measured over a period of 10 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.89, 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.

	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021
Internet Access Rate among US Citizens (Internet access)	74.7	71.4	73	74.55	85.54	87.27	87.27	87.27	87	90
Solar power generated in Honduras (Billion kWh)	0.007	0.007	0.007	0.425	0.892	0.929	0.997	1.118	1.046	1.27612

Why this works

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

Try it yourself

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

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

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

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

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

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

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

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

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

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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([74.7,71.4,73,74.55,85.54,87.27,87.27,87.27,87,90,])
array_2 = np.array([0.007,0.007,0.007,0.425,0.892,0.929,0.997,1.118,1.046,1.27612,])
array_1_name = "Internet Access Rate among US Citizens"
array_2_name = "Solar power generated in Honduras"

# 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 Internet Access Rate among US Citizens
Line chart for only Solar power generated in Honduras
AI-generated correlation image
The spurious research paper: E-nergy Connection: Shedding Light on the Link between Internet Access Rates in the US and Solar Power Generation in Honduras

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Correlation ID: 2632 · Black Variable ID: 397 · Red Variable ID: 23721


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