Spurious correlation #1,972 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Solar power generated in Honduras and the second variable is Google searches for 'smol'. 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 Solar power generated in Honduras and the second variable is Google searches for 'smol'. The chart goes from 2012 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

The excess solar power was inadvertently beamed into people's homes, causing their electronic devices to display adorable, shrunken versions of everything. It's a tiny bit shocking how powerful solar energy can be!

^{Show image generation prompt} Model: dalle-3
Prompt: An image that looks like it is a scene from A Disney Movie: A picturesque town in Honduras with pastel-colored buildings lining the cobbled streets. On one of the rooftops, sleek solar panels glisten in the bright sunlight, casting a warm glow over the surroundings. Inside a quaint house, a person sits at a computer, the screen illuminating their face as they type "smol" into the Google search bar. The room is bathed in soft, golden light from the sun streaming through the window, creating a cozy and enchanting atmosphere. 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: Solar power generated in Honduras and Google searches for 'smol'. 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 Polaroid photo An image that looks like it is a scene from A Disney Movie Minimalism Realistic Brutalism
ChatGPT: An image that looks like it is a scene from A Disney Movie

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 Solar power generated in Honduras and Google searches for 'smol' together. Keep the description simple.
ChatGPT: In a sunny town in Honduras, a roof of a house is lined with sleek solar panels, glistening in the bright sunlight. Meanwhile, inside the house, a person is sitting at a computer and typing "smol" into the Google search bar, with the screen illuminating their face.

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: [ An image that looks like it is a scene from A Disney Movie ] and depicting this scene: In a sunny town in Honduras, a roof of a house is lined with sleek solar panels, glistening in the bright sunlight. Meanwhile, inside the house, a person is sitting at a computer and typing "smol" into the Google search bar, with the screen illuminating their face. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: An image that looks like it is a scene from A Disney Movie: A picturesque town in Honduras with pastel-colored buildings lining the cobbled streets. On one of the rooftops, sleek solar panels glisten in the bright sunlight, casting a warm glow over the surroundings. Inside a quaint house, a person sits at a computer, the screen illuminating their face as they type "smol" into the Google search bar. The room is bathed in soft, golden light from the sun streaming through the window, creating a cozy and enchanting atmosphere.

*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 Solar power generated in Honduras caused smol (Google searches for 'smol') to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)

The Sunny Side Up: Shedding Light on the Solar-Smol Connection

Journal of Solar and Interstellar Studies

Jan 2024

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

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

Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Solar power generated in Honduras and Google searches for 'smol'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
The Sunny Side Up: Shedding Light on the Solar-Smol Connection

[[ABSTRACT]]
In this study, we examine the curious relationship between solar power generation in Honduras and the voluminous phenomena of "smol" Google searches. Utilizing data from the Energy Information Administration and Google Trends, we embarked on a thorough investigation to unearth the mysteries that lay beneath this seemingly improbable connection. Our analysis, covering the period from 2012 to 2021, revealed a strikingly high correlation coefficient of 0.9732063, with a remarkably minuscule p-value of < 0.01. This pear of data sets shed light on the sunny side of solar power generation, demonstrating a radiant correlation with the fascination for all things "smol." It appears that when it comes to the search for "smol," solar energy is anything but dim.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The pursuit of sustainable energy sources has become increasingly paramount in the wake of environmental concerns and the threat of climate change. As a result, countries around the world have been turning towards renewable energy, with solar power emerging as a promising contender in the quest for clean, renewable electricity. Meanwhile, the digital age has ushered in a new era of virtual exploration, where users navigate the intricate web of information with the click of a button. In this context, it has become evident that the world is witnessing a surge in unexpected connections and relationships, akin to finding a rare Pokémon in the tall grass of the internet.
As we delve into the realms of solar power generation in Honduras and the peculiar penchant for "smol" in the realm of Google searches, we find ourselves on an unconventional and, dare I say, enlightening journey. The nature of this investigation brings to mind the words of renowned physicist Max Planck, who famously quipped, "When you change the way you look at things, the things you look at change." With this in mind, we set out to investigate this uncharted territory, aiming to illuminate the hitherto undiscovered connections between solar energy and the virtual pursuit of the "smol" phenomenon.
The correlation we have uncovered may seem unexpected, akin to finding a shiny Charizard in a stack of Pikachu cards. However, as the renowned writer Isaac Asimov noted, "The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'" Our findings stand as a testament to the remarkable and often perplexing phenomena that lie at the intersection of renewable energy and online culture.
In the pages that follow, we will endeavor to unravel the intricacies of this solar-smol connection, shedding light on what can only be described as a luminous relationship between the power of the sun and the allure of all things "smol." Prepare to set sail on a voyage of discovery, where the winds of scientific inquiry blow alongside the playful zephyrs of internet culture.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The study of the interconnectedness of solar power generation in specific regions and the patterns of online search behavior has seen a burgeoning interest in recent years. Smith and Doe (2018) conducted a comprehensive analysis of solar energy adoption in various countries, shedding light on the potential impact on climate change mitigation. Jones et al. (2019) delved into the nuances of Google search trends and their correlation with societal interests, providing insights into the dynamics of online information consumption.

Turning to the realm of non-fiction literature, it is pertinent to consider the works of renowned environmentalist Bill McKibben, whose book "The Solar Singularity" offers a comprehensive examination of solar energy's potential to revolutionize global power systems. Additionally, the seminal work "The Google Story" by David A. Vise and Mark Malseed provides an in-depth exploration of the rise of the internet giant and its profound influence on digital interactions and information retrieval.

Venturing into the world of fiction, novels such as "Solar" by Ian McEwan and "The Search" by Nora Roberts offer intriguing narratives that, albeit unrelated to our specific research focus, provide a glimpse into the imaginative realms where the themes of solar power and search activities intertwine.

However, it is essential to acknowledge the significant role of internet culture and memes in shaping online discussions and behaviors. The "smol" phenomenon, often associated with endearing or diminutive traits, has captured the attention of internet users, permeating various platforms with its adorable and lighthearted connotations. The proliferation of "smol" content, particularly in the realm of meme culture, has undoubtedly contributed to the intriguing digital landscape we seek to explore.

As we embark on this scholarly endeavor, it is crucial to navigate the juncture of serious research and the whimsical nature of internet phenomena with prudence and intellectual curiosity. With a nuanced approach, we aim to untangle the web of connections between solar power generation in Honduras and the widespread allure of "smol," shedding light on the interdisciplinary interplay between sustainable energy and the captivating world of internet trends.

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 Solar power generated in Honduras and Google searches for 'smol'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Google Trends . 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]]
The Sunny Side Up: Shedding Light on the Solar-Smol Connection

[[ABSTRACT]]
In this study, we examine the curious relationship between solar power generation in Honduras and the voluminous phenomena of "smol" Google searches. Utilizing data from the Energy Information Administration and Google Trends, we embarked on a thorough investigation to unearth the mysteries that lay beneath this seemingly improbable connection. Our analysis, covering the period from 2012 to 2021, revealed a strikingly high correlation coefficient of 0.9732063, with a remarkably minuscule p-value of < 0.01. This pear of data sets shed light on the sunny side of solar power generation, demonstrating a radiant correlation with the fascination for all things "smol." It appears that when it comes to the search for "smol," solar energy is anything but dim.

[[INTRODUCTION]]
The pursuit of sustainable energy sources has become increasingly paramount in the wake of environmental concerns and the threat of climate change. As a result, countries around the world have been turning towards renewable energy, with solar power emerging as a promising contender in the quest for clean, renewable electricity. Meanwhile, the digital age has ushered in a new era of virtual exploration, where users navigate the intricate web of information with the click of a button. In this context, it has become evident that the world is witnessing a surge in unexpected connections and relationships, akin to finding a rare Pokémon in the tall grass of the internet.
As we delve into the realms of solar power generation in Honduras and the peculiar penchant for "smol" in the realm of Google searches, we find ourselves on an unconventional and, dare I say, enlightening journey. The nature of this investigation brings to mind the words of renowned physicist Max Planck, who famously quipped, "When you change the way you look at things, the things you look at change." With this in mind, we set out to investigate this uncharted territory, aiming to illuminate the hitherto undiscovered connections between solar energy and the virtual pursuit of the "smol" phenomenon.
The correlation we have uncovered may seem unexpected, akin to finding a shiny Charizard in a stack of Pikachu cards. However, as the renowned writer Isaac Asimov noted, "The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'" Our findings stand as a testament to the remarkable and often perplexing phenomena that lie at the intersection of renewable energy and online culture.
In the pages that follow, we will endeavor to unravel the intricacies of this solar-smol connection, shedding light on what can only be described as a luminous relationship between the power of the sun and the allure of all things "smol." Prepare to set sail on a voyage of discovery, where the winds of scientific inquiry blow alongside the playful zephyrs of internet culture.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

To unravel the enigmatic bond between solar power generation in Honduras and the internet's fascination with "smol," our research team embarked on a whimsical, yet methodical journey through the vast expanse of data and digital landscapes. Our methodology involved a curious blend of quantitative analysis and a keen eye for the peculiar, all sprinkled with a pinch of playful curiosity.

Data Collection:
We scoured the digital realms for data on solar power generation in Honduras, tapping into the vast repositories of the Energy Information Administration. Our intrepid explorers navigated through spreadsheets and databases, akin to adventurers on a quest for the elusive treasure of photovoltaic statistics. Meanwhile, our investigation into the "smol" phenomenon led us to the labyrinthine depths of Google Trends, where we combed through search queries like enthusiastic detectives in search of a clue. This process involved sifting through an abundance of "smol" searches, parallel to scouring a sprawling library for the tiniest of literary gems.

Statistical Analysis:
With data in hand, we donned our academic spectacles and set our gaze upon the task of statistical analysis. Utilizing the stalwart tool of correlation analysis, we sought to uncover the hidden threads that tethered solar power generation and the quest for "smol" into a luminous unity. The Pearson correlation coefficient emerged as our trusty guide through this statistical wilderness, akin to a compass leading us toward the heart of this curious connection.

Time Frame:
Our odyssey through the digital annals encompassed a time span from 2012 to 2021, allowing us to trace the evolution of solar power generation and the ebb and flow of "smol" searches through the virtual tides. This time frame provided a panoramic view of the solar-smol relationship, akin to observing the constellations shift and dance across the night sky over the course of a decade.

In summary, our methodology was akin to embarking on a treasure hunt through a labyrinthine digital wonderland, armed with statistical tools and an insatiable curiosity. With our data firmly in hand, we set sail on a voyage of discovery, braving the uncharted seas of solar power and "smol" to unravel the radiant connection that awaited us.

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 Solar power generated in Honduras and Google searches for 'smol'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

For the time period 2012 to 2021, you found a correlation 0.9732063, r-squared of 0.9471305, 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]]
The Sunny Side Up: Shedding Light on the Solar-Smol Connection

[[ABSTRACT]]
In this study, we examine the curious relationship between solar power generation in Honduras and the voluminous phenomena of "smol" Google searches. Utilizing data from the Energy Information Administration and Google Trends, we embarked on a thorough investigation to unearth the mysteries that lay beneath this seemingly improbable connection. Our analysis, covering the period from 2012 to 2021, revealed a strikingly high correlation coefficient of 0.9732063, with a remarkably minuscule p-value of < 0.01. This pear of data sets shed light on the sunny side of solar power generation, demonstrating a radiant correlation with the fascination for all things "smol." It appears that when it comes to the search for "smol," solar energy is anything but dim.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The pursuit of sustainable energy sources has become increasingly paramount in the wake of environmental concerns and the threat of climate change. As a result, countries around the world have been turning towards renewable energy, with solar power emerging as a promising contender in the quest for clean, renewable electricity. Meanwhile, the digital age has ushered in a new era of virtual exploration, where users navigate the intricate web of information with the click of a button. In this context, it has become evident that the world is witnessing a surge in unexpected connections and relationships, akin to finding a rare Pokémon in the tall grass of the internet.
As we delve into the realms of solar power generation in Honduras and the peculiar penchant for "smol" in the realm of Google searches, we find ourselves on an unconventional and, dare I say, enlightening journey. The nature of this investigation brings to mind the words of renowned physicist Max Planck, who famously quipped, "When you change the way you look at things, the things you look at change." With this in mind, we set out to investigate this uncharted territory, aiming to illuminate the hitherto undiscovered connections between solar energy and the virtual pursuit of the "smol" phenomenon.
The correlation we have uncovered may seem unexpected, akin to finding a shiny Charizard in a stack of Pikachu cards. However, as the renowned writer Isaac Asimov noted, "The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'" Our findings stand as a testament to the remarkable and often perplexing phenomena that lie at the intersection of renewable energy and online culture.
In the pages that follow, we will endeavor to unravel the intricacies of this solar-smol connection, shedding light on what can only be described as a luminous relationship between the power of the sun and the allure of all things "smol." Prepare to set sail on a voyage of discovery, where the winds of scientific inquiry blow alongside the playful zephyrs of internet culture.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The correlation analysis between solar power generation in Honduras and Google searches for "smol" yielded a remarkable correlation coefficient of 0.9732063, indicating a strong positive relationship between the two variables. This finding suggests that as solar power generation in Honduras increased, there was a corresponding surge in Google searches for "smol." In other words, it seems that the sun isn't the only thing that's getting "smol" attention in Honduras.

The coefficient of determination (r-squared) of 0.9471305 indicates that approximately 94.71% of the variability in "smol" searches can be explained by the variability in solar power generation. It's as if the power of the sun has cast a radiant glow on the fascination with all things "smol" in the digital domain, illuminating a path of inquiry that is both enlightening and, dare I say, pun-believable.

The p-value of < 0.01 further reinforces the robustness of the relationship, providing strong evidence to reject the null hypothesis that there is no association between solar power generation and "smol" Google searches. It appears that this correlation is as clear as day, shining a spotlight on the unexpected and delightful synergy between sustainable energy and internet curiosities.

To visually depict this striking correlation, we present in Figure 1 a scatterplot that succinctly encapsulates the radiant relationship between solar power generation in Honduras and the fervent interest in "smol" across the digital landscape. This figure serves as a beacon of illumination, guiding our journey through the uncharted waters of solar-smol connections.

In summary, the results of this investigation not only substantiate the existence of a significant association between solar power generation in Honduras and Google searches for "smol," but also provide a tantalizing glimpse into the whimsical interplay of renewable energy and online subculture. The findings leave us with a sunny disposition, demonstrating that when it comes to the confluence of solar power and "smol" searches, the future is bright and, quite literally, full of energy.

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 Solar power generated in Honduras and Google searches for 'smol'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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]]
The Sunny Side Up: Shedding Light on the Solar-Smol Connection

[[ABSTRACT]]
In this study, we examine the curious relationship between solar power generation in Honduras and the voluminous phenomena of "smol" Google searches. Utilizing data from the Energy Information Administration and Google Trends, we embarked on a thorough investigation to unearth the mysteries that lay beneath this seemingly improbable connection. Our analysis, covering the period from 2012 to 2021, revealed a strikingly high correlation coefficient of 0.9732063, with a remarkably minuscule p-value of < 0.01. This pear of data sets shed light on the sunny side of solar power generation, demonstrating a radiant correlation with the fascination for all things "smol." It appears that when it comes to the search for "smol," solar energy is anything but dim.

[[LITERATURE REVIEW]]
The study of the interconnectedness of solar power generation in specific regions and the patterns of online search behavior has seen a burgeoning interest in recent years. Smith and Doe (2018) conducted a comprehensive analysis of solar energy adoption in various countries, shedding light on the potential impact on climate change mitigation. Jones et al. (2019) delved into the nuances of Google search trends and their correlation with societal interests, providing insights into the dynamics of online information consumption.
Turning to the realm of non-fiction literature, it is pertinent to consider the works of renowned environmentalist Bill McKibben, whose book "The Solar Singularity" offers a comprehensive examination of solar energy's potential to revolutionize global power systems. Additionally, the seminal work "The Google Story" by David A. Vise and Mark Malseed provides an in-depth exploration of the rise of the internet giant and its profound influence on digital interactions and information retrieval.
Venturing into the world of fiction, novels such as "Solar" by Ian McEwan and "The Search" by Nora Roberts offer intriguing narratives that, albeit unrelated to our specific research focus, provide a glimpse into the imaginative realms where the themes of solar power and search activities intertwine.
However, it is essential to acknowledge the significant role of internet culture and memes in shaping online discussions and behaviors. The "smol" phenomenon, often associated with endearing or diminutive traits, has captured the attention of internet users, permeating various platforms with its adorable and lighthearted connotations. The proliferation of "smol" content, particularly in the realm of meme culture, has undoubtedly contributed to the intriguing digital landscape we seek to explore.
As we embark on this scholarly endeavor, it is crucial to navigate the juncture of serious research and the whimsical nature of internet phenomena with prudence and intellectual curiosity. With a nuanced approach, we aim to untangle the web of connections between solar power generation in Honduras and the widespread allure of "smol," shedding light on the interdisciplinary interplay between sustainable energy and the captivating world of internet trends.

[[RESULTS]]
The correlation analysis between solar power generation in Honduras and Google searches for "smol" yielded a remarkable correlation coefficient of 0.9732063, indicating a strong positive relationship between the two variables. This finding suggests that as solar power generation in Honduras increased, there was a corresponding surge in Google searches for "smol." In other words, it seems that the sun isn't the only thing that's getting "smol" attention in Honduras.
The coefficient of determination (r-squared) of 0.9471305 indicates that approximately 94.71% of the variability in "smol" searches can be explained by the variability in solar power generation. It's as if the power of the sun has cast a radiant glow on the fascination with all things "smol" in the digital domain, illuminating a path of inquiry that is both enlightening and, dare I say, pun-believable.
The p-value of < 0.01 further reinforces the robustness of the relationship, providing strong evidence to reject the null hypothesis that there is no association between solar power generation and "smol" Google searches. It appears that this correlation is as clear as day, shining a spotlight on the unexpected and delightful synergy between sustainable energy and internet curiosities.
To visually depict this striking correlation, we present in Figure 1 a scatterplot that succinctly encapsulates the radiant relationship between solar power generation in Honduras and the fervent interest in "smol" across the digital landscape. This figure serves as a beacon of illumination, guiding our journey through the uncharted waters of solar-smol connections.
In summary, the results of this investigation not only substantiate the existence of a significant association between solar power generation in Honduras and Google searches for "smol," but also provide a tantalizing glimpse into the whimsical interplay of renewable energy and online subculture. The findings leave us with a sunny disposition, demonstrating that when it comes to the confluence of solar power and "smol" searches, the future is bright and, quite literally, full of energy.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

In the words of the illustrious humorous physicist Richard Feynman, “I think I can safely say that nobody understands solar power generation in Honduras and its connection to Google searches for 'smol.'” Well, fear not, for our study has attempted to decipher this enigmatic relationship – and oh boy, have we unraveled some illuminating revelations!

Harking back to the literature review, we must acknowledge the insightful parallels between our findings and the whimsical nature of internet phenomena. While some may raise an eyebrow at the seemingly farcical notion of "smol" Google searches, our results unequivocally corroborate the profound impact of solar power generation on these adorable online pursuits. It seems that when it comes to the solar-smol connection, the possibilities are as expansive as the sun’s corona!

The striking correlation coefficient of 0.9732063 has certainly set the bar high for unexpected duos, rivaling peanut butter and jelly in the pantheon of unlikely pairings. This robust statistical evidence, along with the petite p-value of < 0.01, firmly challenges any skeptic who dares to cast shade on the solar-smol alliance. It turns out that the allure of "smol" is not some minuscule blip, but rather a beacon of significance shining brightly in the virtual cosmos.

One might wonder about the practical implications of our findings. Could the fervent interest in "smol" signify a latent enthusiasm for compact solar power solutions, or is it simply a reflection of the endearing allure of small, adorable things? These questions beckon further exploration, teasing us with the potential for exciting interdisciplinary endeavors that bridge the realms of renewable energy and online culture.

As for the visual representation in Figure 1, it serves as a veritable lighthouse in the sea of data, guiding us through the maze of solar-smol connections. The scatterplot not only captures the radiant relationship between solar power generation in Honduras and the digital adoration for "smol" but also serves as a beacon of hope for future research endeavors, beckoning scholars to embrace the offbeat and whimsical aspects of scientific inquiry.

In the grand tapestry of scholarly pursuits, the intersection of sustainable energy and internet curiosities may seem like an odd couple. However, our findings add a touch of sunshine to this unconventional pairing, showing that when it comes to the online fascination with "smol," the sunshine state of Honduras is basking in the glow of an unexpected, yet undeniable, connection.

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 Solar power generated in Honduras and Google searches for 'smol'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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]]
The Sunny Side Up: Shedding Light on the Solar-Smol Connection

[[ABSTRACT]]
In this study, we examine the curious relationship between solar power generation in Honduras and the voluminous phenomena of "smol" Google searches. Utilizing data from the Energy Information Administration and Google Trends, we embarked on a thorough investigation to unearth the mysteries that lay beneath this seemingly improbable connection. Our analysis, covering the period from 2012 to 2021, revealed a strikingly high correlation coefficient of 0.9732063, with a remarkably minuscule p-value of < 0.01. This pear of data sets shed light on the sunny side of solar power generation, demonstrating a radiant correlation with the fascination for all things "smol." It appears that when it comes to the search for "smol," solar energy is anything but dim.

[[INTRDUCTION]]
The pursuit of sustainable energy sources has become increasingly paramount in the wake of environmental concerns and the threat of climate change. As a result, countries around the world have been turning towards renewable energy, with solar power emerging as a promising contender in the quest for clean, renewable electricity. Meanwhile, the digital age has ushered in a new era of virtual exploration, where users navigate the intricate web of information with the click of a button. In this context, it has become evident that the world is witnessing a surge in unexpected connections and relationships, akin to finding a rare Pokémon in the tall grass of the internet.
As we delve into the realms of solar power generation in Honduras and the peculiar penchant for "smol" in the realm of Google searches, we find ourselves on an unconventional and, dare I say, enlightening journey. The nature of this investigation brings to mind the words of renowned physicist Max Planck, who famously quipped, "When you change the way you look at things, the things you look at change." With this in mind, we set out to investigate this uncharted territory, aiming to illuminate the hitherto undiscovered connections between solar energy and the virtual pursuit of the "smol" phenomenon.
The correlation we have uncovered may seem unexpected, akin to finding a shiny Charizard in a stack of Pikachu cards. However, as the renowned writer Isaac Asimov noted, "The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'" Our findings stand as a testament to the remarkable and often perplexing phenomena that lie at the intersection of renewable energy and online culture.
In the pages that follow, we will endeavor to unravel the intricacies of this solar-smol connection, shedding light on what can only be described as a luminous relationship between the power of the sun and the allure of all things "smol." Prepare to set sail on a voyage of discovery, where the winds of scientific inquiry blow alongside the playful zephyrs of internet culture.

[[RESULTS]]
The correlation analysis between solar power generation in Honduras and Google searches for "smol" yielded a remarkable correlation coefficient of 0.9732063, indicating a strong positive relationship between the two variables. This finding suggests that as solar power generation in Honduras increased, there was a corresponding surge in Google searches for "smol." In other words, it seems that the sun isn't the only thing that's getting "smol" attention in Honduras.
The coefficient of determination (r-squared) of 0.9471305 indicates that approximately 94.71% of the variability in "smol" searches can be explained by the variability in solar power generation. It's as if the power of the sun has cast a radiant glow on the fascination with all things "smol" in the digital domain, illuminating a path of inquiry that is both enlightening and, dare I say, pun-believable.
The p-value of < 0.01 further reinforces the robustness of the relationship, providing strong evidence to reject the null hypothesis that there is no association between solar power generation and "smol" Google searches. It appears that this correlation is as clear as day, shining a spotlight on the unexpected and delightful synergy between sustainable energy and internet curiosities.
To visually depict this striking correlation, we present in Figure 1 a scatterplot that succinctly encapsulates the radiant relationship between solar power generation in Honduras and the fervent interest in "smol" across the digital landscape. This figure serves as a beacon of illumination, guiding our journey through the uncharted waters of solar-smol connections.
In summary, the results of this investigation not only substantiate the existence of a significant association between solar power generation in Honduras and Google searches for "smol," but also provide a tantalizing glimpse into the whimsical interplay of renewable energy and online subculture. The findings leave us with a sunny disposition, demonstrating that when it comes to the confluence of solar power and "smol" searches, the future is bright and, quite literally, full of energy.

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Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our study has uncovered a strikingly strong correlation between solar power generation in Honduras and Google searches for "smol," illuminating a radiant relationship that has left us feeling positively charged. The remarkable correlation coefficient of 0.9732063 and an r-squared of 0.9471305 attest to the sunny side of this burgeoning connection, shedding light on an unexpected synergy that has captured our scientific attention. It seems that when it comes to the allure of "smol," the sun's energy is anything but dim, exerting its influence in the digital realm much like a beaming parent trying to make their offspring the center of attention.

The robustness of this relationship, as evidenced by the minuscule p-value of < 0.01, calls to mind the undeniable force of the sun's rays, peeling back the layers of internet inquiries to reveal a captivating association that has us positively (and pun-believably) charged.

This study has opened the door to a realm of investigation where the seemingly mundane world of renewable energy rubs shoulders with the eccentricities of online culture, much like a solar-powered spaceship navigating the cosmic web of internet curiosities.

It is our firm belief that this connection between solar energy and "smol" searches does not require further exploration. The correlation is clear, and the potential for future research appears to have dim prospects, much like a solar eclipse on a cloudy day.

In the wise words of author C.S. Lewis, "You can never get a cup of tea large enough or a book long enough to suit me." With that in mind, we propose that this peculiar solar-smol connection has sufficiently quenched our thirst for discovery, leaving the field wide open for other curious and quirky correlations to be explored.

Yes, it's time to let this solar-smol duo bask in the glow of their own spotlight and shine like the stars they are.

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 The Sunny Side Up: Shedding Light on the Solar-Smol Connection. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Solar and Interstellar Studies

Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited The Sunny Side Up: Shedding Light on the Solar-Smol Connection. Respond only with the name of a fictional organization.

ChatGPT:

Society for Sol-Smol Studies

Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled The Sunny Side Up: Shedding Light on the Solar-Smol Connection with an abstract of In this study, we examine the curious relationship between solar power generation in Honduras and the voluminous phenomena of "smol" Google searches. Utilizing data from the Energy Information Administration and Google Trends, we embarked on a thorough investigation to unearth the mysteries that lay beneath this seemingly improbable connection. Our analysis, covering the period from 2012 to 2021, revealed a strikingly high correlation coefficient of 0.9732063, with a remarkably minuscule p-value of < 0.01. This pear of data sets shed light on the sunny side of solar power generation, demonstrating a radiant correlation with the fascination for all things "smol." It appears that when it comes to the search for "smol," solar energy is anything but dim.

ChatGPT:

solar power generation, Honduras, smol, Google searches, Energy Information Administration, Google Trends, correlation coefficient, p-value, solar energy

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

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Data details

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

Google searches for 'smol'
Detailed data title: Relative volume of Google searches for 'smol' (Worldwide, without quotes)
Source: Google Trends
Additional Info: ^{See full details} Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'smol'

Correlation r = 0.9732063 (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 = 0.9471305 (Coefficient of determination)
This means 94.7% of the change in the one variable (i.e., Google searches for 'smol') is predictable based on the change in the other (i.e., Solar power generated in Honduras) over the 10 years from 2012 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.2E-6.^Show 0.0000021831199565457200000000
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 0.00022% of random cases. Said differently, if you correlated 458,060 random variables^Note You don't actually need 458 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
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
Google searches for 'smol' (Rel. search volume)	21.3333	26.5	32.0833	46	74.8333	85.1667	86.3333	84.25	89.0833	83.1667

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([0.007,0.007,0.007,0.425,0.892,0.929,0.997,1.118,1.046,1.27612,])
array_2 = np.array([21.3333,26.5,32.0833,46,74.8333,85.1667,86.3333,84.25,89.0833,83.1667,])
array_1_name = "Solar power generated in Honduras"
array_2_name = "Google searches for 'smol'"

# 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 Solar power generated in Honduras
Line chart for only Google searches for 'smol'
AI-generated correlation image
The spurious research paper: The Sunny Side Up: Shedding Light on the Solar-Smol Connection

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Correlation ID: 1972 · Black Variable ID: 23721 · Red Variable ID: 1370


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