Download png, svg
AI explanation
Perhaps the surplus solar power led to an unexpected demand for mini-fridges, prompting more people to stock up on ice for their impromptu spa days!
Model: dalle-3
Prompt: Generate an image showing a minimalist representation of a tranquil Belgian garden scene. In the foreground, a small, sleek solar panel is soaking up the sunlight, casting a gentle shadow on the ground. In the background, a solitary figure sits on the edge of an ice bath, with a smartphone in hand, appearing to be seeking information. The garden is serene, with clean lines and a sense of calm. The sunlight bathes the entire scene, creating a peaceful and harmonious 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 Belgium and Google searches for 'ice bath'. 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: Minimalism Pop art Steampunk Pop art Symbolism
ChatGPT: Minimalism
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 Belgium and Google searches for 'ice bath' together. Keep the description simple.
ChatGPT: In a sunny corner of a Belgian garden, a small solar panel is basking in the sunshine, generating clean energy. Nearby, a person is sitting on the edge of an ice bath, appearing to search for tips on their phone.
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: [ Minimalism ] and depicting this scene: In a sunny corner of a Belgian garden, a small solar panel is basking in the sunshine, generating clean energy. Nearby, a person is sitting on the edge of an ice bath, appearing to search for tips on their phone. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image showing a minimalist representation of a tranquil Belgian garden scene. In the foreground, a small, sleek solar panel is soaking up the sunlight, casting a gentle shadow on the ground. In the background, a solitary figure sits on the edge of an ice bath, with a smartphone in hand, appearing to be seeking information. The garden is serene, with clean lines and a sense of calm. The sunlight bathes the entire scene, creating a peaceful and harmonious 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.
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 Belgium caused ice bath (Google searches for 'ice bath') to increase.
AI academic paper
 |
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath' The Journal of Solar Energy and Human Behavior Jan 2024 Reminder: This paper is AI-generated. Not real! |
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.
Please draft the title and abstract of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.
Make the title a clever pun.
Your research team used data from Energy Information Administration and Google Trends to assess this nagging question. You found a correlation coefficient of 0.9910090 and p < 0.01 for 2004 to 2021.
Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)
[[TITLE]]
Lorem ipsum dolor sit
[[ABSTRACT]]
Lorem ipsum dolor sit
ChatGPT:
[[TITLE]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.
Please make up the introduction section of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.
Here is the title and abstract of the paper:
[[TITLE]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
-------
Your response should start like this:
[[INTRODUCTION]]
ChatGPT:
[[INTRODUCTION]]
The relationship between solar power and Google searches for 'ice bath' may, at first glance, seem as incongruous as pairing socks from the dryer, but upon further scrutiny, a remarkable connection emerges. As the sun generously bestows its rays upon Belgium, it appears that residents are concurrently seeking ways to cool off - or at least satisfy their curiosity about icy remedies. This unexpected correlation between harnessing solar energy and contemplating the comfort of a frigid soak prompts us to delve deeper into this frosty fusion.
Investigating the juxtaposition of solar power and 'ice bath' searches has brought to light an intriguing parallel – it's almost as if the sun is saying, "I'm giving you all this heat, so you'd better find a way to chill out!" While this may seem a bit far-fetched, our statistical analysis reveals a stark truth: the correlation coefficient between solar power production and 'ice bath' searches is as strong as a well-mixed mojito, leaving little room for doubt about the connection.
One might wonder if this association is purely coincidental, but our findings solidify the notion that it's no fluke. Just as the moon dictates the tides, it seems that solar power has an uncanny influence on prompting individuals to contemplate administering a temperature plunge to themselves. It's as if the sun and the search bar have struck up an unlikely partnership, akin to a penguin and a palm tree getting together for a routine chat.
A humble piece of wisdom from our dads comes to mind in light of these findings: "You can harness the power of the sun, but don't forget the grandeur of an ice-cold bath." As we embark on this journey to unravel the quirky conundrum at hand, we aim to shed light – some solar, some search engine – on the intriguing relationship between environmental factors and human behavior. Our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool.
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.
Please make up a literature review section of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.
Speak in the present tense for this section (the authors find...), as is common in academic research paper literature reviews. Name the sources in a format similar to this: In "Book," the authors find lorem and ipsum.
Make up the lorem and ipsum part, but make it sound related to the topic at hand.
Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a few real TV shows that sound like they might be relevant to the topic that you watched as research.
Here is the title and abstract of the paper:
[[TITLE]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
-------
And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The relationship between solar power and Google searches for 'ice bath' may, at first glance, seem as incongruous as pairing socks from the dryer, but upon further scrutiny, a remarkable connection emerges. As the sun generously bestows its rays upon Belgium, it appears that residents are concurrently seeking ways to cool off - or at least satisfy their curiosity about icy remedies. This unexpected correlation between harnessing solar energy and contemplating the comfort of a frigid soak prompts us to delve deeper into this frosty fusion.
Investigating the juxtaposition of solar power and 'ice bath' searches has brought to light an intriguing parallel – it's almost as if the sun is saying, "I'm giving you all this heat, so you'd better find a way to chill out!" While this may seem a bit far-fetched, our statistical analysis reveals a stark truth: the correlation coefficient between solar power production and 'ice bath' searches is as strong as a well-mixed mojito, leaving little room for doubt about the connection.
One might wonder if this association is purely coincidental, but our findings solidify the notion that it's no fluke. Just as the moon dictates the tides, it seems that solar power has an uncanny influence on prompting individuals to contemplate administering a temperature plunge to themselves. It's as if the sun and the search bar have struck up an unlikely partnership, akin to a penguin and a palm tree getting together for a routine chat.
A humble piece of wisdom from our dads comes to mind in light of these findings: "You can harness the power of the sun, but don't forget the grandeur of an ice-cold bath." As we embark on this journey to unravel the quirky conundrum at hand, we aim to shed light – some solar, some search engine – on the intriguing relationship between environmental factors and human behavior. Our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool.
-------
Your response should start like this:
[[LITERATURE REVIEW]]
ChatGPT:
[[LITERATURE REVIEW]]
As we submerge ourselves into the research surrounding the connection between solar power generated in Belgium and Google searches for 'ice bath', we initially encounter a multitude of serious and scholarly works. In "The Journal of Renewable Energy," Smith and Doe uncover the impact of solar power on local energy consumption, laying the groundwork for our investigation. Jones, in "Energy Economics Review," discusses the potential effects of solar energy generation on individual behavior, paving the way for our exploration into the curious realm of 'ice bath' searches.
The relationship between these quirky elements might be likened to a pun – unexpected, slightly groan-inducing, and yet strangely delightful. Perhaps our study sheds light not only on the temperature differentials but also on the enigmatic whims of human behavior when faced with the dual allure of a sunny day and the prospect of a frigid plunge.
Turning our attention to non-fiction literature, "Solar Power in Practice" by Anderson and "The Science of Chilling Out" by White offer insights into solar power utilization and the psychological effects of cold therapy, respectively. These works elucidate the individual components of our investigation, though in a more composed and dignified tone than we may employ in this paper.
Venturing into the realm of fiction, "The Iceberg Affair" by Frost and "Solar Flare: A Heating Revelation" by Ray, provide a whimsical backdrop for our exploration, mirroring the unexpected and potentially absurd nature of our research question. Like characters in a novel, solar power and 'ice bath' searches have teamed up for an unlikely adventure, piquing our curiosity and embarking on an exploration of their frosty partnership.
On the big screen, "Solar Soak: A Chilling Thriller" and "Icy Investigations: A Google Odyssey" offer a script for a potential blockbuster, delving into the heart-pounding drama of solar power and the quest for cold comfort. As avid researchers, we are drawn not only to academic pursuits but also to the cultural reflections of our topic, seeking inspiration from even the most unexpected sources.
In the vein of televised research, "Chill and Click: A Quest for Cool Queries" and "Sunshine and Searches: A Love Story" each reflect the humorous and mysterious allure of this unlikely relationship. Our investigation mirrors the vibrant and unpredictable nature of these programs, weaving a narrative that captivates and entertains, much like a dad's favorite corny joke.
With an understanding of the scholarly foundation, a nod to the fictional realms, and a touch of humor from the small screen, we proceed to unpack the intriguing and often comical insights surrounding the relationship between solar power in Belgium and Google searches for 'ice bath.'
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.
Please make up the methodology section of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.
Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Google Trends . You used data from 2004 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]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
[[INTRODUCTION]]
The relationship between solar power and Google searches for 'ice bath' may, at first glance, seem as incongruous as pairing socks from the dryer, but upon further scrutiny, a remarkable connection emerges. As the sun generously bestows its rays upon Belgium, it appears that residents are concurrently seeking ways to cool off - or at least satisfy their curiosity about icy remedies. This unexpected correlation between harnessing solar energy and contemplating the comfort of a frigid soak prompts us to delve deeper into this frosty fusion.
Investigating the juxtaposition of solar power and 'ice bath' searches has brought to light an intriguing parallel – it's almost as if the sun is saying, "I'm giving you all this heat, so you'd better find a way to chill out!" While this may seem a bit far-fetched, our statistical analysis reveals a stark truth: the correlation coefficient between solar power production and 'ice bath' searches is as strong as a well-mixed mojito, leaving little room for doubt about the connection.
One might wonder if this association is purely coincidental, but our findings solidify the notion that it's no fluke. Just as the moon dictates the tides, it seems that solar power has an uncanny influence on prompting individuals to contemplate administering a temperature plunge to themselves. It's as if the sun and the search bar have struck up an unlikely partnership, akin to a penguin and a palm tree getting together for a routine chat.
A humble piece of wisdom from our dads comes to mind in light of these findings: "You can harness the power of the sun, but don't forget the grandeur of an ice-cold bath." As we embark on this journey to unravel the quirky conundrum at hand, we aim to shed light – some solar, some search engine – on the intriguing relationship between environmental factors and human behavior. Our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool.
-------
Your response should start like this:
[[METHODOLOGY]]
ChatGPT:
[[METHODOLOGY]]
To unravel the enigmatic connection between solar power in Belgium and the frequency of Google searches for 'ice bath,' our research team embarked on an odyssey through datasets and search queries that would make Odysseus himself a tad jealous. First, we gathered historical data on solar power production in Belgium from the Energy Information Administration, meticulously documenting kilowatt-hours of solar energy generated with the attention to detail of an artist capturing the nuances of light and shadow. Then, we delved into the curious realm of Google Trends, unfurling the digital tapestry of 'ice bath' searches from 2004 to 2021 with the vigilant curiosity of a kitten uncovering a thread.
Our data analysis involved a multidimensional approach that would have made Schroedinger's cat question the many states of its existence. We deployed the arcane arts of statistical wizardry, including but not limited to Pearson's correlation coefficient, to unveil the extent of the relationship between solar power and 'ice bath' searches. Embracing the bountiful blessings of technology and computing power, we crunched numbers with the gusto of a chef concocting a new recipe, aiming to distill meaningful insights from the ethers of data.
With the finesse of a team of synchronized swimmers navigating the data sea, we navigated potential confounding variables, like temperature and seasonality, to ensure that our conclusions were as clear as a cold winter's day. We also employed time series analysis to capture the dynamic ebb and flow of solar power production and 'ice bath' searches, painting a vivid portrait of their intertwined dance that could rival the grace of a pair of figure skaters gliding across the ice.
Now, brace yourselves for a dose of humor fresher than a snowball to the face: Speaking of time series analysis, we discovered that the relationship between solar power and 'ice bath' searches is as enduring as a dad joke – it just keeps coming back, whether you like it or not!
Furthermore, we conducted sensitivity analyses to test the robustness of our findings, ensuring that our results were as sturdy as a well-built igloo in the face of potential perturbations. We also validated our models with cross-validation techniques, akin to double-checking that the thermostat in your sauna truly sets the right temperature for a good sweat session.
In the grand tradition of scientific inquiry, we are acutely aware of the limitations of our study. As much as we tried to capture the essence of this frosty phenomenon, the complexities of human behavior and the transient nature of internet search queries may elude our grasp, much like a slippery ice cube evades capture. Nonetheless, our methodology stands steadfast as an earnest attempt to unravel the captivating mystery of solar power's siren song to those in search of a bracing cold.
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.
Please make up the results section of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.
Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Google Trends .
For the time period 2004 to 2021, you found a correlation 0.9910090, r-squared of 0.9820988, 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]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
-------
And here is the methodology section that led to this result:
[[METHODOLOGY]]
The relationship between solar power and Google searches for 'ice bath' may, at first glance, seem as incongruous as pairing socks from the dryer, but upon further scrutiny, a remarkable connection emerges. As the sun generously bestows its rays upon Belgium, it appears that residents are concurrently seeking ways to cool off - or at least satisfy their curiosity about icy remedies. This unexpected correlation between harnessing solar energy and contemplating the comfort of a frigid soak prompts us to delve deeper into this frosty fusion.
Investigating the juxtaposition of solar power and 'ice bath' searches has brought to light an intriguing parallel – it's almost as if the sun is saying, "I'm giving you all this heat, so you'd better find a way to chill out!" While this may seem a bit far-fetched, our statistical analysis reveals a stark truth: the correlation coefficient between solar power production and 'ice bath' searches is as strong as a well-mixed mojito, leaving little room for doubt about the connection.
One might wonder if this association is purely coincidental, but our findings solidify the notion that it's no fluke. Just as the moon dictates the tides, it seems that solar power has an uncanny influence on prompting individuals to contemplate administering a temperature plunge to themselves. It's as if the sun and the search bar have struck up an unlikely partnership, akin to a penguin and a palm tree getting together for a routine chat.
A humble piece of wisdom from our dads comes to mind in light of these findings: "You can harness the power of the sun, but don't forget the grandeur of an ice-cold bath." As we embark on this journey to unravel the quirky conundrum at hand, we aim to shed light – some solar, some search engine – on the intriguing relationship between environmental factors and human behavior. Our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool.
-------
Your response should start like this:
[[RESULTS]]
ChatGPT:
[[RESULTS]]
The relationship between solar power generated in Belgium and Google searches for 'ice bath' yielded some unexpectedly chilling results. After analyzing data from the Energy Information Administration and Google Trends spanning from 2004 to 2021, we uncovered a correlation coefficient of 0.9910090, with an r-squared of 0.9820988 and a p-value of less than 0.01. Frankly, the strong correlation left us feeling rather polarized – not just because of the significant statistical results, but also thanks to the nature of the investigated phenomena.
In Fig. 1, a scatterplot visually depicts the robust relationship between solar power and 'ice bath' searches, providing clear evidence of the frosty fusion between these two seemingly disparate elements. It seems that the allure of soaking up sunshine and the desire for a brisk cooling off have formed an unbreakable bond, much like Batman and Robin, only far cooler in nature – pun intended.
Our findings not only reaffirm the existing association but also illuminate its persistence throughout the year, including the colder months. It appears that this relationship is not merely a fair-weather phenomenon but endures even when the weather turns chilly – or should we say, "chilly-er." It's as if the sun and the search bar have struck up an unlikely partnership, not unlike an odd couple who surprisingly get along swimmingly (pun fully intended).
In conclusion, our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool – just like an ice bath on a hot summer day. This quirky conundrum sheds new light on the unexpected ways in which environmental factors can influence human behavior, and who knows, it might just inspire a new generation of solar-powered ice baths!
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.
Please make up the discussion section of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.
Limit your response to 500 tokens.
Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.
Do not write a conclusion. I will add a conclusion after this.
[[TITLE]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
[[LITERATURE REVIEW]]
As we submerge ourselves into the research surrounding the connection between solar power generated in Belgium and Google searches for 'ice bath', we initially encounter a multitude of serious and scholarly works. In "The Journal of Renewable Energy," Smith and Doe uncover the impact of solar power on local energy consumption, laying the groundwork for our investigation. Jones, in "Energy Economics Review," discusses the potential effects of solar energy generation on individual behavior, paving the way for our exploration into the curious realm of 'ice bath' searches.
The relationship between these quirky elements might be likened to a pun – unexpected, slightly groan-inducing, and yet strangely delightful. Perhaps our study sheds light not only on the temperature differentials but also on the enigmatic whims of human behavior when faced with the dual allure of a sunny day and the prospect of a frigid plunge.
Turning our attention to non-fiction literature, "Solar Power in Practice" by Anderson and "The Science of Chilling Out" by White offer insights into solar power utilization and the psychological effects of cold therapy, respectively. These works elucidate the individual components of our investigation, though in a more composed and dignified tone than we may employ in this paper.
Venturing into the realm of fiction, "The Iceberg Affair" by Frost and "Solar Flare: A Heating Revelation" by Ray, provide a whimsical backdrop for our exploration, mirroring the unexpected and potentially absurd nature of our research question. Like characters in a novel, solar power and 'ice bath' searches have teamed up for an unlikely adventure, piquing our curiosity and embarking on an exploration of their frosty partnership.
On the big screen, "Solar Soak: A Chilling Thriller" and "Icy Investigations: A Google Odyssey" offer a script for a potential blockbuster, delving into the heart-pounding drama of solar power and the quest for cold comfort. As avid researchers, we are drawn not only to academic pursuits but also to the cultural reflections of our topic, seeking inspiration from even the most unexpected sources.
In the vein of televised research, "Chill and Click: A Quest for Cool Queries" and "Sunshine and Searches: A Love Story" each reflect the humorous and mysterious allure of this unlikely relationship. Our investigation mirrors the vibrant and unpredictable nature of these programs, weaving a narrative that captivates and entertains, much like a dad's favorite corny joke.
With an understanding of the scholarly foundation, a nod to the fictional realms, and a touch of humor from the small screen, we proceed to unpack the intriguing and often comical insights surrounding the relationship between solar power in Belgium and Google searches for 'ice bath.'
[[RESULTS]]
The relationship between solar power generated in Belgium and Google searches for 'ice bath' yielded some unexpectedly chilling results. After analyzing data from the Energy Information Administration and Google Trends spanning from 2004 to 2021, we uncovered a correlation coefficient of 0.9910090, with an r-squared of 0.9820988 and a p-value of less than 0.01. Frankly, the strong correlation left us feeling rather polarized – not just because of the significant statistical results, but also thanks to the nature of the investigated phenomena.
In Fig. 1, a scatterplot visually depicts the robust relationship between solar power and 'ice bath' searches, providing clear evidence of the frosty fusion between these two seemingly disparate elements. It seems that the allure of soaking up sunshine and the desire for a brisk cooling off have formed an unbreakable bond, much like Batman and Robin, only far cooler in nature – pun intended.
Our findings not only reaffirm the existing association but also illuminate its persistence throughout the year, including the colder months. It appears that this relationship is not merely a fair-weather phenomenon but endures even when the weather turns chilly – or should we say, "chilly-er." It's as if the sun and the search bar have struck up an unlikely partnership, not unlike an odd couple who surprisingly get along swimmingly (pun fully intended).
In conclusion, our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool – just like an ice bath on a hot summer day. This quirky conundrum sheds new light on the unexpected ways in which environmental factors can influence human behavior, and who knows, it might just inspire a new generation of solar-powered ice baths!
-------
Your response should start like this:
[[DISCUSSION]]
ChatGPT:
[[DISCUSSION]]
The findings of our study highlight a surprisingly strong and consistent relationship between solar power generation in Belgium and Google searches for 'ice bath.' Our results support previous research that documented the impact of environmental factors, such as solar energy, on human behavior. The substantial correlation coefficient of 0.9910090 and statistically significant p-value reinforce the notion that there is a robust connection between these seemingly unrelated variables.
Our study provides empirical evidence that the relationship between solar power and 'ice bath' searches is not a mere fluke but a substantial and enduring phenomenon. This finding supports the initial musings we encountered in the literature review, likening the polarized relationship between these elements to a pun—unexpected, slightly groan-inducing, and yet strangely delightful.
Moreover, our results align with prior studies in the field, such as Smith and Doe's investigation into the impact of solar power on energy consumption, illustrating how environmental factors can influence human behavior. Indeed, our study demonstrates that the allure of sunshine-generated energy and the allure of a refreshing ice bath have formed an unbreakable bond. It's almost as if solar power and 'ice bath' searches have teamed up for an unlikely adventure, much like characters in a novel or the dynamic duo Batman and Robin – although far cooler, or should I say, colder in nature.
Furthermore, our findings confirm that the relationship between solar power and 'ice bath' searches persists throughout the year, including the colder months. This emphasizes the conclusions drawn by Jones in "Energy Economics Review," who discussed the potential effects of solar energy generation on individual behavior. It appears that this partnership is not merely a fair-weather phenomenon but endures even when the weather turns chilly – or should we say, "chilly-er."
In summary, our study not only sheds light on the unexpected ways in which environmental factors can influence human behavior, but it also invites further exploration and perhaps a few more puns. This research has uncovered a frosty phenomenon worthy of continued investigation, all while keeping our cool—just like an ice bath on a hot summer day.
Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.
Please make up a short conclusion of an academic research paper presenting the findings of the connection between Solar power generated in Belgium and Google searches for 'ice bath'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.
Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.
Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
[[ABSTRACT]]
As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
[[INTRDUCTION]]
The relationship between solar power and Google searches for 'ice bath' may, at first glance, seem as incongruous as pairing socks from the dryer, but upon further scrutiny, a remarkable connection emerges. As the sun generously bestows its rays upon Belgium, it appears that residents are concurrently seeking ways to cool off - or at least satisfy their curiosity about icy remedies. This unexpected correlation between harnessing solar energy and contemplating the comfort of a frigid soak prompts us to delve deeper into this frosty fusion.
Investigating the juxtaposition of solar power and 'ice bath' searches has brought to light an intriguing parallel – it's almost as if the sun is saying, "I'm giving you all this heat, so you'd better find a way to chill out!" While this may seem a bit far-fetched, our statistical analysis reveals a stark truth: the correlation coefficient between solar power production and 'ice bath' searches is as strong as a well-mixed mojito, leaving little room for doubt about the connection.
One might wonder if this association is purely coincidental, but our findings solidify the notion that it's no fluke. Just as the moon dictates the tides, it seems that solar power has an uncanny influence on prompting individuals to contemplate administering a temperature plunge to themselves. It's as if the sun and the search bar have struck up an unlikely partnership, akin to a penguin and a palm tree getting together for a routine chat.
A humble piece of wisdom from our dads comes to mind in light of these findings: "You can harness the power of the sun, but don't forget the grandeur of an ice-cold bath." As we embark on this journey to unravel the quirky conundrum at hand, we aim to shed light – some solar, some search engine – on the intriguing relationship between environmental factors and human behavior. Our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool.
[[RESULTS]]
The relationship between solar power generated in Belgium and Google searches for 'ice bath' yielded some unexpectedly chilling results. After analyzing data from the Energy Information Administration and Google Trends spanning from 2004 to 2021, we uncovered a correlation coefficient of 0.9910090, with an r-squared of 0.9820988 and a p-value of less than 0.01. Frankly, the strong correlation left us feeling rather polarized – not just because of the significant statistical results, but also thanks to the nature of the investigated phenomena.
In Fig. 1, a scatterplot visually depicts the robust relationship between solar power and 'ice bath' searches, providing clear evidence of the frosty fusion between these two seemingly disparate elements. It seems that the allure of soaking up sunshine and the desire for a brisk cooling off have formed an unbreakable bond, much like Batman and Robin, only far cooler in nature – pun intended.
Our findings not only reaffirm the existing association but also illuminate its persistence throughout the year, including the colder months. It appears that this relationship is not merely a fair-weather phenomenon but endures even when the weather turns chilly – or should we say, "chilly-er." It's as if the sun and the search bar have struck up an unlikely partnership, not unlike an odd couple who surprisingly get along swimmingly (pun fully intended).
In conclusion, our findings invite further exploration and perhaps a few more puns, but for now, they certainly give us plenty to mull over, all while keeping our cool – just like an ice bath on a hot summer day. This quirky conundrum sheds new light on the unexpected ways in which environmental factors can influence human behavior, and who knows, it might just inspire a new generation of solar-powered ice baths!
-------
Your response should start like this:
[[CONCLUSION]]
ChatGPT:
[[CONCLUSION]]
As we reflect on the surprising connection between solar power generation in Belgium and Google searches for 'ice bath', it becomes clear that this research has left us feeling both enlightened and delightfully chilled to the bone. Our findings have uncovered a remarkable correlation coefficient, akin to two peas in a pod - or rather two ice cubes in a cooler.
Our statistical analysis presented a stark truth: the bond between harnessing solar energy and contemplating the comfort of an ice bath is not a mere fluke, but a frosty phenomenon worthy of further investigation. It's as if the sun and the search bar have entered into a partnership, much like a chilly dip and a steamy sauna - an odd couple brought together by a twist of fate.
In line with the timeless wisdom of our fathers, we mustn't forget the grandeur of an ice-cold bath, especially in the midst of harnessing the power of the sun. This research not only sheds new light on the unexpected ways in which environmental factors can influence human behavior, but also suggests the possibility of a new era: the era of solar-powered ice baths – a cool concept indeed.
In light of our findings, we confidently assert that no further research is needed in this area. Much like a perfectly timed dad joke, our study has humorously but definitively illuminated this frosty fusion between solar power and ice baths. It's time for us to chill out and ponder the implications of our findings, all while keeping our cool, just like a refreshing ice bath on a sunny day.
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 Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'. Respond only with the name of a fictional academic journal.
ChatGPT:
The Journal of Solar Energy and Human Behavior
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 Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'. Respond only with the name of a fictional organization.
ChatGPT:
The Cosmic Energy Research Institute
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 Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath' with an abstract of As the old saying goes, "When life gives you solar power, make ice baths!" In this study, we dive into the surprisingly cooling relationship between the amount of solar power generated in Belgium and the frequency of Google searches for 'ice bath.' At first glance, one might wonder what possible connection could exist between these two seemingly unrelated phenomena, but our research uncovered some chilling insights.
Using data from the Energy Information Administration and Google Trends, we meticulously analyzed the solar power production in Belgium and the frequency of Google searches for 'ice bath' from 2004 to 2021. Our findings revealed a remarkable correlation coefficient of 0.9910090, with a statistically significant p-value of less than 0.01. This high correlation left us feeling quite polarized – the relationship between solar power and 'ice bath' searches was not a mere fluke, but a frosty phenomenon worthy of further investigation.
One might think that the connection is simply that people search for ice baths on hot, sunny days, but this correlation remained strong even during the cooler months. It appears that the allure of sunshine-generated energy and the prospect of a refreshing ice bath have formed an unbreakable bond. Much like the relationship between a person and their morning cup of coffee, the people of Belgium have seemingly found a way to get their daily dose of energy from the sun and their daily bit of chill from the search bar.
In conclusion, as we reflect on our findings, we are reminded of the timeless wisdom of our fathers: "It's a sun-derful day for solar power, but don't forget to keep your cool with an ice bath!" This research opens the door to new avenues for understanding human behavior in response to environmental factors, and presents a quirky conundrum for further exploration.
ChatGPT:
solar power, Belgium, ice bath, Google searches, correlation, Energy Information Administration, Google Trends, solar power production, environmental factors, human behavior
*There is a bunch of Python happening behind the scenes to turn this prompt sequence into a PDF.
Discover a new correlation
View all correlations
View all research papers
Report an error
Data details
Solar power generated in BelgiumDetailed data title: Total solar power generated in Belgium in billion kWh
Source: Energy Information Administration
See what else correlates with Solar power generated in Belgium
Google searches for 'ice bath'
Detailed data title: Relative volume of Google searches for 'ice bath' (Worldwide, without quotes)
Source: Google Trends
Additional Info: Relative search volume (not absolute numbers)
See what else correlates with Google searches for 'ice bath'
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 = 0.9820988 (Coefficient of determination)
This means 98.2% of the change in the one variable (i.e., Google searches for 'ice bath') is predictable based on the change in the other (i.e., Solar power generated in Belgium) over the 18 years from 2004 through 2021.
p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.09E-15. 0.0000000000000020875921717458
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.
But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.
Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.99 in 2.09E-13% of random cases. Said differently, if you correlated 479,020,765,422,647 random variables You don't actually need 479 trillion 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 17 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 17 because we have two variables measured over a period of 18 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.
[ 0.98, 1 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.
This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!
All values for the years included above: If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.
Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
| 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | |
| Solar power generated in Belgium (Billion kWh) | 0.001 | 0.001 | 0.002 | 0.006 | 0.042 | 0.166 | 0.56 | 1.169 | 2.131 | 2.624 | 2.8652 | 3.0342 | 3.0728 | 3.2841 | 3.8756 | 4.222 | 5.0689 | 5.5681 |
| Google searches for 'ice bath' (Rel. search volume) | 8.91667 | 8.75 | 8.08333 | 9 | 9.66667 | 9.83333 | 12.25 | 13.6667 | 17.1667 | 17.5 | 19 | 19.9167 | 20.3333 | 20.9167 | 21.8333 | 23.5 | 23.75 | 27.0833 |
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
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
Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
Try it yourself
You can calculate the values on this page on your own! Try running the Python code to see the calculation results. Step 1: Download and install Python on your computer.Step 2: Open a plaintext editor like Notepad and paste the code below into it.
Step 3: Save the file as "calculate_correlation.py" in a place you will remember, like your desktop. Copy the file location to your clipboard. On Windows, you can right-click the file and click "Properties," and then copy what comes after "Location:" As an example, on my computer the location is "C:\Users\tyler\Desktop"
Step 4: Open a command line window. For example, by pressing start and typing "cmd" and them pressing enter.
Step 5: Install the required modules by typing "pip install numpy", then pressing enter, then typing "pip install scipy", then pressing enter.
Step 6: Navigate to the location where you saved the Python file by using the "cd" command. For example, I would type "cd C:\Users\tyler\Desktop" and push enter.
Step 7: Run the Python script by typing "python calculate_correlation.py"
If you run into any issues, I suggest asking ChatGPT to walk you through installing Python and running the code below on your system. Try this question:
"Walk me through installing Python on my computer to run a script that uses scipy and numpy. Go step-by-step and ask me to confirm before moving on. Start by asking me questions about my operating system so that you know how to proceed. Assume I want the simplest installation with the latest version of Python and that I do not currently have any of the necessary elements installed. Remember to only give me one step per response and confirm I have done it before proceeding."
# These modules make it easier to perform the calculation
import numpy as np
from scipy import stats
# We'll define a function that we can call to return the correlation calculations
def calculate_correlation(array1, array2):
# Calculate Pearson correlation coefficient and p-value
correlation, p_value = stats.pearsonr(array1, array2)
# Calculate R-squared as the square of the correlation coefficient
r_squared = correlation**2
return correlation, r_squared, p_value
# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([0.001,0.001,0.002,0.006,0.042,0.166,0.56,1.169,2.131,2.624,2.8652,3.0342,3.0728,3.2841,3.8756,4.222,5.0689,5.5681,])
array_2 = np.array([8.91667,8.75,8.08333,9,9.66667,9.83333,12.25,13.6667,17.1667,17.5,19,19.9167,20.3333,20.9167,21.8333,23.5,23.75,27.0833,])
array_1_name = "Solar power generated in Belgium"
array_2_name = "Google searches for 'ice bath'"
# 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. 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
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 Belgium
- Line chart for only Google searches for 'ice bath'
- AI-generated correlation image
- The spurious research paper: Chilled Out: Exploring the Relationship Between Solar Power in Belgium and Google Searches for 'Ice Bath'
Your correlation inspection deserves a standing ovation!
Correlation ID: 2029 · Black Variable ID: 23508 · Red Variable ID: 1408
