Spurious correlation #1,877 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The distance between Uranus and Saturn and the second variable is Biomass power generated in Netherlands. The chart goes from 1980 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 The distance between Uranus and Saturn and the second variable is Biomass power generated in Netherlands. The chart goes from 1980 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As the distance between Uranus and Saturn increased, their gravitational pull created a celestial slingshot effect. This inadvertently flung cosmic plant seeds towards Earth, leading to a sudden proliferation of energy-rich biomass in the Netherlands. It's like nature's way of saying, "Amp up the green energy, folks!"

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image of a whimsical illustration featuring a serene countryside in the Netherlands. In the foreground, a biomass power plant stands tall amid fields of golden wheat. The night sky overhead reveals the soft glow of Uranus and Saturn, positioned to reflect the vastness of our solar system. The scene should exude charm and tranquility, capturing the peaceful coexistence of nature and technology against the cosmic backdrop. 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: The distance between Uranus and Saturn and Biomass power generated in Netherlands. 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: Whimsical illustration Cybernetic art inspired by bauhaus Pop art An image that looks like it is a scene from A Disney Movie
ChatGPT: Whimsical illustration

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 The distance between Uranus and Saturn and Biomass power generated in Netherlands together. Keep the description simple.
ChatGPT: In a peaceful countryside in the Netherlands, a biomass power plant stands tall, surrounded by fields of golden wheat. In the night sky, the distance between Uranus and Saturn is visible, with the two planets glowing softly in the calm darkness, their positions reflecting the vastness of our solar system.

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: [ Whimsical illustration ] and depicting this scene: In a peaceful countryside in the Netherlands, a biomass power plant stands tall, surrounded by fields of golden wheat. In the night sky, the distance between Uranus and Saturn is visible, with the two planets glowing softly in the calm darkness, their positions reflecting the vastness of our solar system. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a whimsical illustration featuring a serene countryside in the Netherlands. In the foreground, a biomass power plant stands tall amid fields of golden wheat. The night sky overhead reveals the soft glow of Uranus and Saturn, positioned to reflect the vastness of our solar system. The scene should exude charm and tranquility, capturing the peaceful coexistence of nature and technology against the cosmic backdrop.

*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 The distance between Uranus and Saturn caused Biomass power generated in Netherlands to increase. Make it feel plausible.

AI academic paper

(Because p < 0.01)

The Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

The Journal of Astrological Engineering and Environmental Science

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 The distance between Uranus and Saturn and Biomass power generated in Netherlands. 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 couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
The Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

[[ABSTRACT]]
In this interdisciplinary study, we explore the surprising and outrageous link between the astronomical distance between Uranus and Saturn and the biomass power generation in the Netherlands. While the notion may sound light years away from rationality, our research findings reveal an unexpected and perhaps cosmic connection between these seemingly unrelated phenomena.

Utilizing data from Astropy and the Energy Information Administration, we conducted a rigorous analysis spanning over four decades from 1980 to 2021. The correlation coefficient of 0.9090246 and p-value of less than 0.01 illuminated the existence of a compelling relationship between the two variables, leaving us stunned and starstruck at the same time. It seems that even the cosmos can't resist a good old dad joke, as this correlation is truly out of this world.

Our findings offer a new perspective on the interconnectivity of natural and industrial processes, pushing the boundaries of what we thought was possible in scientific inquiry. Moreover, it underscores the need for further exploration into the cosmic forces at play in our everyday lives, all while keeping an eye on the pun-etic mysteries of the universe.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The celestial bodies have long fascinated humanity, evoking a sense of wonder and curiosity about the vast expanse of the universe. In this study, we embark on an astronomical journey to explore the unexpected link between the distance separating Uranus and Saturn and the production of biomass power in the Netherlands. It’s a journey that’s truly "out of this world," isn’t it?
As we delve into these cosmic and earthbound phenomena, we are reminded of the timeless quote from Carl Sagan, “Somewhere, something incredible is waiting to be known.” Little did we expect that "something incredible" would involve the seemingly incongruent subjects of planetary distances and renewable energy production. We may need to start calling it "planet-ary energy" from now on!
The Netherlands, renowned for its innovative approach to sustainability, has actively pursued biomass power as a means to reduce its carbon footprint. On the other hand, the planets Uranus and Saturn, though much farther away and unable to join policy discussions on renewable energy, have inadvertently become players in this cosmic charade of cause and effect.
Imagine Galileo peering into his telescope, not only to observe the celestial dance of the planets but also to uncover the celestial ballet of biomass power generation. It’s like he’s saying, "I don't mean to Uranus on anyone's parade, but have you seen the correlation between planet distances and renewable energy?"
Our research seeks to bridge the chasm between these disparate phenomena and to unveil the underlying dynamics at play. With one foot firmly planted in terrestrial energy production and the other reaching for the stars, we merge the abstract and the concrete in a scholarly waltz through the cosmos.
Extraterrestrial puns aside, the implications of this research are indeed profound, hinting at a cosmic ballet where planetary positions choreograph the energy landscape on Earth. Whether through gravitational influences or pure cosmic whimsy, the connection between Uranus and Saturn and biomass power generation in the Netherlands challenges our perception of causality and cosmic happenstance – and gives new meaning to the phrase, "Let's make like a planet and generate some biomass power!"

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The enigmatic relationship between celestial bodies and earthly phenomena has long captivated the scientific community, with scholars tirelessly seeking to unravel the cosmic secrets that may influence our daily lives. Smith et al. (2017) delved into the gravitational interactions between planets and their potential impact on terrestrial systems, laying the groundwork for our exploration of the celestial correlation between Uranus and Saturn and biomass power generation in the Netherlands. But did they ever think to ask, "Are biomass power plants just a way for Earth to reach for the stars?"

Building on this foundational work, Doe and Jones (2019) expanded the scope of inquiry to include the cosmic dance of planetary orbits and its potential imprint on renewable energy dynamics. Little did they know that perhaps the planets are just trying to show off their own renewable energy sources – after all, they don't seem to be running out of energy anytime soon! It’s like the planets are saying, "Uranus has got gas, and Saturn has the rings – where’s your green energy, Earthlings?"

In their seminal work, "Cosmic Connections: Exploring the Mysteries of the Universe" (Brown, 2015), the authors broach the subject of cosmic coincidences and synchronicities that transcend the boundaries of traditional scientific inquiry. After all, who knew that the celestial symphony of Uranus and Saturn could harmonize with the earthly symphony of biomass power production in the Netherlands? It’s almost as if the planets are tuning in to a cosmic radio station called "The Biomass Frequency."

Turning to works of fiction that seem tangentially related, "Stardust" by Neil Gaiman (1998) offers a fantastical perspective on celestial realms and their whimsical interventions in the affairs of mortals. Perhaps the planets are indeed guiding the hand of fate, nudging us to harness the power of biomass in their ethereal honor – a nod to what we might call the "cosmic composting campaign."

In a surprising twist, the internet meme "Uranus is Sideways" illustrates the enduring appeal of celestial humor in popular culture. While Uranus may be notorious for its unconventional orientation, it seems that it's not the only celestial body defying conventions – as the correlation between planet distances and biomass power generation in the Netherlands takes center stage in this cosmic comedy of errors. After all, when it comes to celestial puns, the sky's the limit!

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 The distance between Uranus and Saturn and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from Caclculated using Astropy and Energy Information Administration . You used data from 1980 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 Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

[[ABSTRACT]]
In this interdisciplinary study, we explore the surprising and outrageous link between the astronomical distance between Uranus and Saturn and the biomass power generation in the Netherlands. While the notion may sound light years away from rationality, our research findings reveal an unexpected and perhaps cosmic connection between these seemingly unrelated phenomena.

Utilizing data from Astropy and the Energy Information Administration, we conducted a rigorous analysis spanning over four decades from 1980 to 2021. The correlation coefficient of 0.9090246 and p-value of less than 0.01 illuminated the existence of a compelling relationship between the two variables, leaving us stunned and starstruck at the same time. It seems that even the cosmos can't resist a good old dad joke, as this correlation is truly out of this world.

Our findings offer a new perspective on the interconnectivity of natural and industrial processes, pushing the boundaries of what we thought was possible in scientific inquiry. Moreover, it underscores the need for further exploration into the cosmic forces at play in our everyday lives, all while keeping an eye on the pun-etic mysteries of the universe.

[[INTRODUCTION]]
The celestial bodies have long fascinated humanity, evoking a sense of wonder and curiosity about the vast expanse of the universe. In this study, we embark on an astronomical journey to explore the unexpected link between the distance separating Uranus and Saturn and the production of biomass power in the Netherlands. It’s a journey that’s truly "out of this world," isn’t it?
As we delve into these cosmic and earthbound phenomena, we are reminded of the timeless quote from Carl Sagan, “Somewhere, something incredible is waiting to be known.” Little did we expect that "something incredible" would involve the seemingly incongruent subjects of planetary distances and renewable energy production. We may need to start calling it "planet-ary energy" from now on!
The Netherlands, renowned for its innovative approach to sustainability, has actively pursued biomass power as a means to reduce its carbon footprint. On the other hand, the planets Uranus and Saturn, though much farther away and unable to join policy discussions on renewable energy, have inadvertently become players in this cosmic charade of cause and effect.
Imagine Galileo peering into his telescope, not only to observe the celestial dance of the planets but also to uncover the celestial ballet of biomass power generation. It’s like he’s saying, "I don't mean to Uranus on anyone's parade, but have you seen the correlation between planet distances and renewable energy?"
Our research seeks to bridge the chasm between these disparate phenomena and to unveil the underlying dynamics at play. With one foot firmly planted in terrestrial energy production and the other reaching for the stars, we merge the abstract and the concrete in a scholarly waltz through the cosmos.
Extraterrestrial puns aside, the implications of this research are indeed profound, hinting at a cosmic ballet where planetary positions choreograph the energy landscape on Earth. Whether through gravitational influences or pure cosmic whimsy, the connection between Uranus and Saturn and biomass power generation in the Netherlands challenges our perception of causality and cosmic happenstance – and gives new meaning to the phrase, "Let's make like a planet and generate some biomass power!"

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

To unravel the cosmic ballet between the distance separating Uranus and Saturn and biomass power generation in the Netherlands, we employed a mix of astronomical calculations, statistical analyses, and a sprinkle of cosmic curiosity. Our research team delved into the depths of astrophysical data and energy statistics to shed light on this seemingly extraterrestrial relationship. It's a method as unconventional as finding a supernova in a haystack, but sometimes you have to defy gravity to uncover the truth!

First, we utilized Astropy, a powerful Python library for astronomical calculations, to accurately determine the celestial separation between Uranus and Saturn. The positions of these distant planets were computed with precision, akin to tracing the orbits of cosmic dancers across the interstellar stage. Our calculations were so precise that even Neil Armstrong himself would have been over the moon with our accuracy!

Having obtained the astronomical data, we then turned our gaze toward the terrestrial plane, specifically the biomass power generation in the Netherlands. We sourced detailed information from the Energy Information Administration, delving into historical records dating back to the era of leg warmers and mullets – the truly electric 1980s. If only we could harness the power of nostalgia to generate biomass energy, we'd have a sustainable source for years to come!

With both sets of data in hand, we performed a rigorous statistical analysis, employing the venerable Pearson correlation coefficient to examine the potential relationship between the planetary distance and biomass power generation. It's as if we were trying to quantify the gravitational pull of Uranus and Saturn on the renewable energy landscape, hoping to discover whether cosmic forces were secretly at play. It's an investigation that made us feel as though we were astronomically Sherlock Holmes, seeking clues in the cosmic constellations!

Additionally, we applied various time series analysis techniques to capture the dynamic interplay between planetary movements and biomass power trends over the four-decade period. We wanted to see if there were patterns in the biomass data that would align with the celestial choreography of Uranus and Saturn – after all, who doesn't love a good celestial tango?

Lastly, we employed outlier detection methods to identify any celestial anomalies or aberrations in the data. We were determined to separate the wheat from the cosmic chaff, ensuring that our analysis stayed true to the fundamental principles of statistical robustness. It was a bit like searching for a shooting star in a sky full of meteoroids – challenging but ultimately rewarding!

In the end, our methodological approach combined the precision of orbital mechanics with the statistical rigor of terrestrial data analysis, creating a cosmic recipe that, much like the universe itself, was both awe-inspiring and a little bit unpredictable. After all, when life gives you data anomalies, you don't just make lemonade – you launch a probe to investigate!

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 The distance between Uranus and Saturn and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

For the time period 1980 to 2021, you found a correlation 0.9090246, r-squared of 0.8263257, 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 Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

[[ABSTRACT]]
In this interdisciplinary study, we explore the surprising and outrageous link between the astronomical distance between Uranus and Saturn and the biomass power generation in the Netherlands. While the notion may sound light years away from rationality, our research findings reveal an unexpected and perhaps cosmic connection between these seemingly unrelated phenomena.

Utilizing data from Astropy and the Energy Information Administration, we conducted a rigorous analysis spanning over four decades from 1980 to 2021. The correlation coefficient of 0.9090246 and p-value of less than 0.01 illuminated the existence of a compelling relationship between the two variables, leaving us stunned and starstruck at the same time. It seems that even the cosmos can't resist a good old dad joke, as this correlation is truly out of this world.

Our findings offer a new perspective on the interconnectivity of natural and industrial processes, pushing the boundaries of what we thought was possible in scientific inquiry. Moreover, it underscores the need for further exploration into the cosmic forces at play in our everyday lives, all while keeping an eye on the pun-etic mysteries of the universe.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The celestial bodies have long fascinated humanity, evoking a sense of wonder and curiosity about the vast expanse of the universe. In this study, we embark on an astronomical journey to explore the unexpected link between the distance separating Uranus and Saturn and the production of biomass power in the Netherlands. It’s a journey that’s truly "out of this world," isn’t it?
As we delve into these cosmic and earthbound phenomena, we are reminded of the timeless quote from Carl Sagan, “Somewhere, something incredible is waiting to be known.” Little did we expect that "something incredible" would involve the seemingly incongruent subjects of planetary distances and renewable energy production. We may need to start calling it "planet-ary energy" from now on!
The Netherlands, renowned for its innovative approach to sustainability, has actively pursued biomass power as a means to reduce its carbon footprint. On the other hand, the planets Uranus and Saturn, though much farther away and unable to join policy discussions on renewable energy, have inadvertently become players in this cosmic charade of cause and effect.
Imagine Galileo peering into his telescope, not only to observe the celestial dance of the planets but also to uncover the celestial ballet of biomass power generation. It’s like he’s saying, "I don't mean to Uranus on anyone's parade, but have you seen the correlation between planet distances and renewable energy?"
Our research seeks to bridge the chasm between these disparate phenomena and to unveil the underlying dynamics at play. With one foot firmly planted in terrestrial energy production and the other reaching for the stars, we merge the abstract and the concrete in a scholarly waltz through the cosmos.
Extraterrestrial puns aside, the implications of this research are indeed profound, hinting at a cosmic ballet where planetary positions choreograph the energy landscape on Earth. Whether through gravitational influences or pure cosmic whimsy, the connection between Uranus and Saturn and biomass power generation in the Netherlands challenges our perception of causality and cosmic happenstance – and gives new meaning to the phrase, "Let's make like a planet and generate some biomass power!"

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The results of our analysis revealed a remarkably high correlation between the distance separating Uranus and Saturn and the biomass power generation in the Netherlands. The correlation coefficient of 0.9090246 indicates a strong positive relationship between these two variables, suggesting that as the distance between Uranus and Saturn changes, there is a corresponding impact on biomass power generation in the Netherlands. It’s like the planets are doing a cosmic dance, and the Netherlands is just trying to keep in step. And they say astrology isn’t real science!

The r-squared value of 0.8263257 further reinforces the strength of the relationship, indicating that over 82% of the variation in biomass power generation can be explained by the distance between Uranus and Saturn. It’s as if the celestial bodies are sending a powerful message to the Earth – "We may be far away, but our influence is universal, and definitely not to be underestimated!"

The p-value of less than 0.01 provides strong evidence against the null hypothesis, affirming the statistical significance of the relationship. In other words, this correlation is not just a random celestial alignment – it's a genuine connection that demands our attention and further investigation. Is this the universe’s way of telling us, "Hey, I'm not just space junk – I've got some serious influence here!"

Fig. 1 showcases the scatterplot illustrating the robust correlation between the distance separating Uranus and Saturn and biomass power generation in the Netherlands. The data points create a clear pattern, resembling a constellation of evidence pointing to the cosmic connection we have unveiled. It’s like the planets and biomass power are in perfect harmony, performing their own cosmic symphony that we are only just beginning to tune into. And to think, all this time we’ve been looking up at the sky for answers, when we should have been looking down at our biomass power plants!

In conclusion, our findings provide compelling evidence of a connection between the distance between Uranus and Saturn and biomass power generation in the Netherlands. This discovery challenges traditional scientific boundaries and invites further exploration into the cosmic forces at play in shaping our energy landscape. Who would have thought that the key to unlocking the secrets of renewable energy lay in the celestial movements of our distant planetary neighbors? As the saying goes, “That’s no small step for biomass power, it’s one giant leap for planetary connections!”

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 The distance between Uranus and Saturn and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
The Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

[[ABSTRACT]]
In this interdisciplinary study, we explore the surprising and outrageous link between the astronomical distance between Uranus and Saturn and the biomass power generation in the Netherlands. While the notion may sound light years away from rationality, our research findings reveal an unexpected and perhaps cosmic connection between these seemingly unrelated phenomena.

Utilizing data from Astropy and the Energy Information Administration, we conducted a rigorous analysis spanning over four decades from 1980 to 2021. The correlation coefficient of 0.9090246 and p-value of less than 0.01 illuminated the existence of a compelling relationship between the two variables, leaving us stunned and starstruck at the same time. It seems that even the cosmos can't resist a good old dad joke, as this correlation is truly out of this world.

Our findings offer a new perspective on the interconnectivity of natural and industrial processes, pushing the boundaries of what we thought was possible in scientific inquiry. Moreover, it underscores the need for further exploration into the cosmic forces at play in our everyday lives, all while keeping an eye on the pun-etic mysteries of the universe.

[[LITERATURE REVIEW]]
The enigmatic relationship between celestial bodies and earthly phenomena has long captivated the scientific community, with scholars tirelessly seeking to unravel the cosmic secrets that may influence our daily lives. Smith et al. (2017) delved into the gravitational interactions between planets and their potential impact on terrestrial systems, laying the groundwork for our exploration of the celestial correlation between Uranus and Saturn and biomass power generation in the Netherlands. But did they ever think to ask, "Are biomass power plants just a way for Earth to reach for the stars?"
Building on this foundational work, Doe and Jones (2019) expanded the scope of inquiry to include the cosmic dance of planetary orbits and its potential imprint on renewable energy dynamics. Little did they know that perhaps the planets are just trying to show off their own renewable energy sources – after all, they don't seem to be running out of energy anytime soon! It’s like the planets are saying, "Uranus has got gas, and Saturn has the rings – where’s your green energy, Earthlings?"
In their seminal work, "Cosmic Connections: Exploring the Mysteries of the Universe" (Brown, 2015), the authors broach the subject of cosmic coincidences and synchronicities that transcend the boundaries of traditional scientific inquiry. After all, who knew that the celestial symphony of Uranus and Saturn could harmonize with the earthly symphony of biomass power production in the Netherlands? It’s almost as if the planets are tuning in to a cosmic radio station called "The Biomass Frequency."
Turning to works of fiction that seem tangentially related, "Stardust" by Neil Gaiman (1998) offers a fantastical perspective on celestial realms and their whimsical interventions in the affairs of mortals. Perhaps the planets are indeed guiding the hand of fate, nudging us to harness the power of biomass in their ethereal honor – a nod to what we might call the "cosmic composting campaign."
In a surprising twist, the internet meme "Uranus is Sideways" illustrates the enduring appeal of celestial humor in popular culture. While Uranus may be notorious for its unconventional orientation, it seems that it's not the only celestial body defying conventions – as the correlation between planet distances and biomass power generation in the Netherlands takes center stage in this cosmic comedy of errors. After all, when it comes to celestial puns, the sky's the limit!

[[RESULTS]]
The results of our analysis revealed a remarkably high correlation between the distance separating Uranus and Saturn and the biomass power generation in the Netherlands. The correlation coefficient of 0.9090246 indicates a strong positive relationship between these two variables, suggesting that as the distance between Uranus and Saturn changes, there is a corresponding impact on biomass power generation in the Netherlands. It’s like the planets are doing a cosmic dance, and the Netherlands is just trying to keep in step. And they say astrology isn’t real science!
The r-squared value of 0.8263257 further reinforces the strength of the relationship, indicating that over 82% of the variation in biomass power generation can be explained by the distance between Uranus and Saturn. It’s as if the celestial bodies are sending a powerful message to the Earth – "We may be far away, but our influence is universal, and definitely not to be underestimated!"
The p-value of less than 0.01 provides strong evidence against the null hypothesis, affirming the statistical significance of the relationship. In other words, this correlation is not just a random celestial alignment – it's a genuine connection that demands our attention and further investigation. Is this the universe’s way of telling us, "Hey, I'm not just space junk – I've got some serious influence here!"
Fig. 1 showcases the scatterplot illustrating the robust correlation between the distance separating Uranus and Saturn and biomass power generation in the Netherlands. The data points create a clear pattern, resembling a constellation of evidence pointing to the cosmic connection we have unveiled. It’s like the planets and biomass power are in perfect harmony, performing their own cosmic symphony that we are only just beginning to tune into. And to think, all this time we’ve been looking up at the sky for answers, when we should have been looking down at our biomass power plants!
In conclusion, our findings provide compelling evidence of a connection between the distance between Uranus and Saturn and biomass power generation in the Netherlands. This discovery challenges traditional scientific boundaries and invites further exploration into the cosmic forces at play in shaping our energy landscape. Who would have thought that the key to unlocking the secrets of renewable energy lay in the celestial movements of our distant planetary neighbors? As the saying goes, “That’s no small step for biomass power, it’s one giant leap for planetary connections!”

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

Our study has unearthed an intriguing correlation between the distance separating Uranus and Saturn and biomass power generation in the Netherlands. The robust statistical relationship we have uncovered between these seemingly unrelated phenomena echoes the whispers of cosmic forces influencing our earthly energy dynamics. It seems that the celestial bodies are not just stargazing – they are actively participating in our sustainable energy endeavors. One might say they're the true "solar power" in this cosmic drama.

Our findings align with the previous work of Smith et al. (2017), who first postulated the potential impact of gravitational interactions between planets on terrestrial systems. Just as they predicted, our results support the notion that the celestial dance of Uranus and Saturn indeed has repercussions on biomass power generation. It appears that planetary distances are not just astronomical figures – they are tangible influencers of our energy landscape, bringing a whole new meaning to the phrase "power struggle."

Moreover, the study by Doe and Jones (2019) laid the groundwork for our exploration of the cosmic dance of planetary orbits and its potential imprint on renewable energy dynamics. Little did they know that our findings would resonate with their ideas, further solidifying the concept that the celestial choreography of Uranus and Saturn has a symphonic resonance with biomass power generation in the Netherlands. It's like the planets are whispering, "Can you hear us now? We're conducting the orchestra of your renewable energy initiatives!"

Our results also echo the sentiment expressed in "Stardust" by Neil Gaiman (1998), offering a fantastical perspective on celestial realms and their whimsical interventions in the affairs of mortals. In an unexpected turn of events, our research has validated the whimsical notion that perhaps the celestial bodies are indeed guiding the hand of fate, nudging us to harness the power of biomass in their ethereal honor. Who would have thought that the planets were not just celestial bodies, but celestial cheerleaders for renewable energy?

One cannot overlook the surprising internet meme "Uranus is Sideways," which, despite its lighthearted nature, aligns with our serious findings. It seems that the celestial puns and jokes are not so far-fetched after all, as the cosmic comedy of errors extends to the correlation between planet distances and biomass power generation in the Netherlands. The sky's the limit when it comes to celestial humor – and apparently, also the source of a significant portion of our biomass power.

In a whimsical twist of fate, our research has unveiled a cosmic connection that defies conventional scientific boundaries, igniting a cosmic curiosity about the interplay between celestial movements and Earth's renewable energy resources. It appears that the planets have been sending us signals all along, and it's about time we tuned in to their cosmic frequency for more than just stargazing. After all, who would have thought that the key to unlocking the secrets of renewable energy lay in the celestial movements of our distant planetary neighbors? As the saying goes, "That's no small step for biomass power, it's one giant leap for planetary connections!"

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 The distance between Uranus and Saturn and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
The Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

[[ABSTRACT]]
In this interdisciplinary study, we explore the surprising and outrageous link between the astronomical distance between Uranus and Saturn and the biomass power generation in the Netherlands. While the notion may sound light years away from rationality, our research findings reveal an unexpected and perhaps cosmic connection between these seemingly unrelated phenomena.

Utilizing data from Astropy and the Energy Information Administration, we conducted a rigorous analysis spanning over four decades from 1980 to 2021. The correlation coefficient of 0.9090246 and p-value of less than 0.01 illuminated the existence of a compelling relationship between the two variables, leaving us stunned and starstruck at the same time. It seems that even the cosmos can't resist a good old dad joke, as this correlation is truly out of this world.

Our findings offer a new perspective on the interconnectivity of natural and industrial processes, pushing the boundaries of what we thought was possible in scientific inquiry. Moreover, it underscores the need for further exploration into the cosmic forces at play in our everyday lives, all while keeping an eye on the pun-etic mysteries of the universe.

[[INTRDUCTION]]
The celestial bodies have long fascinated humanity, evoking a sense of wonder and curiosity about the vast expanse of the universe. In this study, we embark on an astronomical journey to explore the unexpected link between the distance separating Uranus and Saturn and the production of biomass power in the Netherlands. It’s a journey that’s truly "out of this world," isn’t it?
As we delve into these cosmic and earthbound phenomena, we are reminded of the timeless quote from Carl Sagan, “Somewhere, something incredible is waiting to be known.” Little did we expect that "something incredible" would involve the seemingly incongruent subjects of planetary distances and renewable energy production. We may need to start calling it "planet-ary energy" from now on!
The Netherlands, renowned for its innovative approach to sustainability, has actively pursued biomass power as a means to reduce its carbon footprint. On the other hand, the planets Uranus and Saturn, though much farther away and unable to join policy discussions on renewable energy, have inadvertently become players in this cosmic charade of cause and effect.
Imagine Galileo peering into his telescope, not only to observe the celestial dance of the planets but also to uncover the celestial ballet of biomass power generation. It’s like he’s saying, "I don't mean to Uranus on anyone's parade, but have you seen the correlation between planet distances and renewable energy?"
Our research seeks to bridge the chasm between these disparate phenomena and to unveil the underlying dynamics at play. With one foot firmly planted in terrestrial energy production and the other reaching for the stars, we merge the abstract and the concrete in a scholarly waltz through the cosmos.
Extraterrestrial puns aside, the implications of this research are indeed profound, hinting at a cosmic ballet where planetary positions choreograph the energy landscape on Earth. Whether through gravitational influences or pure cosmic whimsy, the connection between Uranus and Saturn and biomass power generation in the Netherlands challenges our perception of causality and cosmic happenstance – and gives new meaning to the phrase, "Let's make like a planet and generate some biomass power!"

[[RESULTS]]
The results of our analysis revealed a remarkably high correlation between the distance separating Uranus and Saturn and the biomass power generation in the Netherlands. The correlation coefficient of 0.9090246 indicates a strong positive relationship between these two variables, suggesting that as the distance between Uranus and Saturn changes, there is a corresponding impact on biomass power generation in the Netherlands. It’s like the planets are doing a cosmic dance, and the Netherlands is just trying to keep in step. And they say astrology isn’t real science!
The r-squared value of 0.8263257 further reinforces the strength of the relationship, indicating that over 82% of the variation in biomass power generation can be explained by the distance between Uranus and Saturn. It’s as if the celestial bodies are sending a powerful message to the Earth – "We may be far away, but our influence is universal, and definitely not to be underestimated!"
The p-value of less than 0.01 provides strong evidence against the null hypothesis, affirming the statistical significance of the relationship. In other words, this correlation is not just a random celestial alignment – it's a genuine connection that demands our attention and further investigation. Is this the universe’s way of telling us, "Hey, I'm not just space junk – I've got some serious influence here!"
Fig. 1 showcases the scatterplot illustrating the robust correlation between the distance separating Uranus and Saturn and biomass power generation in the Netherlands. The data points create a clear pattern, resembling a constellation of evidence pointing to the cosmic connection we have unveiled. It’s like the planets and biomass power are in perfect harmony, performing their own cosmic symphony that we are only just beginning to tune into. And to think, all this time we’ve been looking up at the sky for answers, when we should have been looking down at our biomass power plants!
In conclusion, our findings provide compelling evidence of a connection between the distance between Uranus and Saturn and biomass power generation in the Netherlands. This discovery challenges traditional scientific boundaries and invites further exploration into the cosmic forces at play in shaping our energy landscape. Who would have thought that the key to unlocking the secrets of renewable energy lay in the celestial movements of our distant planetary neighbors? As the saying goes, “That’s no small step for biomass power, it’s one giant leap for planetary connections!”

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, the celestial tango between Uranus and Saturn appears to have a cosmic influence on biomass power generation in the Netherlands, yielding some truly out-of-this-world results. It seems that even in the vastness of space, the planets can't resist a good old dad joke, as this correlation truly is astronomical!

Our findings suggest that the influence of these distant planetary neighbors transcends mere gravitational pull, extending its reach to the earthly realm of renewable energy production. It's like the universe is saying, "I'm not just a ball of gas and dust – I also dabble in sustainable energy trends!"

With a correlation coefficient higher than most spaceship velocities, this relationship demands attention and further investigation, leaving us starstruck at the unexpected cosmic ballet unfolding before our eyes. It's as if the planets are saying, "Move over, solar and wind energy – it's time for a celestial spotlight on biomass power!"

Thus, we assert that no more research is needed in this area. After all, when it comes to the cosmic dance of planetary distances and biomass power, we've truly reached for the stars – and landed among the biomass power plants. Now that's a stellar achievement!

And as for additional research, let's leave that to the aliens. They must be eager to uncover the next cosmic punchline!

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 Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Astrological Engineering and Environmental Science

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 Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Interplanetary Energy Dynamics and Sustainability 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 Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands with an abstract of In this interdisciplinary study, we explore the surprising and outrageous link between the astronomical distance between Uranus and Saturn and the biomass power generation in the Netherlands. While the notion may sound light years away from rationality, our research findings reveal an unexpected and perhaps cosmic connection between these seemingly unrelated phenomena.
Utilizing data from Astropy and the Energy Information Administration, we conducted a rigorous analysis spanning over four decades from 1980 to 2021. The correlation coefficient of 0.9090246 and p-value of less than 0.01 illuminated the existence of a compelling relationship between the two variables, leaving us stunned and starstruck at the same time. It seems that even the cosmos can't resist a good old dad joke, as this correlation is truly out of this world.
Our findings offer a new perspective on the interconnectivity of natural and industrial processes, pushing the boundaries of what we thought was possible in scientific inquiry. Moreover, it underscores the need for further exploration into the cosmic forces at play in our everyday lives, all while keeping an eye on the pun-etic mysteries of the universe.

ChatGPT:

Uranus, Saturn, celestial correlation, biomass power generation, Netherlands, Astropy, Energy Information Administration, correlation coefficient, p-value, natural processes, industrial processes, scientific inquiry, cosmic forces, universe mysteries

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

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Data details

The distance between Uranus and Saturn
Detailed data title: The average distance between Uranus and Saturn as measured on the first day of each month
Source: Caclculated using Astropy
Additional Info: ^{See full details} I wrote a Python script using Astropy to calculate the distance between the named planets on the first day of each month for every year.

See what else correlates with The distance between Uranus and Saturn

Biomass power generated in Netherlands
Detailed data title: Total biomass power generated in Netherlands in billion kWh
Source: Energy Information Administration
See what else correlates with Biomass power generated in Netherlands

Correlation r = 0.9090246 (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 = 0.8263257 (Coefficient of determination)
This means 82.6% of the change in the one variable (i.e., Biomass power generated in Netherlands) is predictable based on the change in the other (i.e., The distance between Uranus and Saturn) over the 42 years from 1980 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 8.6E-17.^Show 0.0000000000000000855423415560
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 0.91 in 8.6E-15% of random cases. Said differently, if you correlated 11,690,117,219,264,490 random variables^Note You don't actually need 11 quadrillion 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 41 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 41 because we have two variables measured over a period of 42 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.

[ 0.84, 0.95 ] 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.

	1980	1981	1982	1983	1984	1985	1986	1987	1988	1989	1990	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000	2001	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021
The distance between Uranus and Saturn (Planetary distance (AU))	15.7689	14.5282	13.336	12.2208	11.2163	10.3697	9.72886	9.34309	9.25106	9.46773	9.97784	10.744	11.721	12.8579	14.1138	15.4539	16.8508	18.2714	19.6922	21.0895	22.4424	23.7228	24.9111	25.9888	26.942	27.7542	28.4186	28.9315	29.2926	29.503	29.5677	29.4929	29.2849	28.9515	28.4998	27.9362	27.2649	26.4942	25.6278	24.6697	23.6217	22.4927
Biomass power generated in Netherlands (Billion kWh)	1	1	0.3	0.2	0.02	0.4	0.5	0.7	0.8	0.9	1.058	1.18	1.149	1.335	1.464	1.599	2.156	2.463	2.679	2.966	3.203	3.553	4.134	3.906	4.635	6.683	6.595	5.513	6.596	7.623	8.606	8.793	8.959	7.653	6.64	6.568	6.613	6.287	6.576	7.661	8.4	8.17715

Why this works

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

Try it yourself

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

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

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

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

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

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

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

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

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

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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([15.7689,14.5282,13.336,12.2208,11.2163,10.3697,9.72886,9.34309,9.25106,9.46773,9.97784,10.744,11.721,12.8579,14.1138,15.4539,16.8508,18.2714,19.6922,21.0895,22.4424,23.7228,24.9111,25.9888,26.942,27.7542,28.4186,28.9315,29.2926,29.503,29.5677,29.4929,29.2849,28.9515,28.4998,27.9362,27.2649,26.4942,25.6278,24.6697,23.6217,22.4927,])
array_2 = np.array([1,1,0.3,0.2,0.02,0.4,0.5,0.7,0.8,0.9,1.058,1.18,1.149,1.335,1.464,1.599,2.156,2.463,2.679,2.966,3.203,3.553,4.134,3.906,4.635,6.683,6.595,5.513,6.596,7.623,8.606,8.793,8.959,7.653,6.64,6.568,6.613,6.287,6.576,7.661,8.4,8.17715,])
array_1_name = "The distance between Uranus and Saturn"
array_2_name = "Biomass power generated in Netherlands"

# 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 The distance between Uranus and Saturn
Line chart for only Biomass power generated in Netherlands
AI-generated correlation image
The spurious research paper: The Celestial Correlation: Connecting the Distance between Uranus and Saturn to Biomass Power Generation in the Netherlands

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Correlation ID: 1877 · Black Variable ID: 1966 · Red Variable ID: 23848


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