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Spurious correlation #2,480 · 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 Neptune and Uranus and the second variable is Biomass power generated in El Salvador.  The chart goes from 1980 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The gravitational pull created a stronger renewable energy field around the planet, leading to greater efficiency in biomass power generation on Earth. This also coincided with a spike in cosmic plant growth, contributing to the overall increase in biomass power in El Salvador.

Model: dalle-3
Prompt: Generate an image that looks like it is a scene from 'Star Wars' where in the vast space between Neptune and Uranus, an array of cosmic energy waves glowed brightly, forming an ethereal connection between the two distant planets. Back on Earth, in El Salvador, lush fields of vibrant green plants flourished under the intensified cosmic energy, their energy being harnessed to power biomass generators. The gravitational pull from the distant planets had created a stronger renewable energy field around Earth, leading to a significant increase in efficiency in biomass power generation. 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 Neptune and Uranus and Biomass power generated in El Salvador. 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: Photorealism An image that looks like it is a scene from 'Star Wars' inspired by bauhaus An image that looks like it is a scene from 'Star Wars' a funny image macro
ChatGPT: An image that looks like it is a scene from 'Star Wars'

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 Neptune and Uranus and Biomass power generated in El Salvador, in the following situation: The gravitational pull created a stronger renewable energy field around the planet, leading to greater efficiency in biomass power generation on Earth. This also coincided with a spike in cosmic plant growth, contributing to the overall increase in biomass power in El Salvador.. Keep the description simple.
ChatGPT: In the vast space between Neptune and Uranus, an array of cosmic energy waves glowed brightly, forming an ethereal connection between the two distant planets. Back on Earth, in El Salvador, lush fields of vibrant green plants flourished under the intensified cosmic energy, their energy being harnessed to power biomass generators. The gravitational pull from the distant planets had created a stronger renewable energy field around Earth, leading to a significant increase in efficiency in biomass power generation.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ An image that looks like it is a scene from 'Star Wars' ] and depicting this scene: In the vast space between Neptune and Uranus, an array of cosmic energy waves glowed brightly, forming an ethereal connection between the two distant planets. Back on Earth, in El Salvador, lush fields of vibrant green plants flourished under the intensified cosmic energy, their energy being harnessed to power biomass generators. The gravitational pull from the distant planets had created a stronger renewable energy field around Earth, leading to a significant increase in efficiency in biomass power generation. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image that looks like it is a scene from 'Star Wars' where in the vast space between Neptune and Uranus, an array of cosmic energy waves glowed brightly, forming an ethereal connection between the two distant planets. Back on Earth, in El Salvador, lush fields of vibrant green plants flourished under the intensified cosmic energy, their energy being harnessed to power biomass generators. The gravitational pull from the distant planets had created a stronger renewable energy field around Earth, leading to a significant increase in efficiency in biomass power generation.

*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.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humerus responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in The distance between Neptune and Uranus caused Biomass power generated in El Salvador to increase.

AI academic paper

(Because p < 0.01)
From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador

The Journal of Celestial Energy and Environmental Science

Jan 2024

Reminder: This paper is AI-generated. Not real!
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 silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title punny if you can come up with clever pun. If not, make it sound serious.

Your research team used data from Caclculated using Astropy and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.9375071 and p < 0.01 for 1980 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]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Here is the title and abstract of the paper:
[[TITLE]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the clockwork of the cosmos continues its mysterious dance, so too do the wheels of scientific inquiry turn, often taking us to unexpected and celestial places. Never before has this been more evident than in our recent investigation into the interstellar link to power generation here on Earth. Who would have thought that the distance between Neptune and Uranus, two planets residing in the far reaches of our solar system, could have any bearing on the biomass power output in El Salvador? It's enough to make you ponder, "Are we truly stardust, or just reaching for the stars?"

With furrowed brows and telescopic precision, we set out to unravel this cosmic conundrum, delving into data spanning decades in pursuit of understanding this celestial mystery. To merge the celestial with the terrestrial is no mean feat, but as they say, "No planet is too far to study if you're over the moon about science!" And so, armed with our trusty laptops and an astronomical amount of coffee, we endeavored to shed light on the cosmic forces that may shape our energy landscape.

As we uncover the startling correlation between the celestial motions of Neptune and Uranus and the generation of biomass power in El Salvador, we invite you to join us on this journey from the outer reaches of our solar system to the lively energy hubs of Central America. It's a tale that will have you exclaiming, "That's one small step for celestial distances, one giant leap for biomass power kind!"


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. 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 cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the clockwork of the cosmos continues its mysterious dance, so too do the wheels of scientific inquiry turn, often taking us to unexpected and celestial places. Never before has this been more evident than in our recent investigation into the interstellar link to power generation here on Earth. Who would have thought that the distance between Neptune and Uranus, two planets residing in the far reaches of our solar system, could have any bearing on the biomass power output in El Salvador? It's enough to make you ponder, "Are we truly stardust, or just reaching for the stars?"
With furrowed brows and telescopic precision, we set out to unravel this cosmic conundrum, delving into data spanning decades in pursuit of understanding this celestial mystery. To merge the celestial with the terrestrial is no mean feat, but as they say, "No planet is too far to study if you're over the moon about science!" And so, armed with our trusty laptops and an astronomical amount of coffee, we endeavored to shed light on the cosmic forces that may shape our energy landscape.
As we uncover the startling correlation between the celestial motions of Neptune and Uranus and the generation of biomass power in El Salvador, we invite you to join us on this journey from the outer reaches of our solar system to the lively energy hubs of Central America. It's a tale that will have you exclaiming, "That's one small step for celestial distances, one giant leap for biomass power kind!"

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The connection between celestial phenomena and earthly manifestations has long been a topic of fascination and speculation in scientific circles. Smith et al. (2010) discussed the potential influence of planetary alignment on Earth's energy resources, laying the groundwork for our investigation. As we delve into the literature, it becomes apparent that the cosmic ballet of the solar system may hold sway over unexpected domains, much like a gravitational force pulling us towards unconventional discoveries.

Doe and Jones (2015) explored the environmental impact of planetary positions, albeit with a focus on climate patterns. Their work introduces the notion that the celestial dances of distant planets could echo in terrestrial realms, much like a cosmic symphony conducting the elements.

In "The Universe and You: A Cosmic Connection," the authors delve into the interconnectedness of celestial bodies and earthly affairs. This thought-provoking read highlights the profound ways in which our celestial neighbors may influence our daily lives. It's as if the universe is constantly whispering cosmic secrets in our ears, like a punchline from a star-studded stand-up comedy routine!

Drawing from the depths of astronomical wisdom, "Astrology for Modern Minds" brings forth the idea that planetary alignments may hold clues to worldly phenomena. While astrology typically focuses on individual horoscopes, this book ventures into the grand tapestry of celestial influence on a larger scale. It's almost like seeing constellations align to form puns in the night sky!

On a more imaginative note, "Cosmic Chronicles: Tales from the Celestial Realm" weaves speculative fiction into the fabric of celestial interactions. Although fictional, these narratives spark wonder and reflection on the mysterious ties that bind celestial bodies and terrestrial events. It's the kind of whimsical storytelling that makes you wonder if the stars are winking at our fascination with the cosmic unknown.

In the realm of social media, a tweet by @StellarInquirer poses an intriguing question: "Could Neptune and Uranus be the cosmic hand guiding Earth's energy dance? πŸŒŒπŸ’« #CelestialInfluence #EcoAstrology". While unconventional, such musings from the Twitterverse cannot be dismissed outright, as they invite us to ponder the cosmic connections that may lie beneath the surface of everyday phenomena. It's as if the internet is the modern-day town square where cosmic curiosities are discussed with a side of memes and cosmic cat videos!

We, the authors, are acutely aware of the unexpected turns and celestial humor that await us as we navigate this cosmic landscape in pursuit of understanding the interstellar link to power production in El Salvador. As we don our figurative astronaut helmets and plunge into the stellar abyss, we are reminded that the universe may have a penchant for surprising us, much like a cosmic comedian dropping puns from the great beyond.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. 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]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

[[INTRODUCTION]]
As the clockwork of the cosmos continues its mysterious dance, so too do the wheels of scientific inquiry turn, often taking us to unexpected and celestial places. Never before has this been more evident than in our recent investigation into the interstellar link to power generation here on Earth. Who would have thought that the distance between Neptune and Uranus, two planets residing in the far reaches of our solar system, could have any bearing on the biomass power output in El Salvador? It's enough to make you ponder, "Are we truly stardust, or just reaching for the stars?"
With furrowed brows and telescopic precision, we set out to unravel this cosmic conundrum, delving into data spanning decades in pursuit of understanding this celestial mystery. To merge the celestial with the terrestrial is no mean feat, but as they say, "No planet is too far to study if you're over the moon about science!" And so, armed with our trusty laptops and an astronomical amount of coffee, we endeavored to shed light on the cosmic forces that may shape our energy landscape.
As we uncover the startling correlation between the celestial motions of Neptune and Uranus and the generation of biomass power in El Salvador, we invite you to join us on this journey from the outer reaches of our solar system to the lively energy hubs of Central America. It's a tale that will have you exclaiming, "That's one small step for celestial distances, one giant leap for biomass power kind!"

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To conduct this cosmic and bio-energetic investigation, we employed a multifaceted approach that was as diverse as the planets in our solar system - and just as wondrous. First, we meticulously gathered data on the celestial distances between Neptune and Uranus, which, as you may know, are quite the astronomical duo, adding a whole new meaning to "You're out of this world!"

We obtained this data from the acclaimed Astropy library, which allowed us to calculate the distance between these celestial neighbors with the precision of a cosmic dance instructor. For those unfamiliar with Astropy, consider it the stellar GPS navigation system for astronomers navigating the celestial highways - or "highways," as the pun-identially inclined may call them.

On the terrestrial side of our investigation, we delved into the world of biomass power generation in El Salvador. "El Salvador's bio-power journey? Sounds like a-maize-ing!" We extracted relevant data from the Energy Information Administration, well aware that the power of good data can be truly electric, or in this case, bio-electric.

Having assembled these disparate pieces - or celestial puzzles, if you will - of celestial and bio-power data, we proceeded to perform a statistical analysis that would make even the most stoic of scientists raise an eyebrow. We calculated the correlation coefficient between the celestial distances and biomass power generation, employing a method more precise than the paths of comets, with p-values that spoke volumes, or at least, enough to fill an astrophysics textbook.

In addition, we ran robust regression analyses to ensure that our findings weren't just cosmic coincidences. Picture it as adjusting the telescope's focus to make sure we weren't mistaking stars for far-off fireflies. And just like that, our stellar statistical maneuvers brought the cosmic and earthly realms into fascinating alignment.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. 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 0.9375071, r-squared of 0.8789195, 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]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the clockwork of the cosmos continues its mysterious dance, so too do the wheels of scientific inquiry turn, often taking us to unexpected and celestial places. Never before has this been more evident than in our recent investigation into the interstellar link to power generation here on Earth. Who would have thought that the distance between Neptune and Uranus, two planets residing in the far reaches of our solar system, could have any bearing on the biomass power output in El Salvador? It's enough to make you ponder, "Are we truly stardust, or just reaching for the stars?"
With furrowed brows and telescopic precision, we set out to unravel this cosmic conundrum, delving into data spanning decades in pursuit of understanding this celestial mystery. To merge the celestial with the terrestrial is no mean feat, but as they say, "No planet is too far to study if you're over the moon about science!" And so, armed with our trusty laptops and an astronomical amount of coffee, we endeavored to shed light on the cosmic forces that may shape our energy landscape.
As we uncover the startling correlation between the celestial motions of Neptune and Uranus and the generation of biomass power in El Salvador, we invite you to join us on this journey from the outer reaches of our solar system to the lively energy hubs of Central America. It's a tale that will have you exclaiming, "That's one small step for celestial distances, one giant leap for biomass power kind!"

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our investigation revealed a remarkably strong correlation between the distance separating Neptune and Uranus and the amount of biomass power generated in El Salvador over the period from 1980 to 2021. The correlation coefficient of 0.9375071 indicates a robust relationship between these seemingly unrelated phenomena. It's as if the planets have aligned to shed light on this enigmatic connection. One could say that it's truly a case of "celestial bodies working in mysterious ways!"

The calculated r-squared value of 0.8789195 further underscores the significance of this correlation, suggesting that approximately 87.89% of the variability in biomass power generation in El Salvador can be explained by the distance between Neptune and Uranus. Perhaps these distant planets are exerting a gravitational pull on energy production, demonstrating that when it comes to power generation, "the sky's the limit!"

Furthermore, the p-value of less than 0.01 provides compelling evidence that this correlation is not due to mere chance. It seems that the forces at play in the cosmos may have a tangible impact on the availability and production of biomass power on Earth. As the saying goes, "When it comes to celestial distances and biomass power, the proof is in the p-value!"

Fig. 1 depicts the scatterplot showcasing the striking correlation between the distance between Neptune and Uranus and the biomass power generated in El Salvador. It's a visual representation of how the cosmic dance may indeed influence the energy production dance here on Earth. One could say that it's a testament to the notion that "the universe has a way of showing us what really matters."


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. 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]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

[[LITERATURE REVIEW]]
The connection between celestial phenomena and earthly manifestations has long been a topic of fascination and speculation in scientific circles. Smith et al. (2010) discussed the potential influence of planetary alignment on Earth's energy resources, laying the groundwork for our investigation. As we delve into the literature, it becomes apparent that the cosmic ballet of the solar system may hold sway over unexpected domains, much like a gravitational force pulling us towards unconventional discoveries.
Doe and Jones (2015) explored the environmental impact of planetary positions, albeit with a focus on climate patterns. Their work introduces the notion that the celestial dances of distant planets could echo in terrestrial realms, much like a cosmic symphony conducting the elements.
In "The Universe and You: A Cosmic Connection," the authors delve into the interconnectedness of celestial bodies and earthly affairs. This thought-provoking read highlights the profound ways in which our celestial neighbors may influence our daily lives. It's as if the universe is constantly whispering cosmic secrets in our ears, like a punchline from a star-studded stand-up comedy routine!
Drawing from the depths of astronomical wisdom, "Astrology for Modern Minds" brings forth the idea that planetary alignments may hold clues to worldly phenomena. While astrology typically focuses on individual horoscopes, this book ventures into the grand tapestry of celestial influence on a larger scale. It's almost like seeing constellations align to form puns in the night sky!
On a more imaginative note, "Cosmic Chronicles: Tales from the Celestial Realm" weaves speculative fiction into the fabric of celestial interactions. Although fictional, these narratives spark wonder and reflection on the mysterious ties that bind celestial bodies and terrestrial events. It's the kind of whimsical storytelling that makes you wonder if the stars are winking at our fascination with the cosmic unknown.
In the realm of social media, a tweet by @StellarInquirer poses an intriguing question: "Could Neptune and Uranus be the cosmic hand guiding Earth's energy dance? πŸŒŒπŸ’« #CelestialInfluence #EcoAstrology". While unconventional, such musings from the Twitterverse cannot be dismissed outright, as they invite us to ponder the cosmic connections that may lie beneath the surface of everyday phenomena. It's as if the internet is the modern-day town square where cosmic curiosities are discussed with a side of memes and cosmic cat videos!
We, the authors, are acutely aware of the unexpected turns and celestial humor that await us as we navigate this cosmic landscape in pursuit of understanding the interstellar link to power production in El Salvador. As we don our figurative astronaut helmets and plunge into the stellar abyss, we are reminded that the universe may have a penchant for surprising us, much like a cosmic comedian dropping puns from the great beyond.

[[RESULTS]]
Our investigation revealed a remarkably strong correlation between the distance separating Neptune and Uranus and the amount of biomass power generated in El Salvador over the period from 1980 to 2021. The correlation coefficient of 0.9375071 indicates a robust relationship between these seemingly unrelated phenomena. It's as if the planets have aligned to shed light on this enigmatic connection. One could say that it's truly a case of "celestial bodies working in mysterious ways!"
The calculated r-squared value of 0.8789195 further underscores the significance of this correlation, suggesting that approximately 87.89% of the variability in biomass power generation in El Salvador can be explained by the distance between Neptune and Uranus. Perhaps these distant planets are exerting a gravitational pull on energy production, demonstrating that when it comes to power generation, "the sky's the limit!"
Furthermore, the p-value of less than 0.01 provides compelling evidence that this correlation is not due to mere chance. It seems that the forces at play in the cosmos may have a tangible impact on the availability and production of biomass power on Earth. As the saying goes, "When it comes to celestial distances and biomass power, the proof is in the p-value!"
Fig. 1 depicts the scatterplot showcasing the striking correlation between the distance between Neptune and Uranus and the biomass power generated in El Salvador. It's a visual representation of how the cosmic dance may indeed influence the energy production dance here on Earth. One could say that it's a testament to the notion that "the universe has a way of showing us what really matters."

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our findings provide compelling evidence supporting the notion that the relationship between the distance separating Neptune and Uranus and the biomass power generated in El Salvador is not just a cosmic joke, but a tangible reality. It's almost as if the celestial bodies are in on the punchline, orchestrating a celestial symphony that resonates through the energy landscape of our planet. As we reflect on our results, we cannot help but wonder if the cosmic ballet of Neptune and Uranus is choreographing an unseen dance of energy production on Earth. One might even say that it's a case of "astrological power plays!"

Our study's robust correlation coefficient of 0.9375071 aligns with the speculative musings of previous researchers who have delved into the cosmic nuances of planetary influence on earthly affairs. The strength of this correlation suggests that the celestial positions of Neptune and Uranus may indeed hold sway over the biomass power generation in El Salvador, as if the planets are saying, "We're not just here for the astronomical puns!"

The r-squared value of 0.8789195 indicates that the distance between Neptune and Uranus can explain approximately 87.89% of the variability in biomass power generation in El Salvador. This statistical insight lends weight to the idea that the cosmic forces at play might be giving a celestial nudge to the earthly mechanisms of energy production. It's as if the planets are nudging us to recognize that "there's more to this than meets the (telescope lens)!"

Moreover, the p-value of less than 0.01 firmly rejects the notion that this correlation could be mere coincidence. It's almost as if the cosmic forces are tapping us on the shoulder, reminding us that the universe has a penchant for weaving unexpected connections between celestial motion and terrestrial outcomes. One might say that it's a demonstration of "cosmically significant" evidence, as if the stars themselves are aligning to highlight this celestial connection.

In essence, our research not only substantiates the speculative whispers of a cosmic link between distant planets and earthly energy production but also opens the door to further investigations into the interstellar forces shaping our world. The cosmos might just have a hand in guiding the energy dance on Earth, much like a celestial DJ laying down the stellar beats. It seems we are just scratching the surface of the cosmic comedy, where the punchlines are written in the stars!


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 The distance between Neptune and Uranus and Biomass power generated in El Salvador. 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]]
"From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador"

[[ABSTRACT]]
In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!

Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

[[INTRDUCTION]]
As the clockwork of the cosmos continues its mysterious dance, so too do the wheels of scientific inquiry turn, often taking us to unexpected and celestial places. Never before has this been more evident than in our recent investigation into the interstellar link to power generation here on Earth. Who would have thought that the distance between Neptune and Uranus, two planets residing in the far reaches of our solar system, could have any bearing on the biomass power output in El Salvador? It's enough to make you ponder, "Are we truly stardust, or just reaching for the stars?"
With furrowed brows and telescopic precision, we set out to unravel this cosmic conundrum, delving into data spanning decades in pursuit of understanding this celestial mystery. To merge the celestial with the terrestrial is no mean feat, but as they say, "No planet is too far to study if you're over the moon about science!" And so, armed with our trusty laptops and an astronomical amount of coffee, we endeavored to shed light on the cosmic forces that may shape our energy landscape.
As we uncover the startling correlation between the celestial motions of Neptune and Uranus and the generation of biomass power in El Salvador, we invite you to join us on this journey from the outer reaches of our solar system to the lively energy hubs of Central America. It's a tale that will have you exclaiming, "That's one small step for celestial distances, one giant leap for biomass power kind!"

[[RESULTS]]
Our investigation revealed a remarkably strong correlation between the distance separating Neptune and Uranus and the amount of biomass power generated in El Salvador over the period from 1980 to 2021. The correlation coefficient of 0.9375071 indicates a robust relationship between these seemingly unrelated phenomena. It's as if the planets have aligned to shed light on this enigmatic connection. One could say that it's truly a case of "celestial bodies working in mysterious ways!"
The calculated r-squared value of 0.8789195 further underscores the significance of this correlation, suggesting that approximately 87.89% of the variability in biomass power generation in El Salvador can be explained by the distance between Neptune and Uranus. Perhaps these distant planets are exerting a gravitational pull on energy production, demonstrating that when it comes to power generation, "the sky's the limit!"
Furthermore, the p-value of less than 0.01 provides compelling evidence that this correlation is not due to mere chance. It seems that the forces at play in the cosmos may have a tangible impact on the availability and production of biomass power on Earth. As the saying goes, "When it comes to celestial distances and biomass power, the proof is in the p-value!"
Fig. 1 depicts the scatterplot showcasing the striking correlation between the distance between Neptune and Uranus and the biomass power generated in El Salvador. It's a visual representation of how the cosmic dance may indeed influence the energy production dance here on Earth. One could say that it's a testament to the notion that "the universe has a way of showing us what really matters."

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unearthed a stellar connection between the celestial dance of Neptune and Uranus and the down-to-earth generation of biomass power in El Salvador. The astronomical correlation coefficient of 0.9375071 speaks volumes, proving that there's more to the universe than meets the "El Salvadorian energy demand!" It's as if the planets are saying, "Let's orbit and make some biomass power happen!"

The robust r-squared value of 0.8789195 further strengthens our findings, revealing that almost 88% of biomass power variability in El Salvador can be attributed to the cosmic choreography of Neptune and Uranus. It's enough to make you exclaim, "Talk about an out of this world influence on energy!"

Our results also highlighted a compelling p-value of less than 0.01, indicating that the likelihood of this cosmic connection occurring by mere chance is as rare as finding a shooting star on a cloudy night. It's proof that when it comes to celestial distances and biomass power, "it's not just a stardust in the wind!"

Therefore, we assert that there is no need for further research in this area, as our findings have boldly gone where no study has gone before, shedding light on the cosmic influences that may shape earthly energy production. After all, when it comes to celestial distances and biomass power, we've really "planet" all out.


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 From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Celestial Energy 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 From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador. Respond only with the name of a fictional organization.

ChatGPT:

The International Association for Celestial Energy Research (IACER)


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 From Neptune to Bio-mass: Exploring the Celestial Link to Power Production in El Salvador with an abstract of In this study, we investigate the intriguing and seemingly unrelated connection between the distance between Neptune and Uranus and the biomass power generated in El Salvador. Using data from Astropy for celestial distances and from the Energy Information Administration for biomass power generation, we conducted a comprehensive analysis covering the period from 1980 to 2021. Surprisingly, we found a strong correlation coefficient of 0.9375071 and a significant p-value of less than 0.01, implying a robust association between these seemingly disparate phenomena. It's enough to make you wonder if the power of the cosmos is truly at play in earthly power generation!
Our findings provide persuasive evidence that the celestial positions of distant planets could play a role in shaping the energy landscape here on Earth. While the link between planetary distances and biomass power production may seem far-fetched, our research suggests that there might be an underlying astronomical force at work. As the saying goes, "If Neptune and Uranus align, El Salvador's biomass power will shine!" This study opens the door to further investigations into the cosmic influences on earthly energy production, and it may inspire a new wave of astro-power enthusiasts.

ChatGPT:

Neptune, Uranus, celestial distances, biomass power, El Salvador, energy production, Astropy, Energy Information Administration, correlation coefficient, astronomical forces, planetary alignment

*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 Neptune and Uranus
Detailed data title: The average distance between Neptune and Uranus as measured on the first day of each month
Source: Caclculated using Astropy
Additional Info: 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 Neptune and Uranus

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

Correlation r = 0.9375071 (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 = 0.8789195 (Coefficient of determination)
This means 87.9% of the change in the one variable (i.e., Biomass power generated in El Salvador) is predictable based on the change in the other (i.e., The distance between Neptune and Uranus) over the 42 years from 1980 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 6.1E-20. 0.0000000000000000000611349258
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 0.94 in 6.1E-18% of random cases. Said differently, if you correlated 16,357,262,021,899,761,664 random variables You don't actually need 16 quintillion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 41 degrees of freedom, 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.

[ 0.89, 0.97 ] 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.
198019811982198319841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
The distance between Neptune and Uranus (Planetary distance (AU))16.122615.443614.793314.17513.591113.047812.548512.096911.696411.352611.068510.846810.689610.598410.572910.611810.712910.872411.086211.349911.659612.009212.394712.811913.257913.727514.21814.72715.253215.792516.343816.90617.479118.059718.647619.242319.844320.450721.061621.676822.297322.9204
Biomass power generated in El Salvador (Billion kWh)0.0060.0260.020.0260.0240.0240.0260.0170.0210.0230.0210.0160.0290.0150.0050.0060.0190.0210.0230.0230.020.0190.0220.0410.0610.0890.1430.1450.1740.2320.2830.3030.4090.430.4380.5630.6350.7110.740.8290.8150.821495




Why this works

  1. 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 β€œdata 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.
  2. 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.
  3. 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.
  4. Confounding variable: 2020 is particularly different from the other years on this graph. Confounding variables (like global pandemics) will cause two variables to look connected when in fact a "sneaky third" variable is influencing both of them behind the scenes.
  5. 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. 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.
  6. Outlandish outliers: There are "outliers" in this data. In concept, "outlier" just means "way different than the rest of your dataset." When calculating a correlation like this, they are particularly impactful because a single outlier can substantially increase your correlation.

    For the purposes of this project, I counted a point as an outlier if it the residual was two standard deviations from the mean.

    (This bullet point only shows up in the details page on charts that do, in fact, have outliers.)
    They stand out on the scatterplot above: notice the dots that are far away from any other dots. I intentionally mishandeled outliers, which makes the correlation look extra strong.




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([16.1226,15.4436,14.7933,14.175,13.5911,13.0478,12.5485,12.0969,11.6964,11.3526,11.0685,10.8468,10.6896,10.5984,10.5729,10.6118,10.7129,10.8724,11.0862,11.3499,11.6596,12.0092,12.3947,12.8119,13.2579,13.7275,14.218,14.727,15.2532,15.7925,16.3438,16.906,17.4791,18.0597,18.6476,19.2423,19.8443,20.4507,21.0616,21.6768,22.2973,22.9204,])
array_2 = np.array([0.006,0.026,0.02,0.026,0.024,0.024,0.026,0.017,0.021,0.023,0.021,0.016,0.029,0.015,0.005,0.006,0.019,0.021,0.023,0.023,0.02,0.019,0.022,0.041,0.061,0.089,0.143,0.145,0.174,0.232,0.283,0.303,0.409,0.43,0.438,0.563,0.635,0.711,0.74,0.829,0.815,0.821495,])
array_1_name = "The distance between Neptune and Uranus"
array_2_name = "Biomass power generated in El Salvador"

# 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)



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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.

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Correlation ID: 2480 · Black Variable ID: 1967 · Red Variable ID: 23648
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