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Spurious correlation #3,224 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Renewable energy production in Benin and the second variable is Google searches for 'smol'.  The chart goes from 2004 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the turbines spun faster than a cat chasing a laser pointer, they generated an electric current of cuteness that couldn't be contained. This led to a surge in smolness as the nation powered up its renewable energy efforts, proving that when it comes to adorableness, Benin has the spark to make things smol-taneously delightful.

Model: dalle-3
Prompt: Prompt: Create an image that combines the cyberpunk style with a tranquil landscape in Benin. The scene features an array of small, futuristic wind turbines and miniature solar panels integrated into the rural environment. Internet users, depicted as silhouettes or abstract figures, are visibly enthralled by the charming sight, capturing the blend of advanced technology with the serene, picturesque setting. The scene should evoke a sense of wonder and captivation, depicting the fusion of renewable energy and the endearing 'smol' elements amidst a cyberpunk aesthetic. 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: Renewable energy production in Benin and Google searches for 'smol'. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: a meme a meme Cybernetic art 3D Pixar Style Cyberpunk
ChatGPT: Cyberpunk

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 Renewable energy production in Benin and Google searches for 'smol', in the following situation: Because the renewable energy in Benin is just so smol and adorable, it's attracting all the attention! People are searching 'smol' because they can't help but marvel at the teeny-tiny wind turbines and itty-bitty solar panels. It's like a tiny revolution of cuteness, so of course everyone wants to know more about it! The more renewable energy, the more smolness to obsess over. It's a scientifically proven fact that cuteness powers the internet, and Benin's renewable energy is leading the charge in adorableness!. Keep the description simple.
ChatGPT: In Benin, a landscape is dotted with small wind turbines and tiny solar panels, creating a charming and quaint scene. Amongst this picturesque view, internet users are captivated by the adorable sight, leading to an increase in Google searches for 'smol'. The combination of renewable energy production and the endearing smolness has created a delightful online buzz.

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: [ Cyberpunk ] and depicting this scene: In Benin, a landscape is dotted with small wind turbines and tiny solar panels, creating a charming and quaint scene. Amongst this picturesque view, internet users are captivated by the adorable sight, leading to an increase in Google searches for 'smol'. The combination of renewable energy production and the endearing smolness has created a delightful online buzz. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Create an image that combines the cyberpunk style with a tranquil landscape in Benin. The scene features an array of small, futuristic wind turbines and miniature solar panels integrated into the rural environment. Internet users, depicted as silhouettes or abstract figures, are visibly enthralled by the charming sight, capturing the blend of advanced technology with the serene, picturesque setting. The scene should evoke a sense of wonder and captivation, depicting the fusion of renewable energy and the endearing 'smol' elements amidst a cyberpunk aesthetic.

*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 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 Renewable energy production in Benin caused smol (Google searches for 'smol') to increase. Include one good pun.

AI academic paper

(Because p < 0.01)
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

Journal of Sustainable Technology and Quirky Insights

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 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 Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from Energy Information Administration and Google Trends to assess this nagging question. You found a correlation coefficient of 0.9147933 and p < 0.01 for 2004 to 2021.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

Perhaps it’s no longer shocking to stumble upon unexpected correlations and bizarre relationships in the world of research. Nevertheless, our latest endeavor has led us down a path less traveled, as we explore a rather unconventional bond between renewable energy production in Benin and the seemingly unrelated domain of internet searches for the term 'smol'. Embarking on this quirky journey, we couldn't help but marvel at the enigmatic connection that beckoned us to delve deeper into the unexplored depths of data analysis.

As scholars in the field of renewable energy, we often find ourselves knee-deep in datasets and statistical analyses. Yet, for this investigation, the allure of the unexpected led us to dive headfirst into the realm of internet lingo and online trends. Strapped with data from the Energy Information Administration and armed with the power of Google Trends, we set out on a fishing expedition, hoping to reel in any evidence of a correlation between two seemingly disparate areas of interest.

To our immense surprise, as we wrangled with the numbers and charts, we stumbled upon a correlation coefficient of 0.9147933 and a p-value less than 0.01 during the extensive timespan from 2004 to 2021. It was a moment of sheer bewilderment that begged the question: what tantalizing tie binds the production of renewable energy in Benin to the sudden intrigue with 'smol' on the vast landscape of the internet?

We invite you, dear reader, to join us in uncovering the intrinsic beauty of this unexpected association, as we embark on a quest to illuminate the uncharted territory where energy production and internet culture intersect. Not only does this research offer a glimpse into the potential influence of renewable energy on the whims of online discourse, but it also serves as a reminder that sometimes, the most illuminating discoveries emerge from the most unlikely places. So, fasten your seatbelts, for this peculiar yet pun-derful expedition promises to shed light on the intersection of renewable energy and the inexplicable allure of 'smol'.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
Perhaps it’s no longer shocking to stumble upon unexpected correlations and bizarre relationships in the world of research. Nevertheless, our latest endeavor has led us down a path less traveled, as we explore a rather unconventional bond between renewable energy production in Benin and the seemingly unrelated domain of internet searches for the term 'smol'. Embarking on this quirky journey, we couldn't help but marvel at the enigmatic connection that beckoned us to delve deeper into the unexplored depths of data analysis.
As scholars in the field of renewable energy, we often find ourselves knee-deep in datasets and statistical analyses. Yet, for this investigation, the allure of the unexpected led us to dive headfirst into the realm of internet lingo and online trends. Strapped with data from the Energy Information Administration and armed with the power of Google Trends, we set out on a fishing expedition, hoping to reel in any evidence of a correlation between two seemingly disparate areas of interest.
To our immense surprise, as we wrangled with the numbers and charts, we stumbled upon a correlation coefficient of 0.9147933 and a p-value less than 0.01 during the extensive timespan from 2004 to 2021. It was a moment of sheer bewilderment that begged the question: what tantalizing tie binds the production of renewable energy in Benin to the sudden intrigue with 'smol' on the vast landscape of the internet?
We invite you, dear reader, to join us in uncovering the intrinsic beauty of this unexpected association, as we embark on a quest to illuminate the uncharted territory where energy production and internet culture intersect. Not only does this research offer a glimpse into the potential influence of renewable energy on the whims of online discourse, but it also serves as a reminder that sometimes, the most illuminating discoveries emerge from the most unlikely places. So, fasten your seatbelts, for this peculiar yet pun-derful expedition promises to shed light on the intersection of renewable energy and the inexplicable allure of 'smol'.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In their groundbreaking study, Smith and Doe (2015) explore the socio-economic impacts of renewable energy production in Benin. Their thorough analysis sheds light on the potential benefits and challenges associated with the expansion of renewable energy infrastructure in the region. Meanwhile, Jones et al. (2018) delve into the technological advancements in renewable energy systems, providing a comprehensive overview of the strategies and innovations driving sustainable energy production in Benin.

Moving on from the realm of academic research, let's ponder the intriguing insights offered by non-fiction accounts such as "The Energy Revolution: Policies for a Sustainable Future" by Howard Kudler and "Renewable Energy: Power for a Sustainable Future" by Godfrey Boyle. These thought-provoking works delve into the complexities of renewable energy and its impact on global sustainability, offering a wealth of knowledge for the avid researcher.

Shifting gears into the realm of fiction, the narrative escapades captured in "The Solarpunk Chronicles" by Luna Silverwood and "Winds of Change: A Renewable Energy Romance" by Jasmine Green, offer a whimsical portrayal of renewable energy's transformative potential. While these works may not boast empirical evidence, their imaginative musings on sustainable energy transport the reader into a world where the power of renewables intertwines with tales of love, adventure, and unexpected discoveries.

But wait, the journey doesn't end there! How could we overlook the compelling anecdotes and musings on 'smol' that pervade social media platforms? From the tongue-in-cheek memes to the endearing hashtag campaigns, anecdotes of all sizes have flourished on the digital landscape. As the authors scrolled through various social media posts, a particular tweet caught their attention: "Renewable energy in Benin is so 'smol' compared to the potential it holds! #RenewableRevolution." This online sentiment, however light-hearted, encapsulates the intriguing resonance between renewable energy discourse and the online fascination with all things 'smol'.

Amidst the scientific papers, non-fiction tomes, and fictional flights of fancy, it becomes evident that the confluence of renewable energy production in Benin and the characterization of 'smol' on the internet is a truly peculiar yet captivating enigma. As we navigate this unusual territory, the authors invite you to chuckle along with these pun-derful discoveries and embark on a delightfully unexpected journey through the realms of renewable energy and internet lingo.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Google Trends . You used data from 2004 to 2021

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

[[INTRODUCTION]]
INTRODUCTION
Perhaps it’s no longer shocking to stumble upon unexpected correlations and bizarre relationships in the world of research. Nevertheless, our latest endeavor has led us down a path less traveled, as we explore a rather unconventional bond between renewable energy production in Benin and the seemingly unrelated domain of internet searches for the term 'smol'. Embarking on this quirky journey, we couldn't help but marvel at the enigmatic connection that beckoned us to delve deeper into the unexplored depths of data analysis.
As scholars in the field of renewable energy, we often find ourselves knee-deep in datasets and statistical analyses. Yet, for this investigation, the allure of the unexpected led us to dive headfirst into the realm of internet lingo and online trends. Strapped with data from the Energy Information Administration and armed with the power of Google Trends, we set out on a fishing expedition, hoping to reel in any evidence of a correlation between two seemingly disparate areas of interest.
To our immense surprise, as we wrangled with the numbers and charts, we stumbled upon a correlation coefficient of 0.9147933 and a p-value less than 0.01 during the extensive timespan from 2004 to 2021. It was a moment of sheer bewilderment that begged the question: what tantalizing tie binds the production of renewable energy in Benin to the sudden intrigue with 'smol' on the vast landscape of the internet?
We invite you, dear reader, to join us in uncovering the intrinsic beauty of this unexpected association, as we embark on a quest to illuminate the uncharted territory where energy production and internet culture intersect. Not only does this research offer a glimpse into the potential influence of renewable energy on the whims of online discourse, but it also serves as a reminder that sometimes, the most illuminating discoveries emerge from the most unlikely places. So, fasten your seatbelts, for this peculiar yet pun-derful expedition promises to shed light on the intersection of renewable energy and the inexplicable allure of 'smol'.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In the pursuit of unraveling the 'smol' connection between renewable energy production in Benin and Google searches, our research team employed a variety of methodological approaches that can only be described as a delightful fusion of conventional statistical analysis and digital anthropology with a dash of internet sleuthing.

To begin, we harnessed the power of data from the Energy Information Administration to obtain comprehensive insights into renewable energy production in Benin from 2004 to 2021. This information was utilized to construct a robust foundation for our investigation. It should be noted that our data collection process was akin to navigating through a maze of virtual power grids, with each dataset serving as a potential clue to uncover the elusive link between energy production and online fascination with 'smol'.

Moving on to the digital frontier, we ventured into the realm of Google Trends, where we meticulously scrutinized the search interest for the term 'smol' within the relevant timeframe. As the digital archaeologists of the modern era, we meticulously sifted through the virtual sands of Google searches, seeking patterns that could potentially unveil the correlation between renewable energy in Benin and the online obsession with all things 'smol'. The process of extracting search trend data felt akin to prospecting for digital gold – an unpredictable and exhilarating endeavor that required a keen eye for peculiar peaks and valleys in the data landscape.

Utilizing these diverse sources of information, we then wove the threads of statistical analysis, employing sophisticated correlation techniques to uncover the intricate connection that had eluded conventional wisdom. The revelation of a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 left us astounded, akin to stumbling upon a rare gem in the cacophony of statistical noise.

While these methods may seem unorthodox in the realm of traditional energy research, our unconventional approach allowed us to traverse the terrain of data with a lighthearted spirit, embracing the unexpected twists and turns that often accompany the quest for knowledge. Our methodology, though distinct in its quirks, served as a playful reminder that scholarly pursuits can bear the fruits of discovery when infused with a touch of whimsy and creativity.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

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

For the time period 2004 to 2021, you found a correlation 0.9147933, r-squared of 0.8368468, 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]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
Perhaps it’s no longer shocking to stumble upon unexpected correlations and bizarre relationships in the world of research. Nevertheless, our latest endeavor has led us down a path less traveled, as we explore a rather unconventional bond between renewable energy production in Benin and the seemingly unrelated domain of internet searches for the term 'smol'. Embarking on this quirky journey, we couldn't help but marvel at the enigmatic connection that beckoned us to delve deeper into the unexplored depths of data analysis.
As scholars in the field of renewable energy, we often find ourselves knee-deep in datasets and statistical analyses. Yet, for this investigation, the allure of the unexpected led us to dive headfirst into the realm of internet lingo and online trends. Strapped with data from the Energy Information Administration and armed with the power of Google Trends, we set out on a fishing expedition, hoping to reel in any evidence of a correlation between two seemingly disparate areas of interest.
To our immense surprise, as we wrangled with the numbers and charts, we stumbled upon a correlation coefficient of 0.9147933 and a p-value less than 0.01 during the extensive timespan from 2004 to 2021. It was a moment of sheer bewilderment that begged the question: what tantalizing tie binds the production of renewable energy in Benin to the sudden intrigue with 'smol' on the vast landscape of the internet?
We invite you, dear reader, to join us in uncovering the intrinsic beauty of this unexpected association, as we embark on a quest to illuminate the uncharted territory where energy production and internet culture intersect. Not only does this research offer a glimpse into the potential influence of renewable energy on the whims of online discourse, but it also serves as a reminder that sometimes, the most illuminating discoveries emerge from the most unlikely places. So, fasten your seatbelts, for this peculiar yet pun-derful expedition promises to shed light on the intersection of renewable energy and the inexplicable allure of 'smol'.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our analysis of the connection between renewable energy production in Benin and Google searches for 'smol' revealed a surprising and robust correlation. The correlation coefficient of 0.9147933, an r-squared of 0.8368468, and a p-value less than 0.01 highlighted the unexpectedly strong relationship between these two seemingly unrelated variables.

Figure 1 displays a scatterplot that vividly illustrates the remarkable correlation between renewable energy production in Benin and the frequency of 'smol' searches on Google. The data points clumped together like a school of fish, leaving no doubt about the notable association between these disparate phenomena.

The significance of this correlation led to many a raised eyebrow and a hearty chuckle among our research team. It's not every day that a research project leaves you exclaiming, "Well, I'll be a monkey's uncle!"

This compelling finding raises intriguing questions about the underlying factors contributing to the link between renewable energy production and the online fascination with all things 'smol'. Perhaps the energy effic-iency of 'smol' objects is driving this interest, or maybe there's a hidden 'smol and mighty' movement spurred on by eco-conscious netizens. Whatever the explanation, it's clear that there's more to this 'smol' connection than meets the eye.

In the world of research, unexpected discoveries like these serve as a whimsical reminder that the data often holds hidden treasures waiting to be unearthed. While the connection between renewable energy in Benin and 'smol' may seem humorous at first glance, its implications underscore the quirky and delightful interplay between internet culture and global energy dynamics.

The sheer delight of this finding emphasizes the boundless potential for uncovering unexpected connections at the intersection of seemingly unrelated domains. As we embark on the discussion and interpretation of these results, it becomes clear that, sometimes, the most 'smol' things can lead us to the most significant discoveries.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

[[LITERATURE REVIEW]]
In their groundbreaking study, Smith and Doe (2015) explore the socio-economic impacts of renewable energy production in Benin. Their thorough analysis sheds light on the potential benefits and challenges associated with the expansion of renewable energy infrastructure in the region. Meanwhile, Jones et al. (2018) delve into the technological advancements in renewable energy systems, providing a comprehensive overview of the strategies and innovations driving sustainable energy production in Benin.
Moving on from the realm of academic research, let's ponder the intriguing insights offered by non-fiction accounts such as "The Energy Revolution: Policies for a Sustainable Future" by Howard Kudler and "Renewable Energy: Power for a Sustainable Future" by Godfrey Boyle. These thought-provoking works delve into the complexities of renewable energy and its impact on global sustainability, offering a wealth of knowledge for the avid researcher.
Shifting gears into the realm of fiction, the narrative escapades captured in "The Solarpunk Chronicles" by Luna Silverwood and "Winds of Change: A Renewable Energy Romance" by Jasmine Green, offer a whimsical portrayal of renewable energy's transformative potential. While these works may not boast empirical evidence, their imaginative musings on sustainable energy transport the reader into a world where the power of renewables intertwines with tales of love, adventure, and unexpected discoveries.
But wait, the journey doesn't end there! How could we overlook the compelling anecdotes and musings on 'smol' that pervade social media platforms? From the tongue-in-cheek memes to the endearing hashtag campaigns, anecdotes of all sizes have flourished on the digital landscape. As the authors scrolled through various social media posts, a particular tweet caught their attention: "Renewable energy in Benin is so 'smol' compared to the potential it holds! #RenewableRevolution." This online sentiment, however light-hearted, encapsulates the intriguing resonance between renewable energy discourse and the online fascination with all things 'smol'.
Amidst the scientific papers, non-fiction tomes, and fictional flights of fancy, it becomes evident that the confluence of renewable energy production in Benin and the characterization of 'smol' on the internet is a truly peculiar yet captivating enigma. As we navigate this unusual territory, the authors invite you to chuckle along with these pun-derful discoveries and embark on a delightfully unexpected journey through the realms of renewable energy and internet lingo.

[[RESULTS]]
Our analysis of the connection between renewable energy production in Benin and Google searches for 'smol' revealed a surprising and robust correlation. The correlation coefficient of 0.9147933, an r-squared of 0.8368468, and a p-value less than 0.01 highlighted the unexpectedly strong relationship between these two seemingly unrelated variables.
Figure 1 displays a scatterplot that vividly illustrates the remarkable correlation between renewable energy production in Benin and the frequency of 'smol' searches on Google. The data points clumped together like a school of fish, leaving no doubt about the notable association between these disparate phenomena.
The significance of this correlation led to many a raised eyebrow and a hearty chuckle among our research team. It's not every day that a research project leaves you exclaiming, "Well, I'll be a monkey's uncle!"
This compelling finding raises intriguing questions about the underlying factors contributing to the link between renewable energy production and the online fascination with all things 'smol'. Perhaps the energy effic-iency of 'smol' objects is driving this interest, or maybe there's a hidden 'smol and mighty' movement spurred on by eco-conscious netizens. Whatever the explanation, it's clear that there's more to this 'smol' connection than meets the eye.
In the world of research, unexpected discoveries like these serve as a whimsical reminder that the data often holds hidden treasures waiting to be unearthed. While the connection between renewable energy in Benin and 'smol' may seem humorous at first glance, its implications underscore the quirky and delightful interplay between internet culture and global energy dynamics.
The sheer delight of this finding emphasizes the boundless potential for uncovering unexpected connections at the intersection of seemingly unrelated domains. As we embark on the discussion and interpretation of these results, it becomes clear that, sometimes, the most 'smol' things can lead us to the most significant discoveries.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study has unveiled a surprisingly robust correlation between renewable energy production in Benin and Google searches for 'smol', echoing the sentiments of Smith and Doe (2015) who emphasized the socio-economic impacts of renewable energy. The unexpected connection is akin to stumbling upon a hidden treasure chest in the digital seas, sparking curiosity and raising eyebrows in equal measure. As we navigate through this uncharted territory, it's evident that this peculiar relationship can't be dismissed as mere coincidence.

The correlation coefficient of 0.9147933 and a p-value less than 0.01 point to a noteworthy association between renewable energy and the 'smol' phenomenon. This finding comes as no small surprise, considering the whimsical hints provided by the ever-so-light-hearted social media posts and anecdotes from our literature review. The "Renewable energy in Benin is so 'smol' compared to the potential it holds" tweet, while seemingly in jest, hinted at a deeper resonance between energy discourse and the online fascination with all things 'smol'.

Our results support the quirky musings of Luna Silverwood and Jasmine Green, whose works in fiction explored the transformative potential of renewable energy. Just as their stories intertwined love, adventure, and unexpected discoveries with sustainable energy, our findings weave together the seemingly disparate realms of renewable energy and internet lingo in a delightfully unexpected manner.

The discovery of this association prompts us to ponder the underlying factors fueling the link between renewable energy and 'smol' searches. Could it be that the efficiency and sustainability of renewable energy systems are subconsciously resonating with the online community's fascination with all things 'smol'? This unexpected revelation serves as a whimsical reminder that sometimes, the most 'smol' things can lead us to the most surprisingly significant discoveries.

Our study, while undoubtedly unconventional, opens up avenues for further exploration into the fascinating intersection of renewable energy and online culture. It underscores the potential for uncovering unexpected connections at the nexus of seemingly unrelated domains, reminding us that the line between the humorous and the profound can sometimes blur in the most delightful ways.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Renewable energy production in Benin and Google searches for 'smol'. Make lots of jokes, goofy observations, and puns.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Renewable Energy in Benin: A 'Smol' Connection to Google Searches

[[ABSTRACT]]
In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.

To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

[[INTRDUCTION]]
INTRODUCTION
Perhaps it’s no longer shocking to stumble upon unexpected correlations and bizarre relationships in the world of research. Nevertheless, our latest endeavor has led us down a path less traveled, as we explore a rather unconventional bond between renewable energy production in Benin and the seemingly unrelated domain of internet searches for the term 'smol'. Embarking on this quirky journey, we couldn't help but marvel at the enigmatic connection that beckoned us to delve deeper into the unexplored depths of data analysis.
As scholars in the field of renewable energy, we often find ourselves knee-deep in datasets and statistical analyses. Yet, for this investigation, the allure of the unexpected led us to dive headfirst into the realm of internet lingo and online trends. Strapped with data from the Energy Information Administration and armed with the power of Google Trends, we set out on a fishing expedition, hoping to reel in any evidence of a correlation between two seemingly disparate areas of interest.
To our immense surprise, as we wrangled with the numbers and charts, we stumbled upon a correlation coefficient of 0.9147933 and a p-value less than 0.01 during the extensive timespan from 2004 to 2021. It was a moment of sheer bewilderment that begged the question: what tantalizing tie binds the production of renewable energy in Benin to the sudden intrigue with 'smol' on the vast landscape of the internet?
We invite you, dear reader, to join us in uncovering the intrinsic beauty of this unexpected association, as we embark on a quest to illuminate the uncharted territory where energy production and internet culture intersect. Not only does this research offer a glimpse into the potential influence of renewable energy on the whims of online discourse, but it also serves as a reminder that sometimes, the most illuminating discoveries emerge from the most unlikely places. So, fasten your seatbelts, for this peculiar yet pun-derful expedition promises to shed light on the intersection of renewable energy and the inexplicable allure of 'smol'.

[[RESULTS]]
Our analysis of the connection between renewable energy production in Benin and Google searches for 'smol' revealed a surprising and robust correlation. The correlation coefficient of 0.9147933, an r-squared of 0.8368468, and a p-value less than 0.01 highlighted the unexpectedly strong relationship between these two seemingly unrelated variables.
Figure 1 displays a scatterplot that vividly illustrates the remarkable correlation between renewable energy production in Benin and the frequency of 'smol' searches on Google. The data points clumped together like a school of fish, leaving no doubt about the notable association between these disparate phenomena.
The significance of this correlation led to many a raised eyebrow and a hearty chuckle among our research team. It's not every day that a research project leaves you exclaiming, "Well, I'll be a monkey's uncle!"
This compelling finding raises intriguing questions about the underlying factors contributing to the link between renewable energy production and the online fascination with all things 'smol'. Perhaps the energy effic-iency of 'smol' objects is driving this interest, or maybe there's a hidden 'smol and mighty' movement spurred on by eco-conscious netizens. Whatever the explanation, it's clear that there's more to this 'smol' connection than meets the eye.
In the world of research, unexpected discoveries like these serve as a whimsical reminder that the data often holds hidden treasures waiting to be unearthed. While the connection between renewable energy in Benin and 'smol' may seem humorous at first glance, its implications underscore the quirky and delightful interplay between internet culture and global energy dynamics.
The sheer delight of this finding emphasizes the boundless potential for uncovering unexpected connections at the intersection of seemingly unrelated domains. As we embark on the discussion and interpretation of these results, it becomes clear that, sometimes, the most 'smol' things can lead us to the most significant discoveries.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation has illuminated a 'smol' but mighty connection between renewable energy production in Benin and Google searches for 'smol'. The striking correlation coefficient of 0.9147933 and a p-value less than 0.01 from 2004 to 2021 has left us awe-struck, as we navigate the uncharted waters where energy production and internet memes collide.

As we wrap up this peculiar yet pun-derful expedition, it's important to acknowledge that sometimes, the most unexpected findings can spark the brightest insights. Who would have thought that the pursuit of 'smol' things on the internet could be intertwined with the larger energy landscape? It's like finding a nugget of renewable energy potential in a haystack of internet humor!

So, what does this all mean? Well, it's clear that there's more to this connection than meets the 'eye of newt and toe of frog.' Maybe the efficiency and sustainability of 'smol' objects are capturing the attention of netizens, or perhaps there's a 'smol-ympic' movement brewing in the virtual world. Whatever the reason, it's a testament to the whimsical and delightful interplay between culture and renewable energy dynamics.

In the grand scheme of academic explorations, this research has proven one thing – it's essential to keep an open mind and a keen eye for unexpected correlations. With that said, it seems that our analysis has hit the 'punny' bone and reeled in a find of 'smol' yet monumental proportions. Therefore, we dare say that no further research is needed in this area, and it may be time to leave this 'smol' connection to float in the vast sea of scholarly curiosities.


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 Renewable Energy in Benin: A 'Smol' Connection to Google Searches. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Sustainable Technology and Quirky Insights


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 Renewable Energy in Benin: A 'Smol' Connection to Google Searches. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Innovative Energy Solutions


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 Renewable Energy in Benin: A 'Smol' Connection to Google Searches with an abstract of In the world of renewable energy research, we often come across shocking correlations and unexpected relationships. In this paper, we embark on a rather unconventional journey to uncover the peculiar connection between renewable energy production in Benin and Google searches for the term 'smol'. Utilizing data from the Energy Information Administration and Google Trends, our research team fished through the sea of information to assess this enigmatic relationship.
To our surprise, we discovered a striking correlation coefficient of 0.9147933 and a p-value less than 0.01 during the timespan from 2004 to 2021. This finding beckons the question: Is there truly a 'smol' connection between renewable energy production in Benin and the online fascination with 'smol' things? Join us as we delve into the quirks of this unlikely association and unearth the unexpectedly delightful intersection of energy production and internet lingo. This research not only sheds light on the potential impact of renewable energy on online culture, but also serves as a lighthearted reminder that, sometimes, the most pun-derful discoveries come from the unexpected.

ChatGPT:

Renewable energy, Benin, Google searches, 'smol', correlation, Energy Information Administration, Google Trends, relationship, renewable energy production, online fascination, internet lingo, lighthearted discovery, association, pun-derful discoveries

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



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Data details

Renewable energy production in Benin
Detailed data title: Total renewable energy production in Benin in billion kWh
Source: Energy Information Administration
See what else correlates with Renewable energy production in Benin

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

See what else correlates with Google searches for 'smol'

Correlation r = 0.9147933 (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 = 0.8368468 (Coefficient of determination)
This means 83.7% of the change in the one variable (i.e., Google searches for 'smol') is predictable based on the change in the other (i.e., Renewable energy production in Benin) over the 18 years from 2004 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.07E-7. 0.0000001066457305278855000000
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 0.91 in 1.07E-5% of random cases. Said differently, if you correlated 9,376,840 random variables You don't actually need 9 million variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 17 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 17 because we have two variables measured over a period of 18 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.78, 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.
200420052006200720082009201020112012201320142015201620172018201920202021
Renewable energy production in Benin (Billion kWh)0.0010.0010.0010.0010.0010.0010.0010.0010.0010.0020.0020.0060.010.0060.00510.008060.007060.00806
Google searches for 'smol' (Rel. search volume)12.2513.510.666712.166713.083318.519.520.333321.333326.532.08334674.833385.166786.333384.2589.083383.1667




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 “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.
  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.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.006,0.01,0.006,0.0051,0.00806,0.00706,0.00806,])
array_2 = np.array([12.25,13.5,10.6667,12.1667,13.0833,18.5,19.5,20.3333,21.3333,26.5,32.0833,46,74.8333,85.1667,86.3333,84.25,89.0833,83.1667,])
array_1_name = "Renewable energy production in Benin"
array_2_name = "Google searches for 'smol'"

# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)

# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)



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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: 3224 · Black Variable ID: 23518 · Red Variable ID: 1370
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