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Spurious correlation #1,117 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Motor vehicle thefts in Montana and the second variable is Solar power generated in Guinea.  The chart goes from 2009 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As motor vehicle thefts in Montana increased, it led to a shortage of getaway cars. This inadvertently created a demand for alternative modes of transportation, prompting a group of car enthusiasts to promote solar-powered vehicles. Their enthusiasm and advocacy for eco-friendly transportation somehow went viral, capturing the attention of Guinea's energy sector. Inspired by the unexpected endorsement, Guinea decided to invest heavily in solar power, leading to a significant increase in solar power generated. The irony of car thefts indirectly contributing to a greener, solar-powered future was not lost on anyone. And that, my friends, is how a bizarre chain of events led to a shocking yet strangely uplifting correlation between motor vehicle thefts in Montana and the surge in solar power generated in Guinea. Who knew that the path to a brighter, more sustainable world could involve such unexpected twists and turns?

Model: dalle-3
Prompt: Creating a prompt that imagines this complex scene drawing inspiration from "Data cyber art": Generate an image of a stylized nighttime cityscape in Montana with sleek, futuristic cars being covertly stolen in the dark, while also depicting a vivid, technological landscape in Guinea, dominated by vibrant solar panels in the bright sunlight. The style should be a fusion of cybernetic intricacy, conveying the interplay between criminal energy and environmental consciousness. The juxtaposition should evoke a sense of sublime beauty and ecological awakening through the transformative power of technology. 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 situation described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here is a situation: Motor vehicle thefts in Montana cause Solar power generated in Guinea to increase because the increased thrill of stealing cars sends a surge of adrenaline through the thieves' bodies. This adrenaline rush coincidentally heightens their cognitive abilities, leading to a sudden collective realization that investing in sustainable energy is the way to offset their carbon footprint from joyriding. This newfound eco-consciousness prompts a wave of investments in solar power generation in Guinea, creating a direct correlation between the two seemingly unrelated events.. Given that situation, which of the following image descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand and the tone of the explanation. Please respond with only one of the following potential descriptions: Surrealism An image that looks like it is a scene from a Pixar movie Data cyber art High-tech Cute cartoon
ChatGPT: Data cyber art

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated and the explanation described. Do not reference graphs or charts; describe physical objects.
User prompt: Please describe a visual scene that depicts the following situation. Keep the description simple. Motor vehicle thefts in Montana cause Solar power generated in Guinea to increase because the increased thrill of stealing cars sends a surge of adrenaline through the thieves' bodies. This adrenaline rush coincidentally heightens their cognitive abilities, leading to a sudden collective realization that investing in sustainable energy is the way to offset their carbon footprint from joyriding. This newfound eco-consciousness prompts a wave of investments in solar power generation in Guinea, creating a direct correlation between the two seemingly unrelated events.
ChatGPT: Imagine a scene in Montana where a few cars are being stealthily stolen in the dead of night, with the thieves revving the engines and speeding away. At the same time, picture a group of people in Guinea setting up solar panels in the bright sunshine. As the car thieves feel the rush of excitement and energy from their illicit activities, the increased adrenaline causes them to become more alert and focused, leading to a newfound ecological awareness. This sudden realization prompts them to invest in sustainable energy sources, like solar power, which in turn leads to a surge of solar power generation activity in Guinea.

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: [ Data cyber art ] and depicting this scene: Imagine a scene in Montana where a few cars are being stealthily stolen in the dead of night, with the thieves revving the engines and speeding away. At the same time, picture a group of people in Guinea setting up solar panels in the bright sunshine. As the car thieves feel the rush of excitement and energy from their illicit activities, the increased adrenaline causes them to become more alert and focused, leading to a newfound ecological awareness. This sudden realization prompts them to invest in sustainable energy sources, like solar power, which in turn leads to a surge of solar power generation activity in Guinea. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Creating a prompt that imagines this complex scene drawing inspiration from "Data cyber art": Generate an image of a stylized nighttime cityscape in Montana with sleek, futuristic cars being covertly stolen in the dark, while also depicting a vivid, technological landscape in Guinea, dominated by vibrant solar panels in the bright sunlight. The style should be a fusion of cybernetic intricacy, conveying the interplay between criminal energy and environmental consciousness. The juxtaposition should evoke a sense of sublime beauty and ecological awakening through the transformative power of technology.

*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 Motor vehicle thefts in Montana caused Solar power generated in Guinea to increase.

AI academic paper

(Because p < 0.01)
Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea

The Journal of Eclectic Solar Criminology

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 Motor vehicle thefts in Montana and Solar power generated in Guinea. Make lots of jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from FBI Criminal Justice Information Services and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.9438353 and p < 0.01 for 2009 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]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.


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 Motor vehicle thefts in Montana and Solar power generated in Guinea. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Buckle up, folks, because we're about to take a joyride through the dazzling intersection of motor vehicle thefts in Montana and solar power generated in Guinea. It's not every day that the worlds of crime and renewable energy collide, but here we are, revving our engines and ready to explore this unexpected correlation.

As researchers, we're used to delving into the depths of data, sifting through numbers like treasure hunters in a sea of spreadsheets. But every now and then, we stumble upon a statistical gem that leaves us scratching our heads and wondering, "How on earth did these two variables end up on the same road?"

Our journey begins with the simple realization that sometimes, correlation is stranger than fiction. Who would have thought that the amount of solar power harnessed in Guinea could be linked, however strangely, to the number of car thefts happening in the wide-open spaces of Montana? It's like discovering a cosmic connection between the sun and sticky-fingered bandits – a real "daylight robbery," if you will.

But before we dive into the nitty-gritty of our findings, let's pause for a moment to appreciate the sheer serendipity of this discovery. It's as if the universe decided to play a game of celestial roulette, spinning the wheel of statistical fate and landing on a pairing that nobody saw coming. We couldn't help but feel a sense of awe at the strange dance of variables and the curious ways in which they can twirl around each other in the vast scientific ballroom.

So, as we buckle our seatbelts and embark on this wild adventure, let's remember that in the world of research, surprises lurk around every corner. Whether it's solar-powered sleights of hand or thieving tendencies under the big sky, we're in for a ride that's bound to leave us both scratching our heads and beaming with the joy of discovery. After all, who said science couldn't have a little fun along the way?


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 Motor vehicle thefts in Montana and Solar power generated in Guinea. 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 name a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Buckle up, folks, because we're about to take a joyride through the dazzling intersection of motor vehicle thefts in Montana and solar power generated in Guinea. It's not every day that the worlds of crime and renewable energy collide, but here we are, revving our engines and ready to explore this unexpected correlation.
As researchers, we're used to delving into the depths of data, sifting through numbers like treasure hunters in a sea of spreadsheets. But every now and then, we stumble upon a statistical gem that leaves us scratching our heads and wondering, "How on earth did these two variables end up on the same road?"
Our journey begins with the simple realization that sometimes, correlation is stranger than fiction. Who would have thought that the amount of solar power harnessed in Guinea could be linked, however strangely, to the number of car thefts happening in the wide-open spaces of Montana? It's like discovering a cosmic connection between the sun and sticky-fingered bandits – a real "daylight robbery," if you will.
But before we dive into the nitty-gritty of our findings, let's pause for a moment to appreciate the sheer serendipity of this discovery. It's as if the universe decided to play a game of celestial roulette, spinning the wheel of statistical fate and landing on a pairing that nobody saw coming. We couldn't help but feel a sense of awe at the strange dance of variables and the curious ways in which they can twirl around each other in the vast scientific ballroom.
So, as we buckle our seatbelts and embark on this wild adventure, let's remember that in the world of research, surprises lurk around every corner. Whether it's solar-powered sleights of hand or thieving tendencies under the big sky, we're in for a ride that's bound to leave us both scratching our heads and beaming with the joy of discovery. After all, who said science couldn't have a little fun along the way?

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

As we delve into the realm of improbable connections, we find ourselves navigating through a sea of scholarly works that seek to shed light on the enigmatic correlation between motor vehicle thefts in Montana and solar power generated in Guinea. Smith and Doe (2015), in their seminal study titled "Sunlight on Crime: A Statistical Analysis of Motor Vehicle Thefts and Solar Energy Production," first broached the perplexing relationship between these two disparate phenomena. Their data-driven approach highlighted the uncanny synchrony between the upward trend in solar power generation in Guinea and the corresponding spike in car theft rates in the vast expanse of Montana.

Jones (2018) delved deeper into this uncanny correlation in "The Solar-Powered Crime Wave: A Multivariate Analysis." The author conducted an extensive investigation into the potential causal mechanisms underpinning the observed statistical linkage. The findings revealed a solar flare of criminal activity, piquing the interest of researchers and law enforcement agencies alike.

Further scholarly endeavors by Smith (2017) in "Gone in a Blaze of Sunlight: Solar Power and Vehicular Disappearances" and Doe (2020) in "The Light-Fingered Chronicles: A Comprehensive Examination of Solar Energy and Vehicle Thefts" consolidated the emerging body of literature on this intriguing correlation, cementing its status as a bona fide subject of academic inquiry.

Venturing beyond the confines of scholarly publications, we are compelled to cast a sunbeam on the real-world implications of our findings. "Solar Power: Harnessing the Energy of the Future" by Greenhouse (2019) and "The Great Montana Car Caper" by Thunderbolt (2016) present tangential perspectives on the interplay between renewable energy and automotive security, albeit in less scientifically rigorous formats.

In the realm of fiction, we encounter narratives that, albeit tangentially, touch upon the themes of solar power and thievery. "The Sunshine Heist" by Lightfinger (2014) offers a lighthearted romp through a world where solar panels and stolen cars intersect in unexpected ways, emphasizing the capricious nature of statistical correlations.

Turning to popular culture, memes such as "Solar-Powered Getaway Cars" and "Montana Theft Exposé: The Phantom Menace of Solar Panels" have permeated internet circles, distilling the essence of our research findings into bite-sized, humorous vignettes.

In this eclectic melange of academic discourse, literary musings, and internet japes, the convergence of motor vehicle thefts in Montana and solar power generated in Guinea emerges as a rich tapestry of unexpected connections, reminding us that even the most unlikely correlations can yield illuminating insights.


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 Motor vehicle thefts in Montana and Solar power generated in Guinea. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from FBI Criminal Justice Information Services and Energy Information Administration . You used data from 2009 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]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

[[INTRODUCTION]]
Buckle up, folks, because we're about to take a joyride through the dazzling intersection of motor vehicle thefts in Montana and solar power generated in Guinea. It's not every day that the worlds of crime and renewable energy collide, but here we are, revving our engines and ready to explore this unexpected correlation.
As researchers, we're used to delving into the depths of data, sifting through numbers like treasure hunters in a sea of spreadsheets. But every now and then, we stumble upon a statistical gem that leaves us scratching our heads and wondering, "How on earth did these two variables end up on the same road?"
Our journey begins with the simple realization that sometimes, correlation is stranger than fiction. Who would have thought that the amount of solar power harnessed in Guinea could be linked, however strangely, to the number of car thefts happening in the wide-open spaces of Montana? It's like discovering a cosmic connection between the sun and sticky-fingered bandits – a real "daylight robbery," if you will.
But before we dive into the nitty-gritty of our findings, let's pause for a moment to appreciate the sheer serendipity of this discovery. It's as if the universe decided to play a game of celestial roulette, spinning the wheel of statistical fate and landing on a pairing that nobody saw coming. We couldn't help but feel a sense of awe at the strange dance of variables and the curious ways in which they can twirl around each other in the vast scientific ballroom.
So, as we buckle our seatbelts and embark on this wild adventure, let's remember that in the world of research, surprises lurk around every corner. Whether it's solar-powered sleights of hand or thieving tendencies under the big sky, we're in for a ride that's bound to leave us both scratching our heads and beaming with the joy of discovery. After all, who said science couldn't have a little fun along the way?

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the enigmatic connection between motor vehicle thefts in Montana and solar power generated in Guinea, our research team embarked on a data-gathering expedition worthy of a scientific scavenger hunt. We combed through the archives of the FBI Criminal Justice Information Services and the Energy Information Administration, scavenging for morsels of statistical treasure that would shed light on this curious correlation. Armed with a keen eye for patterns and a relentless determination to uncover the unexpected, we set out to navigate the winding roads of research methodology.

Our first port of call was to wrangle the datasets for motor vehicle thefts and solar power generation from the vast wilderness of online databases. With the aura of intrepid explorers charting uncharted territory, we ventured into the digital domain, navigating the treacherous currents of raw data and obscure file formats. Like intrepid treasure hunters, we delved deep into the depths of spreadsheets and databases, deciphering the cryptic codes of statistical significance and unearthing the nuggets of information that would form the bedrock of our analysis.

Once we had corralled the elusive datasets under our scientific command, it was time to harness the raw power of statistical analysis. We unleashed the mighty forces of correlation coefficients, p-values, and regression models, leading us through the labyrinthine paths of hypothesis testing and significance levels. Our trusty statistical software became our chariot, hurtling us through the cosmos of data with the speed and precision of a solar-powered spacecraft.

With the grand procession of statistical tests complete, we affixed our gaze upon the endearing creatures known as scatterplots. These graphical renditions of data points bloomed before our eyes like celestial constellations, casting their twinkling light upon the connection between motor vehicle thefts and solar power generated. As we marveled at the dance of points on the canvas of correlation, we found ourselves caught in the gravitational pull of a striking correlation coefficient of 0.9438353, accompanied by a p-value that winked slyly at us, whispering "p < 0.01."

But our journey was far from over. As we navigated the statistical highways, we braved the perilous realms of time-series analysis, charting the ebb and flow of motor vehicle thefts and solar power generation across the years. We dissected the temporal tapestry with the precision of a cosmic surgeon, probing for temporal trends and uncovering the subtle rhythms of change that pulsed beneath the surface of our data.

And thus, with our quivers full of statistical arrows and our minds stretched to the limits of scientific inquiry, we emerged from the labyrinth of methodology, triumphantly bearing the torch of discovery. Our journey through the solar-powered highways of statistical analysis had illuminated a bright spot in the enigmatic connection between motor vehicle thefts in Montana and solar power generated in Guinea, demonstrating that in the grand theater of research, the spotlight can shine on the unlikeliest of intersections.


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 Motor vehicle thefts in Montana and Solar power generated in Guinea. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from FBI Criminal Justice Information Services and Energy Information Administration .

For the time period 2009 to 2021, you found a correlation 0.9438353, r-squared of 0.8908251, 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]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Buckle up, folks, because we're about to take a joyride through the dazzling intersection of motor vehicle thefts in Montana and solar power generated in Guinea. It's not every day that the worlds of crime and renewable energy collide, but here we are, revving our engines and ready to explore this unexpected correlation.
As researchers, we're used to delving into the depths of data, sifting through numbers like treasure hunters in a sea of spreadsheets. But every now and then, we stumble upon a statistical gem that leaves us scratching our heads and wondering, "How on earth did these two variables end up on the same road?"
Our journey begins with the simple realization that sometimes, correlation is stranger than fiction. Who would have thought that the amount of solar power harnessed in Guinea could be linked, however strangely, to the number of car thefts happening in the wide-open spaces of Montana? It's like discovering a cosmic connection between the sun and sticky-fingered bandits – a real "daylight robbery," if you will.
But before we dive into the nitty-gritty of our findings, let's pause for a moment to appreciate the sheer serendipity of this discovery. It's as if the universe decided to play a game of celestial roulette, spinning the wheel of statistical fate and landing on a pairing that nobody saw coming. We couldn't help but feel a sense of awe at the strange dance of variables and the curious ways in which they can twirl around each other in the vast scientific ballroom.
So, as we buckle our seatbelts and embark on this wild adventure, let's remember that in the world of research, surprises lurk around every corner. Whether it's solar-powered sleights of hand or thieving tendencies under the big sky, we're in for a ride that's bound to leave us both scratching our heads and beaming with the joy of discovery. After all, who said science couldn't have a little fun along the way?

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

# Results

In our data analysis, we found a positively glaring correlation between motor vehicle thefts in Montana and solar power generated in Guinea, with a correlation coefficient of 0.9438353 and an r-squared of 0.8908251, both with p-values less than 0.01. This correlation brings a whole new meaning to the concept of "hot wheels," as it seems that the sun's energy can fuel both cars and statistical relationships. It's as though the solar panels are soaking up not just photons, but also some unexpected criminal energy.

Now, our one and only figure, Fig. 1, provides a visual representation of this solar-powered correlation. You might expect a scatterplot of car thefts and solar power to look like a collision of worlds, but behold! The graph reveals a surprisingly smooth relationship, as if the sun's rays are shining down on the path of car thefts, guiding them toward statistical significance. Who knew that statistical analysis could have such a sunny side?

The strength of this correlation suggests that there may be some underlying connection between these two seemingly disparate variables. Perhaps the solar panels are inadvertently beaming signals that attract car thieves, or maybe the energy from the sun is just too irresistible for both vehicles and larcenous intentions. Whatever the reason, this unexpected relationship gives new meaning to the term "solar-powered crime spree."

In conclusion, our findings not only showcase the unexpected places where correlations can crop up but also remind us that statistical analysis can be filled with surprises. This study shines a light on the quirky connections that can emerge from data analysis, demonstrating the far-reaching impact of solar power – from illuminating homes to enigmatically influencing car thefts. As researchers, we're revved up and ready for more unexpected journeys through the colorful spectrum of statistical associations, exploring the unknown with the fervor of scientific adventurers.


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 Motor vehicle thefts in Montana and Solar power generated in Guinea. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

[[LITERATURE REVIEW]]
As we delve into the realm of improbable connections, we find ourselves navigating through a sea of scholarly works that seek to shed light on the enigmatic correlation between motor vehicle thefts in Montana and solar power generated in Guinea. Smith and Doe (2015), in their seminal study titled "Sunlight on Crime: A Statistical Analysis of Motor Vehicle Thefts and Solar Energy Production," first broached the perplexing relationship between these two disparate phenomena. Their data-driven approach highlighted the uncanny synchrony between the upward trend in solar power generation in Guinea and the corresponding spike in car theft rates in the vast expanse of Montana.
Jones (2018) delved deeper into this uncanny correlation in "The Solar-Powered Crime Wave: A Multivariate Analysis." The author conducted an extensive investigation into the potential causal mechanisms underpinning the observed statistical linkage. The findings revealed a solar flare of criminal activity, piquing the interest of researchers and law enforcement agencies alike.
Further scholarly endeavors by Smith (2017) in "Gone in a Blaze of Sunlight: Solar Power and Vehicular Disappearances" and Doe (2020) in "The Light-Fingered Chronicles: A Comprehensive Examination of Solar Energy and Vehicle Thefts" consolidated the emerging body of literature on this intriguing correlation, cementing its status as a bona fide subject of academic inquiry.
Venturing beyond the confines of scholarly publications, we are compelled to cast a sunbeam on the real-world implications of our findings. "Solar Power: Harnessing the Energy of the Future" by Greenhouse (2019) and "The Great Montana Car Caper" by Thunderbolt (2016) present tangential perspectives on the interplay between renewable energy and automotive security, albeit in less scientifically rigorous formats.
In the realm of fiction, we encounter narratives that, albeit tangentially, touch upon the themes of solar power and thievery. "The Sunshine Heist" by Lightfinger (2014) offers a lighthearted romp through a world where solar panels and stolen cars intersect in unexpected ways, emphasizing the capricious nature of statistical correlations.
Turning to popular culture, memes such as "Solar-Powered Getaway Cars" and "Montana Theft Exposé: The Phantom Menace of Solar Panels" have permeated internet circles, distilling the essence of our research findings into bite-sized, humorous vignettes.
In this eclectic melange of academic discourse, literary musings, and internet japes, the convergence of motor vehicle thefts in Montana and solar power generated in Guinea emerges as a rich tapestry of unexpected connections, reminding us that even the most unlikely correlations can yield illuminating insights.

[[RESULTS]]
# Results
In our data analysis, we found a positively glaring correlation between motor vehicle thefts in Montana and solar power generated in Guinea, with a correlation coefficient of 0.9438353 and an r-squared of 0.8908251, both with p-values less than 0.01. This correlation brings a whole new meaning to the concept of "hot wheels," as it seems that the sun's energy can fuel both cars and statistical relationships. It's as though the solar panels are soaking up not just photons, but also some unexpected criminal energy.
Now, our one and only figure, Fig. 1, provides a visual representation of this solar-powered correlation. You might expect a scatterplot of car thefts and solar power to look like a collision of worlds, but behold! The graph reveals a surprisingly smooth relationship, as if the sun's rays are shining down on the path of car thefts, guiding them toward statistical significance. Who knew that statistical analysis could have such a sunny side?
The strength of this correlation suggests that there may be some underlying connection between these two seemingly disparate variables. Perhaps the solar panels are inadvertently beaming signals that attract car thieves, or maybe the energy from the sun is just too irresistible for both vehicles and larcenous intentions. Whatever the reason, this unexpected relationship gives new meaning to the term "solar-powered crime spree."
In conclusion, our findings not only showcase the unexpected places where correlations can crop up but also remind us that statistical analysis can be filled with surprises. This study shines a light on the quirky connections that can emerge from data analysis, demonstrating the far-reaching impact of solar power – from illuminating homes to enigmatically influencing car thefts. As researchers, we're revved up and ready for more unexpected journeys through the colorful spectrum of statistical associations, exploring the unknown with the fervor of scientific adventurers.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

Our results provide a gleaming confirmation of the prior research, reinforcing the notion that there's more to this correlation than meets the eye, or photoreceptor, in this case. The statistical evidence for the correlation coefficient of 0.9438353 may shine so brightly that you need sunglasses! The sun's influence on car theft rates in Montana seems to be as potent as its effect on sunburns – undeniable and potentially troublesome.

The vivid correlation between motor vehicle thefts and solar power generated signifies a connection that's as strong as a solar storm, sparking new considerations for both the scientific and law enforcement communities. Much like how a solar eclipse briefly obscures the sun, our study has brought to light a previously hidden link between these seemingly unrelated variables. It's as if the solar panels are acting as beacons for car thieves, casting a light (or shadow) on the potential influence of renewable energy sources on criminal activity.

When we look back on the literature review, the findings of Smith, Doe, and Jones seem to glow even brighter in light of our results. Smith and Doe's work on "Sunlight on Crime" might just turn out to be more than just a clever title. Furthermore, Jones' investigation into the "Solar-Powered Crime Wave" has received a burst of validation from our analysis. As it turns out, the sun might not only be powering our homes; it could also be fueling some dubious activities on the roads of Montana. And let's not forget the musings of Lightfinger in "The Sunshine Heist," as it now seems there might be a kernel of truth in that whimsical narrative after all. The memes and popular culture references, while seemingly frivolous at the time, have become part of the fabric of our understanding of this compelling correlation.

In a world where correlations can sometimes appear as chaotic as a meteor shower, our findings emerge as a beacon of statistical stability, shedding light on an unexpected relationship. Our study serves as a reminder that science, like solar power, can be full of surprises. As we continue to unravel the mysteries of statistical associations, we eagerly anticipate the bright and uncharted territories that await us on this scientific journey.


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 Motor vehicle thefts in Montana and Solar power generated in Guinea. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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]]
"Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea"

[[ABSTRACT]]
In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

[[INTRDUCTION]]
Buckle up, folks, because we're about to take a joyride through the dazzling intersection of motor vehicle thefts in Montana and solar power generated in Guinea. It's not every day that the worlds of crime and renewable energy collide, but here we are, revving our engines and ready to explore this unexpected correlation.
As researchers, we're used to delving into the depths of data, sifting through numbers like treasure hunters in a sea of spreadsheets. But every now and then, we stumble upon a statistical gem that leaves us scratching our heads and wondering, "How on earth did these two variables end up on the same road?"
Our journey begins with the simple realization that sometimes, correlation is stranger than fiction. Who would have thought that the amount of solar power harnessed in Guinea could be linked, however strangely, to the number of car thefts happening in the wide-open spaces of Montana? It's like discovering a cosmic connection between the sun and sticky-fingered bandits – a real "daylight robbery," if you will.
But before we dive into the nitty-gritty of our findings, let's pause for a moment to appreciate the sheer serendipity of this discovery. It's as if the universe decided to play a game of celestial roulette, spinning the wheel of statistical fate and landing on a pairing that nobody saw coming. We couldn't help but feel a sense of awe at the strange dance of variables and the curious ways in which they can twirl around each other in the vast scientific ballroom.
So, as we buckle our seatbelts and embark on this wild adventure, let's remember that in the world of research, surprises lurk around every corner. Whether it's solar-powered sleights of hand or thieving tendencies under the big sky, we're in for a ride that's bound to leave us both scratching our heads and beaming with the joy of discovery. After all, who said science couldn't have a little fun along the way?

[[RESULTS]]
# Results
In our data analysis, we found a positively glaring correlation between motor vehicle thefts in Montana and solar power generated in Guinea, with a correlation coefficient of 0.9438353 and an r-squared of 0.8908251, both with p-values less than 0.01. This correlation brings a whole new meaning to the concept of "hot wheels," as it seems that the sun's energy can fuel both cars and statistical relationships. It's as though the solar panels are soaking up not just photons, but also some unexpected criminal energy.
Now, our one and only figure, Fig. 1, provides a visual representation of this solar-powered correlation. You might expect a scatterplot of car thefts and solar power to look like a collision of worlds, but behold! The graph reveals a surprisingly smooth relationship, as if the sun's rays are shining down on the path of car thefts, guiding them toward statistical significance. Who knew that statistical analysis could have such a sunny side?
The strength of this correlation suggests that there may be some underlying connection between these two seemingly disparate variables. Perhaps the solar panels are inadvertently beaming signals that attract car thieves, or maybe the energy from the sun is just too irresistible for both vehicles and larcenous intentions. Whatever the reason, this unexpected relationship gives new meaning to the term "solar-powered crime spree."
In conclusion, our findings not only showcase the unexpected places where correlations can crop up but also remind us that statistical analysis can be filled with surprises. This study shines a light on the quirky connections that can emerge from data analysis, demonstrating the far-reaching impact of solar power – from illuminating homes to enigmatically influencing car thefts. As researchers, we're revved up and ready for more unexpected journeys through the colorful spectrum of statistical associations, exploring the unknown with the fervor of scientific adventurers.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

In conclusion, it's clear that the sun isn't just stealing the spotlight in the solar power industry; it's also casting a suspicious glow on the world of car thefts! Our findings not only drive home the point that statistical correlations can be as surprising as finding a solar-powered getaway car, but they also highlight the need for further investigation into the sunny side of crime. As we close this chapter on the solar-powered theft caper, we can't help but chuckle at the idea of a "sun-drenched heist" and marvel at the outlandish places where research can take us. With the dazzling correlation coefficient and the stolen r-squared, we've certainly uncovered a statistical gem that will keep us grinning like Cheshire cats for years to come.

But as we park our data analysis in the garage of academic inquiry, it's time to declare that no more research is needed in this area. After all, we've already basked in the glow of statistical discovery and reveled in the unexpected connection between motor vehicle thefts in Montana and solar power generated in Guinea. It seems that this strange and delightful correlation will remain an unsolved mystery, leaving us with a fittingly enigmatic and ever-so-slightly ridiculous final note. Keep on shining, scientific adventurers!


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 Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Eclectic Solar Criminology


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 Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Solar Crime Prevention


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 Sun-Powered Theft: A Bright Spot in the Correlation Between Motor Vehicle Thefts in Montana and Solar Power Generated in Guinea with an abstract of In this study, we shed light on the curious correlation between motor vehicle thefts in Montana and solar power generated in Guinea. With data sourced from the FBI Criminal Justice Information Services and the Energy Information Administration, we discovered a striking correlation coefficient of 0.9438353 and p < 0.01 for the period from 2009 to 2021. The results not only illuminate the link between these seemingly unrelated phenomena but also provide a shining example of the unexpected connections that can arise in research. Join us as we embark on a journey through the solar-powered highways of statistical analysis, where the theft of the spotlight takes on a whole new meaning.

ChatGPT:

Motor vehicle thefts, Montana, solar power, Guinea, correlation coefficient, FBI Criminal Justice Information Services, Energy Information Administration, statistical analysis, unexpected connections, solar-powered highways

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



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Data details

Motor vehicle thefts in Montana
Detailed data title: The motor vehicle theft rate per 100,000 residents in Montana
Source: FBI Criminal Justice Information Services
See what else correlates with Motor vehicle thefts in Montana

Solar power generated in Guinea
Detailed data title: Total solar power generated in Guinea in billion kWh
Source: Energy Information Administration
See what else correlates with Solar power generated in Guinea

Correlation r = 0.9438353 (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 = 0.8908251 (Coefficient of determination)
This means 89.1% of the change in the one variable (i.e., Solar power generated in Guinea) is predictable based on the change in the other (i.e., Motor vehicle thefts in Montana) over the 13 years from 2009 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.3E-6. 0.0000012651709833276652000000
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 0.00013% of random cases. Said differently, if you correlated 790,407 random variables You don't actually need 790 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 12 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 12 because we have two variables measured over a period of 13 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.

[ 0.82, 0.98 ] 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.
2009201020112012201320142015201620172018201920202021
Motor vehicle thefts in Montana (Motor Vehicle Theft rate)165.3156.5145.2168.9185.3201.3234.8266246.7265.6225.6247.6274.7
Solar power generated in Guinea (Billion kWh)0.00090.00090.00090.00090.0050.0050.0210.0210.0210.0210.0210.0210.021




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.
  4. 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.




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([165.3,156.5,145.2,168.9,185.3,201.3,234.8,266,246.7,265.6,225.6,247.6,274.7,])
array_2 = np.array([0.0009,0.0009,0.0009,0.0009,0.005,0.005,0.021,0.021,0.021,0.021,0.021,0.021,0.021,])
array_1_name = "Motor vehicle thefts in Montana"
array_2_name = "Solar power generated in Guinea"

# 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 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: 1117 · Black Variable ID: 20145 · Red Variable ID: 23711
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