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AI explanation
As butter consumption increased, so did the average body mass index. This led to a higher demand for comfortable seating. The additional weight strained the infrastructure, causing a cascade of power outages and ultimately leading to the shutdown of global permanent nuclear reactors. The world learned the hard way that too much butter really can bring everything to a grinding halt.
Model: dalle-3
Prompt: Prompt: Generate an image depicting a surreal grocery store scene where people are spreading creamy butter on their bread while shopping. In the background, show various countries around the world simultaneously shutting down their permanent nuclear reactors as the energy transition to cleaner sources gains momentum. Ensure that the grocery store setting and people are clear and distinct from the background scene of nuclear reactors being shutdown. The style should emphasize surreal and dreamlike elements, with an overall sense of harmony and transition. 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: Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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: Symbolism Brutalism Concept art Pop art Surrealism
ChatGPT: Surrealism
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns together. Keep the description simple.
ChatGPT: In a grocery store, people are spreading creamy butter on their bread as they shop. Meanwhile, in the background, countries around the world are seen shutting down their permanent nuclear reactors, as the energy transition to cleaner sources gains momentum.
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: [ Surrealism ] and depicting this scene: In a grocery store, people are spreading creamy butter on their bread as they shop. Meanwhile, in the background, countries around the world are seen shutting down their permanent nuclear reactors, as the energy transition to cleaner sources gains momentum. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image depicting a surreal grocery store scene where people are spreading creamy butter on their bread while shopping. In the background, show various countries around the world simultaneously shutting down their permanent nuclear reactors as the energy transition to cleaner sources gains momentum. Ensure that the grocery store setting and people are clear and distinct from the background scene of nuclear reactors being shutdown. The style should emphasize surreal and dreamlike elements, with an overall sense of harmony and transition.
*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.
I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in Butter consumption caused Global Permanent Nuclear Reactor Shutdowns to increase.
AI academic paper
 |
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns The International Journal of Dairy-Based Catastrophes Jan 2024 Reminder: This paper is AI-generated. Not real! |
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. Make lots of jokes, goofy observations, and puns.
Make the title seem clever.
Your research team used data from USDA and Statista to assess this nagging question. You found a correlation coefficient of 0.5588286 and p < 0.05 for 2005 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]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
-------
Your response should start like this:
[[INTRODUCTION]]
ChatGPT:
[[INTRODUCTION]]
Ah, the paradoxical world of scientific inquiry - where the laws of physics collide with the mysteries of human behavior, and where butter and nuclear reactors find themselves entwined in a tango of statistical significance. As researchers, we are often urged to explore the uncharted territories of knowledge, but who would have thought that our journey would lead us to the buttery gates of gastronomy and the electrifying cores of nuclear power plants?
In our modern epoch, the sizzle of butter in a pan and the hum of nuclear reactors have become ubiquitous in our lives, each playing a distinct role in shaping our world. Yet, the notion that these two seemingly incongruous entities could be connected may initially seem as preposterous as trying to toast a slice of bread using a nuclear reactor. However, as the data speaks for itself, we find ourselves embracing this unlikely partnership with gusto, much like a croissant generously adorned with a layer of butter.
This study aims to unravel the intricate dance between butter consumption and the global panorama of permanent nuclear reactor shutdowns. Utilizing a cornucopia of data sources and statistical analyses, we embarked on a quest to shed light on this cryptic liaison. The allure of the buttery aroma and the formidable power of nuclear energy converged in our investigation, ultimately unveiling a correlation of intriguing proportions.
So, brace yourselves for the scientific journey of a lifetime, as we explore the twists and turns in this enigmatic correlation, and perhaps uncover the real reason behind nuclear reactor shutdowns - who would have thought that the culprit might just be lurking in the dairy aisle? Grab your lab coats and butter knives, for we are about to embark on an expedition that promises to be as rich and complex as a perfectly whipped batch of buttercream.
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.
Here is the title and abstract of the paper:
[[TITLE]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
-------
And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Ah, the paradoxical world of scientific inquiry - where the laws of physics collide with the mysteries of human behavior, and where butter and nuclear reactors find themselves entwined in a tango of statistical significance. As researchers, we are often urged to explore the uncharted territories of knowledge, but who would have thought that our journey would lead us to the buttery gates of gastronomy and the electrifying cores of nuclear power plants?
In our modern epoch, the sizzle of butter in a pan and the hum of nuclear reactors have become ubiquitous in our lives, each playing a distinct role in shaping our world. Yet, the notion that these two seemingly incongruous entities could be connected may initially seem as preposterous as trying to toast a slice of bread using a nuclear reactor. However, as the data speaks for itself, we find ourselves embracing this unlikely partnership with gusto, much like a croissant generously adorned with a layer of butter.
This study aims to unravel the intricate dance between butter consumption and the global panorama of permanent nuclear reactor shutdowns. Utilizing a cornucopia of data sources and statistical analyses, we embarked on a quest to shed light on this cryptic liaison. The allure of the buttery aroma and the formidable power of nuclear energy converged in our investigation, ultimately unveiling a correlation of intriguing proportions.
So, brace yourselves for the scientific journey of a lifetime, as we explore the twists and turns in this enigmatic correlation, and perhaps uncover the real reason behind nuclear reactor shutdowns - who would have thought that the culprit might just be lurking in the dairy aisle? Grab your lab coats and butter knives, for we are about to embark on an expedition that promises to be as rich and complex as a perfectly whipped batch of buttercream.
-------
Your response should start like this:
[[LITERATURE REVIEW]]
ChatGPT:
[[LITERATURE REVIEW]]
The unfolding phenomenon of the connection between butter consumption and permanent nuclear reactor shutdowns has commanded the attention of researchers across various disciplines. Smith (2017) undertook a comprehensive analysis of dietary patterns and their potential impact on industrial infrastructure, although their focus was primarily on the influence of cheese consumption on transportation networks. However, their work provides a framework for understanding the broader implications of food intake on complex systems.
Doe (2019) delved into the intricate web of global energy trends and unearthed some unexpected patterns in the proximity of dairy farms to nuclear facilities. Their findings hinted at a potential geographical link between butter production and the incidence of nuclear reactor issues, laying a foundation for further exploration.
Jones (2020) contributed to the discourse by examining the historical fluctuations in butter supply and demand, drawing parallels to the ebbs and flows of nuclear power generation. Their historical perspective sheds light on long-term shifts in butter consumption and its implications for the stability of nuclear facilities, offering intriguing avenues for investigation.
Turning to broader literature on food and energy, "The Omnivore's Dilemma" by Michael Pollan and "Diet for a Small Planet" by Frances Moore Lappé provide thought-provoking insights into the interconnectedness of food systems and societal structures, hinting at the potential for unforeseen ripple effects of dietary choices on industrial operations.
In a more speculative realm, the works of fiction such as "Butter: A Rich History" by Elaine Khosrova and "Nuclear Jellyfish" by Tim Dorsey offer tantalizing narratives that, while not directly related to our research, remind us that truth can be stranger than fiction, especially when butter and nuclear reactors are involved.
Venturing into more unconventional sources, anecdotal evidence from the backs of shampoo bottles suggests an interesting but highly questionable link between hair care products and nuclear physics. While such sources may be met with skepticism in academic circles, they serve as a reminder of the need to critically assess the validity of purported correlations and the importance of rigorous scientific inquiry.
As we wade through this curious amalgamation of scholarship, speculation, and sheer whimsy, we are reminded of the inherent unpredictability of scientific exploration. The buttery path we tread is fraught with uncertainty, but also filled with the promise of uncovering truths hidden in the most unexpected places.
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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 USDA and Statista . You used data from 2005 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]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
[[INTRODUCTION]]
Ah, the paradoxical world of scientific inquiry - where the laws of physics collide with the mysteries of human behavior, and where butter and nuclear reactors find themselves entwined in a tango of statistical significance. As researchers, we are often urged to explore the uncharted territories of knowledge, but who would have thought that our journey would lead us to the buttery gates of gastronomy and the electrifying cores of nuclear power plants?
In our modern epoch, the sizzle of butter in a pan and the hum of nuclear reactors have become ubiquitous in our lives, each playing a distinct role in shaping our world. Yet, the notion that these two seemingly incongruous entities could be connected may initially seem as preposterous as trying to toast a slice of bread using a nuclear reactor. However, as the data speaks for itself, we find ourselves embracing this unlikely partnership with gusto, much like a croissant generously adorned with a layer of butter.
This study aims to unravel the intricate dance between butter consumption and the global panorama of permanent nuclear reactor shutdowns. Utilizing a cornucopia of data sources and statistical analyses, we embarked on a quest to shed light on this cryptic liaison. The allure of the buttery aroma and the formidable power of nuclear energy converged in our investigation, ultimately unveiling a correlation of intriguing proportions.
So, brace yourselves for the scientific journey of a lifetime, as we explore the twists and turns in this enigmatic correlation, and perhaps uncover the real reason behind nuclear reactor shutdowns - who would have thought that the culprit might just be lurking in the dairy aisle? Grab your lab coats and butter knives, for we are about to embark on an expedition that promises to be as rich and complex as a perfectly whipped batch of buttercream.
-------
Your response should start like this:
[[METHODOLOGY]]
ChatGPT:
[[METHODOLOGY]]
To explore the elusive connection between butter consumption and global permanent nuclear reactor shutdowns, we meticulously designed a research methodology that encapsulated both the culinary nuances of butter and the formidable realm of nuclear energy. Our quest for understanding this unlikely relationship resembled the delicate art of balancing a soufflé while juggling nuclear isotopes - a delicate dance indeed.
Data Collection:
Our research team scoured the digital expanse, navigating through a labyrinth of databases and repositories to collect comprehensive data on butter consumption and nuclear reactor shutdowns. The USDA and Statista emerged as our primary sources, offering a delectable feast of information from the years 2005 to 2021. We opted for a nozzle-to-nozzle approach, extracting information with an enthusiasm akin to a butter churner and a nuclear reactor operator collaborating on an enigmatic recipe.
Butter Consumption Variables:
The first step in our labyrinthine approach involved quantifying butter consumption across various countries. Utilizing the rich repository of data from the USDA, we delved into per capita butter consumption, recognizing that this variable could potentially hold the creamy key to understanding the intricate dance of statistics and saturated fats.
Nuclear Reactor Shutdown Variables:
Navigating the formidable domain of nuclear reactors required a deft touch and a keen eye for detail. We meticulously cataloged the global landscape of permanent nuclear reactor shutdowns, capturing the sobering moments when these energy perpetuators bid their final farewell to the grid. Our data acquisition involved navigating through regulatory reports, international databases, and even the occasional nod from the realms of nuclear physics.
Statistical Analysis:
With our data carefully corralled, we employed an arsenal of statistical techniques to untangle the ethereal connection of butter and nuclear reactors. Regression analyses danced across our screens, adorned with butter churns and nuclear symbols, showcasing the intricate relationships between the variables. The correlation coefficient emerged as our celestial compass, guiding us through this whimsical odyssey, while the p-value stood as a sentinel of statistical significance, guarding our findings with the tenacity of an alert nuclear reactor operator.
Qualitative Inquiries:
Amidst the sea of quantitative analyses, we did not shy away from qualitative inquiries. Conversations with experts in the fields of gastronomy and nuclear energy provided a flavorful garnish to our research, offering insights that were as refreshing as a pat of butter melting on a warm slice of bread. Their perspectives added a dash of depth to our narrative - a point of flavor elevation, if you will.
Limitations:
As with any scientific pursuit, our methodology was not immune to limitations. The complexity of variables, the dynamic nature of global butter consumption, and the heterogeneous contexts of nuclear reactor shutdowns posed formidable challenges. However, much like a persistent chef refining a recipe, we navigated through these limitations with vigor, striving to present a palatable concoction of scientific inquiry.
Overall, our methodology aimed to combine the rigors of scientific inquiry with the zest of an unexpected juxtaposition. The buttery realm of gastronomy met the electrifying domain of nuclear energy, and our methodology stood as a testament to the whimsical yet rigorous pursuit of knowledge.
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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 USDA and Statista .
For the time period 2005 to 2021, you found a correlation 0.5588286, r-squared of 0.3122894, and p < 0.05.
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]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
-------
And here is the methodology section that led to this result:
[[METHODOLOGY]]
Ah, the paradoxical world of scientific inquiry - where the laws of physics collide with the mysteries of human behavior, and where butter and nuclear reactors find themselves entwined in a tango of statistical significance. As researchers, we are often urged to explore the uncharted territories of knowledge, but who would have thought that our journey would lead us to the buttery gates of gastronomy and the electrifying cores of nuclear power plants?
In our modern epoch, the sizzle of butter in a pan and the hum of nuclear reactors have become ubiquitous in our lives, each playing a distinct role in shaping our world. Yet, the notion that these two seemingly incongruous entities could be connected may initially seem as preposterous as trying to toast a slice of bread using a nuclear reactor. However, as the data speaks for itself, we find ourselves embracing this unlikely partnership with gusto, much like a croissant generously adorned with a layer of butter.
This study aims to unravel the intricate dance between butter consumption and the global panorama of permanent nuclear reactor shutdowns. Utilizing a cornucopia of data sources and statistical analyses, we embarked on a quest to shed light on this cryptic liaison. The allure of the buttery aroma and the formidable power of nuclear energy converged in our investigation, ultimately unveiling a correlation of intriguing proportions.
So, brace yourselves for the scientific journey of a lifetime, as we explore the twists and turns in this enigmatic correlation, and perhaps uncover the real reason behind nuclear reactor shutdowns - who would have thought that the culprit might just be lurking in the dairy aisle? Grab your lab coats and butter knives, for we are about to embark on an expedition that promises to be as rich and complex as a perfectly whipped batch of buttercream.
-------
Your response should start like this:
[[RESULTS]]
ChatGPT:
**RESULTS**
The statistical analyses yielded a correlation coefficient of 0.5588286, indicating a moderate positive correlation between butter consumption and global permanent nuclear reactor shutdowns for the years 2005 to 2021. This unexpected finding has certainly spread a layer of intrigue over our scientific palate, as the connection between culinary habits and nuclear energy infrastructure seems to have melted the boundaries of traditional research boundaries.
We also calculated an r-squared value of 0.3122894, suggesting that approximately 31.23% of the variance in global permanent nuclear reactor shutdowns can be explained by variations in butter consumption. This illuminating statistic may leave us pondering whether the phrase “spread too thin” holds an unforeseen double entendre – is it referring to the application of butter on toast or the limitations of nuclear reactor durability?
Furthermore, the p-value of less than 0.05 attests to the statistical significance of the observed correlation. This means that the likelihood of obtaining such a result by chance is as rare as encountering a unicorn grazing in the proximity of a nuclear reactor. The significant p-value serves as a resounding confirmation that this association between butter and nuclear reactors is not merely a whimsical flight of fancy, but a bona fide scientific observation that defies conventional logic.
In Fig. 1, we present a scatterplot displaying the robust relationship between butter consumption and global permanent nuclear reactor shutdowns. The buttery swirl of data points converges to reveal a striking pattern that tantalizingly tickles the palate of curiosity. It beckons us to delve deeper into the tantalizing world of dairy products and nuclear energy, where each datapoint serves as a delectable morsel of insight into this quirky correlation.
In light of these findings, the scientific community is nudged to acknowledge the unpredictable links that may underpin our global systems. As we ponder the implications, we are compelled to adopt a new perspective - one that appreciates the unlikely interplay between the culinary and the cosmic, the dairy and the atomic, the margarine and the uranium. We anticipate that this revelation will churn the minds of scholars and provoke a spirited conversation on the uncharted frontiers of interdisciplinary research, where the buttery road may lead to the nuclear reactor shutdown zone.
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
[[LITERATURE REVIEW]]
The unfolding phenomenon of the connection between butter consumption and permanent nuclear reactor shutdowns has commanded the attention of researchers across various disciplines. Smith (2017) undertook a comprehensive analysis of dietary patterns and their potential impact on industrial infrastructure, although their focus was primarily on the influence of cheese consumption on transportation networks. However, their work provides a framework for understanding the broader implications of food intake on complex systems.
Doe (2019) delved into the intricate web of global energy trends and unearthed some unexpected patterns in the proximity of dairy farms to nuclear facilities. Their findings hinted at a potential geographical link between butter production and the incidence of nuclear reactor issues, laying a foundation for further exploration.
Jones (2020) contributed to the discourse by examining the historical fluctuations in butter supply and demand, drawing parallels to the ebbs and flows of nuclear power generation. Their historical perspective sheds light on long-term shifts in butter consumption and its implications for the stability of nuclear facilities, offering intriguing avenues for investigation.
Turning to broader literature on food and energy, "The Omnivore's Dilemma" by Michael Pollan and "Diet for a Small Planet" by Frances Moore Lappé provide thought-provoking insights into the interconnectedness of food systems and societal structures, hinting at the potential for unforeseen ripple effects of dietary choices on industrial operations.
In a more speculative realm, the works of fiction such as "Butter: A Rich History" by Elaine Khosrova and "Nuclear Jellyfish" by Tim Dorsey offer tantalizing narratives that, while not directly related to our research, remind us that truth can be stranger than fiction, especially when butter and nuclear reactors are involved.
Venturing into more unconventional sources, anecdotal evidence from the backs of shampoo bottles suggests an interesting but highly questionable link between hair care products and nuclear physics. While such sources may be met with skepticism in academic circles, they serve as a reminder of the need to critically assess the validity of purported correlations and the importance of rigorous scientific inquiry.
As we wade through this curious amalgamation of scholarship, speculation, and sheer whimsy, we are reminded of the inherent unpredictability of scientific exploration. The buttery path we tread is fraught with uncertainty, but also filled with the promise of uncovering truths hidden in the most unexpected places.
[[RESULTS]]
The statistical analyses yielded a correlation coefficient of 0.5588286, indicating a moderate positive correlation between butter consumption and global permanent nuclear reactor shutdowns for the years 2005 to 2021. This unexpected finding has certainly spread a layer of intrigue over our scientific palate, as the connection between culinary habits and nuclear energy infrastructure seems to have melted the boundaries of traditional research boundaries.
We also calculated an r-squared value of 0.3122894, suggesting that approximately 31.23% of the variance in global permanent nuclear reactor shutdowns can be explained by variations in butter consumption. This illuminating statistic may leave us pondering whether the phrase “spread too thin” holds an unforeseen double entendre – is it referring to the application of butter on toast or the limitations of nuclear reactor durability?
Furthermore, the p-value of less than 0.05 attests to the statistical significance of the observed correlation. This means that the likelihood of obtaining such a result by chance is as rare as encountering a unicorn grazing in the proximity of a nuclear reactor. The significant p-value serves as a resounding confirmation that this association between butter and nuclear reactors is not merely a whimsical flight of fancy, but a bona fide scientific observation that defies conventional logic.
In Fig. 1, we present a scatterplot displaying the robust relationship between butter consumption and global permanent nuclear reactor shutdowns. The buttery swirl of data points converges to reveal a striking pattern that tantalizingly tickles the palate of curiosity. It beckons us to delve deeper into the tantalizing world of dairy products and nuclear energy, where each datapoint serves as a delectable morsel of insight into this quirky correlation.
In light of these findings, the scientific community is nudged to acknowledge the unpredictable links that may underpin our global systems. As we ponder the implications, we are compelled to adopt a new perspective - one that appreciates the unlikely interplay between the culinary and the cosmic, the dairy and the atomic, the margarine and the uranium. We anticipate that this revelation will churn the minds of scholars and provoke a spirited conversation on the uncharted frontiers of interdisciplinary research, where the buttery road may lead to the nuclear reactor shutdown zone.
-------
Your response should start like this:
[[DISCUSSION]]
ChatGPT:
[[DISCUSSION]]
The confluence of butter consumption and global permanent nuclear reactor shutdowns has churned up a vortex of puckish perplexity. As we saunter through this fantastical linking of dairy and atomic worlds, we must ponder the quixotic quirks of fate that have led us down this whimsical avenue of research. Our findings not only validate the prior research but also spread an extra dollop of bewilderment on the croissant of scholarly discourse.
Smith’s (2017) prescient exploration of dietary patterns and industrial infrastructure, although focused on cheese, lays the metaphorical cheese platter for our buttery revelation. Just as one cannot resist a perfectly aged Gouda, the data irresistibly points to a statistical connection between butter and nuclear reactors, leaving us all a bit cheesy-grinned.
Doe’s (2019) examination of geographic proximity between dairy farms and nuclear facilities, ostensibly an udderly serious inquiry, echoes our own findings. The spatial dance of bovines and uranium speaks to a cosmic ballet of elements, where buttery atoms and nuclear churn intertwine in a cosmic minuet.
Jones’s (2020) historical buttery perspective offers a pat of wisdom, as the ebbs and flows of butter consumption mimic the undulating saga of nuclear stability. Historically, as butter satiates our taste buds, it seems to unsettle the steady hum of nuclear reactors, proving that the pen is indeed butter than the nuclear sword.
Our study’s correlation coefficient of 0.5588286 not only raises a toast but also spreads a thin layer of wonderment over the statistical palate. The r-squared value of 0.3122894, approximately 31.23% of the variance in reactor shutdowns, leaves us wistfully pondering the dual meaning of “spread too thin,” an enigmatic crossroads of toast and nuclear reactor fatigue.
The p-value of less than 0.05 lauds the rarity of this connection, as rare as coming across a unicorn grazing in the proximity of a nuclear reactor – a true statistical chimera worthy of scientific bedazzlement.
In Fig. 1, the scatterplot tantalizes like a buttery crumpet, inviting us to nibble at the data morsels that weave this conundrum. The scientific community must now recognize the capricious interplay of the culinary and the cosmic, for the buttery road may indeed lead to unexpected nuclear reactor shutdowns.
As we ponder the interstellar ballet of butter molecules and uranium isotopes, we must acknowledge the delightful caprice of the scientific enterprise. Just as one spreads butter on toast, our research has played a crucial role in spreading the joy of discovery, serving as a testament to the unforeseen whimsy that undergirds even the most seemingly staid and serious scientific pursuits.
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 Butter consumption and Global Permanent Nuclear Reactor Shutdowns. 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]]
Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
[[ABSTRACT]]
Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
[[INTRDUCTION]]
Ah, the paradoxical world of scientific inquiry - where the laws of physics collide with the mysteries of human behavior, and where butter and nuclear reactors find themselves entwined in a tango of statistical significance. As researchers, we are often urged to explore the uncharted territories of knowledge, but who would have thought that our journey would lead us to the buttery gates of gastronomy and the electrifying cores of nuclear power plants?
In our modern epoch, the sizzle of butter in a pan and the hum of nuclear reactors have become ubiquitous in our lives, each playing a distinct role in shaping our world. Yet, the notion that these two seemingly incongruous entities could be connected may initially seem as preposterous as trying to toast a slice of bread using a nuclear reactor. However, as the data speaks for itself, we find ourselves embracing this unlikely partnership with gusto, much like a croissant generously adorned with a layer of butter.
This study aims to unravel the intricate dance between butter consumption and the global panorama of permanent nuclear reactor shutdowns. Utilizing a cornucopia of data sources and statistical analyses, we embarked on a quest to shed light on this cryptic liaison. The allure of the buttery aroma and the formidable power of nuclear energy converged in our investigation, ultimately unveiling a correlation of intriguing proportions.
So, brace yourselves for the scientific journey of a lifetime, as we explore the twists and turns in this enigmatic correlation, and perhaps uncover the real reason behind nuclear reactor shutdowns - who would have thought that the culprit might just be lurking in the dairy aisle? Grab your lab coats and butter knives, for we are about to embark on an expedition that promises to be as rich and complex as a perfectly whipped batch of buttercream.
[[RESULTS]]
The statistical analyses yielded a correlation coefficient of 0.5588286, indicating a moderate positive correlation between butter consumption and global permanent nuclear reactor shutdowns for the years 2005 to 2021. This unexpected finding has certainly spread a layer of intrigue over our scientific palate, as the connection between culinary habits and nuclear energy infrastructure seems to have melted the boundaries of traditional research boundaries.
We also calculated an r-squared value of 0.3122894, suggesting that approximately 31.23% of the variance in global permanent nuclear reactor shutdowns can be explained by variations in butter consumption. This illuminating statistic may leave us pondering whether the phrase “spread too thin” holds an unforeseen double entendre – is it referring to the application of butter on toast or the limitations of nuclear reactor durability?
Furthermore, the p-value of less than 0.05 attests to the statistical significance of the observed correlation. This means that the likelihood of obtaining such a result by chance is as rare as encountering a unicorn grazing in the proximity of a nuclear reactor. The significant p-value serves as a resounding confirmation that this association between butter and nuclear reactors is not merely a whimsical flight of fancy, but a bona fide scientific observation that defies conventional logic.
In Fig. 1, we present a scatterplot displaying the robust relationship between butter consumption and global permanent nuclear reactor shutdowns. The buttery swirl of data points converges to reveal a striking pattern that tantalizingly tickles the palate of curiosity. It beckons us to delve deeper into the tantalizing world of dairy products and nuclear energy, where each datapoint serves as a delectable morsel of insight into this quirky correlation.
In light of these findings, the scientific community is nudged to acknowledge the unpredictable links that may underpin our global systems. As we ponder the implications, we are compelled to adopt a new perspective - one that appreciates the unlikely interplay between the culinary and the cosmic, the dairy and the atomic, the margarine and the uranium. We anticipate that this revelation will churn the minds of scholars and provoke a spirited conversation on the uncharted frontiers of interdisciplinary research, where the buttery road may lead to the nuclear reactor shutdown zone.
-------
Your response should start like this:
[[CONCLUSION]]
ChatGPT:
[[CONCLUSION]]
In conclusion, our investigation into the perplexing nexus of butter consumption and global permanent nuclear reactor shutdowns has whisked us away on a truly unexpected journey through the annals of scientific exploration. The moderate positive correlation and the statistically significant p-value we unearthed have certainly left us feeling like we've stumbled upon a gastronomic particle colliding with a nuclear flavor profile in the culinary cosmos.
The r-squared value of 0.3122894 invites us to ponder whether we're indeed spread too thin in our understanding of the variables at play, much like trying to butter an entire loaf of bread with just one pat. It seems that the phrase "buttering us up" has taken on a whole new meaning, as we grapple with the implications of butter's unforeseen influence on the fate of nuclear reactors worldwide.
The scatterplot, akin to a splendidly decorated cake, revealed the delectable marriage of butter consumption and nuclear reactor shutdowns, captivating our imaginations and sparking a conundrum worthy of the most curious scientific palates.
It appears that this study has churned up more questions than answers, leaving us in a buttery state of suspended disbelief. But alas, while the temptation to explore this buttery-curio continuum further is strong, we must assert that no further research is needed in this truly whimsical and peculiar area of study. After all, it's not every day that researchers stumble upon correlations that are as surprising as a cow moonlighting as a nuclear physicist. So, as we bid adieu to this delightfully absurd scientific escapade, let us savor the richness of its findings and embrace the unexpected tangents that research can sometimes take us on.
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 Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns. Respond only with the name of a fictional academic journal.
ChatGPT:
The International Journal of Dairy-Based Catastrophes
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 Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns. Respond only with the name of a fictional organization.
ChatGPT:
The Institute for Advanced Dairy Studies
Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns with an abstract of Amidst the many scientific mysteries that captivate the human mind, one peculiar correlation has emerged from the depths of statistical analysis – the surprising link between butter consumption and global permanent nuclear reactor shutdowns. In this scholarly pursuit, we endeavored to unravel the enigmatic ties binding these seemingly disparate domains. Utilizing comprehensive data from the USDA and Statista, our research tactfully navigated the epicurean landscape of butter intake and the austere realm of nuclear power, unearthing a correlation coefficient of 0.5588286 and a statistically significant p-value of less than 0.05 for the years 2005 to 2021. Our findings evoke a buttery aroma of bewilderment, precipitating a discerning inquiry into the potential causative mechanisms underpinning this unlikely association. This study opens the door to a whimsical yet thought-provoking exploration of the buttery-curio continuum and its impact on the world's nuclear energy infrastructure.
ChatGPT:
butter consumption, nuclear reactor shutdowns, correlation analysis, statistical analysis, USDA data, Statista data, global butter intake, global nuclear energy infrastructure
*There is a bunch of Python happening behind the scenes to turn this prompt sequence into a PDF.
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Data details
Butter consumptionDetailed data title: Per capita consumption of Butter in the US
Source: USDA
See what else correlates with Butter consumption
Global Permanent Nuclear Reactor Shutdowns
Source: Statista
See what else correlates with Global Permanent Nuclear Reactor Shutdowns
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 = 0.3122894 (Coefficient of determination)
This means 31.2% of the change in the one variable (i.e., Global Permanent Nuclear Reactor Shutdowns) is predictable based on the change in the other (i.e., Butter consumption) over the 17 years from 2005 through 2021.
p < 0.05, which statistically significant(Null hypothesis significance test)
The p-value is 0.02. 0.0197072185075134000000000000
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 0.56 in 2% of random cases. Said differently, if you correlated 51 random variables Which I absolutely did.
with the same 16 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 16 because we have two variables measured over a period of 17 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.
[ 0.11, 0.82 ] 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.
| 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | |
| Butter consumption (Pounds per person) | 4.5 | 4.7 | 4.7 | 5 | 5 | 4.9 | 5.4 | 5.5 | 5.5 | 5.5 | 5.6 | 5.7 | 5.7 | 6 | 6.2 | 6.3 | 6.5 |
| Global Permanent Nuclear Reactor Shutdowns (Shutdowns) | 2 | 8 | 1 | 2 | 3 | 1 | 13 | 3 | 6 | 1 | 7 | 4 | 5 | 7 | 13 | 6 | 10 |
Why this works
- Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
- Lack of causal connection: There is probably
Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied. - Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple
Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
p-value calculation does not take this into account, so mathematically it appears less probable than it really is. - 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([4.5,4.7,4.7,5,5,4.9,5.4,5.5,5.5,5.5,5.6,5.7,5.7,6,6.2,6.3,6.5,])
array_2 = np.array([2,8,1,2,3,1,13,3,6,1,7,4,5,7,13,6,10,])
array_1_name = "Butter consumption"
array_2_name = "Global Permanent Nuclear Reactor Shutdowns"
# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)
# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)Reuseable content
You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.
For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."
When spoken, my last name is pronounced "vegan," like I don't eat meat.
Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.
Download images for these variables:
- High resolution line chart
The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.
If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.
Alternatively you can use a tool like Inkscape. - High resolution line chart, optimized for mobile
- Alternative high resolution line chart
- Scatterplot
- Portable line chart (png)
- Portable line chart (png), optimized for mobile
- Line chart for only Butter consumption
- Line chart for only Global Permanent Nuclear Reactor Shutdowns
- AI-generated correlation image
- The spurious research paper: Spread Thin: The Curious Connection Between Butter Consumption and Global Permanent Nuclear Reactor Shutdowns
Thanks for being the explorer we needed!
Correlation ID: 1631 · Black Variable ID: 557 · Red Variable ID: 308
