Spurious correlation #1,549 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is American cheese consumption and the second variable is Solar power generated in Morocco. The chart goes from 2002 to 2021, and the two variables track closely in value over that time.

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is American cheese consumption and the second variable is Solar power generated in Morocco. The chart goes from 2002 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As American cheese consumption increased, the collective gaseous byproduct from all the cheese-loving individuals somehow wafted its way across the Atlantic to Morocco. Upon reaching the sunny land, this 'cheesy' gas managed to interact with the sunlight in such a whey that it inadvertently boosted the efficiency of solar panels. It’s like the cheese emissions provided a gouda energy source, leading to a provolone increase in solar power generated in Morocco. In reality, these two events are likely completely unrelated and just a coincidental correlation.

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image of a bustling Moroccan marketplace on a sunny day, with a vendor proudly displaying a wheel of glowing American cheese in front of his high-tech, solar-powered stall. The warm sunlight streams through the bustling market, casting vibrant shadows and illuminating the colors of the diverse goods on display, while powering the solar panels that symbolize the intersection of American cheese consumption and solar power in Morocco. 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: American cheese consumption and Solar power generated in Morocco. 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: Cyberpunk a Polaroid photo High-tech Art nouveau Glitch art
ChatGPT: High-tech

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 American cheese consumption and Solar power generated in Morocco together. Keep the description simple.
ChatGPT: In a bustling Moroccan marketplace, a vendor proudly displays a wheel of American cheese in front of his solar-powered stall. The warm sun illuminates the vibrant colors of the marketplace while also powering the solar panels, symbolizing the intersection of American cheese consumption and solar power in Morocco.

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: [ High-tech ] and depicting this scene: In a bustling Moroccan marketplace, a vendor proudly displays a wheel of American cheese in front of his solar-powered stall. The warm sun illuminates the vibrant colors of the marketplace while also powering the solar panels, symbolizing the intersection of American cheese consumption and solar power in Morocco. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a bustling Moroccan marketplace on a sunny day, with a vendor proudly displaying a wheel of glowing American cheese in front of his high-tech, solar-powered stall. The warm sunlight streams through the bustling market, casting vibrant shadows and illuminating the colors of the diverse goods on display, while powering the solar panels that symbolize the intersection of American cheese consumption and solar power in Morocco.

*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.
^{Show prompt for explanation} Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in American cheese consumption caused Solar power generated in Morocco to increase.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)

Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco

Journal of Renewable Energy and Dairy Science

Jan 2024

Reminder: This paper is AI-generated. Not real!

^{Show prompt used to generate this paper} Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.

Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 American cheese consumption and Solar power generated in Morocco. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
"Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco"

[[ABSTRACT]]
This study investigates the curious relationship between American cheese consumption and solar power generation in Morocco, employing data from the USDA and Energy Information Administration. With a correlation coefficient of 0.9120301 and p < 0.01 over the period from 2002 to 2021, our findings suggest a surprisingly strong connection between these seemingly unrelated phenomena.

Analyzing the data, we observed a clear pattern indicating that as American cheese consumption in the United States increased, solar power generation in Morocco experienced a corresponding surge. One might say that the sun isn't the only thing providing energy; American cheese seems to be "whey-ving" its influence from across the Atlantic, "gouda" for thought.

The results of our study provide an opportunity for "grate" advancements in understanding the interconnectedness of global systems and the "power" of dairy products. It also raises the question: could American cheese be the secret ingredient to enhancing solar power technologies? Our findings open up a "brie-lliant" avenue for further exploration in energy economics and international food trade, as well as potential applications in renewable energy policy.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The interplay between dietary choices and renewable energy sources is often overshadowed by more traditional analytical frameworks in economics and energy studies. However, the unexpected yet compelling association between American cheese consumption and solar power generation in Morocco has sparked considerable interest in the academic community, as well as a few cheese-related puns. This inquiry into the potential connection between these disparate domains not only provides a refreshing departure from conventional research topics but also adds a delightful twist to the often serious discourse on global energy dynamics. As the saying goes, "It's not easy being cheesy, but it might just be the key to solar power."
Given the significant role that energy production and consumption play in the global economic landscape, any unanticipated relationships that emerge from empirical analysis are worthy of investigation. In light of the substantial advancements in renewable energy technologies and the growing complexity of international trade patterns, it is essential to embrace an interdisciplinary approach in exploring the interactions between seemingly unrelated phenomena. After all, who would have thought that the creamy delight of American cheese could have a "grater" impact on solar power generation than previously assumed?
The convergence of culinary preferences in the United States and sustainable energy efforts in Morocco serves as a fertile ground for understanding the intricate web of transnational influences. Just as the flavors of American cheese can vary from mild to extra sharp, so too can the effects of its consumption on renewable energy systems. It appears that the intercontinental "whey" in which these phenomena interact is more significant than previously acknowledged, provoking us to contemplate the implications of such a correlation. One might even "brielieve" that an unexpected pair like American cheese and Moroccan solar power is a match made in scientific heaven.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The link between American cheese consumption and solar power generation has been an unexpected area of inquiry, drawing from a diverse set of literature in various fields. In "Smith's" study, the relationship between dairy product consumption and renewable energy sources is examined, providing a foundational understanding of the potential interplay between these disparate factors. Additionally, Doe's analysis of global food trade patterns sheds light on the intricate dynamics that may underpin the observed correlation between American cheese consumption and solar power generation in Morocco.

Straying into the realm of non-fiction, Pollan's exploration of the American food industry and its global impact offers tantalizing insights into the potential influence of American cheese consumption on renewable energy initiatives. Similarly, the comprehensive analysis of sustainable food systems by Lappe delves into the unanticipated connections that may exist between dietary habits and environmental sustainability. These works lay the groundwork for considering the intricate relationship between American cheese consumption and solar power generation, inviting further investigation into this delectable conundrum.

Taking a more imaginative leap, the fiction of Barbara Kingsolver intertwines themes of food production and environmental stewardship, suggesting that the whimsical tendrils of cheese and solar power may indeed intertwine in unsuspected ways. In a similar vein, Amy Tan's evocative depictions of culinary traditions and familial connections prompt reflections on the potential for unexpected influences to transcend geographical boundaries, much like the mysterious pull between American cheese and Moroccan solar power.

As for cinematic inspirations, the "Solar-Powered Cheese Odyssey" provides a lighthearted yet thought-provoking take on the unlikely partnership between American cheese and solar energy. The film presents a comical yet insightful exploration of the potential synergies between food production and renewable energy, resonating with the unconventional intersection observed in our empirical analysis.

"Cheese" Louise, isn't it fascinating how these disparate domains intersect?

Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 American cheese consumption and Solar power generated in Morocco. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from USDA and Energy Information Administration . You used data from 2002 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]]
"Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco"

[[ABSTRACT]]
This study investigates the curious relationship between American cheese consumption and solar power generation in Morocco, employing data from the USDA and Energy Information Administration. With a correlation coefficient of 0.9120301 and p < 0.01 over the period from 2002 to 2021, our findings suggest a surprisingly strong connection between these seemingly unrelated phenomena.

Analyzing the data, we observed a clear pattern indicating that as American cheese consumption in the United States increased, solar power generation in Morocco experienced a corresponding surge. One might say that the sun isn't the only thing providing energy; American cheese seems to be "whey-ving" its influence from across the Atlantic, "gouda" for thought.

The results of our study provide an opportunity for "grate" advancements in understanding the interconnectedness of global systems and the "power" of dairy products. It also raises the question: could American cheese be the secret ingredient to enhancing solar power technologies? Our findings open up a "brie-lliant" avenue for further exploration in energy economics and international food trade, as well as potential applications in renewable energy policy.

[[INTRODUCTION]]
The interplay between dietary choices and renewable energy sources is often overshadowed by more traditional analytical frameworks in economics and energy studies. However, the unexpected yet compelling association between American cheese consumption and solar power generation in Morocco has sparked considerable interest in the academic community, as well as a few cheese-related puns. This inquiry into the potential connection between these disparate domains not only provides a refreshing departure from conventional research topics but also adds a delightful twist to the often serious discourse on global energy dynamics. As the saying goes, "It's not easy being cheesy, but it might just be the key to solar power."
Given the significant role that energy production and consumption play in the global economic landscape, any unanticipated relationships that emerge from empirical analysis are worthy of investigation. In light of the substantial advancements in renewable energy technologies and the growing complexity of international trade patterns, it is essential to embrace an interdisciplinary approach in exploring the interactions between seemingly unrelated phenomena. After all, who would have thought that the creamy delight of American cheese could have a "grater" impact on solar power generation than previously assumed?
The convergence of culinary preferences in the United States and sustainable energy efforts in Morocco serves as a fertile ground for understanding the intricate web of transnational influences. Just as the flavors of American cheese can vary from mild to extra sharp, so too can the effects of its consumption on renewable energy systems. It appears that the intercontinental "whey" in which these phenomena interact is more significant than previously acknowledged, provoking us to contemplate the implications of such a correlation. One might even "brielieve" that an unexpected pair like American cheese and Moroccan solar power is a match made in scientific heaven.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

To investigate the intriguing relationship between American cheese consumption and solar power generation in Morocco, a thorough and methodical approach was essential. The primary data sources for American cheese consumption were the United States Department of Agriculture (USDA) and various cheese industry reports, which were "whey" ahead of the competition in providing comprehensive and "gouda" quality data. These data sources encompassed the period from 2002 to 2021, allowing for a comprehensive examination of cheese consumption trends. In order to obtain solar power generation data for Morocco, the Energy Information Administration was consulted extensively, shedding "light" on the solar energy landscape in the country.

The next step in our methodology involved the development of a unique metric to quantify the relationship between American cheese consumption and solar power generation in Morocco. This involved devising a "cheddar-tastic" index that accounted for seasonal variations, trade dynamics, and global energy market trends. The index was designed to capture the nuanced interplay between these two seemingly unrelated factors, creating a measure that was both "gouda" and "grate" in its ability to reflect their correlated movement over time.

Data analysis began by applying robust time series analysis techniques to the meticulously curated datasets, employing econometric models that were as "sharp" as aged cheddar. Various statistical tests, including cointegration and Granger causality tests, were conducted to ascertain the strength and direction of the relationship between American cheese consumption in the United States and solar power generation in Morocco. Each test was carried out with the utmost precision and rigor, leaving no "whey" for doubt in the validity of our findings.

Furthermore, in order to control for potential confounding variables such as economic growth, technological advancements, and global energy policies, a comprehensive sensitivity analysis was performed. This involved exploring alternative specifications of the statistical models and conducting robustness checks to ensure that the observed correlation between American cheese consumption and solar power generation in Morocco remained "feta"stically consistent across different scenarios. The thoroughness of this approach ensured that our results were as "goat" as they could be.

Lastly, to lend additional credibility to our findings and to account for potential spurious correlations, we sought external validation from experts in the fields of energy economics and dairy product trade. Their "gouda" feedback and "whey" of expertise enriched our understanding of the underlying mechanisms driving the observed relationship, reinforcing the "brie-lliance" of our analytical approach.

In light of our thoroughly conducted methodology, it is safe to say that our research stands as solid as a block of aged cheddar. With each step taken, we ensured that our investigation was as "gouda" as it could be, leaving no "whey" for doubts about the rigor and integrity of our research process. The distinctive cheese-centric twist in our approach added a layer of "grate"ness to the study, making it as intellectually stimulating as it was "brie-lliantly entertaining.

Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 American cheese consumption and Solar power generated in Morocco. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Limit your response to 500 tokens.

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

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

[[TITLE]]
"Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco"

[[ABSTRACT]]
This study investigates the curious relationship between American cheese consumption and solar power generation in Morocco, employing data from the USDA and Energy Information Administration. With a correlation coefficient of 0.9120301 and p < 0.01 over the period from 2002 to 2021, our findings suggest a surprisingly strong connection between these seemingly unrelated phenomena.

Analyzing the data, we observed a clear pattern indicating that as American cheese consumption in the United States increased, solar power generation in Morocco experienced a corresponding surge. One might say that the sun isn't the only thing providing energy; American cheese seems to be "whey-ving" its influence from across the Atlantic, "gouda" for thought.

The results of our study provide an opportunity for "grate" advancements in understanding the interconnectedness of global systems and the "power" of dairy products. It also raises the question: could American cheese be the secret ingredient to enhancing solar power technologies? Our findings open up a "brie-lliant" avenue for further exploration in energy economics and international food trade, as well as potential applications in renewable energy policy.

[[LITERATURE REVIEW]]
The link between American cheese consumption and solar power generation has been an unexpected area of inquiry, drawing from a diverse set of literature in various fields. In "Smith's" study, the relationship between dairy product consumption and renewable energy sources is examined, providing a foundational understanding of the potential interplay between these disparate factors. Additionally, Doe's analysis of global food trade patterns sheds light on the intricate dynamics that may underpin the observed correlation between American cheese consumption and solar power generation in Morocco.
Straying into the realm of non-fiction, Pollan's exploration of the American food industry and its global impact offers tantalizing insights into the potential influence of American cheese consumption on renewable energy initiatives. Similarly, the comprehensive analysis of sustainable food systems by Lappe delves into the unanticipated connections that may exist between dietary habits and environmental sustainability. These works lay the groundwork for considering the intricate relationship between American cheese consumption and solar power generation, inviting further investigation into this delectable conundrum.
Taking a more imaginative leap, the fiction of Barbara Kingsolver intertwines themes of food production and environmental stewardship, suggesting that the whimsical tendrils of cheese and solar power may indeed intertwine in unsuspected ways. In a similar vein, Amy Tan's evocative depictions of culinary traditions and familial connections prompt reflections on the potential for unexpected influences to transcend geographical boundaries, much like the mysterious pull between American cheese and Moroccan solar power.
As for cinematic inspirations, the "Solar-Powered Cheese Odyssey" provides a lighthearted yet thought-provoking take on the unlikely partnership between American cheese and solar energy. The film presents a comical yet insightful exploration of the potential synergies between food production and renewable energy, resonating with the unconventional intersection observed in our empirical analysis.
"Cheese" Louise, isn't it fascinating how these disparate domains intersect?

[[RESULTS]]
The statistical analysis revealed a strong positive correlation between American cheese consumption in the United States and solar power generation in Morocco. The correlation coefficient of 0.9120301 indicates a robust relationship, suggesting that as American cheese consumption increased, so did solar power generation in Morocco. One might say that American cheese consumption has been "curd-ially" invited to contribute to the renewable energy cause.
The r-squared value of 0.8317990 further supports the notion that changes in American cheese consumption explain a considerable proportion of the variation in solar power generation in Morocco. This finding indicates that the relationship between these variables is not merely coincidental but rather exhibits a consistent pattern over the period from 2002 to 2021. It seems that the dynamics of American cheese consumption "cheddar" light on the intricacies of solar power generation in a rather unexpected manner.
With a p-value of less than 0.01, the results are statistically significant, providing strong evidence against the null hypothesis that there is no association between American cheese consumption and solar power generation in Morocco. It appears that the impact of American cheese on solar power is not just a matter of "feta" (fate), but rather a significant and noteworthy phenomenon that warrants further investigation.
The scatterplot (Fig. 1) visually depicts the positive relationship between American cheese consumption and solar power generation in Morocco. The scatterplot further reinforces the strength of the correlation, illustrating a clear upward trend as American cheese consumption increases, corresponding to higher levels of solar power generation in Morocco. This unexpected relationship truly adds a "gouda" layer of intrigue to the complex tapestry of energy and food dynamics.
In conclusion, the results of this study highlight a compelling association between American cheese consumption and solar power generation in Morocco. These findings not only challenge traditional notions of causality but also provide a lighthearted reminder that sometimes, the most unexpected connections can shed light on significant developments. After all, who would have thought that the love of American cheese can be "grate" for sustainable energy?

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

The results of this study provide compelling support for the unexpected association between American cheese consumption and solar power generation in Morocco, as suggested by the prior research. The strong positive correlation observed between these seemingly unrelated variables aligns with "Smith's" foundational understanding of the potential interplay between dairy product consumption and renewable energy sources. It seems that the influence of American cheese on solar power generation is not just a matter of "feta" (fate), but rather a significant and noteworthy phenomenon that warrants further investigation - "gouda" news indeed.

Our findings also resonate with Doe's analysis of global food trade patterns, reflecting the intricate dynamics that may underpin the observed correlation between American cheese consumption and solar power generation. The robust relationship observed in our study offers a compelling validation of the potential interconnectedness of these domains, highlighting the "brie-lliant" avenue for further exploration in energy economics and international food trade. It appears that the unexpected influence of American cheese has, indeed, whey-ved its way into the realm of sustainable energy in Morocco.

Furthermore, the r-squared value of 0.8317990 indicates that changes in American cheese consumption explain a considerable proportion of the variation in solar power generation in Morocco, aligning with Pollan's insights into the potential influence of American cheese consumption on renewable energy initiatives. It appears that the whimsical tendrils of cheese and solar power may indeed intertwine in unsuspected ways, paving the whey for "grate" advancements in the understanding of global systems.

The statistically significant results of our study, with a p-value of less than 0.01, also echo the findings of Lappe's comprehensive analysis of sustainable food systems, emphasizing the significant and noteworthy nature of the impact of American cheese on solar power in Morocco. It seems that the dynamics of American cheese consumption "cheddar" light on the intricacies of solar power generation in a rather unexpected manner, posing intriguing possibilities for the intersection of dietary habits and environmental sustainability.

In conclusion, the surprising relationship between American cheese consumption and solar power generation in Morocco, as revealed by our study, offers a "gouda" reminder that sometimes, the most unexpected connections can shed light on significant developments. It also adds a cheesy twist to the understanding of the complex interplay between food consumption and renewable energy, emphasizing the "power" of dairy products in shaping global energy dynamics.

This study, "grate"ly informed by the whimsical intersection between American cheese and Moroccan solar power, not only highlights the invaluable role of dairy products in driving sustainable energy developments but also emphasizes the multifaceted nature of global interconnectedness. It appears that American cheese may indeed hold the "whey" to enlightening revelations in energy economics and international trade.

Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 American cheese consumption and Solar power generated in Morocco. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco"

[[ABSTRACT]]
This study investigates the curious relationship between American cheese consumption and solar power generation in Morocco, employing data from the USDA and Energy Information Administration. With a correlation coefficient of 0.9120301 and p < 0.01 over the period from 2002 to 2021, our findings suggest a surprisingly strong connection between these seemingly unrelated phenomena.

Analyzing the data, we observed a clear pattern indicating that as American cheese consumption in the United States increased, solar power generation in Morocco experienced a corresponding surge. One might say that the sun isn't the only thing providing energy; American cheese seems to be "whey-ving" its influence from across the Atlantic, "gouda" for thought.

The results of our study provide an opportunity for "grate" advancements in understanding the interconnectedness of global systems and the "power" of dairy products. It also raises the question: could American cheese be the secret ingredient to enhancing solar power technologies? Our findings open up a "brie-lliant" avenue for further exploration in energy economics and international food trade, as well as potential applications in renewable energy policy.

[[INTRDUCTION]]
The interplay between dietary choices and renewable energy sources is often overshadowed by more traditional analytical frameworks in economics and energy studies. However, the unexpected yet compelling association between American cheese consumption and solar power generation in Morocco has sparked considerable interest in the academic community, as well as a few cheese-related puns. This inquiry into the potential connection between these disparate domains not only provides a refreshing departure from conventional research topics but also adds a delightful twist to the often serious discourse on global energy dynamics. As the saying goes, "It's not easy being cheesy, but it might just be the key to solar power."
Given the significant role that energy production and consumption play in the global economic landscape, any unanticipated relationships that emerge from empirical analysis are worthy of investigation. In light of the substantial advancements in renewable energy technologies and the growing complexity of international trade patterns, it is essential to embrace an interdisciplinary approach in exploring the interactions between seemingly unrelated phenomena. After all, who would have thought that the creamy delight of American cheese could have a "grater" impact on solar power generation than previously assumed?
The convergence of culinary preferences in the United States and sustainable energy efforts in Morocco serves as a fertile ground for understanding the intricate web of transnational influences. Just as the flavors of American cheese can vary from mild to extra sharp, so too can the effects of its consumption on renewable energy systems. It appears that the intercontinental "whey" in which these phenomena interact is more significant than previously acknowledged, provoking us to contemplate the implications of such a correlation. One might even "brielieve" that an unexpected pair like American cheese and Moroccan solar power is a match made in scientific heaven.

[[RESULTS]]
The statistical analysis revealed a strong positive correlation between American cheese consumption in the United States and solar power generation in Morocco. The correlation coefficient of 0.9120301 indicates a robust relationship, suggesting that as American cheese consumption increased, so did solar power generation in Morocco. One might say that American cheese consumption has been "curd-ially" invited to contribute to the renewable energy cause.
The r-squared value of 0.8317990 further supports the notion that changes in American cheese consumption explain a considerable proportion of the variation in solar power generation in Morocco. This finding indicates that the relationship between these variables is not merely coincidental but rather exhibits a consistent pattern over the period from 2002 to 2021. It seems that the dynamics of American cheese consumption "cheddar" light on the intricacies of solar power generation in a rather unexpected manner.
With a p-value of less than 0.01, the results are statistically significant, providing strong evidence against the null hypothesis that there is no association between American cheese consumption and solar power generation in Morocco. It appears that the impact of American cheese on solar power is not just a matter of "feta" (fate), but rather a significant and noteworthy phenomenon that warrants further investigation.
The scatterplot (Fig. 1) visually depicts the positive relationship between American cheese consumption and solar power generation in Morocco. The scatterplot further reinforces the strength of the correlation, illustrating a clear upward trend as American cheese consumption increases, corresponding to higher levels of solar power generation in Morocco. This unexpected relationship truly adds a "gouda" layer of intrigue to the complex tapestry of energy and food dynamics.
In conclusion, the results of this study highlight a compelling association between American cheese consumption and solar power generation in Morocco. These findings not only challenge traditional notions of causality but also provide a lighthearted reminder that sometimes, the most unexpected connections can shed light on significant developments. After all, who would have thought that the love of American cheese can be "grate" for sustainable energy?

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

The results of our study illuminate an unexpectedly strong association between American cheese consumption in the United States and solar power generation in Morocco. This finding serves as a "gouda" reminder of the intricate and often surprising interplay between seemingly unrelated global phenomena. It seems that the old adage holds true: "Where there's a "whey", there's a "ray" of sunshine, or perhaps solar power.

The robust positive correlation, as evidenced by the correlation coefficient of 0.9120301 and an r-squared value of 0.8317990, emphasizes the noteworthy influence of American cheese on solar power generation in Morocco. One might even speculate that American cheese has the potential to "brie" a key ingredient in sustainable energy solutions, adding a whole new meaning to the concept of "power cheese."

The statistically significant relationship, with a p-value of less than 0.01, defies conventional expectations and underscores the need for further investigation into the mechanisms underlying this surprising connection. As the saying goes, "It's not easy "brieing" cheesy, but the implications for renewable energy are nothing to "bleu" off.

In light of these compelling findings, it must be concluded that no further research is necessary in this area. The evidence overwhelmingly supports the notion that American cheese consumption indeed plays a significant role in influencing solar power generation in Morocco. It seems that the "whey" forward for sustainable energy may, in fact, lie in the unlikeliest of places.

With this study, we have demonstrated the potential for unexpected connections to contribute to broader scientific understanding, while also providing a "gouda" dose of humor to the serious discourse of energy economics and international trade. After all, who would have thought that American cheese could "fondue" its way into the realm of renewable energy?

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 Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Renewable Energy and Dairy Science

Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Dairy-licious Solar 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 Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco with an abstract of This study investigates the curious relationship between American cheese consumption and solar power generation in Morocco, employing data from the USDA and Energy Information Administration. With a correlation coefficient of 0.9120301 and p < 0.01 over the period from 2002 to 2021, our findings suggest a surprisingly strong connection between these seemingly unrelated phenomena.
Analyzing the data, we observed a clear pattern indicating that as American cheese consumption in the United States increased, solar power generation in Morocco experienced a corresponding surge. One might say that the sun isn't the only thing providing energy; American cheese seems to be "whey-ving" its influence from across the Atlantic, "gouda" for thought.
The results of our study provide an opportunity for "grate" advancements in understanding the interconnectedness of global systems and the "power" of dairy products. It also raises the question: could American cheese be the secret ingredient to enhancing solar power technologies? Our findings open up a "brie-lliant" avenue for further exploration in energy economics and international food trade, as well as potential applications in renewable energy policy.

ChatGPT:

American cheese consumption, solar power generation, Morocco, USDA data, Energy Information Administration, correlation coefficient, p value, global systems interconnectedness, dairy products, renewable energy policy, energy economics

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

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Data details

American cheese consumption
Detailed data title: Per capita consumption of American cheese in the US
Source: USDA
See what else correlates with American cheese consumption

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

Correlation r = 0.9120301 (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 = 0.8317990 (Coefficient of determination)
This means 83.2% of the change in the one variable (i.e., Solar power generated in Morocco) is predictable based on the change in the other (i.e., American cheese consumption) over the 20 years from 2002 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.2E-8.^Show 0.0000000216983962371168920000
The p-value is a measure of how probable it is that we would randomly find a result this extreme.^Note More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.91 in 2.2E-6% of random cases. Said differently, if you correlated 46,086,355 random variables^Note You don't actually need 46 million variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 19 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 19 because we have two variables measured over a period of 20 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.

[ 0.79, 0.97 ] 95% correlation confidence interval (using the Fisher z-transformation)
^{Read more about the confidence interval} The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!

All values for the years included above: ^Note If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.

	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021
American cheese consumption (Pounds per person)	12.8314	12.5619	12.8612	12.649	13.0656	12.7929	13.1306	13.3553	13.3048	13.0392	13.2569	13.3573	13.6656	14.0444	14.3621	15.0901	15.4027	15.5389	15.5	16.1
Solar power generated in Morocco (Billion kWh)	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.057	0.057	0.063	0.028	0.427	0.445	0.95	1.581	1.52	1.821

Why this works

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

Try it yourself

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

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

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

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

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

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

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

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

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

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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([12.8314,12.5619,12.8612,12.649,13.0656,12.7929,13.1306,13.3553,13.3048,13.0392,13.2569,13.3573,13.6656,14.0444,14.3621,15.0901,15.4027,15.5389,15.5,16.1,])
array_2 = np.array([0.0001,0.0001,0.0001,0.0001,0.0001,0.0001,0.0001,0.0001,0.0001,0.0001,0.057,0.057,0.063,0.028,0.427,0.445,0.95,1.581,1.52,1.821,])
array_1_name = "American cheese consumption"
array_2_name = "Solar power generated in Morocco"

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

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

Reuseable content

You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. ^Note Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

When spoken, my last name is pronounced "vegan," like I don't eat meat.

Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.

Download images for these variables:

High resolution line chart ^Note The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.

If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
Portable line chart (png), optimized for mobile
Line chart for only American cheese consumption
Line chart for only Solar power generated in Morocco
AI-generated correlation image
The spurious research paper: Shedding Light on Solar-Powered Cheese: An Analysis of American Cheese Consumption and Solar Power Generation in Morocco

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Correlation ID: 1549 · Black Variable ID: 553 · Red Variable ID: 23831


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