Spurious correlation #1,774 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Yogurt consumption and the second variable is Biomass power generated in Netherlands. The chart goes from 1990 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 Yogurt consumption and the second variable is Biomass power generated in Netherlands. The chart goes from 1990 to 2021, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As yogurt consumption increased, so did the culture in the Netherlands. This led to a spike in biomass power because the bacteria were whey more productive at generating energy. It's a real powerhouse of a connection! Just goes to show, when it comes to dairy good correlations, this one takes the cake – or should I say, the yogurt!

^{Show image generation prompt} Model: dalle-3
Prompt: [Whimsical illustration] In a modern kitchen in the Netherlands, a person sits at a cozy table, enjoying a bowl of creamy yogurt. Through the window, the warm glow of a nearby power plant can be seen. The person smiles contentedly as they take a tasty spoonful of yogurt, the scene blending the pleasure of dairy consumption with the green energy generated by the biomass power plant. 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: Yogurt consumption and Biomass power generated in Netherlands. 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: Pop art Voxel art Art nouveau Whimsical illustration Macabre
ChatGPT: Whimsical illustration

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 Yogurt consumption and Biomass power generated in Netherlands together. Keep the description simple.
ChatGPT: In a modern kitchen in the Netherlands, a person is enjoying a bowl of creamy yogurt while a nearby power plant uses biomass to generate clean energy. The warm glow of the power plant's lights can be seen through the window as the person takes a tasty spoonful of yogurt, creating a scene that combines the consumption of dairy products and the generation of sustainable electricity.

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: [ Whimsical illustration ] and depicting this scene: In a modern kitchen in the Netherlands, a person is enjoying a bowl of creamy yogurt while a nearby power plant uses biomass to generate clean energy. The warm glow of the power plant's lights can be seen through the window as the person takes a tasty spoonful of yogurt, creating a scene that combines the consumption of dairy products and the generation of sustainable electricity. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [Whimsical illustration] In a modern kitchen in the Netherlands, a person sits at a cozy table, enjoying a bowl of creamy yogurt. Through the window, the warm glow of a nearby power plant can be seen. The person smiles contentedly as they take a tasty spoonful of yogurt, the scene blending the pleasure of dairy consumption with the green energy generated by the biomass power plant.

*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 Yogurt consumption caused Biomass power generated in Netherlands to increase. Include one good pun.

AI academic paper

(Because p < 0.01)

Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

Journal of Fermentation Energy Research

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 goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Yogurt consumption and Biomass power generated in Netherlands. 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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading CVS receipts.

Here is the title and abstract of the paper:
[[TITLE]]
Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

[[ABSTRACT]]
The debate over renewable energy sources has been fermenting for years, and our research delves into the unexpected relationship between yogurt consumption and biomass power generation in the Netherlands. Utilizing data from the USDA and Energy Information Administration, we conducted a comprehensive analysis covering the period from 1990 to 2021. Our findings revealed a striking correlation coefficient of 0.9522125 and a statistically significant p-value of less than 0.01, suggesting a strong association between yogurt consumption and biomass power generated.
This correlation may seem as unlikely as a cow producing yogurt, but our research sheds light on this fascinating connection. Could it be that the Dutch have unlocked the secret to sustainable energy through their love of yogurt? Our findings point to the need for further exploration into the potential link between dairy products and renewable energy sources. As the saying goes, "When life gives you milk, make yogurt, and power your homes with biomass energy!"

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Yogurt, a creamy and tangy dairy delight, has long been a staple in the diets of people around the world. It's a versatile food, perfect for breakfast, a quick snack, or even as a marinade for meat – talk about a cultured condiment! In recent years, however, researchers have begun to explore the potential of yogurt not just as a tasty treat, but as a key player in the realm of renewable energy. It seems that yogurt may be doing more than just supporting gut health – it could be fueling an entirely different kind of power!
The Netherlands, a country known for its picturesque windmills and fields of tulips, has also been at the forefront of sustainable energy initiatives. However, amidst the tulips and cheese wheels, there lies a lesser-known yet intriguing factor in the quest for renewable energy – yogurt consumption. Yes, you heard that right! The Dutch may be stirring up more than just their morning yogurt bowls – they could be stirring up a solution to the global energy crisis.
Now, you might be wondering, "How on earth could yogurt consumption possibly be linked to biomass power generation?" Well, hold onto your lab goggles, because we're about to dive into the science behind this unexpected symbiosis. It’s a bit like the old saying, "What do you get when you cross a yogurt lover with a renewable energy enthusiast? A whey to power the future!"
In this study, we set out to unravel the mystery of the yogurt-biomass power connection in the Netherlands. Utilizing robust data sets from the United States Department of Agriculture and the Energy Information Administration, we meticulously analyzed over three decades of data – a process that was at times more daunting than trying to find the expiration date on a tub of yogurt in the back of the fridge.
As we delved into the numbers, we uncovered a correlation coefficient that was as strong and dependable as the bond between bacteria cultures in a yogurt starter. We found a statistically significant p-value, indicating that this relationship is not merely a fluke – there's some serious substance to this creamy correlation.
So, grab your lab coat and a spoon, because we're about to embark on a scientific journey that may have you seeing yogurt in a whole new light. As we unveil the results of our analysis, you'll find that the intertwining of yogurt consumption and biomass power generation is more than just a statistical fluke – it's a potential game-changer in the realm of sustainable energy. Get ready to embrace the power of probiotics and the might of microbes, because as it turns out, there may be more to yogurt than meets the "I-couldn't-help-but-cultivate-these-puns"!

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The study of the unexpected correlation between yogurt consumption and biomass power generation in the Netherlands has led to a proliferation of research across various disciplines. Smith et al. (2017) conducted a comprehensive analysis of dairy consumption patterns and renewable energy production, finding a moderate positive correlation. Additionally, Doe's work (2019) delved into the societal factors influencing yogurt preferences and their potential impact on sustainable energy initiatives. These studies highlight the growing interest and curiosity surrounding this unanticipated relationship.

Turning the pages to non-fiction literature, "The Power of Probiotics: Unveiling the Microbial Mysteries" by Dr. Emily Jones and "Biomass Revolution: Fuelling the Future" by Professor Alexander Smith provide valuable insights into the microbial and energy realms, respectively. These works serve as important foundational knowledge for understanding the individual components of this peculiar symbiosis.

Now, entering the realm of fiction, "The Curious Case of the Cultured Currents" by Agatha Christie and "Yogurt Yields and Energy Fields" by J.K. Rowling draw upon the enigmatic connections between dairy products and sustainable energy. While these works may be fictional, they offer imaginative perspectives that challenge conventional thinking and open the mind to unexpected possibilities.

In a departure from traditional scholarly sources, the researchers also encountered an abundance of information on the subject from rather unconventional sources. This included perusing through grocery receipts from various Dutch supermarkets, where the correlation between yogurt purchases and biomass power consumption seemed evident – though perhaps more empirical investigation is needed before drawing any definitive conclusions. As the old saying goes, "When life gives you lemons, conduct a thorough literature review – or in this case, yogurt, and maybe a few oddball references!"

Stay tuned for the full analysis, where we will be diving into the findings of our groundbreaking investigation into the unlikely yet intriguing relationship between yogurt consumption and biomass power generation. Get ready for a whirlwind of puns and probiotics, as we unravel the curd and power of this unexpected symbiotic relationship!

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Yogurt consumption and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 Energy Information Administration . You used data from 1990 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]]
Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

[[ABSTRACT]]
The debate over renewable energy sources has been fermenting for years, and our research delves into the unexpected relationship between yogurt consumption and biomass power generation in the Netherlands. Utilizing data from the USDA and Energy Information Administration, we conducted a comprehensive analysis covering the period from 1990 to 2021. Our findings revealed a striking correlation coefficient of 0.9522125 and a statistically significant p-value of less than 0.01, suggesting a strong association between yogurt consumption and biomass power generated.
This correlation may seem as unlikely as a cow producing yogurt, but our research sheds light on this fascinating connection. Could it be that the Dutch have unlocked the secret to sustainable energy through their love of yogurt? Our findings point to the need for further exploration into the potential link between dairy products and renewable energy sources. As the saying goes, "When life gives you milk, make yogurt, and power your homes with biomass energy!"

[[INTRODUCTION]]
Yogurt, a creamy and tangy dairy delight, has long been a staple in the diets of people around the world. It's a versatile food, perfect for breakfast, a quick snack, or even as a marinade for meat – talk about a cultured condiment! In recent years, however, researchers have begun to explore the potential of yogurt not just as a tasty treat, but as a key player in the realm of renewable energy. It seems that yogurt may be doing more than just supporting gut health – it could be fueling an entirely different kind of power!
The Netherlands, a country known for its picturesque windmills and fields of tulips, has also been at the forefront of sustainable energy initiatives. However, amidst the tulips and cheese wheels, there lies a lesser-known yet intriguing factor in the quest for renewable energy – yogurt consumption. Yes, you heard that right! The Dutch may be stirring up more than just their morning yogurt bowls – they could be stirring up a solution to the global energy crisis.
Now, you might be wondering, "How on earth could yogurt consumption possibly be linked to biomass power generation?" Well, hold onto your lab goggles, because we're about to dive into the science behind this unexpected symbiosis. It’s a bit like the old saying, "What do you get when you cross a yogurt lover with a renewable energy enthusiast? A whey to power the future!"
In this study, we set out to unravel the mystery of the yogurt-biomass power connection in the Netherlands. Utilizing robust data sets from the United States Department of Agriculture and the Energy Information Administration, we meticulously analyzed over three decades of data – a process that was at times more daunting than trying to find the expiration date on a tub of yogurt in the back of the fridge.
As we delved into the numbers, we uncovered a correlation coefficient that was as strong and dependable as the bond between bacteria cultures in a yogurt starter. We found a statistically significant p-value, indicating that this relationship is not merely a fluke – there's some serious substance to this creamy correlation.
So, grab your lab coat and a spoon, because we're about to embark on a scientific journey that may have you seeing yogurt in a whole new light. As we unveil the results of our analysis, you'll find that the intertwining of yogurt consumption and biomass power generation is more than just a statistical fluke – it's a potential game-changer in the realm of sustainable energy. Get ready to embrace the power of probiotics and the might of microbes, because as it turns out, there may be more to yogurt than meets the "I-couldn't-help-but-cultivate-these-puns"!

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

Now, onto the meaty part of our research (or should I say, the yogurt part?) – the methodology. Our approach to unraveling the yogurt-biomass power connection in the Netherlands involved a mix of quantitative analysis, statistical modeling, and a sprinkle of whimsy that would make even the most stoic scientist crack a smile.

**Data Collection**

We began by sifting through a mountain of data like archeologists unearthing ancient artifacts, except instead of pottery shards, we were digging up statistical nuggets. Our treasure trove of information was sourced primarily from the United States Department of Agriculture and the Energy Information Administration. It was a bit like panning for gold, only instead of gold, we were after correlations between yogurt consumption and biomass power generation.

**Yogurt Consumption and Biomass Power Generation: Finding the Missing Link**

Our first step was to gather historical data on yogurt consumption and biomass power generation in the Netherlands from 1990 to 2021. We combed through databases with a focus sharper than a yogurt lover eyeing the last spoonful of their favorite flavor. Once the data was in hand, we set out to whip up a delectable concoction of statistics and graphical analysis to uncover any hidden connections.

**Time-Series Analysis: Separating the Curds from the Whey**

To analyze the temporal patterns of yogurt consumption and biomass power generation, we employed sophisticated time-series techniques that would impress even the most discerning dairy connoisseur. We wanted to see if these two variables danced together like a perfectly orchestrated ballet or if they were as mismatched as socks worn in the dark – a foul judgment of mismatch indeed.

**Correlation Coefficient Calculation: Stirring Up Statistical Relationships**

For a closer look at the relationship between yogurt consumption and biomass power generation, we calculated the correlation coefficient. This statistic measures the strength and direction of the linear relationship between two variables. It's like the ultimate matchmaker for data pairs, determining if they're a statistical love story or just a chance encounter at the lab equipment swap meet.

**Hypothesis Testing: Seperating the Cream from the Milk**

In the spirit of scientific inquiry, we put our findings to the test with hypothesis testing. We set out to determine whether the observed correlation between yogurt consumption and biomass power generation was a result of a genuine relationship or simply the randomness that can occur when working with complex datasets. It was like trying to separate the cream from the milk – we were in pursuit of the richest, most substantial findings.

**Data Visualization: A Feast for the Eyes**

As enticing as a mouthwatering parfait, our data visualization techniques brought the relationship between yogurt consumption and biomass power generation to life. We crafted graphs and charts that would make even the most hardened statistician's heart skip a beat – or potentially skip a "beet," considering the dairy theme of our study.

**Statistical Modeling: Cooking Up a Recipe for Understanding**

To truly grasp the nuances of the yogurt-biomass power connection, we turned to sophisticated statistical modeling techniques. It was a bit like concocting a complex recipe, with each variable and parameter playing a crucial role in the final dish – or in our case, the final analysis.

As we simmered our data and methods together, we found ourselves on the cusp of a discovery that was as unexpected as finding a yogurt culture in a petri dish labeled "Biomass Power Generator." Our methodology blended rigor with a touch of lightheartedness, creating a concoction that we hope will have a lasting impact on the fields of energy, agriculture, and perhaps even culinary science. Now, if only we could figure out how to power a lab with the energy released from stirring yogurt...

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Yogurt consumption and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 Energy Information Administration .

For the time period 1990 to 2021, you found a correlation 0.9522125, r-squared of 0.9067087, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

[[ABSTRACT]]
The debate over renewable energy sources has been fermenting for years, and our research delves into the unexpected relationship between yogurt consumption and biomass power generation in the Netherlands. Utilizing data from the USDA and Energy Information Administration, we conducted a comprehensive analysis covering the period from 1990 to 2021. Our findings revealed a striking correlation coefficient of 0.9522125 and a statistically significant p-value of less than 0.01, suggesting a strong association between yogurt consumption and biomass power generated.
This correlation may seem as unlikely as a cow producing yogurt, but our research sheds light on this fascinating connection. Could it be that the Dutch have unlocked the secret to sustainable energy through their love of yogurt? Our findings point to the need for further exploration into the potential link between dairy products and renewable energy sources. As the saying goes, "When life gives you milk, make yogurt, and power your homes with biomass energy!"

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Yogurt, a creamy and tangy dairy delight, has long been a staple in the diets of people around the world. It's a versatile food, perfect for breakfast, a quick snack, or even as a marinade for meat – talk about a cultured condiment! In recent years, however, researchers have begun to explore the potential of yogurt not just as a tasty treat, but as a key player in the realm of renewable energy. It seems that yogurt may be doing more than just supporting gut health – it could be fueling an entirely different kind of power!
The Netherlands, a country known for its picturesque windmills and fields of tulips, has also been at the forefront of sustainable energy initiatives. However, amidst the tulips and cheese wheels, there lies a lesser-known yet intriguing factor in the quest for renewable energy – yogurt consumption. Yes, you heard that right! The Dutch may be stirring up more than just their morning yogurt bowls – they could be stirring up a solution to the global energy crisis.
Now, you might be wondering, "How on earth could yogurt consumption possibly be linked to biomass power generation?" Well, hold onto your lab goggles, because we're about to dive into the science behind this unexpected symbiosis. It’s a bit like the old saying, "What do you get when you cross a yogurt lover with a renewable energy enthusiast? A whey to power the future!"
In this study, we set out to unravel the mystery of the yogurt-biomass power connection in the Netherlands. Utilizing robust data sets from the United States Department of Agriculture and the Energy Information Administration, we meticulously analyzed over three decades of data – a process that was at times more daunting than trying to find the expiration date on a tub of yogurt in the back of the fridge.
As we delved into the numbers, we uncovered a correlation coefficient that was as strong and dependable as the bond between bacteria cultures in a yogurt starter. We found a statistically significant p-value, indicating that this relationship is not merely a fluke – there's some serious substance to this creamy correlation.
So, grab your lab coat and a spoon, because we're about to embark on a scientific journey that may have you seeing yogurt in a whole new light. As we unveil the results of our analysis, you'll find that the intertwining of yogurt consumption and biomass power generation is more than just a statistical fluke – it's a potential game-changer in the realm of sustainable energy. Get ready to embrace the power of probiotics and the might of microbes, because as it turns out, there may be more to yogurt than meets the "I-couldn't-help-but-cultivate-these-puns"!

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The analysis of the relationship between yogurt consumption and biomass power generation in the Netherlands yielded some truly surprising results, leaving us feeling more stirred than a freshly blended yogurt smoothie. Our research revealed a remarkably strong correlation coefficient of 0.9522125. This correlation coefficient is so strong, it's almost as if yogurt and biomass power generation are in a mutually beneficial symbiotic relationship, like a bacteria culture and its host – talk about a "cultured" association!

The r-squared value of 0.9067087 further reinforced the robustness of the relationship between yogurt consumption and biomass power generation. This r-squared value is about as close to 1 as you can get, indicating that yogurt consumption explains a whopping 90.67% of the variability in biomass power generation. It's safe to say that the connection between yogurt and renewable energy is as clear as the probiotics in a tub of Greek yogurt!

The p-value, coming in at less than 0.01, provides irrefutable evidence of the statistical significance of the relationship between these two variables. This p-value is so small, it's almost as significant as finding a single blueberry in a large tub of yogurt – a rare and exciting discovery indeed!

The visualization of the relationship, as depicted in Fig. 1, shows a scatterplot demonstrating the strong positive correlation between yogurt consumption and biomass power generation. One might say that the correlation in the data is as strong as the tight seal on a container of yogurt.

These findings present a compelling case for considering yogurt consumption as a potential predictor of biomass power generation. It seems that when it comes to sustainable energy, the Dutch have been harnessing the power of yogurt in ways that go beyond its delicious taste and gut-friendly benefits. Who would have thought that the key to sustainable energy could lie in a container of creamy dairy goodness? It's like finding a renewable energy source in a kitchen refrigerator - talk about an unexpected twist in the science of power generation!

Our results emphasize the need for further exploration and multidisciplinary research to uncover the underlying mechanisms driving this intriguing relationship. From a scientific standpoint, it's clear that the potential applications of yogurt in the realm of renewable energy extend beyond just consumption – it's a real "culture" of innovation waiting to be explored!

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Yogurt consumption and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

[[ABSTRACT]]
The debate over renewable energy sources has been fermenting for years, and our research delves into the unexpected relationship between yogurt consumption and biomass power generation in the Netherlands. Utilizing data from the USDA and Energy Information Administration, we conducted a comprehensive analysis covering the period from 1990 to 2021. Our findings revealed a striking correlation coefficient of 0.9522125 and a statistically significant p-value of less than 0.01, suggesting a strong association between yogurt consumption and biomass power generated.
This correlation may seem as unlikely as a cow producing yogurt, but our research sheds light on this fascinating connection. Could it be that the Dutch have unlocked the secret to sustainable energy through their love of yogurt? Our findings point to the need for further exploration into the potential link between dairy products and renewable energy sources. As the saying goes, "When life gives you milk, make yogurt, and power your homes with biomass energy!"

[[LITERATURE REVIEW]]
The study of the unexpected correlation between yogurt consumption and biomass power generation in the Netherlands has led to a proliferation of research across various disciplines. Smith et al. (2017) conducted a comprehensive analysis of dairy consumption patterns and renewable energy production, finding a moderate positive correlation. Additionally, Doe's work (2019) delved into the societal factors influencing yogurt preferences and their potential impact on sustainable energy initiatives. These studies highlight the growing interest and curiosity surrounding this unanticipated relationship.
Turning the pages to non-fiction literature, "The Power of Probiotics: Unveiling the Microbial Mysteries" by Dr. Emily Jones and "Biomass Revolution: Fuelling the Future" by Professor Alexander Smith provide valuable insights into the microbial and energy realms, respectively. These works serve as important foundational knowledge for understanding the individual components of this peculiar symbiosis.
Now, entering the realm of fiction, "The Curious Case of the Cultured Currents" by Agatha Christie and "Yogurt Yields and Energy Fields" by J.K. Rowling draw upon the enigmatic connections between dairy products and sustainable energy. While these works may be fictional, they offer imaginative perspectives that challenge conventional thinking and open the mind to unexpected possibilities.
In a departure from traditional scholarly sources, the researchers also encountered an abundance of information on the subject from rather unconventional sources. This included perusing through grocery receipts from various Dutch supermarkets, where the correlation between yogurt purchases and biomass power consumption seemed evident – though perhaps more empirical investigation is needed before drawing any definitive conclusions. As the old saying goes, "When life gives you lemons, conduct a thorough literature review – or in this case, yogurt, and maybe a few oddball references!"
Stay tuned for the full analysis, where we will be diving into the findings of our groundbreaking investigation into the unlikely yet intriguing relationship between yogurt consumption and biomass power generation. Get ready for a whirlwind of puns and probiotics, as we unravel the curd and power of this unexpected symbiotic relationship!

[[RESULTS]]
The analysis of the relationship between yogurt consumption and biomass power generation in the Netherlands yielded some truly surprising results, leaving us feeling more stirred than a freshly blended yogurt smoothie. Our research revealed a remarkably strong correlation coefficient of 0.9522125. This correlation coefficient is so strong, it's almost as if yogurt and biomass power generation are in a mutually beneficial symbiotic relationship, like a bacteria culture and its host – talk about a "cultured" association!
The r-squared value of 0.9067087 further reinforced the robustness of the relationship between yogurt consumption and biomass power generation. This r-squared value is about as close to 1 as you can get, indicating that yogurt consumption explains a whopping 90.67% of the variability in biomass power generation. It's safe to say that the connection between yogurt and renewable energy is as clear as the probiotics in a tub of Greek yogurt!
The p-value, coming in at less than 0.01, provides irrefutable evidence of the statistical significance of the relationship between these two variables. This p-value is so small, it's almost as significant as finding a single blueberry in a large tub of yogurt – a rare and exciting discovery indeed!
The visualization of the relationship, as depicted in Fig. 1, shows a scatterplot demonstrating the strong positive correlation between yogurt consumption and biomass power generation. One might say that the correlation in the data is as strong as the tight seal on a container of yogurt.
These findings present a compelling case for considering yogurt consumption as a potential predictor of biomass power generation. It seems that when it comes to sustainable energy, the Dutch have been harnessing the power of yogurt in ways that go beyond its delicious taste and gut-friendly benefits. Who would have thought that the key to sustainable energy could lie in a container of creamy dairy goodness? It's like finding a renewable energy source in a kitchen refrigerator - talk about an unexpected twist in the science of power generation!
Our results emphasize the need for further exploration and multidisciplinary research to uncover the underlying mechanisms driving this intriguing relationship. From a scientific standpoint, it's clear that the potential applications of yogurt in the realm of renewable energy extend beyond just consumption – it's a real "culture" of innovation waiting to be explored!

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

Our study explored the unexpectedly robust association between yogurt consumption and biomass power generation in the Netherlands, and the results certainly left us feeling as elated as a lactobacillus bacterium thriving in a pot of yogurt. Our findings not only align with prior research, but they also offer a creamy layer of additional support for the intriguing relationship between dairy consumption and renewable energy production.

First, let's yogurt down to business and address the big white elephant in the room – the results solidly supported the existing literature that hinted at a positive correlation between yogurt consumption and biomass power generation. The research by Smith et al. (2017) and Doe (2019) has been vindicated by our study's statistically significant correlation coefficient and p-value. It seems that the Dutch have indeed been stirring up a sustainable energy solution right under our noses, or should we say, right under our tums?

The r-squared value of 0.9067087 uncovered in our analysis cements the notion that yogurt consumption explains a substantial 90.67% of the variability in biomass power generation. It's as if yogurt and biomass power are inextricably entwined, much like the symbiotic relationship between bacteria and the milk used to make the yogurt itself. When it comes to explaining renewable energy production in the Netherlands, it seems that yogurt isn't just a snack – it's a predictive powerhouse of epic proportions!

Our findings also lend support to the unconventional sources that we mentioned in the literature review. Scouring through grocery receipts now feels like a genius move, doesn't it? Unconventional, yes, but it certainly added a dollop of empirical support to our investigation. It's a good reminder that sometimes, the best insights come from the most unexpected places, much like finding a surprisingly profound message in a fortune cookie.

Amidst the statistical analyses and the rigorous scrutiny of the data, it's important not to lose sight of the human element. These findings hold implications not only for the scientific community but also for the Dutch population, and perhaps even for global energy sustainability efforts. As we move forward from this juncture, it's heartening to think that a simple carton of yogurt could potentially contribute to a more sustainable and energy-efficient world. It's a reminder that sometimes, the most radical ideas can be found in the most unassuming places – like a eureka moment in the dairy aisle of a supermarket.

So, there you have it: our results have churned out a compelling argument for taking the relationship between yogurt and biomass power generation seriously. This unorthodox connection may have sounded like a cheesy joke at first, but as it turns out, it's no laughing matter. Who would've thought that the answer to sustainable energy lay hidden amidst tubs of yogurt in the Netherlands? It's like discovering the missing piece of a puzzle in the most unexpected place – or in this case, in the land of windmills and tulips!

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Yogurt consumption and Biomass power generated in Netherlands. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

[[ABSTRACT]]
The debate over renewable energy sources has been fermenting for years, and our research delves into the unexpected relationship between yogurt consumption and biomass power generation in the Netherlands. Utilizing data from the USDA and Energy Information Administration, we conducted a comprehensive analysis covering the period from 1990 to 2021. Our findings revealed a striking correlation coefficient of 0.9522125 and a statistically significant p-value of less than 0.01, suggesting a strong association between yogurt consumption and biomass power generated.
This correlation may seem as unlikely as a cow producing yogurt, but our research sheds light on this fascinating connection. Could it be that the Dutch have unlocked the secret to sustainable energy through their love of yogurt? Our findings point to the need for further exploration into the potential link between dairy products and renewable energy sources. As the saying goes, "When life gives you milk, make yogurt, and power your homes with biomass energy!"

[[INTRDUCTION]]
Yogurt, a creamy and tangy dairy delight, has long been a staple in the diets of people around the world. It's a versatile food, perfect for breakfast, a quick snack, or even as a marinade for meat – talk about a cultured condiment! In recent years, however, researchers have begun to explore the potential of yogurt not just as a tasty treat, but as a key player in the realm of renewable energy. It seems that yogurt may be doing more than just supporting gut health – it could be fueling an entirely different kind of power!
The Netherlands, a country known for its picturesque windmills and fields of tulips, has also been at the forefront of sustainable energy initiatives. However, amidst the tulips and cheese wheels, there lies a lesser-known yet intriguing factor in the quest for renewable energy – yogurt consumption. Yes, you heard that right! The Dutch may be stirring up more than just their morning yogurt bowls – they could be stirring up a solution to the global energy crisis.
Now, you might be wondering, "How on earth could yogurt consumption possibly be linked to biomass power generation?" Well, hold onto your lab goggles, because we're about to dive into the science behind this unexpected symbiosis. It’s a bit like the old saying, "What do you get when you cross a yogurt lover with a renewable energy enthusiast? A whey to power the future!"
In this study, we set out to unravel the mystery of the yogurt-biomass power connection in the Netherlands. Utilizing robust data sets from the United States Department of Agriculture and the Energy Information Administration, we meticulously analyzed over three decades of data – a process that was at times more daunting than trying to find the expiration date on a tub of yogurt in the back of the fridge.
As we delved into the numbers, we uncovered a correlation coefficient that was as strong and dependable as the bond between bacteria cultures in a yogurt starter. We found a statistically significant p-value, indicating that this relationship is not merely a fluke – there's some serious substance to this creamy correlation.
So, grab your lab coat and a spoon, because we're about to embark on a scientific journey that may have you seeing yogurt in a whole new light. As we unveil the results of our analysis, you'll find that the intertwining of yogurt consumption and biomass power generation is more than just a statistical fluke – it's a potential game-changer in the realm of sustainable energy. Get ready to embrace the power of probiotics and the might of microbes, because as it turns out, there may be more to yogurt than meets the "I-couldn't-help-but-cultivate-these-puns"!

[[RESULTS]]
The analysis of the relationship between yogurt consumption and biomass power generation in the Netherlands yielded some truly surprising results, leaving us feeling more stirred than a freshly blended yogurt smoothie. Our research revealed a remarkably strong correlation coefficient of 0.9522125. This correlation coefficient is so strong, it's almost as if yogurt and biomass power generation are in a mutually beneficial symbiotic relationship, like a bacteria culture and its host – talk about a "cultured" association!
The r-squared value of 0.9067087 further reinforced the robustness of the relationship between yogurt consumption and biomass power generation. This r-squared value is about as close to 1 as you can get, indicating that yogurt consumption explains a whopping 90.67% of the variability in biomass power generation. It's safe to say that the connection between yogurt and renewable energy is as clear as the probiotics in a tub of Greek yogurt!
The p-value, coming in at less than 0.01, provides irrefutable evidence of the statistical significance of the relationship between these two variables. This p-value is so small, it's almost as significant as finding a single blueberry in a large tub of yogurt – a rare and exciting discovery indeed!
The visualization of the relationship, as depicted in Fig. 1, shows a scatterplot demonstrating the strong positive correlation between yogurt consumption and biomass power generation. One might say that the correlation in the data is as strong as the tight seal on a container of yogurt.
These findings present a compelling case for considering yogurt consumption as a potential predictor of biomass power generation. It seems that when it comes to sustainable energy, the Dutch have been harnessing the power of yogurt in ways that go beyond its delicious taste and gut-friendly benefits. Who would have thought that the key to sustainable energy could lie in a container of creamy dairy goodness? It's like finding a renewable energy source in a kitchen refrigerator - talk about an unexpected twist in the science of power generation!
Our results emphasize the need for further exploration and multidisciplinary research to uncover the underlying mechanisms driving this intriguing relationship. From a scientific standpoint, it's clear that the potential applications of yogurt in the realm of renewable energy extend beyond just consumption – it's a real "culture" of innovation waiting to be explored!

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unveiled a surprising and substantial relationship between yogurt consumption and biomass power generation in the Netherlands. It seems that yogurt is not just a tasty treat to be enjoyed with granola – it's also a potential powerhouse for renewable energy. Who would've thought that the key to clean and sustainable energy could be hiding in the dairy aisle? It's like finding the missing piece of the puzzle at the bottom of a yogurt cup – talk about a delectable discovery!

The statistically significant correlation coefficient and p-value indicate that this is more than just a mere coincidence – it's a profound connection that could have far-reaching implications for the future of renewable energy. It's as if yogurt and biomass power generation are in a symbiotic relationship that even the most astute ecologist would envy!

The high r-squared value further solidifies the notion that yogurt consumption explains a substantial proportion of the variability in biomass power generation. If only statistics were as appetizing as a bowl of creamy yogurt – we'd have a lot more statisticians in the world!

Our findings highlight the need for continued exploration into this yogurt-biomass power relationship. It’s clear that there's more to yogurt than meets the spoon, and further research in this area could churn out even more unexpected discoveries. As they say, "There's always more to learn, but it’s yogurt to be kidding me if we thought we'd find a creamier correlation than this one!"

In light of these groundbreaking findings, it's safe to say that no more research is yogurt-ly needed in this area. It's time to curdle up and digest these results, knowing that the connection between yogurt consumption and biomass power generation is as strong as the bond between a spoon and a yogurt cup. It seems that the Dutch have indeed set the bar high when it comes to innovative energy solutions – a true testament to the power of yogurt in shaping a sustainable and renewable future. As the Dutch might say, "Yogurt hoort erbij!"

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 Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Fermentation Energy Research

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 Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands. Respond only with the name of a fictional organization.

ChatGPT:

The International Institute for Edible Energy Sources

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 Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands with an abstract of The debate over renewable energy sources has been fermenting for years, and our research delves into the unexpected relationship between yogurt consumption and biomass power generation in the Netherlands. Utilizing data from the USDA and Energy Information Administration, we conducted a comprehensive analysis covering the period from 1990 to 2021. Our findings revealed a striking correlation coefficient of 0.9522125 and a statistically significant p-value of less than 0.01, suggesting a strong association between yogurt consumption and biomass power generated.
This correlation may seem as unlikely as a cow producing yogurt, but our research sheds light on this fascinating connection. Could it be that the Dutch have unlocked the secret to sustainable energy through their love of yogurt? Our findings point to the need for further exploration into the potential link between dairy products and renewable energy sources. As the saying goes, "When life gives you milk, make yogurt, and power your homes with biomass energy!

ChatGPT:

Netherlands, yogurt consumption, biomass power, renewable energy, correlation coefficient, sustainable energy, dairy products, energy generation, Netherlands energy consumption, yogurt and sustainable energy, Dutch renewable energy, yogurt production, biomass power generation, Netherlands energy sources

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

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Data details

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

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

Correlation r = 0.9522125 (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 = 0.9067087 (Coefficient of determination)
This means 90.7% of the change in the one variable (i.e., Biomass power generated in Netherlands) is predictable based on the change in the other (i.e., Yogurt consumption) over the 32 years from 1990 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 5.3E-17.^Show 0.0000000000000000533651531474
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 0.95 in 5.3E-15% of random cases. Said differently, if you correlated 18,738,820,016,835,668 random variables^Note You don't actually need 18 quadrillion 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 31 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 31 because we have two variables measured over a period of 32 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.

[ 0.9, 0.98 ] 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.

	1990	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000	2001	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021
Yogurt consumption (Pounds per person)	3.9	4.1	4.4	4.9	5.2	6.1	5.9	5.7	5.9	6.1	6.5	7	8	8.6	9.2	10.3	11.1	11.6	11.7	12.5	13.4	13.6	14	14.9	14.9	14.4	13.7	13.7	13.6	13.4	13.6	14.3
Biomass power generated in Netherlands (Billion kWh)	1.058	1.18	1.149	1.335	1.464	1.599	2.156	2.463	2.679	2.966	3.203	3.553	4.134	3.906	4.635	6.683	6.595	5.513	6.596	7.623	8.606	8.793	8.959	7.653	6.64	6.568	6.613	6.287	6.576	7.661	8.4	8.17715

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.

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([3.9,4.1,4.4,4.9,5.2,6.1,5.9,5.7,5.9,6.1,6.5,7,8,8.6,9.2,10.3,11.1,11.6,11.7,12.5,13.4,13.6,14,14.9,14.9,14.4,13.7,13.7,13.6,13.4,13.6,14.3,])
array_2 = np.array([1.058,1.18,1.149,1.335,1.464,1.599,2.156,2.463,2.679,2.966,3.203,3.553,4.134,3.906,4.635,6.683,6.595,5.513,6.596,7.623,8.606,8.793,8.959,7.653,6.64,6.568,6.613,6.287,6.576,7.661,8.4,8.17715,])
array_1_name = "Yogurt consumption"
array_2_name = "Biomass power generated in Netherlands"

# 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)
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Line chart for only Yogurt consumption
Line chart for only Biomass power generated in Netherlands
AI-generated correlation image
The spurious research paper: Cultivating Energy: The Yogurt-Biomass Power Connection in the Netherlands

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Correlation ID: 1774 · Black Variable ID: 568 · Red Variable ID: 23848


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