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Spurious correlation #1,219 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Robberies in California and the second variable is Gasoline pumped in Austria.  The chart goes from 1985 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The decrease in robberies in California led to a decrease in the demand for getaway cars. This meant that there was a surplus of cars in California, so they started exporting them to Austria. With more cars in Austria, there was a higher demand for gas, leading to a decrease in the amount of gasoline pumped. The whole situation was quite the car-ma for the Austrian gas stations.

Model: dalle-3
Prompt: Generate an image of a bustling California street, where the reduced crime rate is evident. Show fewer police cars and an increased sense of security. Then, shift to a quiet gas station in Austria, where people are opting for alternative transportation due to the decreased crime involving cars. Depict the scenes with a touch of magic realism, enhancing the colors and blending in elements of fantasy to highlight the shifting dynamics in both locations. The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.
This image generation prompt was also generated by AI, using the following sequence:

Model: gpt-3.5-turbo-1106
System prompt: You select one of a few potential scene descriptors that seems to go along with the situation described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here is a situation: The decrease in robberies in California led to a decrease in gasoline pumped in Austria because the reduction in criminal activity meant fewer getaway car chases, resulting in less demand for gasoline internationally. Criminals in Austria were forced to find alternative means of transportation, leading to a decrease in gasoline consumption overall.. Given that situation, which of the following image descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand and the tone of the explanation. Please respond with only one of the following potential descriptions: Glitch art Cute 2D animation Magic realism Psychedelic Vaporwave
ChatGPT: Magic Realism

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated and the explanation described. Do not reference graphs or charts; describe physical objects.
User prompt: Please describe a visual scene that depicts the following situation. Keep the description simple. The decrease in robberies in California led to a decrease in gasoline pumped in Austria because the reduction in criminal activity meant fewer getaway car chases, resulting in less demand for gasoline internationally. Criminals in Austria were forced to find alternative means of transportation, leading to a decrease in gasoline consumption overall.
ChatGPT: Imagine a busy street in California, where the crime rate has been decreasing. You can see fewer police cars chasing robbers, and the overall sense of security increasing. Now, shift your attention to a gas station in Austria. Instead of seeing long lines of cars waiting to fill up, the scene is much quieter. People seem to be choosing other forms of transportation as criminals have been finding it harder to utilize cars for their illegal activities.

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: [ Magic Realism ] and depicting this scene: Imagine a busy street in California, where the crime rate has been decreasing. You can see fewer police cars chasing robbers, and the overall sense of security increasing. Now, shift your attention to a gas station in Austria. Instead of seeing long lines of cars waiting to fill up, the scene is much quieter. People seem to be choosing other forms of transportation as criminals have been finding it harder to utilize cars for their illegal activities. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a bustling California street, where the reduced crime rate is evident. Show fewer police cars and an increased sense of security. Then, shift to a quiet gas station in Austria, where people are opting for alternative transportation due to the decreased crime involving cars. Depict the scenes with a touch of magic realism, enhancing the colors and blending in elements of fantasy to highlight the shifting dynamics in both locations.

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

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how a decrease in Robberies in California caused Gasoline pumped in Austria to decrease. Include one good pun.

AI academic paper

(Because p < 0.01)
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

The Journal of Transcontinental Criminology

Jan 2024

Reminder: This paper is AI-generated. Not real!
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns.

Rhyme words in the title.

Your research team used data from FBI Criminal Justice Information Services and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.9315231 and p < 0.01 for 1985 to 2022.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

Friends, colleagues, and esteemed members of the academe, welcome to the wild world of statistics and curiosity! In the illustrious tradition of uncovering unexpected connections and unraveling mysterious paradoxes, we present to you the mind-boggling correlation between robberies in California and gasoline pumped in Austria. Yes, you read that correctly – we are delving into the enigmatic link between fuel theft and overseas trees, or in more scientific terms, the curious relationship between crime rates in the Golden State and the consumption of gasoline in the land of schnitzels and strudels.

As any keen researcher would acknowledge, the task of identifying, exploring, and dissecting unlikely correlations is as much an art as it is a science. It requires a sense of whimsy, a dash of skepticism, and a healthy serving of statistical rigor. So, bear with us as we embark on this whimsical journey of discovery, where robberies and gasoline merge to form an unexpected tale of interconnectedness.

Upon delving into the vast sea of data provided by the FBI Criminal Justice Information Services and the Energy Information Administration, we were met with a shocking revelation – a correlation coefficient so high, it could make even the most seasoned statisticians do a double take. Our analysis yielded a correlation coefficient of 0.9315231, indicating a relationship so strong, it might just have broken free from the shackles of statistical expectations and taken on a life of its own. Moreover, the accompanying statistical significance with a p-value less than 0.01 further solidified the existence of this seemingly inconceivable association.

As we present our findings, we invite you to don your most curious hats and join us in pondering the possibility that the occurrence of crimes in California and the consumption of gasoline in Austria may not be as unconnected as one might assume. Is there a tale to be told in the ebb and flow of robbery rates and gallons of fuel, or are we merely witnessing a statistical fluke of cosmic proportions? Let us embark on this whimsical journey together, as we unravel the bizarre and bewildering tapestry of this unexpected phenomenon.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then you might move on to cartoons and children's shows that you watched for research.

Here is the title and abstract of the paper:
[[TITLE]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
Friends, colleagues, and esteemed members of the academe, welcome to the wild world of statistics and curiosity! In the illustrious tradition of uncovering unexpected connections and unraveling mysterious paradoxes, we present to you the mind-boggling correlation between robberies in California and gasoline pumped in Austria. Yes, you read that correctly – we are delving into the enigmatic link between fuel theft and overseas trees, or in more scientific terms, the curious relationship between crime rates in the Golden State and the consumption of gasoline in the land of schnitzels and strudels.
As any keen researcher would acknowledge, the task of identifying, exploring, and dissecting unlikely correlations is as much an art as it is a science. It requires a sense of whimsy, a dash of skepticism, and a healthy serving of statistical rigor. So, bear with us as we embark on this whimsical journey of discovery, where robberies and gasoline merge to form an unexpected tale of interconnectedness.
Upon delving into the vast sea of data provided by the FBI Criminal Justice Information Services and the Energy Information Administration, we were met with a shocking revelation – a correlation coefficient so high, it could make even the most seasoned statisticians do a double take. Our analysis yielded a correlation coefficient of 0.9315231, indicating a relationship so strong, it might just have broken free from the shackles of statistical expectations and taken on a life of its own. Moreover, the accompanying statistical significance with a p-value less than 0.01 further solidified the existence of this seemingly inconceivable association.
As we present our findings, we invite you to don your most curious hats and join us in pondering the possibility that the occurrence of crimes in California and the consumption of gasoline in Austria may not be as unconnected as one might assume. Is there a tale to be told in the ebb and flow of robbery rates and gallons of fuel, or are we merely witnessing a statistical fluke of cosmic proportions? Let us embark on this whimsical journey together, as we unravel the bizarre and bewildering tapestry of this unexpected phenomenon.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith et al. (2018) conducted a comprehensive study on the socio-economic factors influencing crime rates in California, providing valuable insights into the complex dynamics of criminal activities in the region. Doe and Jones (2020) also delved into the behavioral patterns of gasoline consumption in European countries, offering a detailed analysis of the factors driving fuel consumption trends across various nations. These seminal works shed light on the individual components of our seemingly inexplicable correlation, serving as the foundational pillars upon which our investigation stands.

Turning to the realm of non-fiction literature, "Freakonomics" by Steven D. Levitt and Stephen J. Dubner examines the hidden connections and unconventional relationships between seemingly unrelated phenomena. While ostensibly unrelated, the analysis in "The Tipping Point" by Malcolm Gladwell also highlights the unexpected ties and hidden influences that underlie societal trends.

Steering into the world of fiction, the works of Dan Brown, particularly "The Da Vinci Code" and "Angels & Demons," prompt readers to reconsider the significance of cryptic connections and elaborate conspiracies. Similarly, the intricate plot twists in Agatha Christie’s "Murder on the Orient Express" offer a thrilling exploration of convoluted correlations and hidden motives.

In an effort to gain a deeper understanding of unexpected relationships, the researchers, much to their surprise, found themselves turning to cartoons and children's shows. The detective skills of Scooby-Doo and the Mystery Inc. gang proved invaluable in honing their ability to unravel complex mysteries. Additionally, the profound wisdom of "Sesame Street" provided unexpected insights into the power of unlikely partnerships and the magic of cooperation.

Through this eclectic journey into literature and popular media, the authors find themselves armed with a newfound appreciation for the unexpected, paving the way for a whimsical exploration of the perplexing connection between robberies in California and gasoline pumped in Austria.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from FBI Criminal Justice Information Services and Energy Information Administration . You used data from 1985 to 2022

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]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

[[INTRODUCTION]]
INTRODUCTION
Friends, colleagues, and esteemed members of the academe, welcome to the wild world of statistics and curiosity! In the illustrious tradition of uncovering unexpected connections and unraveling mysterious paradoxes, we present to you the mind-boggling correlation between robberies in California and gasoline pumped in Austria. Yes, you read that correctly – we are delving into the enigmatic link between fuel theft and overseas trees, or in more scientific terms, the curious relationship between crime rates in the Golden State and the consumption of gasoline in the land of schnitzels and strudels.
As any keen researcher would acknowledge, the task of identifying, exploring, and dissecting unlikely correlations is as much an art as it is a science. It requires a sense of whimsy, a dash of skepticism, and a healthy serving of statistical rigor. So, bear with us as we embark on this whimsical journey of discovery, where robberies and gasoline merge to form an unexpected tale of interconnectedness.
Upon delving into the vast sea of data provided by the FBI Criminal Justice Information Services and the Energy Information Administration, we were met with a shocking revelation – a correlation coefficient so high, it could make even the most seasoned statisticians do a double take. Our analysis yielded a correlation coefficient of 0.9315231, indicating a relationship so strong, it might just have broken free from the shackles of statistical expectations and taken on a life of its own. Moreover, the accompanying statistical significance with a p-value less than 0.01 further solidified the existence of this seemingly inconceivable association.
As we present our findings, we invite you to don your most curious hats and join us in pondering the possibility that the occurrence of crimes in California and the consumption of gasoline in Austria may not be as unconnected as one might assume. Is there a tale to be told in the ebb and flow of robbery rates and gallons of fuel, or are we merely witnessing a statistical fluke of cosmic proportions? Let us embark on this whimsical journey together, as we unravel the bizarre and bewildering tapestry of this unexpected phenomenon.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

METHODOLOGY

We embarked on this whimsical journey of unraveling the perplexing link between the incidence of robberies in California and the quantity of gasoline pumped in Austria by employing a combination of rigorous statistical analyses and a touch of playful curiosity. Our data, spanning the years from 1985 to 2022, were sourced primarily from the FBI Criminal Justice Information Services and the Energy Information Administration. These venerable institutions served as the bedrock of our investigation into the unexpected correlation between fuel thievery and overseas trees.

To kick off our convoluted yet undeniably groundbreaking research approach, we employed a method affectionately dubbed the "Sherlock Statistical Sleuth." This daring method involved poring over endless rows and columns of data, donning our metaphorical deerstalker hats, and scouring for any glimmer of a connection between the seemingly disparate worlds of Californian crime and Austrian fuel consumption. While we did not uncover any smoking pipes in the process, we did uncover a correlation coefficient so striking that it would have made even the keenest fictional detective take notice.

Continuing our tour through the wacky world of research methods, we also resorted to the "Kooky Correlation Conundrum." This involved juxtaposing the fluctuations in robberies in sunny California with the ebb and flow of gasoline consumption in the picturesque Austrian countryside. Armed with an arsenal of mathematical calculations and a healthy dose of skepticism, we scrutinized this seemingly preposterous relationship with a rigor rivaled only by the most intrepid explorers.

Not content with confining our investigation to conventional statistical means, we also delved into the realm of "Austere Austrian Analysis." This distinguished approach involved immersing ourselves in the cultural and economic landscape of Austria, all in a gallant effort to plumb the depths of gasoline consumption and its potential link to transcontinental thievery. While we did not unearth any alpine treasures, our foray into the empirical heart of Austria broadened our understanding of this unexpected connection.

Last but certainly not least, we harnessed the power of "Californian Caper Calculations." This method entailed analyzing the various factors that could potentially contribute to the stark correlation observed, from socioeconomic conditions to environmental variables, all while trying to maintain our sense of humor in the face of statistical surprises.

In summary, our approach to unraveling the enigmatic correlation between robberies in California and gasoline pumped in Austria was a testament to the marriage of statistical rigor and waggish wonder. Through the innovative and, dare we say, whimsical use of research methods, we endeavored to bring forth a study that not only challenges conventional wisdom but also tickles the fancies of even the most stoic of researchers.

In the spirit of discovery and amusement, we invite our esteemed readers to join us in pondering the peculiarities of this unexpected correlation and partake in the merriment of unraveling the delightful tale of fuel thieves and overseas trees.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

For the time period 1985 to 2022, you found a correlation 0.9315231, r-squared of 0.8677354, 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]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
Friends, colleagues, and esteemed members of the academe, welcome to the wild world of statistics and curiosity! In the illustrious tradition of uncovering unexpected connections and unraveling mysterious paradoxes, we present to you the mind-boggling correlation between robberies in California and gasoline pumped in Austria. Yes, you read that correctly – we are delving into the enigmatic link between fuel theft and overseas trees, or in more scientific terms, the curious relationship between crime rates in the Golden State and the consumption of gasoline in the land of schnitzels and strudels.
As any keen researcher would acknowledge, the task of identifying, exploring, and dissecting unlikely correlations is as much an art as it is a science. It requires a sense of whimsy, a dash of skepticism, and a healthy serving of statistical rigor. So, bear with us as we embark on this whimsical journey of discovery, where robberies and gasoline merge to form an unexpected tale of interconnectedness.
Upon delving into the vast sea of data provided by the FBI Criminal Justice Information Services and the Energy Information Administration, we were met with a shocking revelation – a correlation coefficient so high, it could make even the most seasoned statisticians do a double take. Our analysis yielded a correlation coefficient of 0.9315231, indicating a relationship so strong, it might just have broken free from the shackles of statistical expectations and taken on a life of its own. Moreover, the accompanying statistical significance with a p-value less than 0.01 further solidified the existence of this seemingly inconceivable association.
As we present our findings, we invite you to don your most curious hats and join us in pondering the possibility that the occurrence of crimes in California and the consumption of gasoline in Austria may not be as unconnected as one might assume. Is there a tale to be told in the ebb and flow of robbery rates and gallons of fuel, or are we merely witnessing a statistical fluke of cosmic proportions? Let us embark on this whimsical journey together, as we unravel the bizarre and bewildering tapestry of this unexpected phenomenon.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our analysis of the data collected from the FBI Criminal Justice Information Services and Energy Information Administration unveils a fascinating discovery. We found an incredibly strong correlation of 0.9315231 between the number of robberies in California and the amount of gasoline pumped in Austria from 1985 to 2022. This correlation is so strong, it's as if these two variables were holding hands across the Pacific and dancing the statistical tango! The r-squared value of 0.8677354 further emphasizes the robustness of this relationship. It's as if these two variables were best buddies, sharing secrets and giggles along the statistical garden path.

The p-value of less than 0.01 adds a cherry on top of this already mind-boggling correlation sundae. This level of statistical significance is so strong, it's like trying to deny the existence of gravity – it just can't be done! The probability of this correlation occurring by chance is so low, it's akin to winning the lottery while being struck by a comet – it's practically astronomical!

We are thrilled to present the scatterplot (Fig. 1) showcasing the striking correlation between robberies in California and gasoline pumped in Austria. It's almost as if each data point is waving excitedly, shouting, "Look at us, we're connected in an inexplicable manner!"

These findings challenge the conventional wisdom that geographical and cultural differences act as impenetrable barriers to the interconnectedness of events. Fuel thieves and overseas trees may not be as distinct as one might assume. This leads us to ponder whether there are underlying factors or elusive forces at play that defy our current understanding.

In conclusion, our study sheds light on the mysterious and eccentric web of connections that underpin seemingly unrelated phenomena. We invite fellow researchers to join us in this journey of statistical whimsy and anomalous correlations, as we continue to unravel the enigmatic tapestry of interconnectedness in our ever-surprising world.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

[[LITERATURE REVIEW]]
Smith et al. (2018) conducted a comprehensive study on the socio-economic factors influencing crime rates in California, providing valuable insights into the complex dynamics of criminal activities in the region. Doe and Jones (2020) also delved into the behavioral patterns of gasoline consumption in European countries, offering a detailed analysis of the factors driving fuel consumption trends across various nations. These seminal works shed light on the individual components of our seemingly inexplicable correlation, serving as the foundational pillars upon which our investigation stands.
Turning to the realm of non-fiction literature, "Freakonomics" by Steven D. Levitt and Stephen J. Dubner examines the hidden connections and unconventional relationships between seemingly unrelated phenomena. While ostensibly unrelated, the analysis in "The Tipping Point" by Malcolm Gladwell also highlights the unexpected ties and hidden influences that underlie societal trends.
Steering into the world of fiction, the works of Dan Brown, particularly "The Da Vinci Code" and "Angels & Demons," prompt readers to reconsider the significance of cryptic connections and elaborate conspiracies. Similarly, the intricate plot twists in Agatha Christie’s "Murder on the Orient Express" offer a thrilling exploration of convoluted correlations and hidden motives.
In an effort to gain a deeper understanding of unexpected relationships, the researchers, much to their surprise, found themselves turning to cartoons and children's shows. The detective skills of Scooby-Doo and the Mystery Inc. gang proved invaluable in honing their ability to unravel complex mysteries. Additionally, the profound wisdom of "Sesame Street" provided unexpected insights into the power of unlikely partnerships and the magic of cooperation.
Through this eclectic journey into literature and popular media, the authors find themselves armed with a newfound appreciation for the unexpected, paving the way for a whimsical exploration of the perplexing connection between robberies in California and gasoline pumped in Austria.

[[RESULTS]]
Our analysis of the data collected from the FBI Criminal Justice Information Services and Energy Information Administration unveils a fascinating discovery. We found an incredibly strong correlation of 0.9315231 between the number of robberies in California and the amount of gasoline pumped in Austria from 1985 to 2022. This correlation is so strong, it's as if these two variables were holding hands across the Pacific and dancing the statistical tango! The r-squared value of 0.8677354 further emphasizes the robustness of this relationship. It's as if these two variables were best buddies, sharing secrets and giggles along the statistical garden path.
The p-value of less than 0.01 adds a cherry on top of this already mind-boggling correlation sundae. This level of statistical significance is so strong, it's like trying to deny the existence of gravity – it just can't be done! The probability of this correlation occurring by chance is so low, it's akin to winning the lottery while being struck by a comet – it's practically astronomical!
We are thrilled to present the scatterplot (Fig. 1) showcasing the striking correlation between robberies in California and gasoline pumped in Austria. It's almost as if each data point is waving excitedly, shouting, "Look at us, we're connected in an inexplicable manner!"
These findings challenge the conventional wisdom that geographical and cultural differences act as impenetrable barriers to the interconnectedness of events. Fuel thieves and overseas trees may not be as distinct as one might assume. This leads us to ponder whether there are underlying factors or elusive forces at play that defy our current understanding.
In conclusion, our study sheds light on the mysterious and eccentric web of connections that underpin seemingly unrelated phenomena. We invite fellow researchers to join us in this journey of statistical whimsy and anomalous correlations, as we continue to unravel the enigmatic tapestry of interconnectedness in our ever-surprising world.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

Ah, the moment we've all been waiting for – the discussion section! Let's dive into the kaleidoscope of quirky correlations and ponder the mystifying connection between robberies in California and gasoline pumped in Austria. Our findings have left us feeling like detectives solving a case from a Scooby-Doo episode, where the criminal turns out to be the eerie coincidence lurking in the shadows of statistical analyses.

Our results not only support, but practically hug, the previous research by Smith et al. (2018) and Doe and Jones (2020) on socio-economic factors influencing crime rates in California and fuel consumption behaviors in European countries. It's like these studies were all nodding in approval, saying, "We told you there was something there – and now here it is, glaring at you from the scatterplot!"

The unexpected ties and hidden influences that our analysis unraveled bring to mind the intriguing parallels in "The Tipping Point" by Malcolm Gladwell. This bewildering correlation is the tipping point of our understanding, where seemingly incongruous variables teeter on the edge of obscurity before toppling into the realm of statistical significance.

In the world of fiction, the complex plot twists in Agatha Christie's "Murder on the Orient Express" resonate with our findings. It's as if each observation in our data set is a suspect, all linked in an unbelievably strong alibi that defies rational explanation.

Our study's r-squared value of 0.8677354 is akin to two puzzle pieces fitting together flawlessly, as if they were made for each other from the statistical jigsaw factory. The p-value of less than 0.01 adds a touch of flair to this statistical extravaganza – it's as if the universe itself conspired to bring these two variables into an inexplicable dance of data.

The implications of our findings extend beyond conventional wisdom, challenging the very fabric of our understanding of interconnectedness. It's like finding out that the Loch Ness Monster and Bigfoot were actually distant relatives all along. The underlying factors driving this enigmatic correlation are as elusive as a mystery wrapped in an enigma, adorned with a statistical bow tie.

In the spirit of "Freakonomics," our study invites readers to reconsider the world through the lens of unconventional connections. Perhaps, beneath the surface of seemingly disparate events, there exists a hidden harmony, waiting to be uncovered by the intrepid explorers of statistical whimsy. As we navigate this captivating labyrinth of correlations, we strive to unravel the riddles that intertwine the tapestry of our unpredictable world.



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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Robberies in California and Gasoline pumped in Austria. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria

[[ABSTRACT]]
This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

[[INTRDUCTION]]
INTRODUCTION
Friends, colleagues, and esteemed members of the academe, welcome to the wild world of statistics and curiosity! In the illustrious tradition of uncovering unexpected connections and unraveling mysterious paradoxes, we present to you the mind-boggling correlation between robberies in California and gasoline pumped in Austria. Yes, you read that correctly – we are delving into the enigmatic link between fuel theft and overseas trees, or in more scientific terms, the curious relationship between crime rates in the Golden State and the consumption of gasoline in the land of schnitzels and strudels.
As any keen researcher would acknowledge, the task of identifying, exploring, and dissecting unlikely correlations is as much an art as it is a science. It requires a sense of whimsy, a dash of skepticism, and a healthy serving of statistical rigor. So, bear with us as we embark on this whimsical journey of discovery, where robberies and gasoline merge to form an unexpected tale of interconnectedness.
Upon delving into the vast sea of data provided by the FBI Criminal Justice Information Services and the Energy Information Administration, we were met with a shocking revelation – a correlation coefficient so high, it could make even the most seasoned statisticians do a double take. Our analysis yielded a correlation coefficient of 0.9315231, indicating a relationship so strong, it might just have broken free from the shackles of statistical expectations and taken on a life of its own. Moreover, the accompanying statistical significance with a p-value less than 0.01 further solidified the existence of this seemingly inconceivable association.
As we present our findings, we invite you to don your most curious hats and join us in pondering the possibility that the occurrence of crimes in California and the consumption of gasoline in Austria may not be as unconnected as one might assume. Is there a tale to be told in the ebb and flow of robbery rates and gallons of fuel, or are we merely witnessing a statistical fluke of cosmic proportions? Let us embark on this whimsical journey together, as we unravel the bizarre and bewildering tapestry of this unexpected phenomenon.

[[RESULTS]]
Our analysis of the data collected from the FBI Criminal Justice Information Services and Energy Information Administration unveils a fascinating discovery. We found an incredibly strong correlation of 0.9315231 between the number of robberies in California and the amount of gasoline pumped in Austria from 1985 to 2022. This correlation is so strong, it's as if these two variables were holding hands across the Pacific and dancing the statistical tango! The r-squared value of 0.8677354 further emphasizes the robustness of this relationship. It's as if these two variables were best buddies, sharing secrets and giggles along the statistical garden path.
The p-value of less than 0.01 adds a cherry on top of this already mind-boggling correlation sundae. This level of statistical significance is so strong, it's like trying to deny the existence of gravity – it just can't be done! The probability of this correlation occurring by chance is so low, it's akin to winning the lottery while being struck by a comet – it's practically astronomical!
We are thrilled to present the scatterplot (Fig. 1) showcasing the striking correlation between robberies in California and gasoline pumped in Austria. It's almost as if each data point is waving excitedly, shouting, "Look at us, we're connected in an inexplicable manner!"
These findings challenge the conventional wisdom that geographical and cultural differences act as impenetrable barriers to the interconnectedness of events. Fuel thieves and overseas trees may not be as distinct as one might assume. This leads us to ponder whether there are underlying factors or elusive forces at play that defy our current understanding.
In conclusion, our study sheds light on the mysterious and eccentric web of connections that underpin seemingly unrelated phenomena. We invite fellow researchers to join us in this journey of statistical whimsy and anomalous correlations, as we continue to unravel the enigmatic tapestry of interconnectedness in our ever-surprising world.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In wrapping up this delightfully perplexing study, we are left marveling at the implausible kinship between robberies in California and gasoline pumped in Austria. It's as if Bonnie and Clyde found their fuel for shenanigans in the midst of Mozart's symphonies! These findings tickle the statistical funny bone, leaving us to ponder whether there's a grand heist of causation at play or if our data has taken on a life of its own. The correlation coefficient of 0.9315231 is so high, it's like finding a four-leaf clover while riding a unicorn – statistically improbable yet mesmerizingly real. The r-squared value of 0.8677354 further solidifies the unbreakable bond akin to an inseparable comedy duo – Laurel and Hardy, peanut butter and jelly, or the statistical odd couple!

The p-value of less than 0.01 winks at us mischievously, whispering, "This connection isn't by chance, folks!" It's as if these variables conspired to defy the laws of statistical gravity and dance the foxtrot of fate. The scatter plot (Fig. 1) captivates us with its animated data points, almost as if they're auditioning for a quirky statistical musical – "Robberies and Gasoline: A Whimsical Tale of Correlation!"

Alas, fellow researchers, we must bid adieu to this whimsical odyssey of improbable connections. It seems that no further research is needed in this area – for now, at least. So, let us raise our glasses to the untold stories of intercontinental crime and fuel, and may our future research endeavors be just as delightfully confounding!


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 Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Transcontinental Criminology


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria. Respond only with the name of a fictional organization.

ChatGPT:

The Consortium for Global Energy Security and Crime Prevention


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Fuel Thieves and Overseas Trees: Exploring the Link Between Robberies in California and Gasoline Pumped in Austria with an abstract of This research paper delves into the peculiar relationship between the incidence of robberies in California and the amount of gasoline pumped in Austria. Despite the geographical and cultural distance between these two regions, our analysis reveals a surprisingly strong correlation. Our study utilizes robust data from the FBI Criminal Justice Information Services and Energy Information Administration, covering the years 1985 to 2022. The analysis yields a correlation coefficient of 0.9315231, indicating a remarkably strong connection. Additionally, we find that the statistical significance (p < 0.01) further supports the existence of this unexpected association. This paper aims to unravel this perplexing phenomenon and invites readers to ponder the bizarre interconnectedness of seemingly disparate events.

ChatGPT:

California robberies, gasoline pumped in Austria, correlation, crime statistics, Energy Information Administration, FBI Criminal Justice Information Services, statistical significance, interconnectedness, gasoline consumption, crime analysis

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



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Data details

Robberies in California
Detailed data title: The robbery rate per 100,000 residents in California
Source: FBI Criminal Justice Information Services
See what else correlates with Robberies in California

Gasoline pumped in Austria
Detailed data title: Volume of gasoline pumped consumed in Austria in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Gasoline pumped in Austria

Correlation r = 0.9315231 (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 = 0.8677354 (Coefficient of determination)
This means 86.8% of the change in the one variable (i.e., Gasoline pumped in Austria) is predictable based on the change in the other (i.e., Robberies in California) over the 38 years from 1985 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.2E-17. 0.0000000000000000216691492627
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

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

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.93 in 2.2E-15% of random cases. Said differently, if you correlated 46,148,558,389,476,840 random variables You don't actually need 46 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 37 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 37 because we have two variables measured over a period of 38 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.

[ 0.87, 0.96 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

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


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

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
19851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022
Robberies in California (Robbery rate)327.7342.9301.3305.8331.8377411.3424.1405.1356.8331.2295.6252.5210.6181.1177.9186.7185.6179.8172.3176195.1193.4188.8173.4155.6144.1148.7139.6125.5135.6139.4143.7137.7132.6113.6114.1123.5
Gasoline pumped in Austria (Million Barrels/Day)56.252157.019257.961659.101160.095959.060364.61161.800559.495957.435655.397351.251448.734251.024747.575345.73546.07449.657550.835649.866148.772646.117845.515143.978143.224742.906839.802739.598438.553437.569937.978137.808737.476738.38938.197331.830633.342534.7233




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([327.7,342.9,301.3,305.8,331.8,377,411.3,424.1,405.1,356.8,331.2,295.6,252.5,210.6,181.1,177.9,186.7,185.6,179.8,172.3,176,195.1,193.4,188.8,173.4,155.6,144.1,148.7,139.6,125.5,135.6,139.4,143.7,137.7,132.6,113.6,114.1,123.5,])
array_2 = np.array([56.2521,57.0192,57.9616,59.1011,60.0959,59.0603,64.611,61.8005,59.4959,57.4356,55.3973,51.2514,48.7342,51.0247,47.5753,45.735,46.074,49.6575,50.8356,49.8661,48.7726,46.1178,45.5151,43.9781,43.2247,42.9068,39.8027,39.5984,38.5534,37.5699,37.9781,37.8087,37.4767,38.389,38.1973,31.8306,33.3425,34.7233,])
array_1_name = "Robberies in California"
array_2_name = "Gasoline pumped in Austria"

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

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



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Correlation ID: 1219 · Black Variable ID: 20215 · Red Variable ID: 24162
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