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Spurious correlation #1,618 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air pollution in Fort Wayne and the second variable is Kerosene used in United States.  The chart goes from 1980 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution decreased in Fort Wayne, it created an imbalance in the national kerosene-exchange ecosystem. This led to a reduced demand for competitive kerosene products, ultimately causing a nationwide decline in kerosene usage. The intricate web of kerosene supply and demand is truly a marvel to behold! Remember, these explanations are entirely fictional and for entertainment purposes only!

Model: dalle-3
Prompt: Create an otherworldly scene in a futuristic Fort Wayne, where the air is thick with pollution, concealing the towering cityscape in a haze. Dimly lit kerosene lamps flicker in the windows of rustic homes, contrasting against the backdrop of neon signs and holographic projections. The scene is a captivating blend of old and new, showcasing the coexistence of traditional and advanced technology in a dystopian future. 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: Unhealthy air quality in Fort Wayne and Kerosene used in United States. 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: Magic realism Cutsy art illustration Sci-fi fantacy Woodblock painting Oragami
ChatGPT: Sci-fi fantasy

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 Unhealthy air quality in Fort Wayne and Kerosene used in United States together. Keep the description simple.
ChatGPT: In Fort Wayne, the air hangs heavy with pollution, as kerosene lamps flicker in the windows of homes, casting a dim glow in the evening.

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: [ Sci-fi fantasy ] and depicting this scene: In Fort Wayne, the air hangs heavy with pollution, as kerosene lamps flicker in the windows of homes, casting a dim glow in the evening. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Create an otherworldly scene in a futuristic Fort Wayne, where the air is thick with pollution, concealing the towering cityscape in a haze. Dimly lit kerosene lamps flicker in the windows of rustic homes, contrasting against the backdrop of neon signs and holographic projections. The scene is a captivating blend of old and new, showcasing the coexistence of traditional and advanced technology in a dystopian future.

*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 Air pollution in Fort Wayne caused Kerosene used in United States to decrease.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)
The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States

The Journal of Environmental Interconnections

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 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.8206064 and p < 0.01 for 1980 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]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the old saying goes, "Where there's smoke, there's fire." In the case of air pollution in Fort Wayne, it seems that where there's smoke, there's kerosene. Our research aims to explore the combustible connection between these two seemingly unrelated entities and investigate whether there's more than just a passing whiff of correlation between them.

The pursuit of scientific truth often requires delving into unexpected territories, much like stumbling upon a hidden treasure in an old attic – or in this case, a correlation coefficient that jumps out at you like a scared cat when you turn on the lights. Our team delved into a trove of data from the Environmental Protection Agency and the Energy Information Administration, piecing together the puzzle of kerosene consumption in the United States and its potential impact on the air quality in Fort Wayne. Yes, we spent countless hours crunching numbers and running analyses, but we didn't let it dim our enthusiasm for shedding light on this captivating, if slightly offbeat, connection.

The correlation coefficient of 0.8206064 which emerged from our statistical analysis is no mere statistical flicker in the dark. This finding not only sparked our curiosity – pardon the pun – but also raised eyebrows among our colleagues who couldn't initially see the fire through the haze. The statistical significance (p < 0.01) further added fuel to the fire, affirming that there's more to this relationship than meets the eye.

So sit back, keep an open mind, and get ready to embark on a journey through the misty realms of air pollution and the fiery world of kerosene usage. Our findings promise to illuminate the path forward while stoking the fires of inquiry into this unexpected yet incendiary duo of variables. It's a tale of correlation and combustion, and we invite you to join us as we set ablaze the discussion on the environmental impact of domestic fuel sources.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the old saying goes, "Where there's smoke, there's fire." In the case of air pollution in Fort Wayne, it seems that where there's smoke, there's kerosene. Our research aims to explore the combustible connection between these two seemingly unrelated entities and investigate whether there's more than just a passing whiff of correlation between them.
The pursuit of scientific truth often requires delving into unexpected territories, much like stumbling upon a hidden treasure in an old attic – or in this case, a correlation coefficient that jumps out at you like a scared cat when you turn on the lights. Our team delved into a trove of data from the Environmental Protection Agency and the Energy Information Administration, piecing together the puzzle of kerosene consumption in the United States and its potential impact on the air quality in Fort Wayne. Yes, we spent countless hours crunching numbers and running analyses, but we didn't let it dim our enthusiasm for shedding light on this captivating, if slightly offbeat, connection.
The correlation coefficient of 0.8206064 which emerged from our statistical analysis is no mere statistical flicker in the dark. This finding not only sparked our curiosity – pardon the pun – but also raised eyebrows among our colleagues who couldn't initially see the fire through the haze. The statistical significance (p < 0.01) further added fuel to the fire, affirming that there's more to this relationship than meets the eye.
So sit back, keep an open mind, and get ready to embark on a journey through the misty realms of air pollution and the fiery world of kerosene usage. Our findings promise to illuminate the path forward while stoking the fires of inquiry into this unexpected yet incendiary duo of variables. It's a tale of correlation and combustion, and we invite you to join us as we set ablaze the discussion on the environmental impact of domestic fuel sources.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

It is essential to ground our research in the existing body of literature to ascertain the current state of knowledge regarding the potential interplay between air pollution and kerosene usage. Smith and Doe (2015) bring to light the complex chemical composition of airborne pollutants and their adverse effects on human health, providing a solid foundation for understanding the detrimental impacts of elevated air pollution levels on local communities. Jones (2018) furthers this understanding by investigating the societal and economic repercussions of air quality degradation, offering a comprehensive overview of the far-reaching consequences of pollution.

Turning our attention to kerosene usage, "Fueling the Nation: A Comprehensive Analysis of Domestic Fuel Sources" by Environmental Studies Institute (2019) compiles an exhaustive account of the historical trends and consumption patterns of various domestic fuels, shedding light on the prevailing reliance on kerosene as a primary source of energy in specific regions. Additionally, "The Burning Question: Domestic Fuel Dynamics in the Modern Era" by Energy Analysis Group (2020) delves into the complexities of domestic fuel dynamics, unraveling the intricate web of factors influencing kerosene consumption in the United States.

Venturing into the more imaginative realms of literature, the classic fiction novel "Burning Desires" by Ember Sparks (2017) tangentially explores the fervent desires that drive individuals to seek warmth and illumination in unconventional ways, serving as a metaphorical nod to the quest for understanding the fiery connection between air pollution and kerosene usage. On a similar note, the dystopian fiction series "Smoke and Mirrors" by Ashlyn Fumes (2018) intriguingly weaves together the enigmatic relationship between air quality and clandestine fuel sources, offering a speculative take on the potential clandestine dealings behind the scenes.

Drawing inspiration from the world of board games, the strategic game "Smog Over Fort Wayne" ingeniously interlaces urban planning with environmental advocacy, providing players with a thought-provoking simulation of the delicate balance between industrial development and air quality preservation. This unconventional source serves as a playful reminder of the multifaceted nature of our research topic, reminding us that the pursuit of knowledge can sometimes take unexpected and, dare I say, playful turns.

In light of these diverse sources, our study seeks to carve a distinctive niche within the existing body of knowledge, illuminating the nuanced relationship between air pollution in Fort Wayne and kerosene usage in the United States while infusing a spirit of curiosity and lighthearted exploration into this scintillating yet uncharted terrain.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 Environmental Protection Agency and Energy Information Administration . You used data from 1980 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]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

[[INTRODUCTION]]
As the old saying goes, "Where there's smoke, there's fire." In the case of air pollution in Fort Wayne, it seems that where there's smoke, there's kerosene. Our research aims to explore the combustible connection between these two seemingly unrelated entities and investigate whether there's more than just a passing whiff of correlation between them.
The pursuit of scientific truth often requires delving into unexpected territories, much like stumbling upon a hidden treasure in an old attic – or in this case, a correlation coefficient that jumps out at you like a scared cat when you turn on the lights. Our team delved into a trove of data from the Environmental Protection Agency and the Energy Information Administration, piecing together the puzzle of kerosene consumption in the United States and its potential impact on the air quality in Fort Wayne. Yes, we spent countless hours crunching numbers and running analyses, but we didn't let it dim our enthusiasm for shedding light on this captivating, if slightly offbeat, connection.
The correlation coefficient of 0.8206064 which emerged from our statistical analysis is no mere statistical flicker in the dark. This finding not only sparked our curiosity – pardon the pun – but also raised eyebrows among our colleagues who couldn't initially see the fire through the haze. The statistical significance (p < 0.01) further added fuel to the fire, affirming that there's more to this relationship than meets the eye.
So sit back, keep an open mind, and get ready to embark on a journey through the misty realms of air pollution and the fiery world of kerosene usage. Our findings promise to illuminate the path forward while stoking the fires of inquiry into this unexpected yet incendiary duo of variables. It's a tale of correlation and combustion, and we invite you to join us as we set ablaze the discussion on the environmental impact of domestic fuel sources.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To tackle the enigmatic entanglement of air pollution in Fort Wayne and the consumption of kerosene in the United States, our research team employed a multidimensional approach that would make even the most seasoned puzzle-solvers break a sweat. We gathered copious amounts of data from the Environmental Protection Agency and the Energy Information Administration, where our keen-eyed data scavengers scoured the vast digital expanse of information from 1980 to 2022.

Our first foray into the quagmire of statistics involved the utilization of multiple regression analysis to unravel the intricate tapestry of interwoven variables. We employed this technique to disentangle the potential influence of confounding factors, ensuring that our findings would stand strong against the gusts of skepticism. And believe us, there were more confounding factors than a lab rat in a maze, but we navigated through them with the grace of a tightrope walker with a penchant for statistical precision.

Furthermore, we ventured into the perilous terrain of geographic information systems (GIS), mapping out the geographical distribution of kerosene usage across the United States with the meticulousness of cartographers on a quest for undiscovered lands. We sought to uncover any regional patterns that might shed light on the radiating impact of kerosene consumption on the atmospheric canvas of Fort Wayne.

Our dogged determination for comprehensive analysis led us to employ state-of-the-art time series analysis, probing the temporal evolution of air pollution levels in Fort Wayne and the fluctuating tides of kerosene consumption in the United States. Armed with this temporal perspective, we illuminated the ebbs and flows of these variables, revealing the rhythmic dance of correlation beneath the shroud of arcane statistics.

To bolster our investigation, we ventured into the curious realm of sensitivity analysis, probing the robustness of our findings against the capricious winds of varying assumptions and model specifications. Like alchemists seeking the philosopher's stone, we sought the essence of truth within the crucible of alternative scenarios and what-if scenarios.

Lastly, we employed a novel referential approach, drawing parallels between our findings and the quirky world of pop culture references. While this may seem unorthodox, we found that these comparisons served as delightful mnemonic devices, aiding in the retention of crucial statistical nuances and injecting a dose of levity into the otherwise grave landscape of research methods.

In the end, our approach resembled a scientific symphony, harmonizing the dissonant notes of data collection, statistical analysis, and interpretative dance – metaphorically speaking. This multidimensional journey not only shed light on the convoluted connection between air pollution in Fort Wayne and kerosene usage in the United States but also left us with a newfound appreciation for the idiosyncratic beauty of empirical inquiry.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 Environmental Protection Agency and Energy Information Administration .

For the time period 1980 to 2022, you found a correlation 0.8206064, r-squared of 0.6733949, 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]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the old saying goes, "Where there's smoke, there's fire." In the case of air pollution in Fort Wayne, it seems that where there's smoke, there's kerosene. Our research aims to explore the combustible connection between these two seemingly unrelated entities and investigate whether there's more than just a passing whiff of correlation between them.
The pursuit of scientific truth often requires delving into unexpected territories, much like stumbling upon a hidden treasure in an old attic – or in this case, a correlation coefficient that jumps out at you like a scared cat when you turn on the lights. Our team delved into a trove of data from the Environmental Protection Agency and the Energy Information Administration, piecing together the puzzle of kerosene consumption in the United States and its potential impact on the air quality in Fort Wayne. Yes, we spent countless hours crunching numbers and running analyses, but we didn't let it dim our enthusiasm for shedding light on this captivating, if slightly offbeat, connection.
The correlation coefficient of 0.8206064 which emerged from our statistical analysis is no mere statistical flicker in the dark. This finding not only sparked our curiosity – pardon the pun – but also raised eyebrows among our colleagues who couldn't initially see the fire through the haze. The statistical significance (p < 0.01) further added fuel to the fire, affirming that there's more to this relationship than meets the eye.
So sit back, keep an open mind, and get ready to embark on a journey through the misty realms of air pollution and the fiery world of kerosene usage. Our findings promise to illuminate the path forward while stoking the fires of inquiry into this unexpected yet incendiary duo of variables. It's a tale of correlation and combustion, and we invite you to join us as we set ablaze the discussion on the environmental impact of domestic fuel sources.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our investigation into the potential connection between air pollution levels in Fort Wayne and kerosene consumption in the United States yielded some enlightening findings. The shining star of our results is the strong correlation coefficient of 0.8206064, which not only caught our attention but also kindled a fiery discussion among the research community. This robust correlation coefficient indicates a substantial positive relationship between the two variables, suggesting that where there's smoke in Fort Wayne, there's a high likelihood of a kerosene-related fire burning somewhere in the United States.

In addition to the impressive correlation coefficient, the r-squared value of 0.6733949 further reinforced the strength of the relationship between air pollution in Fort Wayne and kerosene usage in the United States. This r-squared value illuminated the extent to which changes in kerosene consumption contribute to variations in air pollution levels in Fort Wayne. The significance level (p < 0.01) for the correlation coefficient underscores the statistical robustness of our findings, supporting the conclusion that this is not just a statistical fluke but a genuine, substantive relationship.

Furthermore, the scatterplot (Fig. 1) showcases the compelling relationship between air pollution in Fort Wayne and kerosene usage in the United States. The plot visually illustrates the coherent pattern of the data points, leaving little room for doubt about the tangible link between the two variables. This striking visual depiction serves as a beacon, guiding us through the smokescreen of potential confounding variables and reaffirming the substantial connection between these two seemingly disparate factors.

With these results, we not only shed light on the combustible correlation between air pollution in Fort Wayne and kerosene usage in the United States but also sparked a discourse about the environmental implications of domestic fuel sources. This unexpected yet intriguing connection has illuminated new pathways for research and calls for further exploration into the incendiary world of variable relationships. Truly, science has once again proven to be a source of both illumination and ignition in unraveling the enigmatic ties between air pollution and kerosene usage.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

[[LITERATURE REVIEW]]
It is essential to ground our research in the existing body of literature to ascertain the current state of knowledge regarding the potential interplay between air pollution and kerosene usage. Smith and Doe (2015) bring to light the complex chemical composition of airborne pollutants and their adverse effects on human health, providing a solid foundation for understanding the detrimental impacts of elevated air pollution levels on local communities. Jones (2018) furthers this understanding by investigating the societal and economic repercussions of air quality degradation, offering a comprehensive overview of the far-reaching consequences of pollution.
Turning our attention to kerosene usage, "Fueling the Nation: A Comprehensive Analysis of Domestic Fuel Sources" by Environmental Studies Institute (2019) compiles an exhaustive account of the historical trends and consumption patterns of various domestic fuels, shedding light on the prevailing reliance on kerosene as a primary source of energy in specific regions. Additionally, "The Burning Question: Domestic Fuel Dynamics in the Modern Era" by Energy Analysis Group (2020) delves into the complexities of domestic fuel dynamics, unraveling the intricate web of factors influencing kerosene consumption in the United States.
Venturing into the more imaginative realms of literature, the classic fiction novel "Burning Desires" by Ember Sparks (2017) tangentially explores the fervent desires that drive individuals to seek warmth and illumination in unconventional ways, serving as a metaphorical nod to the quest for understanding the fiery connection between air pollution and kerosene usage. On a similar note, the dystopian fiction series "Smoke and Mirrors" by Ashlyn Fumes (2018) intriguingly weaves together the enigmatic relationship between air quality and clandestine fuel sources, offering a speculative take on the potential clandestine dealings behind the scenes.
Drawing inspiration from the world of board games, the strategic game "Smog Over Fort Wayne" ingeniously interlaces urban planning with environmental advocacy, providing players with a thought-provoking simulation of the delicate balance between industrial development and air quality preservation. This unconventional source serves as a playful reminder of the multifaceted nature of our research topic, reminding us that the pursuit of knowledge can sometimes take unexpected and, dare I say, playful turns.
In light of these diverse sources, our study seeks to carve a distinctive niche within the existing body of knowledge, illuminating the nuanced relationship between air pollution in Fort Wayne and kerosene usage in the United States while infusing a spirit of curiosity and lighthearted exploration into this scintillating yet uncharted terrain.

[[RESULTS]]
The results of our investigation into the potential connection between air pollution levels in Fort Wayne and kerosene consumption in the United States yielded some enlightening findings. The shining star of our results is the strong correlation coefficient of 0.8206064, which not only caught our attention but also kindled a fiery discussion among the research community. This robust correlation coefficient indicates a substantial positive relationship between the two variables, suggesting that where there's smoke in Fort Wayne, there's a high likelihood of a kerosene-related fire burning somewhere in the United States.
In addition to the impressive correlation coefficient, the r-squared value of 0.6733949 further reinforced the strength of the relationship between air pollution in Fort Wayne and kerosene usage in the United States. This r-squared value illuminated the extent to which changes in kerosene consumption contribute to variations in air pollution levels in Fort Wayne. The significance level (p < 0.01) for the correlation coefficient underscores the statistical robustness of our findings, supporting the conclusion that this is not just a statistical fluke but a genuine, substantive relationship.
Furthermore, the scatterplot (Fig. 1) showcases the compelling relationship between air pollution in Fort Wayne and kerosene usage in the United States. The plot visually illustrates the coherent pattern of the data points, leaving little room for doubt about the tangible link between the two variables. This striking visual depiction serves as a beacon, guiding us through the smokescreen of potential confounding variables and reaffirming the substantial connection between these two seemingly disparate factors.
With these results, we not only shed light on the combustible correlation between air pollution in Fort Wayne and kerosene usage in the United States but also sparked a discourse about the environmental implications of domestic fuel sources. This unexpected yet intriguing connection has illuminated new pathways for research and calls for further exploration into the incendiary world of variable relationships. Truly, science has once again proven to be a source of both illumination and ignition in unraveling the enigmatic ties between air pollution and kerosene usage.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The scintillating findings of our investigation into the relationship between air pollution levels in Fort Wayne and kerosene consumption in the United States have undoubtedly sparked a fiery conversation within the scientific community. While at first glance, the connection between these variables might seem as tenuous as a lone candle in a gusty wind, our results illuminate a robust correlation coefficient of 0.8206064, emphasizing the substantial positive relationship between these seemingly unrelated elements. As the flames of curiosity continue to flicker, our study provides empirical support for the notion that where there's smog, there's potential for some kerosene-related combustion elsewhere.

Building upon the shoulders of previous research, which delved into the fiery depths of air pollution and the combustible nature of kerosene consumption, our study reinforces the illuminating insights provided by Smith and Doe (2015), who shed light on the dangerous chemical composition of airborne pollutants, and Jones (2018), who explored the wide-reaching impact of pollution. Not to mention, let's not overlook the invaluable contributions of the Environmental Studies Institute (2019) and the Energy Analysis Group (2020), who fervently kindled our understanding of domestic fuel dynamics. Not to be overshadowed, the more imaginative works of Ember Sparks (2017) and Ashlyn Fumes (2018) have metaphorically stoked the flames of our inquiry with their evocative literary depictions of the interplay between air quality and clandestine fuel sources.

Our findings generated excitement comparable to a lit Bunsen burner as the statistically significant correlation coefficient, accompanied by an r-squared value of 0.6733949, illuminated the extent to which variations in kerosene consumption contribute to air pollution levels in Fort Wayne. Much like a well-lit laboratory, the scatterplot visually encapsulates the tangible connection between these variables, leaving little room for doubt – a blaze of evidence that fuels our excitement for further research into the incendiary world of variable relationships.

In conclusion, our study adds substantial fuel to the fire of knowledge, igniting further discussions on the environmental impact of domestic fuel sources and urging researchers to fan the flames of curiosity as we continue to unravel the mysterious and illuminative ties between air pollution and kerosene usage. Indeed, in the world of research, as in the realm of combustion, where there's smoke, there's undoubtedly a fire burning in the form of new discoveries and insightful revelations.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Air pollution in Fort Wayne and Kerosene used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
"The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States"

[[ABSTRACT]]
This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

[[INTRDUCTION]]
As the old saying goes, "Where there's smoke, there's fire." In the case of air pollution in Fort Wayne, it seems that where there's smoke, there's kerosene. Our research aims to explore the combustible connection between these two seemingly unrelated entities and investigate whether there's more than just a passing whiff of correlation between them.
The pursuit of scientific truth often requires delving into unexpected territories, much like stumbling upon a hidden treasure in an old attic – or in this case, a correlation coefficient that jumps out at you like a scared cat when you turn on the lights. Our team delved into a trove of data from the Environmental Protection Agency and the Energy Information Administration, piecing together the puzzle of kerosene consumption in the United States and its potential impact on the air quality in Fort Wayne. Yes, we spent countless hours crunching numbers and running analyses, but we didn't let it dim our enthusiasm for shedding light on this captivating, if slightly offbeat, connection.
The correlation coefficient of 0.8206064 which emerged from our statistical analysis is no mere statistical flicker in the dark. This finding not only sparked our curiosity – pardon the pun – but also raised eyebrows among our colleagues who couldn't initially see the fire through the haze. The statistical significance (p < 0.01) further added fuel to the fire, affirming that there's more to this relationship than meets the eye.
So sit back, keep an open mind, and get ready to embark on a journey through the misty realms of air pollution and the fiery world of kerosene usage. Our findings promise to illuminate the path forward while stoking the fires of inquiry into this unexpected yet incendiary duo of variables. It's a tale of correlation and combustion, and we invite you to join us as we set ablaze the discussion on the environmental impact of domestic fuel sources.

[[RESULTS]]
The results of our investigation into the potential connection between air pollution levels in Fort Wayne and kerosene consumption in the United States yielded some enlightening findings. The shining star of our results is the strong correlation coefficient of 0.8206064, which not only caught our attention but also kindled a fiery discussion among the research community. This robust correlation coefficient indicates a substantial positive relationship between the two variables, suggesting that where there's smoke in Fort Wayne, there's a high likelihood of a kerosene-related fire burning somewhere in the United States.
In addition to the impressive correlation coefficient, the r-squared value of 0.6733949 further reinforced the strength of the relationship between air pollution in Fort Wayne and kerosene usage in the United States. This r-squared value illuminated the extent to which changes in kerosene consumption contribute to variations in air pollution levels in Fort Wayne. The significance level (p < 0.01) for the correlation coefficient underscores the statistical robustness of our findings, supporting the conclusion that this is not just a statistical fluke but a genuine, substantive relationship.
Furthermore, the scatterplot (Fig. 1) showcases the compelling relationship between air pollution in Fort Wayne and kerosene usage in the United States. The plot visually illustrates the coherent pattern of the data points, leaving little room for doubt about the tangible link between the two variables. This striking visual depiction serves as a beacon, guiding us through the smokescreen of potential confounding variables and reaffirming the substantial connection between these two seemingly disparate factors.
With these results, we not only shed light on the combustible correlation between air pollution in Fort Wayne and kerosene usage in the United States but also sparked a discourse about the environmental implications of domestic fuel sources. This unexpected yet intriguing connection has illuminated new pathways for research and calls for further exploration into the incendiary world of variable relationships. Truly, science has once again proven to be a source of both illumination and ignition in unraveling the enigmatic ties between air pollution and kerosene usage.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the interplay between air pollution levels in Fort Wayne and kerosene consumption in the United States has ignited a fervent discussion within the scientific community. The compelling correlation coefficient of 0.8206064 serves as a shining beacon amidst the fog of variable relationships, illuminating the connection between these seemingly disparate factors. The robust statistical significance (p < 0.01) for this correlation further kindles the flames of inquiry, affirming that this is not just a statistical fluke but a genuine, substantive relationship – a revelation that is sure to set scientific hearts ablaze.

The r-squared value of 0.6733949 adds fuel to the fire, emphasizing the extent to which changes in kerosene consumption contribute to variations in air pollution levels in Fort Wayne. Through our scatterplot (Fig. 1), we have visually captured the coherent pattern of this connection, leaving little room for doubt about the combustible correlation between these variables. It's a tale of correlation and combustion, where statistical significance and visual evidence stoke the embers of curiosity, urging further exploration into this fiery relationship.

As we reflect upon our findings, we must acknowledge the burning question that remains: What more can be unveiled in this smoky realm of variable connections? It is clear that this area has been thoroughly researched, and no more exploration is needed. The flames of inquiry have been sufficiently fanned, and we can confidently say that this topic is as clear as the air in a fresh meadow after a rainstorm. Let's extinguish any thoughts of further inquiry – this area has been well and truly illuminated, and it's time to move on to new fiery frontiers in the world of environmental research.


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 The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Interconnections


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 The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States. Respond only with the name of a fictional organization.

ChatGPT:

The International Association for Atmospheric Alchemy Research


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 The Fumes That Bind: A Combustible Connection Between Air Pollution in Fort Wayne and Kerosene Usage in the United States with an abstract of This paper examines the potential connection between air pollution levels in Fort Wayne and the consumption of kerosene in the United States. Utilizing comprehensive data from the Environmental Protection Agency and the Energy Information Administration, our research team sought to investigate the ever-burning question of the relationship between these seemingly disparate factors. Our analysis revealed a strikingly high correlation coefficient of 0.8206064, with statistical significance (p < 0.01) for the years spanning 1980 to 2022. The findings not only shed light on the chemical link between air pollution and kerosene usage but also ignite discussions on the environmental impact of domestic fuel sources. This study offers valuable insights while also serving to fan the flames of curiosity surrounding this unlikely pair of variables.

ChatGPT:

air pollution, Fort Wayne, kerosene usage, United States, Environmental Protection Agency, Energy Information Administration, correlation coefficient, statistical significance, domestic fuel sources, environmental impact

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



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Data details

Air pollution in Fort Wayne
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in Fort Wayne, IN
Source: Environmental Protection Agency
See what else correlates with Air pollution in Fort Wayne

Kerosene used in United States
Detailed data title: Volume of kerosene used consumed in United States in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Kerosene used in United States

Correlation r = 0.8206064 (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 = 0.6733949 (Coefficient of determination)
This means 67.3% of the change in the one variable (i.e., Kerosene used in United States) is predictable based on the change in the other (i.e., Air pollution in Fort Wayne) over the 43 years from 1980 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.6E-11. 0.0000000000162727816738960900
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 0.82 in 1.6E-9% of random cases. Said differently, if you correlated 61,452,308,526 random variables You don't actually need 61 billion 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 42 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 42 because we have two variables measured over a period of 43 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.

[ 0.69, 0.9 ] 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.
1980198119821983198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022
Air pollution in Fort Wayne (Bad air quality days)13.72559.366399.5238117.630910.526311.36367.266449.3150712.84157.397265.753427.671235.191265.2054814.02449.944759.016396.02749.9431810.36414.39565.479459.589044.931511.6393410.1372.465755.479451.93370.8219182.465752.19784.371580.2739731.643840.5479450.8196720.2739731.643840.2739730.54644800.821918
Kerosene used in United States (Million Barrels/Day)158126.882128.559127.008115.123113.83698.358994.569996.117584.142542.567146.369941.423549.646649.032954.06361.789666.030178.098673.112367.327972.290443.347954.627464.295169.808353.682632.139114.228617.547419.929212.24085.275915.197138.996046.385858.670625.177475.412616.771427.493625.943435.25028




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([13.7255,9.36639,9.52381,17.6309,10.5263,11.3636,7.26644,9.31507,12.8415,7.39726,5.75342,7.67123,5.19126,5.20548,14.0244,9.94475,9.01639,6.0274,9.94318,10.3641,4.3956,5.47945,9.58904,4.93151,1.63934,10.137,2.46575,5.47945,1.9337,0.821918,2.46575,2.1978,4.37158,0.273973,1.64384,0.547945,0.819672,0.273973,1.64384,0.273973,0.546448,0,0.821918,])
array_2 = np.array([158,126.882,128.559,127.008,115.123,113.836,98.3589,94.5699,96.1175,84.1425,42.5671,46.3699,41.4235,49.6466,49.0329,54.063,61.7896,66.0301,78.0986,73.1123,67.3279,72.2904,43.3479,54.6274,64.2951,69.8083,53.6826,32.1391,14.2286,17.5474,19.9292,12.2408,5.27591,5.19713,8.99604,6.38585,8.67062,5.17747,5.41261,6.77142,7.49362,5.94343,5.25028,])
array_1_name = "Air pollution in Fort Wayne"
array_2_name = "Kerosene used in United States"

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

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



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

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

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Correlation ID: 1618 · Black Variable ID: 20646 · Red Variable ID: 25053
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