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Spurious correlation #2,668 · 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 Ithaca and the second variable is Kerosene used in Peru.  The chart goes from 1990 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution in Ithaca decreased, the local pigeons felt rejuvenated and decided to take up international diplomacy. They negotiated a pigeon peace treaty that led to a decrease in the production and use of kerosene in Peru for pigeon-powered heating and lighting systems. The pigeons are now working on a global clean energy initiative, one dropping at a time.

Model: dalle-3
Prompt: Generate an image of a sprawling, futuristic cityscape in Ithaca, enveloped in a thick layer of polluted air. The towering buildings are obscured by smog, and cars and factories release billows of toxic fumes into the atmosphere. Meanwhile, depict the tranquil Peruvian countryside, with families using kerosene lamps to light their homes, creating a warm and inviting glow. Show an intricate tunnel system running underground, connecting the two locations and illustrating the secret smuggling of kerosene. Let the image convey the contrasting atmospheres of pollution and tranquility, while hinting at the underground network that connects them. 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: Air pollution in Ithaca and Kerosene used in Peru. 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: Art nouveau Concept art Glitch art Vaporwave Sci-fi fantacy
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 Air pollution in Ithaca and Kerosene used in Peru, in the following situation: Because Ithaca's air pollution correlated with increased kerosene use in Peru due to a secret underground tunnel system connecting the two locations, allowing for transcontinental kerosene smuggling.. Keep the description simple.
ChatGPT: In Ithaca, the air is hazy with pollution, as cars and factories release smoke and fumes into the atmosphere. Meanwhile, in Peru, families are using kerosene lamps to light their homes, filling the air with a warm glow. Below the ground, an intricate tunnel system connects the two locations, allowing for the secret smuggling of kerosene from Peru to Ithaca, contributing to the pollution in both places.

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 Ithaca, the air is hazy with pollution, as cars and factories release smoke and fumes into the atmosphere. Meanwhile, in Peru, families are using kerosene lamps to light their homes, filling the air with a warm glow. Below the ground, an intricate tunnel system connects the two locations, allowing for the secret smuggling of kerosene from Peru to Ithaca, contributing to the pollution in both places. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a sprawling, futuristic cityscape in Ithaca, enveloped in a thick layer of polluted air. The towering buildings are obscured by smog, and cars and factories release billows of toxic fumes into the atmosphere. Meanwhile, depict the tranquil Peruvian countryside, with families using kerosene lamps to light their homes, creating a warm and inviting glow. Show an intricate tunnel system running underground, connecting the two locations and illustrating the secret smuggling of kerosene. Let the image convey the contrasting atmospheres of pollution and tranquility, while hinting at the underground network that connects them.

*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 Ithaca caused Kerosene used in Peru to decrease. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

The Journal of Eclectic Environmental Economics

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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title an alliteration.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.8777355 and p < 0.01 for 1990 to 2021.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!


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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the global community grapples with the interconnected web of environmental challenges, a peculiar relationship has come to light— the link between kerosene consumption in Peru and air pollution levels in Ithaca. Although one might be inclined to dismiss this correlation as nothing more than a flight of fancy, our research seeks to demonstrate the tangible impact of kerosene usage on air quality, all the way from the Andes to upstate New York.

Now, it’s time for a little levity to lighten the academic mood: Why did the kerosene refuse to participate in the study? It didn't want to "ignite" a conflict of interest! Our study, however, had no such qualms, diving headfirst into the data to illuminate the relationship between kerosene use and air pollution.

Over the years, kerosene has been a reliable source of energy for many households in Peru, used for lighting, heating, and various other domestic activities. Nevertheless, the combustion of kerosene yields a veritable smorgasbord of pollutants, with delightful names such as particulate matter, nitrogen oxides, and volatile organic compounds. These compounds, much like unwelcome dinner guests, refuse to leave the atmosphere, contributing to air pollution.

Speaking of unwelcome guests, why don't we ever talk about air pollution at parties? Because it's a real breath-taker! In all seriousness, though, the impact of air pollution on public health and the environment is no laughing matter. It’s a sobering reminder of the urgent need to address the sources and effects of pollution, even when those sources are thousands of miles away.

In the face of these challenges, our study seeks to provide a reckoning of the connection between kerosene consumption in Peru and air pollution in Ithaca. It’s the type of relationship that ignites curiosity, serving as a beacon for further investigation into the global implications of seemingly local actions.

With that pun-tastic note, let’s delve into the methodology and findings that shed light on this fiery relationship and highlight the importance of addressing kerosene consumption within the larger context of air quality management. After all, the environment is not just about trees and bears; it's also about the air we share!


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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the global community grapples with the interconnected web of environmental challenges, a peculiar relationship has come to light— the link between kerosene consumption in Peru and air pollution levels in Ithaca. Although one might be inclined to dismiss this correlation as nothing more than a flight of fancy, our research seeks to demonstrate the tangible impact of kerosene usage on air quality, all the way from the Andes to upstate New York.
Now, it’s time for a little levity to lighten the academic mood: Why did the kerosene refuse to participate in the study? It didn't want to "ignite" a conflict of interest! Our study, however, had no such qualms, diving headfirst into the data to illuminate the relationship between kerosene use and air pollution.
Over the years, kerosene has been a reliable source of energy for many households in Peru, used for lighting, heating, and various other domestic activities. Nevertheless, the combustion of kerosene yields a veritable smorgasbord of pollutants, with delightful names such as particulate matter, nitrogen oxides, and volatile organic compounds. These compounds, much like unwelcome dinner guests, refuse to leave the atmosphere, contributing to air pollution.
Speaking of unwelcome guests, why don't we ever talk about air pollution at parties? Because it's a real breath-taker! In all seriousness, though, the impact of air pollution on public health and the environment is no laughing matter. It’s a sobering reminder of the urgent need to address the sources and effects of pollution, even when those sources are thousands of miles away.
In the face of these challenges, our study seeks to provide a reckoning of the connection between kerosene consumption in Peru and air pollution in Ithaca. It’s the type of relationship that ignites curiosity, serving as a beacon for further investigation into the global implications of seemingly local actions.
With that pun-tastic note, let’s delve into the methodology and findings that shed light on this fiery relationship and highlight the importance of addressing kerosene consumption within the larger context of air quality management. After all, the environment is not just about trees and bears; it's also about the air we share!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Let’s start this section by navigating through the scholarly terrain before taking a detour into the land of fiction and childhood nostalgia. Smith and Doe (2016) explored the impact of kerosene consumption on air quality, finding a positive association between kerosene usage and air pollution levels. Meanwhile, in a study by Jones et al. (2018), the authors note a significant rise in particulate matter concentrations coinciding with increased kerosene use.

Now, onto some non-fiction books that could shed light on the topic. In "The Air We Breathe" by Andrea Barrett, the author delves into the history of air quality and the impact of human activities on the atmosphere. Similarly, in "This Changes Everything" by Naomi Klein, the intersection of energy consumption and environmental consequences is explored in great detail.

But wait, here comes the unexpected twist! In a shocking turn of events, it seems that the famous detective Sherlock Holmes has been called in to investigate the mysterious case of "The Hound of the Kerosene Fumes." In this fictional tale, Holmes unravels a plot involving kerosene smuggling and its unforeseen consequences on air quality in a remote English village.

And of course, who can forget the animated wonders of our childhood? "The Magic School Bus" takes Ms. Frizzle and her students on a whirlwind adventure through the atmosphere, where they witness firsthand the effects of pollution on air quality. Similarly, "Captain Planet and the Planeteers" ignites nostalgia with its eco-friendly message, highlighting the need to tackle environmental issues on a global scale.

But let’s not jet off into the world of childhood memories just yet. We still have some serious research to cover. In "Air Pollution: Its Origin and Control" by Kenneth Wark and Cecil Warner, the authors provide a comprehensive overview of the sources and mitigation strategies of air pollutants, offering valuable insights that resonate with our investigation.

In conclusion, as we source material from real-life studies, literature, and animated adventures, it's clear that the relationship between kerosene consumption in Peru and air pollution in Ithaca is no laughing matter. Except, of course, for the occasional dad joke thrown in to keep things light. With that said, let's ignite our curiosity further as we move into the next phase of this blazing research journey.


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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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 1990 to 2021

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

[[INTRODUCTION]]
As the global community grapples with the interconnected web of environmental challenges, a peculiar relationship has come to light— the link between kerosene consumption in Peru and air pollution levels in Ithaca. Although one might be inclined to dismiss this correlation as nothing more than a flight of fancy, our research seeks to demonstrate the tangible impact of kerosene usage on air quality, all the way from the Andes to upstate New York.
Now, it’s time for a little levity to lighten the academic mood: Why did the kerosene refuse to participate in the study? It didn't want to "ignite" a conflict of interest! Our study, however, had no such qualms, diving headfirst into the data to illuminate the relationship between kerosene use and air pollution.
Over the years, kerosene has been a reliable source of energy for many households in Peru, used for lighting, heating, and various other domestic activities. Nevertheless, the combustion of kerosene yields a veritable smorgasbord of pollutants, with delightful names such as particulate matter, nitrogen oxides, and volatile organic compounds. These compounds, much like unwelcome dinner guests, refuse to leave the atmosphere, contributing to air pollution.
Speaking of unwelcome guests, why don't we ever talk about air pollution at parties? Because it's a real breath-taker! In all seriousness, though, the impact of air pollution on public health and the environment is no laughing matter. It’s a sobering reminder of the urgent need to address the sources and effects of pollution, even when those sources are thousands of miles away.
In the face of these challenges, our study seeks to provide a reckoning of the connection between kerosene consumption in Peru and air pollution in Ithaca. It’s the type of relationship that ignites curiosity, serving as a beacon for further investigation into the global implications of seemingly local actions.
With that pun-tastic note, let’s delve into the methodology and findings that shed light on this fiery relationship and highlight the importance of addressing kerosene consumption within the larger context of air quality management. After all, the environment is not just about trees and bears; it's also about the air we share!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the complex interplay between kerosene consumption in Peru and air pollution in Ithaca, our research team employed a methodological approach that was as meticulous as it was… well, illuminating. Our first step involved gathering data from reputable sources such as the Environmental Protection Agency and the Energy Information Administration. We scoured the depths of the internet for data spanning the years 1990 to 2021, ensuring that our analysis captured a comprehensive view of the relationship between kerosene usage and air quality.

With data in hand, we embarked on a statistical journey that could rival even the most thrilling tales of adventure. Our method involved analyzing kerosene consumption trends in Peru and air pollution levels in Ithaca, employing a series of sophisticated tools to untangle the web of correlation. We utilized regression models that were as robust as a well-built lantern, shedding light on the association between kerosene usage and air quality. And of course, we took great care to control for potential confounding factors, ensuring that our findings burned bright with statistical significance.

Now, what do you call a scientist who studies the effe- "wait for it" -cts of kerosene on air pollution? A "flame" researcher! But I digress. In addition to quantitative analyses, we sought to provide a qualitative perspective on the impact of kerosene combustion on air quality. We consulted with experts in environmental science and sought their insights into the intricate mechanisms through which kerosene emissions can waft their way across continents, culminating in a breath of fresh air for our study.

Furthermore, to capture the lived experiences of communities affected by air pollution, we ventured into the heart of Peru and the streets of Ithaca, conducting interviews and gathering anecdotes from individuals grappling with the consequences of kerosene use. These firsthand accounts added a human touch to our research, reminding us that behind every data point lies a story waiting to be heard. And what's a story without a bit of drama, right?

Finally, in the spirit of transparency and openness, we submitted our methodology to the scrutiny of our peers and sought feedback from the scientific community. Like a wick eagerly awaiting the spark of a match, our methodology sought to ignite a flame of discussion and reflection, inviting others to join us in exploring the intriguing relationship between kerosene consumption in Peru and air pollution in Ithaca. After all, when it comes to illuminating scientific inquiry, the more, the merrier!


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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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 1990 to 2021, you found a correlation 0.8777355, r-squared of 0.7704196, 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]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the global community grapples with the interconnected web of environmental challenges, a peculiar relationship has come to light— the link between kerosene consumption in Peru and air pollution levels in Ithaca. Although one might be inclined to dismiss this correlation as nothing more than a flight of fancy, our research seeks to demonstrate the tangible impact of kerosene usage on air quality, all the way from the Andes to upstate New York.
Now, it’s time for a little levity to lighten the academic mood: Why did the kerosene refuse to participate in the study? It didn't want to "ignite" a conflict of interest! Our study, however, had no such qualms, diving headfirst into the data to illuminate the relationship between kerosene use and air pollution.
Over the years, kerosene has been a reliable source of energy for many households in Peru, used for lighting, heating, and various other domestic activities. Nevertheless, the combustion of kerosene yields a veritable smorgasbord of pollutants, with delightful names such as particulate matter, nitrogen oxides, and volatile organic compounds. These compounds, much like unwelcome dinner guests, refuse to leave the atmosphere, contributing to air pollution.
Speaking of unwelcome guests, why don't we ever talk about air pollution at parties? Because it's a real breath-taker! In all seriousness, though, the impact of air pollution on public health and the environment is no laughing matter. It’s a sobering reminder of the urgent need to address the sources and effects of pollution, even when those sources are thousands of miles away.
In the face of these challenges, our study seeks to provide a reckoning of the connection between kerosene consumption in Peru and air pollution in Ithaca. It’s the type of relationship that ignites curiosity, serving as a beacon for further investigation into the global implications of seemingly local actions.
With that pun-tastic note, let’s delve into the methodology and findings that shed light on this fiery relationship and highlight the importance of addressing kerosene consumption within the larger context of air quality management. After all, the environment is not just about trees and bears; it's also about the air we share!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The correlation analysis between kerosene consumption in Peru and air pollution levels in Ithaca for the period of 1990 to 2021 revealed a robust correlation coefficient of 0.8777355. This high positive correlation indicates a strong association between the amount of kerosene used in Peru and the air quality in Ithaca. It seems the impact of kerosene consumption reaches far beyond the borders of Peru, leaving no room for doubt about the global nature of environmental impacts.

Now, what do you get when you cross kerosene with air pollution? Well, aside from a headache, you apparently get a strong relationship that can't be ignored! Our findings provide compelling evidence that the consequences of kerosene use extend far and wide, even reaching as far as the picturesque town of Ithaca.

The scatterplot depicted in Fig. 1 further illustrates the striking correlation between kerosene consumption in Peru and air pollution levels in Ithaca. The scatterplot resembles a constellation of data points, each one representing the interconnectedness of kerosene usage and air quality. It's a reminder that even in the realm of academic research, the stars align to reveal fascinating relationships—pun intended!

In addition to the high correlation coefficient, the r-squared value of 0.7704196 underscores the strength of the relationship between kerosene consumption in Peru and air pollution in Ithaca. This substantial r-squared value indicates that approximately 77.04% of the variance in air pollution levels in Ithaca can be explained by the variance in kerosene consumption in Peru. That's no small feat, considering the geographical and cultural distance between the two locations.

Our results provide clear evidence that kerosene consumption in Peru has a significant impact on air pollution levels in Ithaca. This compelling link warrants further investigation and emphasizes the need for international collaboration in addressing the environmental repercussions of energy consumption.

In conclusion, our findings not only establish a tangible connection between kerosene usage in Peru and air pollution in Ithaca, but also serve as a beacon for future research into the global implications of energy consumption. It's a reminder that when it comes to environmental impact, the world is indeed a small place—perhaps even smaller than the footprint left by kerosene on air quality.


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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

[[LITERATURE REVIEW]]
Let’s start this section by navigating through the scholarly terrain before taking a detour into the land of fiction and childhood nostalgia. Smith and Doe (2016) explored the impact of kerosene consumption on air quality, finding a positive association between kerosene usage and air pollution levels. Meanwhile, in a study by Jones et al. (2018), the authors note a significant rise in particulate matter concentrations coinciding with increased kerosene use.
Now, onto some non-fiction books that could shed light on the topic. In "The Air We Breathe" by Andrea Barrett, the author delves into the history of air quality and the impact of human activities on the atmosphere. Similarly, in "This Changes Everything" by Naomi Klein, the intersection of energy consumption and environmental consequences is explored in great detail.
But wait, here comes the unexpected twist! In a shocking turn of events, it seems that the famous detective Sherlock Holmes has been called in to investigate the mysterious case of "The Hound of the Kerosene Fumes." In this fictional tale, Holmes unravels a plot involving kerosene smuggling and its unforeseen consequences on air quality in a remote English village.
And of course, who can forget the animated wonders of our childhood? "The Magic School Bus" takes Ms. Frizzle and her students on a whirlwind adventure through the atmosphere, where they witness firsthand the effects of pollution on air quality. Similarly, "Captain Planet and the Planeteers" ignites nostalgia with its eco-friendly message, highlighting the need to tackle environmental issues on a global scale.
But let’s not jet off into the world of childhood memories just yet. We still have some serious research to cover. In "Air Pollution: Its Origin and Control" by Kenneth Wark and Cecil Warner, the authors provide a comprehensive overview of the sources and mitigation strategies of air pollutants, offering valuable insights that resonate with our investigation.
In conclusion, as we source material from real-life studies, literature, and animated adventures, it's clear that the relationship between kerosene consumption in Peru and air pollution in Ithaca is no laughing matter. Except, of course, for the occasional dad joke thrown in to keep things light. With that said, let's ignite our curiosity further as we move into the next phase of this blazing research journey.

[[RESULTS]]
The correlation analysis between kerosene consumption in Peru and air pollution levels in Ithaca for the period of 1990 to 2021 revealed a robust correlation coefficient of 0.8777355. This high positive correlation indicates a strong association between the amount of kerosene used in Peru and the air quality in Ithaca. It seems the impact of kerosene consumption reaches far beyond the borders of Peru, leaving no room for doubt about the global nature of environmental impacts.
Now, what do you get when you cross kerosene with air pollution? Well, aside from a headache, you apparently get a strong relationship that can't be ignored! Our findings provide compelling evidence that the consequences of kerosene use extend far and wide, even reaching as far as the picturesque town of Ithaca.
The scatterplot depicted in Fig. 1 further illustrates the striking correlation between kerosene consumption in Peru and air pollution levels in Ithaca. The scatterplot resembles a constellation of data points, each one representing the interconnectedness of kerosene usage and air quality. It's a reminder that even in the realm of academic research, the stars align to reveal fascinating relationships—pun intended!
In addition to the high correlation coefficient, the r-squared value of 0.7704196 underscores the strength of the relationship between kerosene consumption in Peru and air pollution in Ithaca. This substantial r-squared value indicates that approximately 77.04% of the variance in air pollution levels in Ithaca can be explained by the variance in kerosene consumption in Peru. That's no small feat, considering the geographical and cultural distance between the two locations.
Our results provide clear evidence that kerosene consumption in Peru has a significant impact on air pollution levels in Ithaca. This compelling link warrants further investigation and emphasizes the need for international collaboration in addressing the environmental repercussions of energy consumption.
In conclusion, our findings not only establish a tangible connection between kerosene usage in Peru and air pollution in Ithaca, but also serve as a beacon for future research into the global implications of energy consumption. It's a reminder that when it comes to environmental impact, the world is indeed a small place—perhaps even smaller than the footprint left by kerosene on air quality.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The scorching correlation coefficient of 0.8777355 discovered in our study adds fuel to the fire, corroborating the findings of Smith and Doe (2016) who also noted a positive association between kerosene usage and air pollution levels. It seems that the link between kerosene consumption and air quality is no flash in the pan - it's a smoldering issue with real implications for communities. Our results offer a fiery confirmation of the significant impact of kerosene use on air pollution, reinforcing the need for effective global strategies to mitigate its environmental repercussions.

As we "illuminate" the relationship between kerosene consumption in Peru and air pollution levels in Ithaca, it's clear that this connection isn't just blowing hot air. In fact, the striking correlation we observed burns through any doubts, providing a clear picture of the far-reaching effects of energy consumption. Our study not only sets the stage for further research into the global implications of kerosene use but also serves as a flame of hope, igniting the urgency for international cooperation in addressing the environmental impacts of energy consumption.

Now, diving into the Detective Sherlock Holmes twist in the literature review, one might jest, "Elementary, my dear Watson, kerosene knows no boundaries!" But in all seriousness, our findings do highlight the global nature of environmental issues, underscoring the need for cross-border collaboration in tackling the consequences of energy consumption. Just as Holmes pieced together clues to solve the case of "The Hound of the Baskervilles," our study pieced together data to reveal the interconnectedness of kerosene usage and air quality. It's a reminder that the air we share knows no boundaries, and neither do the solutions to air pollution.

In a similar vein, the animated too-good-to-be-true adventures of "The Magic School Bus" and "Captain Planet and the Planeteers" provide a whimsical reminder of the pressing need to address environmental challenges on a global scale. Our research, like these childhood favorites, serves as a rallying call for action, emphasizing the urgency of addressing the environmental consequences of energy consumption across borders.

In conclusion, our study not only adds to the growing body of literature on the impact of kerosene consumption on air quality but also sheds light on the interconnectedness of environmental issues across distant geographies. It's a wake-up call that the consequences of energy consumption reach far and wide, requiring a united front to address the global repercussions of kerosene use. As we turn the page to further research, it's clear that the implications of our findings are nothing to "kerosene" at - they're burning issues that demand our attention.


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 Ithaca and Kerosene used in Peru. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca

[[ABSTRACT]]
Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?

Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.

But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.

In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

[[INTRDUCTION]]
As the global community grapples with the interconnected web of environmental challenges, a peculiar relationship has come to light— the link between kerosene consumption in Peru and air pollution levels in Ithaca. Although one might be inclined to dismiss this correlation as nothing more than a flight of fancy, our research seeks to demonstrate the tangible impact of kerosene usage on air quality, all the way from the Andes to upstate New York.
Now, it’s time for a little levity to lighten the academic mood: Why did the kerosene refuse to participate in the study? It didn't want to "ignite" a conflict of interest! Our study, however, had no such qualms, diving headfirst into the data to illuminate the relationship between kerosene use and air pollution.
Over the years, kerosene has been a reliable source of energy for many households in Peru, used for lighting, heating, and various other domestic activities. Nevertheless, the combustion of kerosene yields a veritable smorgasbord of pollutants, with delightful names such as particulate matter, nitrogen oxides, and volatile organic compounds. These compounds, much like unwelcome dinner guests, refuse to leave the atmosphere, contributing to air pollution.
Speaking of unwelcome guests, why don't we ever talk about air pollution at parties? Because it's a real breath-taker! In all seriousness, though, the impact of air pollution on public health and the environment is no laughing matter. It’s a sobering reminder of the urgent need to address the sources and effects of pollution, even when those sources are thousands of miles away.
In the face of these challenges, our study seeks to provide a reckoning of the connection between kerosene consumption in Peru and air pollution in Ithaca. It’s the type of relationship that ignites curiosity, serving as a beacon for further investigation into the global implications of seemingly local actions.
With that pun-tastic note, let’s delve into the methodology and findings that shed light on this fiery relationship and highlight the importance of addressing kerosene consumption within the larger context of air quality management. After all, the environment is not just about trees and bears; it's also about the air we share!

[[RESULTS]]
The correlation analysis between kerosene consumption in Peru and air pollution levels in Ithaca for the period of 1990 to 2021 revealed a robust correlation coefficient of 0.8777355. This high positive correlation indicates a strong association between the amount of kerosene used in Peru and the air quality in Ithaca. It seems the impact of kerosene consumption reaches far beyond the borders of Peru, leaving no room for doubt about the global nature of environmental impacts.
Now, what do you get when you cross kerosene with air pollution? Well, aside from a headache, you apparently get a strong relationship that can't be ignored! Our findings provide compelling evidence that the consequences of kerosene use extend far and wide, even reaching as far as the picturesque town of Ithaca.
The scatterplot depicted in Fig. 1 further illustrates the striking correlation between kerosene consumption in Peru and air pollution levels in Ithaca. The scatterplot resembles a constellation of data points, each one representing the interconnectedness of kerosene usage and air quality. It's a reminder that even in the realm of academic research, the stars align to reveal fascinating relationships—pun intended!
In addition to the high correlation coefficient, the r-squared value of 0.7704196 underscores the strength of the relationship between kerosene consumption in Peru and air pollution in Ithaca. This substantial r-squared value indicates that approximately 77.04% of the variance in air pollution levels in Ithaca can be explained by the variance in kerosene consumption in Peru. That's no small feat, considering the geographical and cultural distance between the two locations.
Our results provide clear evidence that kerosene consumption in Peru has a significant impact on air pollution levels in Ithaca. This compelling link warrants further investigation and emphasizes the need for international collaboration in addressing the environmental repercussions of energy consumption.
In conclusion, our findings not only establish a tangible connection between kerosene usage in Peru and air pollution in Ithaca, but also serve as a beacon for future research into the global implications of energy consumption. It's a reminder that when it comes to environmental impact, the world is indeed a small place—perhaps even smaller than the footprint left by kerosene on air quality.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the findings of our study provide compelling evidence of the substantial relationship between kerosene consumption in Peru and air pollution levels in Ithaca. These results shed light on the far-reaching impact of seemingly local energy consumption practices on global air quality. It seems the adage "what goes up, must come down" applies not only to gravity but also to kerosene fumes finding their way to Ithaca.

The significant correlation coefficient and r-squared value underscore the robustness of the connection, leaving no room to doubt the hot topic of discussion. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

Now, if a kerosene lamp is turned off, what happens to the genie? It goes out, leaving behind its exhaust to join the ranks of air pollutants contributing to the global air quality conundrum.

Our study emphasizes the need for international collaboration in addressing the environmental repercussions of energy consumption. It's a reminder that the air we share knows no boundaries, and neither does the impact of our energy choices; they transcend continents and climates.

In summary, the sizzling correlation between kerosene use in Peru and air pollution in Ithaca serves as a wake-up call for policymakers and environmental advocates. Our findings highlight the urgent need to address the sources and effects of air pollution, even when those sources are thousands of miles away.

So, what famous comedian could sing about the relationship between kerosene and air pollution? Billy O'Genius, of course!

This study presents a compelling case for the intricate connection between seemingly disparate regions and the need for concerted efforts to mitigate the environmental consequences. It's high time we ignite a global conversation on the far-reaching impacts of energy consumption and its implications for air quality worldwide.

In conclusion, the research in this area has indeed hit the "high notes," and it's safe to say that no more research is needed in this area. After all, we want to leave kerosene in Peru and keep the air pollution out of Ithaca!


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 Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Eclectic Environmental Economics


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 Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca. Respond only with the name of a fictional organization.

ChatGPT:

Sustainable Energy and Emissions Research Institute


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 Correlating Kerosene Consumption in Peru with Air Pollution in Ithaca with an abstract of Ah, the sweet smell of research in the morning! In this study, we delve into the intriguing relationship between kerosene usage in Peru and air pollution levels in Ithaca. Using data from the Environmental Protection Agency and the Energy Information Administration, we set out to answer the burning question: does kerosene consumption in Peru ignite air pollution woes in Ithaca?
Our findings left us positively fired up! We discovered a sizzling correlation coefficient of 0.8777355 and a scorching p-value less than 0.01 for the years 1990 to 2021. These results suggest a robust connection between kerosene use in Peru and the air quality in Ithaca. It seems that what happens in Peru doesn't stay in Peru—especially when it comes to kerosene fumes making their way to Ithaca.
But wait, there's more! In addition to statistical significance, our research unearthed some unexpected correlations. It appears that the higher the kerosene usage in Peru, the more likely it is for Ithaca's air quality to go from "fresh and breezy" to "soot and wheezy"! Our findings highlight the global nature of environmental issues, reminding us that the air we share knows no boundaries.
In conclusion, our study sheds light on the far-reaching impacts of kerosene consumption on air pollution, bridging the gap between Peru and Ithaca. It's clear that when it comes to the relationship between kerosene and air quality, the stakes are high, and the evidence is nothing to sniff at!

ChatGPT:

kerosene consumption, air pollution, Peru, Ithaca, correlation, environmental impact, EPA data, Energy Information Administration, air quality, statistical significance, global environmental issues, kerosene fumes, boundaryless air, research findings

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

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

Correlation r = 0.8777355 (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 = 0.7704196 (Coefficient of determination)
This means 77% of the change in the one variable (i.e., Kerosene used in Peru) is predictable based on the change in the other (i.e., Air pollution in Ithaca) over the 32 years from 1990 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.2E-11. 0.0000000000423114724182621550
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 0.88 in 4.2E-9% of random cases. Said differently, if you correlated 23,634,251,962 random variables You don't actually need 23 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 31 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 31 because we have two variables measured over a period of 32 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.76, 0.94 ] 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.
19901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Air pollution in Ithaca (Bad air quality days)0.04885060.113260.0439560.07191780.0573770.07434940.04878050.04722220.09166670.05747130.03160920.06128130.06371190.02173910.005681820.03305780.002873560.0112360.0083102500.011594200.01714290000.0055401700.00277778000.00277778
Kerosene used in Peru (Million Barrels/Day)16156.91513141414141414.044914.888214.951710.80086.842954.426221.778961.164790.971531.524821.418931.397751.034891.143621.24951110.7821370.4127950.06517810.04345210.0434521




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([0.0488506,0.11326,0.043956,0.0719178,0.057377,0.0743494,0.0487805,0.0472222,0.0916667,0.0574713,0.0316092,0.0612813,0.0637119,0.0217391,0.00568182,0.0330578,0.00287356,0.011236,0.00831025,0,0.0115942,0,0.0171429,0,0,0,0.00554017,0,0.00277778,0,0,0.00277778,])
array_2 = np.array([16,15,6.9,15,13,14,14,14,14,14,14.0449,14.8882,14.9517,10.8008,6.84295,4.42622,1.77896,1.16479,0.97153,1.52482,1.41893,1.39775,1.03489,1.14362,1.24951,1,1,0.782137,0.412795,0.0651781,0.0434521,0.0434521,])
array_1_name = "Air pollution in Ithaca"
array_2_name = "Kerosene used in Peru"

# 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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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: 2668 · Black Variable ID: 22196 · Red Variable ID: 24811
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