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Spurious correlation #3,771 · 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 Grand Junction, Colorado and the second variable is POSCO Holdings' stock price (PKX).  The chart goes from 2002 to 2023, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution in Grand Junction, Colorado increased, it led to a surge in demand for air purifiers. This unexpected economic boom in the air purifier industry directly benefited POSCO Holdings, as they secretly diversified into the production of state-of-the-art, pollution-fighting air purifiers. As the smog thickened, so did the company's profits, proving that when it comes to stock prices, the air pollution in one place can truly be the clean air for another's investment portfolio!

Model: dalle-3
Prompt: Prompt: Generate an image in the style of woodblock painting showing a bustling market scene in Grand Junction, Colorado. The setting is a sunny day with a clear blue sky and clean air after efforts to reduce air pollution. Locals are seen outdoors, purchasing steel products like bicycles and kitchenware from local stores. Additionally, showcase the soaring stock price of POSCO Holdings (PKX) reflecting the increased demand for their products due to improved air quality and the rise in local purchasing power. 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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). 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: A scene from Skyrim Whimsical illustration Cute 2D animation Woodblock painting Cutsy art illustration
ChatGPT: Woodblock painting

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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX), in the following situation: Because as air quality improved in Grand Junction, Colorado, the locals started feeling better and bought more steel products, boosting POSCO Holdings' stock price.. Keep the description simple.
ChatGPT: In Grand Junction, Colorado, the sky was clear and the air was clean after efforts to reduce air pollution. The locals were out enjoying the fresh air, feeling healthier and happier. They were seen purchasing more steel products, such as bicycles and kitchenware, from local stores. Meanwhile, the stock price of POSCO Holdings (PKX) was soaring on the stock market, reflecting the increased demand for their products due to the improved air quality and subsequent rise in local purchasing power.

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: [ Woodblock painting ] and depicting this scene: In Grand Junction, Colorado, the sky was clear and the air was clean after efforts to reduce air pollution. The locals were out enjoying the fresh air, feeling healthier and happier. They were seen purchasing more steel products, such as bicycles and kitchenware, from local stores. Meanwhile, the stock price of POSCO Holdings (PKX) was soaring on the stock market, reflecting the increased demand for their products due to the improved air quality and subsequent rise in local purchasing power. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image in the style of woodblock painting showing a bustling market scene in Grand Junction, Colorado. The setting is a sunny day with a clear blue sky and clean air after efforts to reduce air pollution. Locals are seen outdoors, purchasing steel products like bicycles and kitchenware from local stores. Additionally, showcase the soaring stock price of POSCO Holdings (PKX) reflecting the increased demand for their products due to improved air quality and the rise in local purchasing power.

*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 increases in Air pollution in Grand Junction, Colorado positively influenced POSCO Holdings' stock price (PKX).

AI academic paper

(Because p < 0.01)
The Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

Journal of Environmental Economics and Financial Markets

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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from Environmental Protection Agency and LSEG Analytics (Refinitiv) to assess this nagging question. You found a correlation coefficient of 0.8022025 and p < 0.01 for 2002 to 2023.

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 Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.


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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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]]
The Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The interconnectedness of seemingly unrelated phenomena has always been a source of fascination in the world of research. From the tiniest microbe to the grandest corporation, the intricate webs of influence and interdependence can often surprise even the most discerning of observers. In this study, we endeavor to unveil a surprising link between the air pollution levels in Grand Junction, Colorado, and the stock price fluctuations of POSCO Holdings (PKX). While at first glance, one might dismiss the possibility of any correlation between these two disparate entities, our investigation exposes an unexpected relationship that could have far-reaching implications.

Our foray into this unconventional exploration was not without its challenges, as we navigated through the labyrinthine corridors of environmental data and financial time series. The endeavor was not only an exercise in statistical acrobatics but also a sojourn into uncharted territory where environmental quality and stock market dynamics converge. As we untangled the enigmatic threads of air pollution and stock price movements, we were continually reminded of the subtle interconnectedness that exists within the world of markets and the natural environment.

The research is driven by the belief that every breath of air and every movement of the market holds within it a tale waiting to be unraveled. Our findings, though unexpected, paint a nuanced picture of the invisible forces at play, challenging traditional views and echoing the ancient adage: "the winds of change blow where they will, and sometimes they carry with them unforeseen consequences."

As we plunge deeper into this analysis, it becomes apparent that the stock market, much like the atmosphere we breathe, is not impervious to the subtle nuances of its surroundings. Could it be that the city's atmospheric haze casts a shadow over the stock's fate, or is it the capricious dance of market forces that taints the purity of the air? Our investigation sets the stage for a thought-provoking exploration, invoking deeper introspection into the intricate dance of influence and exchange between the environment and financial realms.

Join us as we peel back the layers of complexity, endeavoring to shed light on the unseen costs that lurk within the tapestry of economic and environmental interactions. The journey promises to be both enlightening and, dare we say, breath-taking.


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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). 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. Then name a few real TV shows that sound like they might be relevant to the topic that you watched as research.

Here is the title and abstract of the paper:
[[TITLE]]
The Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The interconnectedness of seemingly unrelated phenomena has always been a source of fascination in the world of research. From the tiniest microbe to the grandest corporation, the intricate webs of influence and interdependence can often surprise even the most discerning of observers. In this study, we endeavor to unveil a surprising link between the air pollution levels in Grand Junction, Colorado, and the stock price fluctuations of POSCO Holdings (PKX). While at first glance, one might dismiss the possibility of any correlation between these two disparate entities, our investigation exposes an unexpected relationship that could have far-reaching implications.
Our foray into this unconventional exploration was not without its challenges, as we navigated through the labyrinthine corridors of environmental data and financial time series. The endeavor was not only an exercise in statistical acrobatics but also a sojourn into uncharted territory where environmental quality and stock market dynamics converge. As we untangled the enigmatic threads of air pollution and stock price movements, we were continually reminded of the subtle interconnectedness that exists within the world of markets and the natural environment.
The research is driven by the belief that every breath of air and every movement of the market holds within it a tale waiting to be unraveled. Our findings, though unexpected, paint a nuanced picture of the invisible forces at play, challenging traditional views and echoing the ancient adage: "the winds of change blow where they will, and sometimes they carry with them unforeseen consequences."
As we plunge deeper into this analysis, it becomes apparent that the stock market, much like the atmosphere we breathe, is not impervious to the subtle nuances of its surroundings. Could it be that the city's atmospheric haze casts a shadow over the stock's fate, or is it the capricious dance of market forces that taints the purity of the air? Our investigation sets the stage for a thought-provoking exploration, invoking deeper introspection into the intricate dance of influence and exchange between the environment and financial realms.
Join us as we peel back the layers of complexity, endeavoring to shed light on the unseen costs that lurk within the tapestry of economic and environmental interactions. The journey promises to be both enlightening and, dare we say, breath-taking.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The intricate relationship between air pollution and financial markets has been a subject of keen interest for researchers over the years. Smith and Doe (2017) conducted a comprehensive analysis of air pollution's impact on various economic indicators, while Jones et al. (2019) delved into the influence of environmental factors on stock price movements. Their findings provided valuable insights into the far-reaching consequences of air pollution on the economic landscape, laying the groundwork for further exploration.

Moving from the solemn realms of academic journals to the wider sea of literature, it's worth noting the diverse array of perspectives on environmental impact and financial dynamics. "The Economics of Clean Air" by Oates and "Environmental Finance" by Scholtens offer a deep dive into the complexities of environmental economics and sustainable finance, providing a solid theoretical foundation for understanding the interplay between air quality and economic activities. On the other end of the spectrum, fictional works such as "Smoke and Mirrors" by Neil Gaiman and "The Polluted Promise" by Agatha Christie offer a more imaginative take on the unseen repercussions of pollution, serving as a delightful departure from the empirical rigor of academic literature.

In the quest for a holistic understanding of the intersecting domains of air pollution and financial markets, a peek into the world of entertainment could yield intriguing parallels. TV shows such as "Breaking Bad" and "Better Call Saul," with their dramatic depictions of chemical enterprises and their unforeseen consequences, provide an oddly captivating lens through which to contemplate the latent repercussions of environmental degradation on corporate entities. The quirky humor of "Parks and Recreation" offers an unexpected yet refreshing perspective on the bureaucratic hurdles and absurdities entwined with environmental policymaking, reminding us that even in the throes of serious matters, there's always room for a chuckle.

As we embrace the eccentric tapestry of sources and influences, it is evident that the intersection of air pollution and financial markets has managed to capture the imagination across a spectrum of disciplines and genres. This vibrant amalgamation of serious scholarship, fiction, and entertainment underscores the pervasive impact of air pollution on diverse facets of human endeavors, while adding a touch of levity to the otherwise weighty discourse.


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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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 LSEG Analytics (Refinitiv) . You used data from 2002 to 2023

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 Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

[[INTRODUCTION]]
The interconnectedness of seemingly unrelated phenomena has always been a source of fascination in the world of research. From the tiniest microbe to the grandest corporation, the intricate webs of influence and interdependence can often surprise even the most discerning of observers. In this study, we endeavor to unveil a surprising link between the air pollution levels in Grand Junction, Colorado, and the stock price fluctuations of POSCO Holdings (PKX). While at first glance, one might dismiss the possibility of any correlation between these two disparate entities, our investigation exposes an unexpected relationship that could have far-reaching implications.
Our foray into this unconventional exploration was not without its challenges, as we navigated through the labyrinthine corridors of environmental data and financial time series. The endeavor was not only an exercise in statistical acrobatics but also a sojourn into uncharted territory where environmental quality and stock market dynamics converge. As we untangled the enigmatic threads of air pollution and stock price movements, we were continually reminded of the subtle interconnectedness that exists within the world of markets and the natural environment.
The research is driven by the belief that every breath of air and every movement of the market holds within it a tale waiting to be unraveled. Our findings, though unexpected, paint a nuanced picture of the invisible forces at play, challenging traditional views and echoing the ancient adage: "the winds of change blow where they will, and sometimes they carry with them unforeseen consequences."
As we plunge deeper into this analysis, it becomes apparent that the stock market, much like the atmosphere we breathe, is not impervious to the subtle nuances of its surroundings. Could it be that the city's atmospheric haze casts a shadow over the stock's fate, or is it the capricious dance of market forces that taints the purity of the air? Our investigation sets the stage for a thought-provoking exploration, invoking deeper introspection into the intricate dance of influence and exchange between the environment and financial realms.
Join us as we peel back the layers of complexity, endeavoring to shed light on the unseen costs that lurk within the tapestry of economic and environmental interactions. The journey promises to be both enlightening and, dare we say, breath-taking.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To navigate the labyrinthine complexities of this enigmatic puzzle, our research team embarked on an odyssey of data collection and analysis. The first step in our endeavor involved sourcing air quality data from the Environmental Protection Agency's databases, meticulously sifting through the digital vastness to capture the elusive essence of Grand Junction's atmospheric quality. Our pursuit of financial data led us to the hallowed halls of LSEG Analytics (Refinitiv), where we harnessed the power of economic time series to encapsulate the mercurial movements of POSCO Holdings' stock price.

With our virtual nets cast wide, we captured data spanning the substantial temporal range from 2002 to 2023, creating a formidable dataset that encapsulated the essence of air pollution and market caprices. The aggregation of these vast repositories of information formed the cornerstone of our analytical arsenal, providing the raw material from which insights and correlations bloomed.

Our analytical journey, akin to traversing a treacherous yet beguiling terrain, unfolded in three distinct phases, each characterized by its own unique set of tools and techniques. In the first phase, we employed classical statistical methods to ascertain the levels of air pollution in Grand Junction, Colorado, teasing apart the intricacies of particulate matter and gaseous emissions. This phase, marked by our fervent zeal to decipher the atmospheric intricacies, laid the foundation for the subsequent exploration of financial intricacies.

The second phase of our methodology veered into the domain of econometric wizardry, as we deftly wielded time series analysis and correlation coefficients to unearth the hidden nexus between air quality and stock price dynamics. The quantitative tapestry that emerged bore the imprints of our rigorous scrutiny, revealing the tantalizing tendrils that wove a connection between the unseen mists of air pollution and the palpable ebbs and flows of the stock market.

In the final phase, our endeavor culminated in the deployment of advanced regression models, invoking the spirits of R-squared and p-values to cast a discerning eye on the statistical significance of our findings. The amalgamation of these methodological marvels paved the way for the unveiling of a correlation coefficient of 0.8022025, accompanied by a resoundingly significant p-value of less than 0.01. These findings, though astonishing, bear testament to the meticulous approach we adopted in our quest to unravel the intricate dance of market forces and atmospheric whispers.

As we emerge from the crucible of methodological innovation, we stand poised on the brink of unveiling the subtle interplay between air pollution and stock price dynamics, inviting readers to partake in the delight of this empirical journey - a testament to the unexpected delights that await those who dare to look beyond the surface.


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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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 LSEG Analytics (Refinitiv) .

For the time period 2002 to 2023, you found a correlation 0.8022025, r-squared of 0.6435288, 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 Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The interconnectedness of seemingly unrelated phenomena has always been a source of fascination in the world of research. From the tiniest microbe to the grandest corporation, the intricate webs of influence and interdependence can often surprise even the most discerning of observers. In this study, we endeavor to unveil a surprising link between the air pollution levels in Grand Junction, Colorado, and the stock price fluctuations of POSCO Holdings (PKX). While at first glance, one might dismiss the possibility of any correlation between these two disparate entities, our investigation exposes an unexpected relationship that could have far-reaching implications.
Our foray into this unconventional exploration was not without its challenges, as we navigated through the labyrinthine corridors of environmental data and financial time series. The endeavor was not only an exercise in statistical acrobatics but also a sojourn into uncharted territory where environmental quality and stock market dynamics converge. As we untangled the enigmatic threads of air pollution and stock price movements, we were continually reminded of the subtle interconnectedness that exists within the world of markets and the natural environment.
The research is driven by the belief that every breath of air and every movement of the market holds within it a tale waiting to be unraveled. Our findings, though unexpected, paint a nuanced picture of the invisible forces at play, challenging traditional views and echoing the ancient adage: "the winds of change blow where they will, and sometimes they carry with them unforeseen consequences."
As we plunge deeper into this analysis, it becomes apparent that the stock market, much like the atmosphere we breathe, is not impervious to the subtle nuances of its surroundings. Could it be that the city's atmospheric haze casts a shadow over the stock's fate, or is it the capricious dance of market forces that taints the purity of the air? Our investigation sets the stage for a thought-provoking exploration, invoking deeper introspection into the intricate dance of influence and exchange between the environment and financial realms.
Join us as we peel back the layers of complexity, endeavoring to shed light on the unseen costs that lurk within the tapestry of economic and environmental interactions. The journey promises to be both enlightening and, dare we say, breath-taking.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the data collected from the Environmental Protection Agency and LSEG Analytics (Refinitiv) revealed a striking correlation between air pollution in Grand Junction, Colorado, and the stock price of POSCO Holdings (PKX). Over the period from 2002 to 2023, our research team found a remarkably robust correlation coefficient of 0.8022025. This coefficient indicated a strong positive relationship between the levels of air pollution and the fluctuations in POSCO Holdings' stock price, highlighting the unexpected interconnectedness between seemingly disparate realms.

Furthermore, the r-squared value of 0.6435288 suggested that approximately 64.35% of the variability in POSCO Holdings' stock price could be explained by changes in air pollution levels in Grand Junction. This finding underscores the significance of air quality as a potential contributing factor to the fluctuations in the stock market, challenging conventional assumptions and inviting a reevaluation of the complex interplay between environmental conditions and financial dynamics.

Remarkably, the statistical significance of our findings was substantiated by a p-value of less than 0.01, providing strong evidence against the null hypothesis of no relationship between air pollution and POSCO Holdings' stock price. This compelling result further emphasizes the substantial impact of air pollution on the movements of financial markets, revealing the far-reaching implications of environmental quality on economic systems.

In our endeavor to visually capture this intriguing correlation, we present Figure 1, a scatterplot that graphically depicts the strong relationship between air pollution levels and POSCO Holdings' stock price. The scatterplot succinctly portrays the alignment of the data points, reaffirming the coherence of our statistical findings and offering a visual testament to the underlying interdependence between environmental factors and stock market performance.

Our investigation into the entwined relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price unearths a compelling narrative of unseen influences and interconnected repercussions within the realms of environmental quality and financial markets. The unexpected discoveries unveiled through this study emphasize the intricate nature of the unseen costs that permeate the delicate fabric of economic and environmental interactions, prompting a deeper reflection on the subtle and oft-overlooked forces shaping our financial landscapes.


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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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]]
The Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

[[LITERATURE REVIEW]]
The intricate relationship between air pollution and financial markets has been a subject of keen interest for researchers over the years. Smith and Doe (2017) conducted a comprehensive analysis of air pollution's impact on various economic indicators, while Jones et al. (2019) delved into the influence of environmental factors on stock price movements. Their findings provided valuable insights into the far-reaching consequences of air pollution on the economic landscape, laying the groundwork for further exploration.
Moving from the solemn realms of academic journals to the wider sea of literature, it's worth noting the diverse array of perspectives on environmental impact and financial dynamics. "The Economics of Clean Air" by Oates and "Environmental Finance" by Scholtens offer a deep dive into the complexities of environmental economics and sustainable finance, providing a solid theoretical foundation for understanding the interplay between air quality and economic activities. On the other end of the spectrum, fictional works such as "Smoke and Mirrors" by Neil Gaiman and "The Polluted Promise" by Agatha Christie offer a more imaginative take on the unseen repercussions of pollution, serving as a delightful departure from the empirical rigor of academic literature.
In the quest for a holistic understanding of the intersecting domains of air pollution and financial markets, a peek into the world of entertainment could yield intriguing parallels. TV shows such as "Breaking Bad" and "Better Call Saul," with their dramatic depictions of chemical enterprises and their unforeseen consequences, provide an oddly captivating lens through which to contemplate the latent repercussions of environmental degradation on corporate entities. The quirky humor of "Parks and Recreation" offers an unexpected yet refreshing perspective on the bureaucratic hurdles and absurdities entwined with environmental policymaking, reminding us that even in the throes of serious matters, there's always room for a chuckle.
As we embrace the eccentric tapestry of sources and influences, it is evident that the intersection of air pollution and financial markets has managed to capture the imagination across a spectrum of disciplines and genres. This vibrant amalgamation of serious scholarship, fiction, and entertainment underscores the pervasive impact of air pollution on diverse facets of human endeavors, while adding a touch of levity to the otherwise weighty discourse.

[[RESULTS]]
The statistical analysis of the data collected from the Environmental Protection Agency and LSEG Analytics (Refinitiv) revealed a striking correlation between air pollution in Grand Junction, Colorado, and the stock price of POSCO Holdings (PKX). Over the period from 2002 to 2023, our research team found a remarkably robust correlation coefficient of 0.8022025. This coefficient indicated a strong positive relationship between the levels of air pollution and the fluctuations in POSCO Holdings' stock price, highlighting the unexpected interconnectedness between seemingly disparate realms.
Furthermore, the r-squared value of 0.6435288 suggested that approximately 64.35% of the variability in POSCO Holdings' stock price could be explained by changes in air pollution levels in Grand Junction. This finding underscores the significance of air quality as a potential contributing factor to the fluctuations in the stock market, challenging conventional assumptions and inviting a reevaluation of the complex interplay between environmental conditions and financial dynamics.
Remarkably, the statistical significance of our findings was substantiated by a p-value of less than 0.01, providing strong evidence against the null hypothesis of no relationship between air pollution and POSCO Holdings' stock price. This compelling result further emphasizes the substantial impact of air pollution on the movements of financial markets, revealing the far-reaching implications of environmental quality on economic systems.
In our endeavor to visually capture this intriguing correlation, we present Figure 1, a scatterplot that graphically depicts the strong relationship between air pollution levels and POSCO Holdings' stock price. The scatterplot succinctly portrays the alignment of the data points, reaffirming the coherence of our statistical findings and offering a visual testament to the underlying interdependence between environmental factors and stock market performance.
Our investigation into the entwined relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price unearths a compelling narrative of unseen influences and interconnected repercussions within the realms of environmental quality and financial markets. The unexpected discoveries unveiled through this study emphasize the intricate nature of the unseen costs that permeate the delicate fabric of economic and environmental interactions, prompting a deeper reflection on the subtle and oft-overlooked forces shaping our financial landscapes.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

The results of our study provide compelling evidence supporting the existence of a significant correlation between air pollution in Grand Junction, Colorado, and the stock price of POSCO Holdings (PKX). Our findings align with previous research by Smith and Doe (2017) and Jones et al. (2019), offering valuable insights into the pervasive impact of environmental factors on financial dynamics. While the connection between air pollution and human health has been extensively documented, our study sheds light on the lesser-known repercussions of air quality on stock market behavior.

In our literature review, we playfully meandered through a wide array of scholarly and non-scholarly sources, including fictional works and TV shows, to underline the far-reaching consequences of pollution on various aspects of human life. This eclectic approach serves to highlight the multifaceted nature of the topic and, as a whimsical bonus, add a touch of levity to the otherwise weighty discourse. Surprisingly, a seemingly tangential book, "Smoke and Mirrors" by Neil Gaiman, struck a chord with our findings, hinting at the unforeseen consequences of pollution – a hint we took very seriously, amidst the humor.

Our empirical results, with a robust correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01, echo the findings of Smith, Doe, Jones, and other scholarly works. It is both intriguing and reassuring to see the threads of our analysis weaving seamlessly into this broader tapestry of research. This congruence serves as a testament to the validity and reliability of our findings, reinforcing the emergent narrative of the invisible dance between environmental quality and financial markets.

While our study provides compelling evidence of the relationship between air pollution in Grand Junction and POSCO Holdings' stock price, it is worth noting that correlation does not imply causation. However, the statistical strength and significance of our results prompt a deeper reflection on the intricate web of influences shaping stock market behaviors. Through our investigation, we have unraveled a compelling narrative of hidden forces and their intertwined implications within the realms of environmental quality and financial markets. This invites further exploration into the unseen costs that permeate the delicate fabric of economic and environmental interactions.

As we navigate through this cryptic territory, the results of our study prompt economists and environmentalists alike to recognize the substantial impact of air pollution on financial systems. The convergence of seemingly disparate realms, while unexpected, offers a tantalizing glimpse into the intricate web of influences at play. Our findings call for a reevaluation of the subtler forces shaping financial landscapes and offer a poignant reminder that even in the serious realms of scholarly research, there's always room for a touch of whimsy.


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 Grand Junction, Colorado and POSCO Holdings' stock price (PKX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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]]
The Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price

[[ABSTRACT]]
In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.

While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.

As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

[[INTRDUCTION]]
The interconnectedness of seemingly unrelated phenomena has always been a source of fascination in the world of research. From the tiniest microbe to the grandest corporation, the intricate webs of influence and interdependence can often surprise even the most discerning of observers. In this study, we endeavor to unveil a surprising link between the air pollution levels in Grand Junction, Colorado, and the stock price fluctuations of POSCO Holdings (PKX). While at first glance, one might dismiss the possibility of any correlation between these two disparate entities, our investigation exposes an unexpected relationship that could have far-reaching implications.
Our foray into this unconventional exploration was not without its challenges, as we navigated through the labyrinthine corridors of environmental data and financial time series. The endeavor was not only an exercise in statistical acrobatics but also a sojourn into uncharted territory where environmental quality and stock market dynamics converge. As we untangled the enigmatic threads of air pollution and stock price movements, we were continually reminded of the subtle interconnectedness that exists within the world of markets and the natural environment.
The research is driven by the belief that every breath of air and every movement of the market holds within it a tale waiting to be unraveled. Our findings, though unexpected, paint a nuanced picture of the invisible forces at play, challenging traditional views and echoing the ancient adage: "the winds of change blow where they will, and sometimes they carry with them unforeseen consequences."
As we plunge deeper into this analysis, it becomes apparent that the stock market, much like the atmosphere we breathe, is not impervious to the subtle nuances of its surroundings. Could it be that the city's atmospheric haze casts a shadow over the stock's fate, or is it the capricious dance of market forces that taints the purity of the air? Our investigation sets the stage for a thought-provoking exploration, invoking deeper introspection into the intricate dance of influence and exchange between the environment and financial realms.
Join us as we peel back the layers of complexity, endeavoring to shed light on the unseen costs that lurk within the tapestry of economic and environmental interactions. The journey promises to be both enlightening and, dare we say, breath-taking.

[[RESULTS]]
The statistical analysis of the data collected from the Environmental Protection Agency and LSEG Analytics (Refinitiv) revealed a striking correlation between air pollution in Grand Junction, Colorado, and the stock price of POSCO Holdings (PKX). Over the period from 2002 to 2023, our research team found a remarkably robust correlation coefficient of 0.8022025. This coefficient indicated a strong positive relationship between the levels of air pollution and the fluctuations in POSCO Holdings' stock price, highlighting the unexpected interconnectedness between seemingly disparate realms.
Furthermore, the r-squared value of 0.6435288 suggested that approximately 64.35% of the variability in POSCO Holdings' stock price could be explained by changes in air pollution levels in Grand Junction. This finding underscores the significance of air quality as a potential contributing factor to the fluctuations in the stock market, challenging conventional assumptions and inviting a reevaluation of the complex interplay between environmental conditions and financial dynamics.
Remarkably, the statistical significance of our findings was substantiated by a p-value of less than 0.01, providing strong evidence against the null hypothesis of no relationship between air pollution and POSCO Holdings' stock price. This compelling result further emphasizes the substantial impact of air pollution on the movements of financial markets, revealing the far-reaching implications of environmental quality on economic systems.
In our endeavor to visually capture this intriguing correlation, we present Figure 1, a scatterplot that graphically depicts the strong relationship between air pollution levels and POSCO Holdings' stock price. The scatterplot succinctly portrays the alignment of the data points, reaffirming the coherence of our statistical findings and offering a visual testament to the underlying interdependence between environmental factors and stock market performance.
Our investigation into the entwined relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price unearths a compelling narrative of unseen influences and interconnected repercussions within the realms of environmental quality and financial markets. The unexpected discoveries unveiled through this study emphasize the intricate nature of the unseen costs that permeate the delicate fabric of economic and environmental interactions, prompting a deeper reflection on the subtle and oft-overlooked forces shaping our financial landscapes.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

The findings of this study have unveiled a surprising connection between the air pollution levels in Grand Junction, Colorado, and the stock price fluctuations of POSCO Holdings (PKX). The remarkably robust correlation coefficient of 0.8022025 and the statistically significant p-value of less than 0.01 offer compelling evidence of the interrelation between these seemingly disparate realms. It is clear that the whims of the market do not exist in a vacuum but are influenced by the subtle nuances of the surrounding environment. Our endeavor to shine a light on this elusive relationship has not only challenged conventional wisdom but has also opened the floodgates of inquiry into the often-overlooked forces that sway financial markets.

As we wrap up this investigation, it becomes evident that the smog's lingering embrace may indeed have unforeseen consequences on the stock's uncertain fate, and perhaps the capricious dance of market forces does cast a shadow on the city's atmospheric purity. There is no denying that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices. However, we must also acknowledge the light-hearted assertion that it's not just the stock market that feels the impact of polluted air - perhaps the market is also just trying to gasp for a breath of fresh air!

In conclusion, this study prompts a reevaluation of the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices. It beckons us to consider the far-reaching implications of our collective environmental choices and leaves us with a lingering whisper to take a deep breath and ponder the unseen costs lurking within the intersections of finance and the environment.

It is our firm belief that no further research is needed in this area - after all, who would have thought that the air we breathe could have such a profound impact on the stocks we trade? The enigmatic relationship between air pollution and stock price movements leaves us with one clear observation - the market may indeed need a breath of fresh air.


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 Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Environmental Economics and Financial Markets


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 Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Environmental Economics and Economic Impacts


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 Unseen Costs: A Breath of Fresh Air on the Link Between Air Pollution in Grand Junction and POSCO Holdings' Stock Price with an abstract of In this study, we delve into the entangled relationship between air pollution in Grand Junction, Colorado, and the fluctuations of POSCO Holdings' stock price (PKX). Utilizing data from the Environmental Protection Agency and LSEG analytics (Refinitiv), we embarked on a journey to unravel the mysteries lurking within the interconnected realms of environmental quality and financial markets. Our findings revealed a correlation coefficient of 0.8022025 and a statistically significant p-value of less than 0.01 when analyzing the time period from 2002 to 2023.
While the link between air pollution and human health has been extensively studied, our approach scrutinizes the inconspicuous repercussions on the stock market, illuminating the subtle impact of air quality on financial dynamics. The results, though unexpected, shed light on the intricate web of hidden influences shaping market behavior, reminding us that the ecosystem, in its entirety, bears weight on the tumultuous dance of stock prices.
As we navigate through these cryptic waters, we urge readers to ponder the poignant question: could the smog's lingering embrace be intertwined with the stock's uncertain fate, or is it the whims of the market that cast a shadow on the city's atmospheric purity? This investigation opens a window into the unexplored territory where finance and environment intersect, challenging conventional wisdom and beckoning us to consider the far-reaching implications of our collective environmental choices.

ChatGPT:

air pollution, Grand Junction Colorado, POSCO Holdings, stock price, correlation, environmental quality, financial markets, environmental impact, market behavior, stock market, smog, atmospheric purity, environmental choices, Evironmental Protection Agency, LSEG analytics, Refinitiv, ecosystem, market dynamics, stock fluctuations, hidden influences

*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 Grand Junction, Colorado
Detailed data title: Percentage of days with moderate or worse air quality in Grand Junction, CO
Source: Environmental Protection Agency
See what else correlates with Air pollution in Grand Junction, Colorado

POSCO Holdings' stock price (PKX)
Detailed data title: Opening price of POSCO Holdings (PKX) on the first trading day of the year
Source: LSEG Analytics (Refinitiv)
Additional Info: Via Microsoft Excel Stockhistory function

See what else correlates with POSCO Holdings' stock price (PKX)

Correlation r = 0.8022025 (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 = 0.6435288 (Coefficient of determination)
This means 64.4% of the change in the one variable (i.e., POSCO Holdings' stock price (PKX)) is predictable based on the change in the other (i.e., Air pollution in Grand Junction, Colorado) over the 22 years from 2002 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 7.11E-6. 0.0000071053841696218470000000
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 0.8 in 0.000711% of random cases. Said differently, if you correlated 140,738 random variables You don't actually need 140 thousand 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 21 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 21 because we have two variables measured over a period of 22 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.

[ 0.58, 0.91 ] 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.
2002200320042005200620072008200920102011201220132014201520162017201820192020202120222023
Air pollution in Grand Junction, Colorado (Bad air quality days)10.1379.192212.957711.780815.342532.602745.628436.986337.808244.383645.355237.808231.232930.684928.961734.794540.821920.604417.486323.835616.438413.4199
POSCO Holdings' stock price (PKX) (Stock price)23.224.9534.544.5449.8880.45149.0475.91133.61109.2684.5985.0276.9764.2934.3953.018153.0351.2763.3958.7553.7




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([10.137,9.1922,12.9577,11.7808,15.3425,32.6027,45.6284,36.9863,37.8082,44.3836,45.3552,37.8082,31.2329,30.6849,28.9617,34.7945,40.8219,20.6044,17.4863,23.8356,16.4384,13.4199,])
array_2 = np.array([23.2,24.95,34.5,44.54,49.88,80.45,149.04,75.91,133.61,109.26,84.59,85.02,76.97,64.29,34.39,53.01,81,53.03,51.27,63.39,58.75,53.7,])
array_1_name = "Air pollution in Grand Junction, Colorado"
array_2_name = "POSCO Holdings' stock price (PKX)"

# 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: 3771 · Black Variable ID: 20665 · Red Variable ID: 1829
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