AI explanation
As air pollution in Seneca increased, the local pigeon population became more aggressive. These unruly birds kept distracting bank customers, causing an uptick in transaction errors and ultimately leading to an increase in US bank failures. It seems the financial sector just couldn't handle the fowl play!Model: dalle-3
Prompt: Generate an image of a dystopian cityscape in Seneca, South Carolina, where pigeons are causing chaos outside the local banks due to worsening air quality. Show the agitated birds swooping down amidst city smog, with scattered feathers mixing with pollution. The scene should capture the disarrayed and polluted atmosphere, highlighting the impact of the unruly pigeon population on the city. Use a parallax art style to add depth and complexity to the visual depiction. 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 Seneca, South Carolina and US bank failures. 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: Surrealism Steampunk Voxel art Data cyber art Parallax art
ChatGPT: Parallax art
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 Seneca, South Carolina and US bank failures, in the following situation: As air pollution in Seneca increased, the local pigeon population became more aggressive. These unruly birds kept distracting bank customers, causing an uptick in transaction errors and ultimately leading to an increase in US bank failures. It seems the financial sector just couldn't handle the fowl play!. Keep the description simple.
ChatGPT: In Seneca, South Carolina, the air hung heavy with pollution as the local pigeon population soared overhead. The birds, agitated by the worsening air quality, swooped down and caused chaos outside the local banks. Their unruly behavior disrupted customers, leading to an increase in transaction errors and ultimately contributing to US bank failures. The scattered feathers mixed with the city smog, creating a disarrayed and polluted scene in the heart of Seneca.
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: [ Parallax art ] and depicting this scene: In Seneca, South Carolina, the air hung heavy with pollution as the local pigeon population soared overhead. The birds, agitated by the worsening air quality, swooped down and caused chaos outside the local banks. Their unruly behavior disrupted customers, leading to an increase in transaction errors and ultimately contributing to US bank failures. The scattered feathers mixed with the city smog, creating a disarrayed and polluted scene in the heart of Seneca. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a dystopian cityscape in Seneca, South Carolina, where pigeons are causing chaos outside the local banks due to worsening air quality. Show the agitated birds swooping down amidst city smog, with scattered feathers mixing with pollution. The scene should capture the disarrayed and polluted atmosphere, highlighting the impact of the unruly pigeon population on the city. Use a parallax art style to add depth and complexity to the visual depiction.
*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.
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 Seneca, South Carolina positively influenced US bank failures. Add a funny one-liner at the end.
AI academic paper
The Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures The Journal of Ecological Economics and Unintended Consequences Jan 2024 |
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.
Make the title seem clever.
Your research team used data from Environmental Protection Agency and FDIC to assess this nagging question. You found a correlation coefficient of 0.8266165 and p < 0.05 for 2000 to 2007.
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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. 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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
-------
Your response should start like this:
[[INTRODUCTION]]
ChatGPT:
INTRODUCTION
The connection between environmental factors and financial institutions has been a subject of increasing interest and speculation in recent years. While the influence of air pollution on human health and the environment has been well-documented, its potential impact on the stability of financial institutions has been a less explored area of inquiry. This study seeks to address this gap by examining the relationship between air pollution in Seneca, South Carolina, and the occurrence of bank failures across the United States.
Seneca, a quaint city nestled in the foothills of South Carolina, has been grappling with air pollution issues stemming from industrial activities and traffic congestion. As the unmistakable scent of manufacturing processes intermingles with the pure, fresh air of the region, the impact of these emissions on the local environment becomes increasingly apparent. Against this backdrop, the question arises: could these pollution levels also be casting a murky shadow over the financial sector?
The economic implications of environmental factors are often overlooked in favor of more tangible and immediate concerns. However, as we delve into the data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, a compelling association between air quality and bank failures begins to emerge. The correlation coefficient of 0.8266165 presents itself as a beacon of statistical significance, beckoning us to scrutinize this unanticipated relationship with a keen eye and a dry sense of humor.
As we venture into the complex terrain of environmental impact on financial stability, it becomes evident that the traditional boundaries of cause and effect may need to be redrawn. Our investigation not only aims to unravel the intricate threads linking air pollution and bank failures but also to showcase the latent wit and charm of statistical analysis in elucidating these unexpected connections.
The path ahead is shrouded in uncertainty, much like the hazy veil of smog that obscures the South Carolina skies. Yet, armed with empirical evidence and a healthy dose of academic skepticism, we shall embark on this research journey to uncover the hidden ties that bind the atmospheric intricacies of Seneca to the ledger entries of US financial institutions. In doing so, we seek to not only broaden our understanding of the far-reaching impact of environmental factors but also to inject a touch of levity into the often austere realm of academic inquiry.
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. 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 you might move on to cartoons and children's shows that you watched for research.
Here is the title and abstract of the paper:
[[TITLE]]
"The Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
-------
And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
The connection between environmental factors and financial institutions has been a subject of increasing interest and speculation in recent years. While the influence of air pollution on human health and the environment has been well-documented, its potential impact on the stability of financial institutions has been a less explored area of inquiry. This study seeks to address this gap by examining the relationship between air pollution in Seneca, South Carolina, and the occurrence of bank failures across the United States.
Seneca, a quaint city nestled in the foothills of South Carolina, has been grappling with air pollution issues stemming from industrial activities and traffic congestion. As the unmistakable scent of manufacturing processes intermingles with the pure, fresh air of the region, the impact of these emissions on the local environment becomes increasingly apparent. Against this backdrop, the question arises: could these pollution levels also be casting a murky shadow over the financial sector?
The economic implications of environmental factors are often overlooked in favor of more tangible and immediate concerns. However, as we delve into the data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, a compelling association between air quality and bank failures begins to emerge. The correlation coefficient of 0.8266165 presents itself as a beacon of statistical significance, beckoning us to scrutinize this unanticipated relationship with a keen eye and a dry sense of humor.
As we venture into the complex terrain of environmental impact on financial stability, it becomes evident that the traditional boundaries of cause and effect may need to be redrawn. Our investigation not only aims to unravel the intricate threads linking air pollution and bank failures but also to showcase the latent wit and charm of statistical analysis in elucidating these unexpected connections.
The path ahead is shrouded in uncertainty, much like the hazy veil of smog that obscures the South Carolina skies. Yet, armed with empirical evidence and a healthy dose of academic skepticism, we shall embark on this research journey to uncover the hidden ties that bind the atmospheric intricacies of Seneca to the ledger entries of US financial institutions. In doing so, we seek to not only broaden our understanding of the far-reaching impact of environmental factors but also to inject a touch of levity into the often austere realm of academic inquiry.
-------
Your response should start like this:
[[LITERATURE REVIEW]]
ChatGPT:
[[LITERATURE REVIEW]]
The authors find a high prevalence of studies examining the impact of air pollution on public health, environmental quality, and even cognitive function. Smith (2010) discusses the deleterious effects of particulate matter on respiratory health, while Doe (2015) presents evidence of the pervasive influence of air pollution on climate change. These studies underscore the multifaceted nature of air pollution and its far-reaching consequences, extending beyond the traditional realms of environmental and public health discourse.
In "Atmospheric Chemistry and Physics," the authors find a correlation between air pollution levels and the formation of atmospheric aerosols, shedding light on the intricate interplay of chemical compounds in the atmosphere. Similarly, "Environmental Science & Technology" delves into the complex dynamics of air pollutant transport and dispersion, elucidating the mechanisms underlying the spatial distribution of pollutants in urban and rural settings.
Turning to non-fiction works related to environmental economics, "The Economics of Climate Change" by Stern (2007) and "Environmental and Natural Resource Economics" by Tietenberg and Lewis (2018) offer comprehensive insights into the economic implications of environmental degradation and climate change. Meanwhile, the intersection of environmental concerns and financial institutions is broached in "The Green Market Oracle" by Jones (2012), providing a broader context for our exploration of the murky relationship between air pollution and bank failures.
However, veering into less conventional avenues of inquiry, the literature on fictional works with tangential relevance to the topic is surprisingly rich. Cormac McCarthy's "The Road" depicts a post-apocalyptic world ravaged by environmental catastrophe, prompting reflections on the potential implications of ecological disasters on economic systems. Similarly, Margaret Atwood's "Oryx and Crake" paints a dystopian vision of a world reeling from the fallout of climate change, offering a speculative lens through which to contemplate the ripple effects of environmental crises on financial institutions.
As our scholarly pursuits take an unexpected turn, it behooves us to consider the less orthodox sources of insight that may contribute to our understanding of this enigmatic correlation. In this spirit, an examination of children's television programming such as "Captain Planet and the Planeteers" and "The Magic School Bus" may offer unconventional, yet surprisingly enlightening perspectives on the interactions between environmental health and financial viability. While these unorthodox sources may raise eyebrows in academic circles, their potential to infuse a sense of whimsy and imagination into our rigorous analysis must not be dismissed lightly. After all, the pursuit of knowledge is not merely a scholarly endeavor but also a voyage of discovery laced with unexpected encounters and, dare I say, a hint of mirth.
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. 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 FDIC . You used data from 2000 to 2007
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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
[[INTRODUCTION]]
INTRODUCTION
The connection between environmental factors and financial institutions has been a subject of increasing interest and speculation in recent years. While the influence of air pollution on human health and the environment has been well-documented, its potential impact on the stability of financial institutions has been a less explored area of inquiry. This study seeks to address this gap by examining the relationship between air pollution in Seneca, South Carolina, and the occurrence of bank failures across the United States.
Seneca, a quaint city nestled in the foothills of South Carolina, has been grappling with air pollution issues stemming from industrial activities and traffic congestion. As the unmistakable scent of manufacturing processes intermingles with the pure, fresh air of the region, the impact of these emissions on the local environment becomes increasingly apparent. Against this backdrop, the question arises: could these pollution levels also be casting a murky shadow over the financial sector?
The economic implications of environmental factors are often overlooked in favor of more tangible and immediate concerns. However, as we delve into the data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, a compelling association between air quality and bank failures begins to emerge. The correlation coefficient of 0.8266165 presents itself as a beacon of statistical significance, beckoning us to scrutinize this unanticipated relationship with a keen eye and a dry sense of humor.
As we venture into the complex terrain of environmental impact on financial stability, it becomes evident that the traditional boundaries of cause and effect may need to be redrawn. Our investigation not only aims to unravel the intricate threads linking air pollution and bank failures but also to showcase the latent wit and charm of statistical analysis in elucidating these unexpected connections.
The path ahead is shrouded in uncertainty, much like the hazy veil of smog that obscures the South Carolina skies. Yet, armed with empirical evidence and a healthy dose of academic skepticism, we shall embark on this research journey to uncover the hidden ties that bind the atmospheric intricacies of Seneca to the ledger entries of US financial institutions. In doing so, we seek to not only broaden our understanding of the far-reaching impact of environmental factors but also to inject a touch of levity into the often austere realm of academic inquiry.
-------
Your response should start like this:
[[METHODOLOGY]]
ChatGPT:
[[METHODOLOGY]]
Data Collection:
The data utilized in this study were sourced from the Environmental Protection Agency's Air Quality System (AQS) and the Federal Deposit Insurance Corporation's (FDIC) repository of bank failure statistics. The AQS database provided air quality measurements, including particulate matter, sulfur dioxide, nitrogen dioxide, and ozone levels, collected through a network of monitoring stations across the United States. Meanwhile, the FDIC database furnished comprehensive records of bank failures during the period from 2000 to 2007, offering insight into the financial landscape during the specified timeframe.
To ensure the comprehensiveness of the air quality data, we tapped into a plethora of sources from the internet, summoning forth a digital army of data to bolster our analytical endeavors. The Environmental Protection Agency's website emerged as a veritable treasure trove of pollution-related statistics, as we scoured through its virtual corridors in pursuit of the elusive relationship between airborne contaminants and financial tumult. Similarly, the FDIC's online repository beckoned us with the allure of countless data points, each embodying a story of fiscal distress and economic upheaval waiting to be unearthed.
Data Analysis:
In our pursuit of statistical enlightenment, we turned to the hallowed halls of regression analysis to decode the enigmatic dance between air pollution and bank failures. By harnessing the prowess of multiple regression models, we sought to disentangle the intricate web of variables interwoven in the fabric of this perplexing association.
Employing a melange of statistical software, we conducted a rigorous examination of the data, subjecting it to the relentless scrutiny of econometric techniques and hypothesis testing. Through this rigorous process, we probed the data to uncover any semblance of a relationship, no matter how faint or shyly lurking it might have been.
Given the esoteric nature of the inquiry, it was imperative to approach the analysis with the appropriate blend of sagacity and a not-so-subtle dash of whimsy. Our statistical models were therefore imbued with an air of quirkiness and intellectual levity, ensuring that the hallowed traditions of academic inquiry were not devoid of a subtle hint of playfulness.
As we navigated the choppy waters of correlation coefficients and p-values, our interpretive gaze remained vigilant, ever on the lookout for the unexpected, the eccentric, and the statistically significant. The mandate of uncovering the hidden connections between the atmospheric nuances of Seneca and the financial fate of US banks propelled us forward with a sense of purpose and a touch of academic mischievousness.
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. 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 FDIC .
For the time period 2000 to 2007, you found a correlation 0.8266165, r-squared of 0.6832949, and p < 0.05.
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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
-------
And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
The connection between environmental factors and financial institutions has been a subject of increasing interest and speculation in recent years. While the influence of air pollution on human health and the environment has been well-documented, its potential impact on the stability of financial institutions has been a less explored area of inquiry. This study seeks to address this gap by examining the relationship between air pollution in Seneca, South Carolina, and the occurrence of bank failures across the United States.
Seneca, a quaint city nestled in the foothills of South Carolina, has been grappling with air pollution issues stemming from industrial activities and traffic congestion. As the unmistakable scent of manufacturing processes intermingles with the pure, fresh air of the region, the impact of these emissions on the local environment becomes increasingly apparent. Against this backdrop, the question arises: could these pollution levels also be casting a murky shadow over the financial sector?
The economic implications of environmental factors are often overlooked in favor of more tangible and immediate concerns. However, as we delve into the data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, a compelling association between air quality and bank failures begins to emerge. The correlation coefficient of 0.8266165 presents itself as a beacon of statistical significance, beckoning us to scrutinize this unanticipated relationship with a keen eye and a dry sense of humor.
As we venture into the complex terrain of environmental impact on financial stability, it becomes evident that the traditional boundaries of cause and effect may need to be redrawn. Our investigation not only aims to unravel the intricate threads linking air pollution and bank failures but also to showcase the latent wit and charm of statistical analysis in elucidating these unexpected connections.
The path ahead is shrouded in uncertainty, much like the hazy veil of smog that obscures the South Carolina skies. Yet, armed with empirical evidence and a healthy dose of academic skepticism, we shall embark on this research journey to uncover the hidden ties that bind the atmospheric intricacies of Seneca to the ledger entries of US financial institutions. In doing so, we seek to not only broaden our understanding of the far-reaching impact of environmental factors but also to inject a touch of levity into the often austere realm of academic inquiry.
-------
Your response should start like this:
[[RESULTS]]
ChatGPT:
[[RESULTS]]
The data analysis revealed a strong positive correlation between air pollution levels in Seneca, South Carolina, and the occurrence of bank failures across the United States during the period from 2000 to 2007. The correlation coefficient of 0.8266165 indicated a robust relationship between these seemingly disparate variables. Furthermore, the coefficient of determination (r-squared) of 0.6832949 suggested that approximately 68.32% of the variability in bank failures could be explained by the variation in air pollution levels. The significance of this relationship was underscored by a p-value of less than 0.05, affirming the statistical significance of the observed association.
The scatterplot depicted in Figure 1 visually encapsulates the striking correlation between air pollution levels and bank failures, offering a compelling representation of the convergence of environmental and financial phenomena. The data points form a discernible pattern, conveying the message that the impact of air pollution extends beyond the realms of atmosphere and ecology, infiltrating the intricate web of financial stability with unexpected potency.
These results not only elucidate the pronounced link between air pollution in Seneca and US bank failures but also prompt a reconsideration of the conventional boundaries demarcating environmental and economic domains. The tendrils of air pollution appear to weave a tapestry of influence that transcends geographic and sectoral confines, casting a shadow that reaches far beyond the region's smog-choked skies.
The unanticipated affinity between air pollution and bank failures unfurls a cryptic narrative, inviting further exploration and interpretation. The implications of these findings extend beyond the empirical realm, evoking a contemplation of the interconnectedness of seemingly disparate facets of human experience. In the labyrinthine corridors of statistical analysis, the unexpected often lurks, waiting to be unearthed by the discerning gaze of scholarly inquiry.
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. 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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
[[LITERATURE REVIEW]]
The authors find a high prevalence of studies examining the impact of air pollution on public health, environmental quality, and even cognitive function. Smith (2010) discusses the deleterious effects of particulate matter on respiratory health, while Doe (2015) presents evidence of the pervasive influence of air pollution on climate change. These studies underscore the multifaceted nature of air pollution and its far-reaching consequences, extending beyond the traditional realms of environmental and public health discourse.
In "Atmospheric Chemistry and Physics," the authors find a correlation between air pollution levels and the formation of atmospheric aerosols, shedding light on the intricate interplay of chemical compounds in the atmosphere. Similarly, "Environmental Science & Technology" delves into the complex dynamics of air pollutant transport and dispersion, elucidating the mechanisms underlying the spatial distribution of pollutants in urban and rural settings.
Turning to non-fiction works related to environmental economics, "The Economics of Climate Change" by Stern (2007) and "Environmental and Natural Resource Economics" by Tietenberg and Lewis (2018) offer comprehensive insights into the economic implications of environmental degradation and climate change. Meanwhile, the intersection of environmental concerns and financial institutions is broached in "The Green Market Oracle" by Jones (2012), providing a broader context for our exploration of the murky relationship between air pollution and bank failures.
However, veering into less conventional avenues of inquiry, the literature on fictional works with tangential relevance to the topic is surprisingly rich. Cormac McCarthy's "The Road" depicts a post-apocalyptic world ravaged by environmental catastrophe, prompting reflections on the potential implications of ecological disasters on economic systems. Similarly, Margaret Atwood's "Oryx and Crake" paints a dystopian vision of a world reeling from the fallout of climate change, offering a speculative lens through which to contemplate the ripple effects of environmental crises on financial institutions.
As our scholarly pursuits take an unexpected turn, it behooves us to consider the less orthodox sources of insight that may contribute to our understanding of this enigmatic correlation. In this spirit, an examination of children's television programming such as "Captain Planet and the Planeteers" and "The Magic School Bus" may offer unconventional, yet surprisingly enlightening perspectives on the interactions between environmental health and financial viability. While these unorthodox sources may raise eyebrows in academic circles, their potential to infuse a sense of whimsy and imagination into our rigorous analysis must not be dismissed lightly. After all, the pursuit of knowledge is not merely a scholarly endeavor but also a voyage of discovery laced with unexpected encounters and, dare I say, a hint of mirth.
[[RESULTS]]
The data analysis revealed a strong positive correlation between air pollution levels in Seneca, South Carolina, and the occurrence of bank failures across the United States during the period from 2000 to 2007. The correlation coefficient of 0.8266165 indicated a robust relationship between these seemingly disparate variables. Furthermore, the coefficient of determination (r-squared) of 0.6832949 suggested that approximately 68.32% of the variability in bank failures could be explained by the variation in air pollution levels. The significance of this relationship was underscored by a p-value of less than 0.05, affirming the statistical significance of the observed association.
The scatterplot depicted in Figure 1 visually encapsulates the striking correlation between air pollution levels and bank failures, offering a compelling representation of the convergence of environmental and financial phenomena. The data points form a discernible pattern, conveying the message that the impact of air pollution extends beyond the realms of atmosphere and ecology, infiltrating the intricate web of financial stability with unexpected potency.
These results not only elucidate the pronounced link between air pollution in Seneca and US bank failures but also prompt a reconsideration of the conventional boundaries demarcating environmental and economic domains. The tendrils of air pollution appear to weave a tapestry of influence that transcends geographic and sectoral confines, casting a shadow that reaches far beyond the region's smog-choked skies.
The unanticipated affinity between air pollution and bank failures unfurls a cryptic narrative, inviting further exploration and interpretation. The implications of these findings extend beyond the empirical realm, evoking a contemplation of the interconnectedness of seemingly disparate facets of human experience. In the labyrinthine corridors of statistical analysis, the unexpected often lurks, waiting to be unearthed by the discerning gaze of scholarly inquiry.
-------
Your response should start like this:
[[DISCUSSION]]
ChatGPT:
[[DISCUSSION]]
The findings of this study provide empirical support for previous research that has explored the multifaceted impact of air pollution on various aspects of human existence. The unexpectedly robust correlation between air pollution levels in Seneca, South Carolina, and the occurrence of bank failures across the United States aligns with the growing body of literature that recognizes the pervasive influence of environmental factors on economic stability.
The existing scholarship has traditionally focused on the detrimental effects of air pollution on public health and environmental quality, neglecting its potential repercussions on financial institutions. However, our results challenge this narrow perspective, demonstrating that the tendrils of air pollution reach deep into the intricate fabric of the financial sector. The significant correlation coefficient and p-value affirm the consequential nature of this connection, compelling us to reconsider the conventional boundaries delineating the spheres of environmental and economic inquiry.
Furthermore, our findings resonate with the less conventional threads of inquiry that we encountered in the literature review. The tangential relevance of fictional works by Cormac McCarthy and Margaret Atwood, which offer speculative visions of environmental catastrophe and its impact on economic systems, finds a surprising parallel in our empirical findings. As we reflect on the persuasive power of fiction to illuminate the shadows of reality, we are reminded of the unexpected encounters and insights that may arise from unorthodox sources of inspiration.
Moreover, the subtle humor and whimsical musings that permeated the literature review find an echo in the unexpected affinity between air pollution and bank failures. Just as the mention of children's television programming injected a hint of mirth into our scholarly pursuit, the unanticipated correlation evokes a sense of irony, emphasizing the intricacies of the world we seek to understand.
Our research brings to light the obscure interconnections that underlie seemingly disparate phenomena, inviting a reevaluation of the conventional boundaries constraining academic inquiry. The marriage of environmental and financial dynamics in the domain of statistical analysis may yield unexpected revelations, reminding us that the pursuit of knowledge is not merely a solemn undertaking but also a voyage infused with serendipitous encounters and, dare I say, a touch of whimsy.
Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.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 Seneca, South Carolina and US bank failures. 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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures"
[[ABSTRACT]]
This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
[[INTRDUCTION]]
INTRODUCTION
The connection between environmental factors and financial institutions has been a subject of increasing interest and speculation in recent years. While the influence of air pollution on human health and the environment has been well-documented, its potential impact on the stability of financial institutions has been a less explored area of inquiry. This study seeks to address this gap by examining the relationship between air pollution in Seneca, South Carolina, and the occurrence of bank failures across the United States.
Seneca, a quaint city nestled in the foothills of South Carolina, has been grappling with air pollution issues stemming from industrial activities and traffic congestion. As the unmistakable scent of manufacturing processes intermingles with the pure, fresh air of the region, the impact of these emissions on the local environment becomes increasingly apparent. Against this backdrop, the question arises: could these pollution levels also be casting a murky shadow over the financial sector?
The economic implications of environmental factors are often overlooked in favor of more tangible and immediate concerns. However, as we delve into the data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, a compelling association between air quality and bank failures begins to emerge. The correlation coefficient of 0.8266165 presents itself as a beacon of statistical significance, beckoning us to scrutinize this unanticipated relationship with a keen eye and a dry sense of humor.
As we venture into the complex terrain of environmental impact on financial stability, it becomes evident that the traditional boundaries of cause and effect may need to be redrawn. Our investigation not only aims to unravel the intricate threads linking air pollution and bank failures but also to showcase the latent wit and charm of statistical analysis in elucidating these unexpected connections.
The path ahead is shrouded in uncertainty, much like the hazy veil of smog that obscures the South Carolina skies. Yet, armed with empirical evidence and a healthy dose of academic skepticism, we shall embark on this research journey to uncover the hidden ties that bind the atmospheric intricacies of Seneca to the ledger entries of US financial institutions. In doing so, we seek to not only broaden our understanding of the far-reaching impact of environmental factors but also to inject a touch of levity into the often austere realm of academic inquiry.
[[RESULTS]]
The data analysis revealed a strong positive correlation between air pollution levels in Seneca, South Carolina, and the occurrence of bank failures across the United States during the period from 2000 to 2007. The correlation coefficient of 0.8266165 indicated a robust relationship between these seemingly disparate variables. Furthermore, the coefficient of determination (r-squared) of 0.6832949 suggested that approximately 68.32% of the variability in bank failures could be explained by the variation in air pollution levels. The significance of this relationship was underscored by a p-value of less than 0.05, affirming the statistical significance of the observed association.
The scatterplot depicted in Figure 1 visually encapsulates the striking correlation between air pollution levels and bank failures, offering a compelling representation of the convergence of environmental and financial phenomena. The data points form a discernible pattern, conveying the message that the impact of air pollution extends beyond the realms of atmosphere and ecology, infiltrating the intricate web of financial stability with unexpected potency.
These results not only elucidate the pronounced link between air pollution in Seneca and US bank failures but also prompt a reconsideration of the conventional boundaries demarcating environmental and economic domains. The tendrils of air pollution appear to weave a tapestry of influence that transcends geographic and sectoral confines, casting a shadow that reaches far beyond the region's smog-choked skies.
The unanticipated affinity between air pollution and bank failures unfurls a cryptic narrative, inviting further exploration and interpretation. The implications of these findings extend beyond the empirical realm, evoking a contemplation of the interconnectedness of seemingly disparate facets of human experience. In the labyrinthine corridors of statistical analysis, the unexpected often lurks, waiting to be unearthed by the discerning gaze of scholarly inquiry.
-------
Your response should start like this:
[[CONCLUSION]]
ChatGPT:
[[CONCLUSION]]
In conclusion, our research has shed light on the surprising and murky relationship between air pollution levels in Seneca, South Carolina, and the occurrence of bank failures across the United States. The robust correlation coefficient of 0.8266165 and the significant p-value of less than 0.05 attest to the compelling association between these seemingly unrelated phenomena. This unanticipated nexus of environmental and financial factors challenges conventional wisdom and prompts a reevaluation of the boundaries that demarcate their spheres of influence.
The findings presented in this study not only underscore the need for a nuanced understanding of the interconnectedness of environmental and economic dynamics but also highlight the pervasive reach of air pollution beyond its traditional domains. As we navigate the convoluted terrain of statistical analysis, it becomes evident that the tendrils of air pollution extend further than the eye can see, infiltrating the delicate fabric of financial stability with unexpected vigor.
While the ramifications of our research may seem befuddling at first glance, they offer a tantalizing glimpse into the intricate tapestry of human experience, where the strands of air pollution and bank failures intertwine in an enigmatic dance. The scatterplot in Figure 1 serves as a visual testament to this captivating convergence, encapsulating the evocative embrace of these disparate elements in a compelling tableau.
In light of these findings, it is imperative to acknowledge the far-reaching implications of air pollution on the stability of financial institutions. This unexpected correlation not only invites further exploration and contemplation but also underscores the need for a reinvigorated approach to understanding the interplay between environmental and economic forces.
As we draw the curtains on this research endeavor, it is clear that the allure of unexpected connections and hidden relationships continues to beckon us. However, in the immutable words of the great detective Sherlock Holmes, "When you have eliminated the impossible, whatever remains, however improbable, must be the truth." With this in mind, we assert that no further research in this arcane area of inquiry is warranted, and bid adieu to this enigmatic crossroads of air pollution and bank failures.
In the wise words of Shakespeare, "all's well that ends well" – or so we hope.
End of discussion.
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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures. Respond only with the name of a fictional academic journal.
ChatGPT:
The Journal of Ecological Economics and Unintended Consequences
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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures. Respond only with the name of a fictional organization.
ChatGPT:
The Institute for Environmental Economics and Global Financial Stability
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 Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures with an abstract of This study delves into the murky relationship between air pollution and financial institutions, using a case study of Seneca, South Carolina, and US bank failures. By utilizing data from the Environmental Protection Agency and the Federal Deposit Insurance Corporation, we examined the correlation between air pollution levels and bank failures from 2000 to 2007. Our findings revealed a surprisingly strong correlation coefficient of 0.8266165 and a significant p-value of less than 0.05. We shed light on this unexpected connection, demonstrating that the impact of air pollution goes beyond respiratory health and environmental concerns, extending its tentacles even into the financial sector. This paper aims to prove that when it comes to air pollution and bank failures, the correlation is not just up in the air, but also in the ledgers.
ChatGPT:
air pollution, financial institutions, bank failures, Seneca South Carolina, EPA data, Federal Deposit Insurance Corporation, correlation coefficient, p-value, environmental impact, financial sector
*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 Seneca, South CarolinaDetailed data title: Percentage of days 'unhealthy' or worse air quality in Seneca, SC
Source: Environmental Protection Agency
See what else correlates with Air pollution in Seneca, South Carolina
US bank failures
Detailed data title: Bank failures in the US
Source: FDIC
See what else correlates with US bank failures
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 = 0.6832949 (Coefficient of determination)
This means 68.3% of the change in the one variable (i.e., US bank failures) is predictable based on the change in the other (i.e., Air pollution in Seneca, South Carolina) over the 8 years from 2000 through 2007.
p < 0.05, which statistically significant(Null hypothesis significance test)
The p-value is 0.011. 0.0113948535380101900000000000
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 0.83 in 1.1% of random cases. Said differently, if you correlated 88 random variables Which I absolutely did.
with the same 7 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 7 because we have two variables measured over a period of 8 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.
[ 0.29, 0.97 ] 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.
2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | |
Air pollution in Seneca, South Carolina (Bad air quality days) | 0.00316456 | 0 | 0.0175439 | 0 | 0 | 0.00278552 | 0 | 0.00277008 |
US bank failures (Failed banks) | 2 | 4 | 11 | 3 | 4 | 0 | 0 | 3 |
Why this works
- Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
- Lack of causal connection: There is probably
Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied. - Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple
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. - Very low n: There are not many data points included in this analysis. Even if the p-value is high, we should be suspicious of using so few datapoints in a correlation.
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([0.00316456,0,0.0175439,0,0,0.00278552,0,0.00277008,])
array_2 = np.array([2,4,11,3,4,0,0,3,])
array_1_name = "Air pollution in Seneca, South Carolina"
array_2_name = "US bank failures"
# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)
# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)
Reuseable content
You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.
For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."
When spoken, my last name is pronounced "vegan," like I don't eat meat.
Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.
Download images for these variables:
- High resolution line chart
The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.
If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.
Alternatively you can use a tool like Inkscape. - High resolution line chart, optimized for mobile
- Alternative high resolution line chart
- Scatterplot
- Portable line chart (png)
- Portable line chart (png), optimized for mobile
- Line chart for only Air pollution in Seneca, South Carolina
- Line chart for only US bank failures
- AI-generated correlation image
- The spurious research paper: The Murky Relationship Between Air Pollution and Financial Institutions: A Case Study of Seneca, South Carolina and US Bank Failures
Cheers to you for rating this correlation!
Correlation ID: 4978 · Black Variable ID: 22124 · Red Variable ID: 899