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Spurious correlation #4,066 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The distance between Neptune and Uranus and the second variable is Chevron's stock price (CVX).  The chart goes from 2002 to 2023, and the two variables track closely in value over that time. Small Image

AI explanation

As the gap widened, it created a ripple effect on cosmic energy markets, leading to heightened demand for celestial fuel sources. Remember, in the stock market, even astronomical distances can't eclipse potential profits!

Model: dalle-3
Prompt: Generate an image of a minimalist space scene with a focus on Neptune and Uranus orbiting in the distance. The Earth subtly shifting on its axis should be shown with global wind patterns changing. A simple representation of Chevron's oil tankers at sea should be included, with the decreased air resistance aiding in more efficient fuel consumption. Finally, visualize the impact of this efficiency by indicating an increase in Chevron's stock price on a trading board, maintaining a clean and minimalist style throughout the entire image. 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: The distance between Neptune and Uranus and Chevron's stock price (CVX). 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: Hyper-realistic Minimalism Oragami Minimalism Minimalism
ChatGPT: Minimalism

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 The distance between Neptune and Uranus and Chevron's stock price (CVX), in the following situation: Because as the distance between Neptune and Uranus increased, it created a gravitational pull that subtly nudged the Earth, leading to a slight shift in the Earth's axis. This shift in turn caused a change in the patterns of global wind currents, resulting in a decrease in air resistance for Chevron's oil tankers, allowing for more efficient fuel consumption and higher profit margins - all reflected in an increase in Chevron's stock price.. Keep the description simple.
ChatGPT: In the vast expanse of space, Neptune and Uranus orbit in their distant celestial dance, with the increasing distance between them causing a gentle gravitational pull on the Earth. As the Earth subtly shifts on its axis, global wind patterns change, creating a decrease in air resistance for Chevron's oil tankers at sea. This allows for more efficient fuel consumption, leading to higher profit margins for Chevron, reflected in an increase in their stock price on the trading board.

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: [ Minimalism ] and depicting this scene: In the vast expanse of space, Neptune and Uranus orbit in their distant celestial dance, with the increasing distance between them causing a gentle gravitational pull on the Earth. As the Earth subtly shifts on its axis, global wind patterns change, creating a decrease in air resistance for Chevron's oil tankers at sea. This allows for more efficient fuel consumption, leading to higher profit margins for Chevron, reflected in an increase in their stock price on the trading board. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a minimalist space scene with a focus on Neptune and Uranus orbiting in the distance. The Earth subtly shifting on its axis should be shown with global wind patterns changing. A simple representation of Chevron's oil tankers at sea should be included, with the decreased air resistance aiding in more efficient fuel consumption. Finally, visualize the impact of this efficiency by indicating an increase in Chevron's stock price on a trading board, maintaining a clean and minimalist style throughout the entire image.

*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 an increase in The distance between Neptune and Uranus caused Chevron's stock price (CVX) to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

The Journal of Galactic Astrophysics and Planetary Dynamics

Jan 2024
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 witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Rhyme words in the title.

Your research team used data from Caclculated using Astropy and LSEG Analytics (Refinitiv) to assess this nagging question. You found a correlation coefficient of 0.8418564 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]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The celestial bodies have long captured the imagination of humanity, evoking wonder and curiosity about their influence on our daily lives. While astronomers and astrologers have speculated on the cosmic forces at play, the realm of finance has largely remained tethered to more earthly factors. However, this study delves into the uncharted territory that merges the distant worlds of planetary orbits and stock prices, uncovering a surprising correlation that challenges conventional notions of financial analysis.

As we set out on this cosmic journey, it is crucial to acknowledge the inherent skepticism surrounding the intersection of astrology and economics. Yet, our approach is firmly rooted in empirical evidence and statistical rigor, steering clear of the nebulous realms of celestial predictions. The aim of this research is not to cast horoscopes for market forecasts but to unravel the intriguing relationship between the orbital dynamics of Neptune and Uranus and the fluctuations in Chevron's stock price (CVX).

The connection may at first seem as distant as the planets themselves, but as we delve deeper into the data, a compelling narrative emerges. The average distance between Neptune and Uranus, two giants in our cosmic neighborhood, holds an unforeseen sway over the trajectories of a multinational energy corporation's stock. This unexpected linkage not only piques our scientific curiosity but also prompts a reevaluation of the conventional boundaries of financial analysis.

While we jest about celestial influence, our approach remains decidedly grounded in rigorous methodology. The data harnessed for this study is drawn from reputable sources, leveraging the precision of Astropy and the financial insights from LSEG Analytics (Refinitiv). Through meticulous analysis, we have unearthed a correlation coefficient of 0.8418564, accompanied by a p-value less than 0.01, defying the cosmic odds in the world of statistics.

As we embark on this unconventional voyage, it is our fervent hope that this study will not only ignite intellectual discourse but also spark a newfound appreciation for the cosmic ballet that weaves its enchanting influence on the financial markets. Let us then peer through the lens of statistics, as we unravel the cosmic bond between the distant orbiters and the frond of CVX, delving into a cosmic connect that defies traditional boundaries.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). 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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading CVS receipts.

Here is the title and abstract of the paper:
[[TITLE]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The celestial bodies have long captured the imagination of humanity, evoking wonder and curiosity about their influence on our daily lives. While astronomers and astrologers have speculated on the cosmic forces at play, the realm of finance has largely remained tethered to more earthly factors. However, this study delves into the uncharted territory that merges the distant worlds of planetary orbits and stock prices, uncovering a surprising correlation that challenges conventional notions of financial analysis.
As we set out on this cosmic journey, it is crucial to acknowledge the inherent skepticism surrounding the intersection of astrology and economics. Yet, our approach is firmly rooted in empirical evidence and statistical rigor, steering clear of the nebulous realms of celestial predictions. The aim of this research is not to cast horoscopes for market forecasts but to unravel the intriguing relationship between the orbital dynamics of Neptune and Uranus and the fluctuations in Chevron's stock price (CVX).
The connection may at first seem as distant as the planets themselves, but as we delve deeper into the data, a compelling narrative emerges. The average distance between Neptune and Uranus, two giants in our cosmic neighborhood, holds an unforeseen sway over the trajectories of a multinational energy corporation's stock. This unexpected linkage not only piques our scientific curiosity but also prompts a reevaluation of the conventional boundaries of financial analysis.
While we jest about celestial influence, our approach remains decidedly grounded in rigorous methodology. The data harnessed for this study is drawn from reputable sources, leveraging the precision of Astropy and the financial insights from LSEG Analytics (Refinitiv). Through meticulous analysis, we have unearthed a correlation coefficient of 0.8418564, accompanied by a p-value less than 0.01, defying the cosmic odds in the world of statistics.
As we embark on this unconventional voyage, it is our fervent hope that this study will not only ignite intellectual discourse but also spark a newfound appreciation for the cosmic ballet that weaves its enchanting influence on the financial markets. Let us then peer through the lens of statistics, as we unravel the cosmic bond between the distant orbiters and the frond of CVX, delving into a cosmic connect that defies traditional boundaries.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The examination of planetary dynamics and their potential impact on financial markets has sparked considerable interest and intrigue among scholars and enthusiasts alike. While the intersection of astrology and economics may elicit a fair share of skepticism, the empirical exploration of cosmic influences on stock price fluctuations has yielded fascinating insights. This literature review aims to synthesize existing studies and findings on the correlation between celestial phenomena and stock market dynamics, shedding light on the unexpected cosmic bond that may sway the financial cosmos.

Smith and Doe (2015) conduct a comprehensive analysis of astronomical events and their potential repercussions on stock prices in their seminal work "Celestial Forces: A Celestial Approach to Financial Markets." Drawing from historical astronomical data and stock market performance, the authors present compelling evidence of a correlation between lunar phases and stock price fluctuations, deftly aligning celestial events with market trends. However, as intriguing as their findings may be, the orbital paths of Neptune and Uranus were conspicuously absent from their celestial inquiries, leaving an uncharted cosmic terrain ripe for exploration.

On a parallel note, Jones (2017) delves into the intricate relationship between planetary alignments and financial markets in "Cosmic Constants: Unraveling the Mysteries of Economic Astrology." Through a meticulous examination of planetary configurations and stock market trends, the author illuminates the potential impact of cosmic phenomena on market dynamics. However, the celestial dance between Neptune and Uranus remains largely overlooked in Jones' cosmological meditations, leaving a tantalizing gap in the scholarly exploration of cosmic influences on financial realms.

Transitioning from astronomical and economic disquisitions, non-fiction works such as "The Planetary Playground: Exploring Cosmic Connections" by Astronomer A. Star provide a thought-provoking perspective on the interconnectedness of celestial bodies and their potential influence on worldly affairs. The insightful observations and rigorous astronomical analyses presented in this work expand the cosmic discourse beyond the realms of traditional finance, urging scholars to contemplate the broader implications of planetary interplay on earthly matters.

Venturing into the realm of fiction, "The Stars Align: An Astrological Adventure" by Novelist N. Tropy and "Uranus Chronicles: Heavenly Tales of Financial Fortunes" by Writer W. E. Alth reveal imaginative narratives that intertwine celestial movements with financial fables. While these literary creations undoubtedly captivate the imagination, their fictional renderings of cosmic influences on stock prices serve more as whimsical musings than empirical elucidations of the cosmic bond between Neptune and Uranus.

Amidst the legitimate scholarly and artistic pursuits, this comprehensive literature review also draws from rather unconventional sources, including a thorough exploration of CVS receipts and their purported insights into celestial-influenced shopping patterns. While the legitimacy of these unconventional sources may be questioned, the unparalleled insights gleaned from the mundane world of consumer purchases offer a whimsical twist to the cosmic dance of financial markets, transcending traditional avenues of scholarly inquiry and inviting playful contemplation of the planetary frond and its impact on stock prices.

In the pursuit of understanding the enigmatic connection between the distance between Neptune and Uranus and the fluctuations of Chevron's stock price (CVX), this literature review embarks on an unconventional voyage, traversing the diverse landscapes of scholarly inquiry and fanciful imagination in pursuit of cosmic correlations. The subsequent sections of this paper will further illuminate the statistical analyses and methodological approaches that underpin our exploration of this cosmic bond, enriching the discourse on the intersection of planetary dynamics and financial markets with empirical rigor and a playful spirit.




Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Caclculated using Astropy 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]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

[[INTRODUCTION]]
The celestial bodies have long captured the imagination of humanity, evoking wonder and curiosity about their influence on our daily lives. While astronomers and astrologers have speculated on the cosmic forces at play, the realm of finance has largely remained tethered to more earthly factors. However, this study delves into the uncharted territory that merges the distant worlds of planetary orbits and stock prices, uncovering a surprising correlation that challenges conventional notions of financial analysis.
As we set out on this cosmic journey, it is crucial to acknowledge the inherent skepticism surrounding the intersection of astrology and economics. Yet, our approach is firmly rooted in empirical evidence and statistical rigor, steering clear of the nebulous realms of celestial predictions. The aim of this research is not to cast horoscopes for market forecasts but to unravel the intriguing relationship between the orbital dynamics of Neptune and Uranus and the fluctuations in Chevron's stock price (CVX).
The connection may at first seem as distant as the planets themselves, but as we delve deeper into the data, a compelling narrative emerges. The average distance between Neptune and Uranus, two giants in our cosmic neighborhood, holds an unforeseen sway over the trajectories of a multinational energy corporation's stock. This unexpected linkage not only piques our scientific curiosity but also prompts a reevaluation of the conventional boundaries of financial analysis.
While we jest about celestial influence, our approach remains decidedly grounded in rigorous methodology. The data harnessed for this study is drawn from reputable sources, leveraging the precision of Astropy and the financial insights from LSEG Analytics (Refinitiv). Through meticulous analysis, we have unearthed a correlation coefficient of 0.8418564, accompanied by a p-value less than 0.01, defying the cosmic odds in the world of statistics.
As we embark on this unconventional voyage, it is our fervent hope that this study will not only ignite intellectual discourse but also spark a newfound appreciation for the cosmic ballet that weaves its enchanting influence on the financial markets. Let us then peer through the lens of statistics, as we unravel the cosmic bond between the distant orbiters and the frond of CVX, delving into a cosmic connect that defies traditional boundaries.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

The methodology adopted in this research endeavors to marry the realms of astrophysics and financial analysis in a manner that is both robust and whimsical. Leveraging the wealth of data available from Astropy and LSEG Analytics (Refinitiv), the study commences with the meticulous collection of information pertaining to the average distance between Neptune and Uranus, and the corresponding fluctuations in Chevron's stock price (CVX).

To capture the cosmic dance between the two distant neighbors, the orbital dynamics of Neptune and Uranus are calculated for the period from 2002 to 2023. This involves a convoluted process akin to unraveling a celestial Rubik's Cube, incorporating elements of gravitational dynamics and planetary mechanics. The data is then cross-referenced with the daily stock prices of Chevron, enveloping the study in a cosmic cloak as we conduct statistical analyses on these harmonious datasets.

In assessing the correlation between planetary distances and stock prices, the study employs a series of statistical measures to navigate the cosmic voyages and financial ebbs and flows. The correlation coefficient, serving as our cosmic compass, is calculated to divulge the degree of association between the celestial distances and the market trends. Furthermore, the p-value, akin to a cosmic gatekeeper, is utilized to unveil the significance of this unearthly connection in the world of finance.

The statistical analyses are tastefully augmented by comprehensive visualizations, presenting the celestial and financial data in a manner that is both enlightening and entertaining. Through these meticulous methods, the study embarks on a journey that not only defies the traditional boundaries of financial analysis but also enlivens the majestic dance between celestial bodies and stock prices.

Adhering to the principles of empirical rigor and methodological thoroughness, the research navigates the nebulous expanse of astro-financial correlations, steering clear of the whimsical pitfalls of pseudoscience and embracing the spirit of empirical inquiry. While the methodology may be unconventional, it is imbued with precision and rigor, ensuring that the cosmic revelations remain firmly anchored in the empirical realm.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Caclculated using Astropy and LSEG Analytics (Refinitiv) .

For the time period 2002 to 2023, you found a correlation 0.8418564, r-squared of 0.7087222, 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]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The celestial bodies have long captured the imagination of humanity, evoking wonder and curiosity about their influence on our daily lives. While astronomers and astrologers have speculated on the cosmic forces at play, the realm of finance has largely remained tethered to more earthly factors. However, this study delves into the uncharted territory that merges the distant worlds of planetary orbits and stock prices, uncovering a surprising correlation that challenges conventional notions of financial analysis.
As we set out on this cosmic journey, it is crucial to acknowledge the inherent skepticism surrounding the intersection of astrology and economics. Yet, our approach is firmly rooted in empirical evidence and statistical rigor, steering clear of the nebulous realms of celestial predictions. The aim of this research is not to cast horoscopes for market forecasts but to unravel the intriguing relationship between the orbital dynamics of Neptune and Uranus and the fluctuations in Chevron's stock price (CVX).
The connection may at first seem as distant as the planets themselves, but as we delve deeper into the data, a compelling narrative emerges. The average distance between Neptune and Uranus, two giants in our cosmic neighborhood, holds an unforeseen sway over the trajectories of a multinational energy corporation's stock. This unexpected linkage not only piques our scientific curiosity but also prompts a reevaluation of the conventional boundaries of financial analysis.
While we jest about celestial influence, our approach remains decidedly grounded in rigorous methodology. The data harnessed for this study is drawn from reputable sources, leveraging the precision of Astropy and the financial insights from LSEG Analytics (Refinitiv). Through meticulous analysis, we have unearthed a correlation coefficient of 0.8418564, accompanied by a p-value less than 0.01, defying the cosmic odds in the world of statistics.
As we embark on this unconventional voyage, it is our fervent hope that this study will not only ignite intellectual discourse but also spark a newfound appreciation for the cosmic ballet that weaves its enchanting influence on the financial markets. Let us then peer through the lens of statistics, as we unravel the cosmic bond between the distant orbiters and the frond of CVX, delving into a cosmic connect that defies traditional boundaries.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our study reveal a surprisingly strong correlation between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX). Utilizing data spanning from 2002 to 2023, we discovered a correlation coefficient of 0.8418564, which suggests a robust positive relationship between these celestial movements and the stock price of CVX. The coefficient of determination (r-squared) of 0.7087222 indicates that approximately 70.9% of the variability in CVX stock price can be explained by the average distance between Neptune and Uranus – a cosmic connection that defies conventional financial wisdom.

Further bolstering the significance of our findings is the p-value, which was found to be less than 0.01. This statistically significant result reinforces the strength of the relationship between the planetary dynamics and the stock price fluctuations of CVX. In other words, the likelihood of observing such a strong association between these variables by mere cosmic chance is extremely low, prompting us to look to the heavens in search of potential explanations for this observed relationship.

Figure 1 showcases a scatterplot that visually captures the remarkable correlation between the average distance between Neptune and Uranus and the stock price movements of CVX. This visual representation further accentuates the compelling nature of the relationship we have uncovered, lending tangible evidence to the cosmic dance that appears to influence the financial markets.

These findings not only enrich our understanding of the intricate interplay between celestial dynamics and financial phenomena but also add a whimsical touch to the typically staid world of stock price analysis. As we navigate the realms of statistical analysis, we mustn't overlook the cosmic serendipity that seems to be at play, underscoring the unpredictability and charm of the financial cosmos. These results prompt contemplation of the cosmic forces that may sway the stock market, inviting a delightful mix of astronomy and economics that challenges traditional boundaries and adds a dash of celestial intrigue to the field of financial research.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

[[LITERATURE REVIEW]]
The examination of planetary dynamics and their potential impact on financial markets has sparked considerable interest and intrigue among scholars and enthusiasts alike. While the intersection of astrology and economics may elicit a fair share of skepticism, the empirical exploration of cosmic influences on stock price fluctuations has yielded fascinating insights. This literature review aims to synthesize existing studies and findings on the correlation between celestial phenomena and stock market dynamics, shedding light on the unexpected cosmic bond that may sway the financial cosmos.
Smith and Doe (2015) conduct a comprehensive analysis of astronomical events and their potential repercussions on stock prices in their seminal work "Celestial Forces: A Celestial Approach to Financial Markets." Drawing from historical astronomical data and stock market performance, the authors present compelling evidence of a correlation between lunar phases and stock price fluctuations, deftly aligning celestial events with market trends. However, as intriguing as their findings may be, the orbital paths of Neptune and Uranus were conspicuously absent from their celestial inquiries, leaving an uncharted cosmic terrain ripe for exploration.
On a parallel note, Jones (2017) delves into the intricate relationship between planetary alignments and financial markets in "Cosmic Constants: Unraveling the Mysteries of Economic Astrology." Through a meticulous examination of planetary configurations and stock market trends, the author illuminates the potential impact of cosmic phenomena on market dynamics. However, the celestial dance between Neptune and Uranus remains largely overlooked in Jones' cosmological meditations, leaving a tantalizing gap in the scholarly exploration of cosmic influences on financial realms.
Transitioning from astronomical and economic disquisitions, non-fiction works such as "The Planetary Playground: Exploring Cosmic Connections" by Astronomer A. Star provide a thought-provoking perspective on the interconnectedness of celestial bodies and their potential influence on worldly affairs. The insightful observations and rigorous astronomical analyses presented in this work expand the cosmic discourse beyond the realms of traditional finance, urging scholars to contemplate the broader implications of planetary interplay on earthly matters.
Venturing into the realm of fiction, "The Stars Align: An Astrological Adventure" by Novelist N. Tropy and "Uranus Chronicles: Heavenly Tales of Financial Fortunes" by Writer W. E. Alth reveal imaginative narratives that intertwine celestial movements with financial fables. While these literary creations undoubtedly captivate the imagination, their fictional renderings of cosmic influences on stock prices serve more as whimsical musings than empirical elucidations of the cosmic bond between Neptune and Uranus.
Amidst the legitimate scholarly and artistic pursuits, this comprehensive literature review also draws from rather unconventional sources, including a thorough exploration of CVS receipts and their purported insights into celestial-influenced shopping patterns. While the legitimacy of these unconventional sources may be questioned, the unparalleled insights gleaned from the mundane world of consumer purchases offer a whimsical twist to the cosmic dance of financial markets, transcending traditional avenues of scholarly inquiry and inviting playful contemplation of the planetary frond and its impact on stock prices.
In the pursuit of understanding the enigmatic connection between the distance between Neptune and Uranus and the fluctuations of Chevron's stock price (CVX), this literature review embarks on an unconventional voyage, traversing the diverse landscapes of scholarly inquiry and fanciful imagination in pursuit of cosmic correlations. The subsequent sections of this paper will further illuminate the statistical analyses and methodological approaches that underpin our exploration of this cosmic bond, enriching the discourse on the intersection of planetary dynamics and financial markets with empirical rigor and a playful spirit.


[[RESULTS]]
The results of our study reveal a surprisingly strong correlation between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX). Utilizing data spanning from 2002 to 2023, we discovered a correlation coefficient of 0.8418564, which suggests a robust positive relationship between these celestial movements and the stock price of CVX. The coefficient of determination (r-squared) of 0.7087222 indicates that approximately 70.9% of the variability in CVX stock price can be explained by the average distance between Neptune and Uranus – a cosmic connection that defies conventional financial wisdom.
Further bolstering the significance of our findings is the p-value, which was found to be less than 0.01. This statistically significant result reinforces the strength of the relationship between the planetary dynamics and the stock price fluctuations of CVX. In other words, the likelihood of observing such a strong association between these variables by mere cosmic chance is extremely low, prompting us to look to the heavens in search of potential explanations for this observed relationship.
Figure 1 showcases a scatterplot that visually captures the remarkable correlation between the average distance between Neptune and Uranus and the stock price movements of CVX. This visual representation further accentuates the compelling nature of the relationship we have uncovered, lending tangible evidence to the cosmic dance that appears to influence the financial markets.
These findings not only enrich our understanding of the intricate interplay between celestial dynamics and financial phenomena but also add a whimsical touch to the typically staid world of stock price analysis. As we navigate the realms of statistical analysis, we mustn't overlook the cosmic serendipity that seems to be at play, underscoring the unpredictability and charm of the financial cosmos. These results prompt contemplation of the cosmic forces that may sway the stock market, inviting a delightful mix of astronomy and economics that challenges traditional boundaries and adds a dash of celestial intrigue to the field of financial research.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of our study have unveiled a cosmic bond that transcends the mundane world of stock price analysis, shedding light on the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX). These results not only corroborate prior research on celestial influences on financial markets but also bring the cosmic dance of planetary frond into the limelight of empirical scrutiny. The correlation coefficient of 0.8418564 reaffirms the robust positive relationship between these celestial movements and the stock price of CVX, aligning with previous studies that have explored the cosmic connections underpinning market dynamics.

Drawing parallels with the works of Smith and Doe (2015) and Jones (2017) evokes a sense of cosmic interconnectedness in the scholarly pursuit of unveiling celestial influences on financial realms. While their focus remained on lunar phases and planetary alignments, our research extends this cosmic discourse to encompass the often-overlooked orbital paths of Neptune and Uranus, revealing a newfound dimension in the cosmic tapestry of financial markets. Just as celestial events have been shown to correspond with market trends in previous studies, our findings accentuate the plausibility of a broader cosmic orchestration directing stock price fluctuations.

The statistical significance of our results, as evidenced by a p-value of less than 0.01, underscores the remarkable nature of the relationship between the average distance between Neptune and Uranus and the stock price movements of CVX. This aligns with the empirical rigor observed in prior studies that have delved into the cosmic influences on financial phenomena, reinforcing the notion that planetary dynamics indeed wield an influential force in the financial cosmos. In corroborating the existing body of research on astrological impacts on financial markets, our study contributes a celestial twist to the typically staid world of stock price analysis, reminding scholars to contemplate the cosmic forces at play amidst statistical scrutiny.

The scatterplot depicted in Figure 1 not only visually encapsulates the striking correlation uncovered in our study but also serves as a whimsical reminder of the cosmic serendipity evident in the financial cosmos. As scholars navigate the realms of astronomy and economics, it is imperative to recognize the interplay of empirical findings with the beguiling charm of celestial influences, adding a delightful mix of unconventional insight to the realm of financial research. Our results invite a playful contemplation of the cosmic ballet that appears to sway the stock market, fostering a lighthearted perspective on the often serious pursuit of unraveling financial mysteries.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 The distance between Neptune and Uranus and Chevron's stock price (CVX). Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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]]
Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond

[[ABSTRACT]]
This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

[[INTRDUCTION]]
The celestial bodies have long captured the imagination of humanity, evoking wonder and curiosity about their influence on our daily lives. While astronomers and astrologers have speculated on the cosmic forces at play, the realm of finance has largely remained tethered to more earthly factors. However, this study delves into the uncharted territory that merges the distant worlds of planetary orbits and stock prices, uncovering a surprising correlation that challenges conventional notions of financial analysis.
As we set out on this cosmic journey, it is crucial to acknowledge the inherent skepticism surrounding the intersection of astrology and economics. Yet, our approach is firmly rooted in empirical evidence and statistical rigor, steering clear of the nebulous realms of celestial predictions. The aim of this research is not to cast horoscopes for market forecasts but to unravel the intriguing relationship between the orbital dynamics of Neptune and Uranus and the fluctuations in Chevron's stock price (CVX).
The connection may at first seem as distant as the planets themselves, but as we delve deeper into the data, a compelling narrative emerges. The average distance between Neptune and Uranus, two giants in our cosmic neighborhood, holds an unforeseen sway over the trajectories of a multinational energy corporation's stock. This unexpected linkage not only piques our scientific curiosity but also prompts a reevaluation of the conventional boundaries of financial analysis.
While we jest about celestial influence, our approach remains decidedly grounded in rigorous methodology. The data harnessed for this study is drawn from reputable sources, leveraging the precision of Astropy and the financial insights from LSEG Analytics (Refinitiv). Through meticulous analysis, we have unearthed a correlation coefficient of 0.8418564, accompanied by a p-value less than 0.01, defying the cosmic odds in the world of statistics.
As we embark on this unconventional voyage, it is our fervent hope that this study will not only ignite intellectual discourse but also spark a newfound appreciation for the cosmic ballet that weaves its enchanting influence on the financial markets. Let us then peer through the lens of statistics, as we unravel the cosmic bond between the distant orbiters and the frond of CVX, delving into a cosmic connect that defies traditional boundaries.

[[RESULTS]]
The results of our study reveal a surprisingly strong correlation between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX). Utilizing data spanning from 2002 to 2023, we discovered a correlation coefficient of 0.8418564, which suggests a robust positive relationship between these celestial movements and the stock price of CVX. The coefficient of determination (r-squared) of 0.7087222 indicates that approximately 70.9% of the variability in CVX stock price can be explained by the average distance between Neptune and Uranus – a cosmic connection that defies conventional financial wisdom.
Further bolstering the significance of our findings is the p-value, which was found to be less than 0.01. This statistically significant result reinforces the strength of the relationship between the planetary dynamics and the stock price fluctuations of CVX. In other words, the likelihood of observing such a strong association between these variables by mere cosmic chance is extremely low, prompting us to look to the heavens in search of potential explanations for this observed relationship.
Figure 1 showcases a scatterplot that visually captures the remarkable correlation between the average distance between Neptune and Uranus and the stock price movements of CVX. This visual representation further accentuates the compelling nature of the relationship we have uncovered, lending tangible evidence to the cosmic dance that appears to influence the financial markets.
These findings not only enrich our understanding of the intricate interplay between celestial dynamics and financial phenomena but also add a whimsical touch to the typically staid world of stock price analysis. As we navigate the realms of statistical analysis, we mustn't overlook the cosmic serendipity that seems to be at play, underscoring the unpredictability and charm of the financial cosmos. These results prompt contemplation of the cosmic forces that may sway the stock market, inviting a delightful mix of astronomy and economics that challenges traditional boundaries and adds a dash of celestial intrigue to the field of financial research.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unveiled a celestial waltz that transcends the bounds of traditional financial analysis. The striking correlation coefficient of 0.8418564 and a p-value less than 0.01 affirm that the average distance between Neptune and Uranus exerts a remarkable influence on the fluctuation of Chevron's stock price (CVX). While we resist the temptation to gaze at stock market horoscopes, the cosmic cheekiness of this association cannot be denied.

Delving into the cosmic connect between these distant orbs and the frond of CVX has not only unearthed a statistically significant relationship but has also injected a dose of whimsy into the world of data analysis. Our findings, while certainly unexpected, serve as a reminder that the financial cosmos is not devoid of celestial charm. The scatterplot presented in Figure 1 visually captures the interplay between these seemingly disparate realms, encapsulating the playful dance of numbers and nebulae.

As tempting as it may be to ponder investment strategies based on planetary positions, we caution against any leap of cosmic faith. Instead, we invite fellow researchers to indulge in the delightful conundrum we have unearthed and savor the celestial mischief it bestows upon the staid world of stock market analysis.

With our findings in hand, we declare that no further research is needed in this area. The cosmic bond between Neptune and Uranus and its impact on CVX stock price is a lighthearted puzzle that need not be further scrutinized. Rather, let us bask in the whimsical revelation that the financial universe may harbor more surprises than meets the eye.


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 Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Galactic Astrophysics and Planetary Dynamics


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 Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond. Respond only with the name of a fictional organization.

ChatGPT:

The Interstellar Planetary Research Institute


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Neptune and Uranus: A Cosmic Bond and Its Impact on CVX Frond with an abstract of This research paper explores the peculiar relationship between the average distance between Neptune and Uranus and the fluctuation of Chevron's stock price (CVX) over the period spanning from 2002 to 2023. Leveraging data retrieved through Astropy and LSEG Analytics (Refinitiv), our study identifies a striking correlation coefficient of 0.8418564 and a statistically significant p-value less than 0.01, shedding light on the cosmic influence on financial markets. The findings of this research not only underscore a cosmic connection but also raise thought-provoking questions about the planetary interplay in the financial cosmos, adding a whimsical twist to the typically mundane world of stock price analysis.

ChatGPT:

Neptune, Uranus, Chevron stock, CVX stock price, correlation coefficient, financial markets, planetary influence, Astropy, LSEG Analytics, Refinitiv, cosmic connection, stock price analysis, planetary interplay

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



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Data details

The distance between Neptune and Uranus
Detailed data title: The average distance between Neptune and Uranus as measured on the first day of each month
Source: Caclculated using Astropy
Additional Info: I wrote a Python script using Astropy to calculate the distance between the named planets on the first day of each month for every year.

See what else correlates with The distance between Neptune and Uranus

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

See what else correlates with Chevron's stock price (CVX)

Correlation r = 0.8418564 (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 = 0.7087222 (Coefficient of determination)
This means 70.9% of the change in the one variable (i.e., Chevron's stock price (CVX)) is predictable based on the change in the other (i.e., The distance between Neptune and Uranus) over the 22 years from 2002 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 9.04E-7. 0.0000009037285945462310000000
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 0.84 in 9.04E-5% of random cases. Said differently, if you correlated 1,106,527 random variables You don't actually need 1 million 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.

[ 0.65, 0.93 ] 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
The distance between Neptune and Uranus (Planetary distance (AU))12.394712.811913.257913.727514.21814.72715.253215.792516.343816.90617.479118.059718.647619.242319.844320.450721.061621.676822.297322.920423.546524.1757
Chevron's stock price (CVX) (Stock price)44.8133.643.2452.4657.2572.7793.9674.2378.291.66108.74110.27124.46111.6389.53118.38125.71107.34120.8185.15117.42178.04




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.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




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([12.3947,12.8119,13.2579,13.7275,14.218,14.727,15.2532,15.7925,16.3438,16.906,17.4791,18.0597,18.6476,19.2423,19.8443,20.4507,21.0616,21.6768,22.2973,22.9204,23.5465,24.1757,])
array_2 = np.array([44.81,33.6,43.24,52.46,57.25,72.77,93.96,74.23,78.2,91.66,108.74,110.27,124.46,111.63,89.53,118.38,125.71,107.34,120.81,85.15,117.42,178.04,])
array_1_name = "The distance between Neptune and Uranus"
array_2_name = "Chevron's stock price (CVX)"

# 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."

When spoken, my last name is pronounced "vegan," like I don't eat meat.

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Correlation ID: 4066 · Black Variable ID: 1967 · Red Variable ID: 1561
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