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Spurious correlation #1,165 · 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 Mercury and the second variable is Highest Nielsen rating for a TV show each year.  The chart goes from 1975 to 2020, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The gravitational tug-of-war disrupted TV reception, leading to lower ratings as viewers struggled to tune in to their favorite shows. As the planets moved closer, it created celestial interference with the broadcast signals, ultimately affecting the TV ratings on Earth.

Model: dalle-3
Prompt: Prompt: Generate an image portraying a cozy living room with a small, old-fashioned TV set sitting on a wooden table. The room exudes a sense of nostalgia with warm, muted tones. In the background, a large window reveals a stunning view of space, with Neptune, a distant blue planet, slowly moving closer to Mercury, a small, swirling red and brown sphere. The TV flickers and loses signal, distorting the once-clear images on its screen. Viewers express frustration as they attempt to adjust the TV's reception. Ultimately, the viewers give up and switch off the TV, leaving it on the table with static crackling in the background. 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 situation described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here is a situation: The closer Neptune gets to Mercury, the more it disrupts the electromagnetic frequencies that carry TV signals, leading to a decrease in TV show ratings as the signals get scrambled and viewers switch off in frustration.. Given that situation, which of the following image descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand and the tone of the explanation. Please respond with only one of the following potential descriptions: An image that looks like it is a scene from 'Star Wars' Sci-fi fantacy Concept art Futuristic Cubism
ChatGPT: Sci-fi fantasy

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated and the explanation described. Do not reference graphs or charts; describe physical objects.
User prompt: Please describe a visual scene that depicts the following situation. Keep the description simple. The closer Neptune gets to Mercury, the more it disrupts the electromagnetic frequencies that carry TV signals, leading to a decrease in TV show ratings as the signals get scrambled and viewers switch off in frustration.
ChatGPT: Imagine a small, old-fashioned TV set sitting on a wooden table in a cozy living room. As Neptune, represented by a distant blue planet, slowly moves closer to Mercury, depicted by a small, swirling red and brown sphere, the TV begins to flicker and lose signal. The once-clear images on the screen become distorted, causing frustration for the viewers. Eventually, the viewers give up and switch off the TV, leaving it on the table with static crackling in the background.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ Sci-fi fantasy ] and depicting this scene: Imagine a small, old-fashioned TV set sitting on a wooden table in a cozy living room. As Neptune, represented by a distant blue planet, slowly moves closer to Mercury, depicted by a small, swirling red and brown sphere, the TV begins to flicker and lose signal. The once-clear images on the screen become distorted, causing frustration for the viewers. Eventually, the viewers give up and switch off the TV, leaving it on the table with static crackling in the background. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image portraying a cozy living room with a small, old-fashioned TV set sitting on a wooden table. The room exudes a sense of nostalgia with warm, muted tones. In the background, a large window reveals a stunning view of space, with Neptune, a distant blue planet, slowly moving closer to Mercury, a small, swirling red and brown sphere. The TV flickers and loses signal, distorting the once-clear images on its screen. Viewers express frustration as they attempt to adjust the TV's reception. Ultimately, the viewers give up and switch off the TV, leaving it on the table with static crackling in the background.

*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 humerus responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how a decrease in The distance between Neptune and Mercury caused Highest Nielsen rating for a TV show each year to decrease.

AI academic paper

(Because p < 0.01)
Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows

The Interstellar Journal of Astronomical Entertainment Analysis

Jan 2024

Reminder: This paper is AI-generated. Not real!
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from Caclculated using Astropy and Wikipedia to assess this nagging question. You found a correlation coefficient of 0.7857440 and p < 0.01 for 1975 to 2020.

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]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.


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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of 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]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Television viewership is a phenomenon that has long captivated the minds of not only couch potatoes but also academic researchers seeking to unravel its mysterious patterns. While the factors influencing TV ratings have been the subject of innumerable studies, one correlation that has seemingly eluded scrutiny is the curious relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. The very thought of such a cosmic influence on our terrestrial entertainment might seem as improbable as a Martian sitcom, and yet, the data we have amassed suggests otherwise.

The link between astronomical events and human behavior is not new, with astrologers often attributing planetary positions to various happenings here on Earth, but our study aims to bring a more scientific analytical approach to this cosmic coincidence. Through meticulous data collection and robust statistical analysis, we seek to demonstrate that the celestial dance between Neptune and Mercury might have a more profound impact on our TV viewing habits than previously assumed.

As we embark on our investigation, it is crucial to acknowledge the inherent skepticism that this connection may elicit. However, by rigorously examining decades' worth of data, we hope to provide evidence that may compel even the staunchest skeptics to consider the possibility of celestial bodies exerting an unseen influence on our TV screens. So, let us journey beyond the final frontier of statistical analysis and dive into the cosmic expanse of Neptune's orbit, where we may just find the secret to blockbuster TV ratings.


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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of 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 cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Television viewership is a phenomenon that has long captivated the minds of not only couch potatoes but also academic researchers seeking to unravel its mysterious patterns. While the factors influencing TV ratings have been the subject of innumerable studies, one correlation that has seemingly eluded scrutiny is the curious relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. The very thought of such a cosmic influence on our terrestrial entertainment might seem as improbable as a Martian sitcom, and yet, the data we have amassed suggests otherwise.
The link between astronomical events and human behavior is not new, with astrologers often attributing planetary positions to various happenings here on Earth, but our study aims to bring a more scientific analytical approach to this cosmic coincidence. Through meticulous data collection and robust statistical analysis, we seek to demonstrate that the celestial dance between Neptune and Mercury might have a more profound impact on our TV viewing habits than previously assumed.
As we embark on our investigation, it is crucial to acknowledge the inherent skepticism that this connection may elicit. However, by rigorously examining decades' worth of data, we hope to provide evidence that may compel even the staunchest skeptics to consider the possibility of celestial bodies exerting an unseen influence on our TV screens. So, let us journey beyond the final frontier of statistical analysis and dive into the cosmic expanse of Neptune's orbit, where we may just find the secret to blockbuster TV ratings.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The seemingly inconceivable connection between the astronomical positions of Neptune and Mercury in relation to the highest Nielsen rating for a TV show each year has spurred a range of investigations into this cosmic conundrum. Smith and Doe (2008) initially delved into the potential celestial influence on television viewership, positing a speculative link between the two entities. Despite initial skepticism, their work laid the groundwork for further explorations into this uncharted territory.

Building upon this foundation, Jones et al. (2014) conducted a comprehensive meta-analysis of existing studies, seeking to elucidate the mechanisms underlying the Neptune-Mercury-TV ratings nexus. Their rigorous examination of historical data elicited a wave of interest in the field, prompting researchers to peer through telescopes and TV screens alike in search of answers.

In considering potential factors influencing TV ratings, realist perspectives on the impact of celestial bodies have been juxtaposed with the more speculative notions of astrological influence. Scholarly works such as "Astrology and Broadcast Ratings" by Starry (1999) and "Tales from the Zodiactron" by Cosmica (2012) have woven together celestial quandaries and terrestrial fascinations in an attempt to reconcile the unfathomable interplay between cosmic events and television trends.

Moreover, the proliferation of pseudo-scientific conjectures on social media platforms has further fueled this cosmic discourse. Recent tweets and Reddit threads have infused lighthearted banter with earnest curiosity, as netizens debate the possibility of a "Neptunian TV Effect" and share memes of interstellar TV antennas reaching out to Neptune.

As the academic community grapples with this astronomical enigma, it is evident that the intersection of planetary orbits and pop culture holds far more intrigue than meets the eye. The unexpected parallels between celestial mechanics and TV viewership continue to captivate researchers and stargazers alike, eliciting a collective sense of wonderment and amusement as we navigate the celestial landscape of entertainment.


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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of 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 Caclculated using Astropy and Wikipedia . You used data from 1975 to 2020

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]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

[[INTRODUCTION]]
Television viewership is a phenomenon that has long captivated the minds of not only couch potatoes but also academic researchers seeking to unravel its mysterious patterns. While the factors influencing TV ratings have been the subject of innumerable studies, one correlation that has seemingly eluded scrutiny is the curious relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. The very thought of such a cosmic influence on our terrestrial entertainment might seem as improbable as a Martian sitcom, and yet, the data we have amassed suggests otherwise.
The link between astronomical events and human behavior is not new, with astrologers often attributing planetary positions to various happenings here on Earth, but our study aims to bring a more scientific analytical approach to this cosmic coincidence. Through meticulous data collection and robust statistical analysis, we seek to demonstrate that the celestial dance between Neptune and Mercury might have a more profound impact on our TV viewing habits than previously assumed.
As we embark on our investigation, it is crucial to acknowledge the inherent skepticism that this connection may elicit. However, by rigorously examining decades' worth of data, we hope to provide evidence that may compel even the staunchest skeptics to consider the possibility of celestial bodies exerting an unseen influence on our TV screens. So, let us journey beyond the final frontier of statistical analysis and dive into the cosmic expanse of Neptune's orbit, where we may just find the secret to blockbuster TV ratings.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the celestial correlation with TV ratings, we began our methodological odyssey by scouring the depths of cyberspace for data pertaining to the distances between Neptune and Mercury. Our quest for reliable astronomical information led us to tap into the vast resources of Astropy, where we extracted the precise measurements of these planetary distances from 1975 to 2020.

Next, we cast our investigative net wider and dived into the ocean of knowledge that is Wikipedia, unraveling the highest Nielsen rating for a TV show each year over the same time span. This eclectic mix of data provided us with a cosmic buffet of information to feed into our analytical apparatus.

With our celestial and terrestrial data gathered, we embarked on the daunting task of cleaning and organizing our dataset. This involved crafting algorithms that could discern between genuine celestial data and any cosmic confounders that might have snuck into our dataset unnoticed. Our efforts in data pre-processing ensured that our final dataset was as clean and polished as a freshly minted telescope lens.

Once our data was preened to perfection, we summoned the stellar power of statistical software to conduct various analyses, unleashing the arsenal of correlation coefficients, regression models, and hypothesis tests. Through these rigorous statistical exercises, we sought to unveil any hidden gravitational forces at play between the celestial realms and the terrestrial realm of television.

To measure the association between the distances from Neptune to Mercury and the highest Nielsen rating for a TV show each year, we employed the Pearson correlation coefficient. This analysis allowed us to quantify the strength and direction of any potential relationship between these two celestial bodies and TV ratings. Additionally, we performed regression analyses to explore potential predictive models, seeking to predict TV ratings based on the cosmic dance of planets in our solar system.

Finally, we ensured the robustness of our findings by subjecting our analyses to a battery of sensitivity tests, akin to stress-testing a spacecraft before its interstellar voyage. These tests were crucial in confirming the reliability and stability of our results, ensuring that our cosmic conclusions were not mere fleeting meteor showers of statistical noise.

In conclusion, our methodological journey traversed the vast domains of both celestial and terrestrial data, applying sophisticated statistical methodologies to extract and interpret the potential link between the positions of planets in our solar system and the success of TV shows. Our results reflect the culmination of this cosmic quest, shedding light on a celestial connection that may have been previously overlooked in the terrestrial realm of entertainment ratings.


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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of 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 Caclculated using Astropy and Wikipedia .

For the time period 1975 to 2020, you found a correlation 0.7857440, r-squared of 0.6173936, 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]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Television viewership is a phenomenon that has long captivated the minds of not only couch potatoes but also academic researchers seeking to unravel its mysterious patterns. While the factors influencing TV ratings have been the subject of innumerable studies, one correlation that has seemingly eluded scrutiny is the curious relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. The very thought of such a cosmic influence on our terrestrial entertainment might seem as improbable as a Martian sitcom, and yet, the data we have amassed suggests otherwise.
The link between astronomical events and human behavior is not new, with astrologers often attributing planetary positions to various happenings here on Earth, but our study aims to bring a more scientific analytical approach to this cosmic coincidence. Through meticulous data collection and robust statistical analysis, we seek to demonstrate that the celestial dance between Neptune and Mercury might have a more profound impact on our TV viewing habits than previously assumed.
As we embark on our investigation, it is crucial to acknowledge the inherent skepticism that this connection may elicit. However, by rigorously examining decades' worth of data, we hope to provide evidence that may compel even the staunchest skeptics to consider the possibility of celestial bodies exerting an unseen influence on our TV screens. So, let us journey beyond the final frontier of statistical analysis and dive into the cosmic expanse of Neptune's orbit, where we may just find the secret to blockbuster TV ratings.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Based on our extensive data analysis from the years 1975 to 2020, we made a stunning discovery that may truly push the boundaries of traditional statistical inquiry. Our investigation into the correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year yielded a correlation coefficient of 0.7857440, an r-squared of 0.6173936, and a p-value of less than 0.01. These results provide compelling evidence of a robust and statistically significant relationship between these celestial distances and TV ratings.

Our findings have colossal implications for understanding the unseen forces that may influence human behavior and preferences. The correlation coefficient of 0.7857440 indicates a strong positive correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. While we anticipated that the celestial bodies might exert some influence, we were genuinely flabbergasted by the strength of the association revealed by our analysis.

One does not need a telescope to see the magnitude of this relationship, as reflected in the scatterplot (Fig. 1) depicting the unmistakable connection between these celestial distances and TV ratings. The plot itself is a sight to behold, with each point seemingly aligning itself with the celestial dance of our planetary neighbors. It is as if the stars themselves are aligning to boost TV ratings!

Moreover, the r-squared value of 0.6173936 signifies that over 61% of the variation in TV ratings can be explained by the distance separating Neptune and Mercury. Such a high value speaks volumes about the strength of this celestial phenomenon on our television screens, demonstrating that when it comes to TV ratings, the sky is definitely not the limit.

The p-value of less than 0.01 further underscores the significance of our results, indicating that the relationship we uncovered is highly unlikely to be a mere cosmic coincidence. The evidence overwhelmingly suggests that the celestial whims of Neptune and Mercury have a palpable impact on the television landscape. Perhaps "Neptune's Neptune" or "Mercurial Melodrama" are the next big TV show hits waiting to be born under this celestial influence!

In conclusion, our research presents a groundbreaking revelation: there exists a substantial and meaningful correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year, defying conventional wisdom and highlighting the cosmic nature of television viewership. These findings open up a cosmic frontier of inquiry, sparking the need for further investigation into the celestial forces that shape our cultural and entertainment preferences.


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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of 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]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

[[LITERATURE REVIEW]]
The seemingly inconceivable connection between the astronomical positions of Neptune and Mercury in relation to the highest Nielsen rating for a TV show each year has spurred a range of investigations into this cosmic conundrum. Smith and Doe (2008) initially delved into the potential celestial influence on television viewership, positing a speculative link between the two entities. Despite initial skepticism, their work laid the groundwork for further explorations into this uncharted territory.
Building upon this foundation, Jones et al. (2014) conducted a comprehensive meta-analysis of existing studies, seeking to elucidate the mechanisms underlying the Neptune-Mercury-TV ratings nexus. Their rigorous examination of historical data elicited a wave of interest in the field, prompting researchers to peer through telescopes and TV screens alike in search of answers.
In considering potential factors influencing TV ratings, realist perspectives on the impact of celestial bodies have been juxtaposed with the more speculative notions of astrological influence. Scholarly works such as "Astrology and Broadcast Ratings" by Starry (1999) and "Tales from the Zodiactron" by Cosmica (2012) have woven together celestial quandaries and terrestrial fascinations in an attempt to reconcile the unfathomable interplay between cosmic events and television trends.
Moreover, the proliferation of pseudo-scientific conjectures on social media platforms has further fueled this cosmic discourse. Recent tweets and Reddit threads have infused lighthearted banter with earnest curiosity, as netizens debate the possibility of a "Neptunian TV Effect" and share memes of interstellar TV antennas reaching out to Neptune.
As the academic community grapples with this astronomical enigma, it is evident that the intersection of planetary orbits and pop culture holds far more intrigue than meets the eye. The unexpected parallels between celestial mechanics and TV viewership continue to captivate researchers and stargazers alike, eliciting a collective sense of wonderment and amusement as we navigate the celestial landscape of entertainment.

[[RESULTS]]
Based on our extensive data analysis from the years 1975 to 2020, we made a stunning discovery that may truly push the boundaries of traditional statistical inquiry. Our investigation into the correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year yielded a correlation coefficient of 0.7857440, an r-squared of 0.6173936, and a p-value of less than 0.01. These results provide compelling evidence of a robust and statistically significant relationship between these celestial distances and TV ratings.
Our findings have colossal implications for understanding the unseen forces that may influence human behavior and preferences. The correlation coefficient of 0.7857440 indicates a strong positive correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. While we anticipated that the celestial bodies might exert some influence, we were genuinely flabbergasted by the strength of the association revealed by our analysis.
One does not need a telescope to see the magnitude of this relationship, as reflected in the scatterplot (Fig. 1) depicting the unmistakable connection between these celestial distances and TV ratings. The plot itself is a sight to behold, with each point seemingly aligning itself with the celestial dance of our planetary neighbors. It is as if the stars themselves are aligning to boost TV ratings!
Moreover, the r-squared value of 0.6173936 signifies that over 61% of the variation in TV ratings can be explained by the distance separating Neptune and Mercury. Such a high value speaks volumes about the strength of this celestial phenomenon on our television screens, demonstrating that when it comes to TV ratings, the sky is definitely not the limit.
The p-value of less than 0.01 further underscores the significance of our results, indicating that the relationship we uncovered is highly unlikely to be a mere cosmic coincidence. The evidence overwhelmingly suggests that the celestial whims of Neptune and Mercury have a palpable impact on the television landscape. Perhaps "Neptune's Neptune" or "Mercurial Melodrama" are the next big TV show hits waiting to be born under this celestial influence!
In conclusion, our research presents a groundbreaking revelation: there exists a substantial and meaningful correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year, defying conventional wisdom and highlighting the cosmic nature of television viewership. These findings open up a cosmic frontier of inquiry, sparking the need for further investigation into the celestial forces that shape our cultural and entertainment preferences.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study sought to unravel the celestial mystery underpinning the curious relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. The rather astronomical correlation coefficient of 0.7857440, along with a p-value of less than 0.01, established a compelling link that transcends the mundane vagaries of human taste and programming schedules.

We are drawn to the groundbreaking work of Smith and Doe (2008), who initially raised the eyebrow of our academic telescope towards this celestial conundrum. While their theoretical propositions may have seemed like a shot in the dark, our findings unequivocally corroborate their pioneering speculations. It appears that the stars, quite literally, have aligned with their cosmic whims to influence TV viewership.

Furthermore, the meta-analysis by Jones et al. (2014) provided a panoramic view of previous research, guiding our investigation through the cosmic labyrinth of Neptune and Mercury's dance. Little did they know that their scholarly journey would eventually converge with our own, validating the far-reaching impact of celestial mechanics on the entertainment landscape.

In reflecting on the whimsical yet thought-provoking contributions of Starry (1999) and Cosmica (2012), we cannot help but acknowledge the prescient insights gleaned from the intersection of astrology and broadcast ratings. Their unorthodox perspectives, though initially met with skepticism, have bubbled to the surface in the wake of our findings, inviting a reconsideration of the celestial forces at play in the domain of television ratings.

Indeed, the social media banter and memes surrounding the "Neptunian TV Effect" have sparked a wave of interest and discussion, serving as a reminder that even the most whimsical of ideas can harbor kernels of truth. The cosmic discourse, whether in scholarly journals or internet forums, has proven to be a fertile ground for intellectual inquiry, replete with unexpected connections and celestial serendipity.

Our results provide empirical grounding for these speculative musings, as the unmistakable correlation unveiled by our investigation defies conventional wisdom and catapults us into uncharted cosmic territory. As we stand at the precipice of this celestial revelation, we are beckoned to peer ever deeper into the cosmic ether, for the stars, it seems, have a few tricks up their sleeves when it comes to shaping our television preferences.


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 Mercury and Highest Nielsen rating for a TV show each year. Make lots of 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]]
"Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows"

[[ABSTRACT]]
In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

[[INTRDUCTION]]
Television viewership is a phenomenon that has long captivated the minds of not only couch potatoes but also academic researchers seeking to unravel its mysterious patterns. While the factors influencing TV ratings have been the subject of innumerable studies, one correlation that has seemingly eluded scrutiny is the curious relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. The very thought of such a cosmic influence on our terrestrial entertainment might seem as improbable as a Martian sitcom, and yet, the data we have amassed suggests otherwise.
The link between astronomical events and human behavior is not new, with astrologers often attributing planetary positions to various happenings here on Earth, but our study aims to bring a more scientific analytical approach to this cosmic coincidence. Through meticulous data collection and robust statistical analysis, we seek to demonstrate that the celestial dance between Neptune and Mercury might have a more profound impact on our TV viewing habits than previously assumed.
As we embark on our investigation, it is crucial to acknowledge the inherent skepticism that this connection may elicit. However, by rigorously examining decades' worth of data, we hope to provide evidence that may compel even the staunchest skeptics to consider the possibility of celestial bodies exerting an unseen influence on our TV screens. So, let us journey beyond the final frontier of statistical analysis and dive into the cosmic expanse of Neptune's orbit, where we may just find the secret to blockbuster TV ratings.

[[RESULTS]]
Based on our extensive data analysis from the years 1975 to 2020, we made a stunning discovery that may truly push the boundaries of traditional statistical inquiry. Our investigation into the correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year yielded a correlation coefficient of 0.7857440, an r-squared of 0.6173936, and a p-value of less than 0.01. These results provide compelling evidence of a robust and statistically significant relationship between these celestial distances and TV ratings.
Our findings have colossal implications for understanding the unseen forces that may influence human behavior and preferences. The correlation coefficient of 0.7857440 indicates a strong positive correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. While we anticipated that the celestial bodies might exert some influence, we were genuinely flabbergasted by the strength of the association revealed by our analysis.
One does not need a telescope to see the magnitude of this relationship, as reflected in the scatterplot (Fig. 1) depicting the unmistakable connection between these celestial distances and TV ratings. The plot itself is a sight to behold, with each point seemingly aligning itself with the celestial dance of our planetary neighbors. It is as if the stars themselves are aligning to boost TV ratings!
Moreover, the r-squared value of 0.6173936 signifies that over 61% of the variation in TV ratings can be explained by the distance separating Neptune and Mercury. Such a high value speaks volumes about the strength of this celestial phenomenon on our television screens, demonstrating that when it comes to TV ratings, the sky is definitely not the limit.
The p-value of less than 0.01 further underscores the significance of our results, indicating that the relationship we uncovered is highly unlikely to be a mere cosmic coincidence. The evidence overwhelmingly suggests that the celestial whims of Neptune and Mercury have a palpable impact on the television landscape. Perhaps "Neptune's Neptune" or "Mercurial Melodrama" are the next big TV show hits waiting to be born under this celestial influence!
In conclusion, our research presents a groundbreaking revelation: there exists a substantial and meaningful correlation between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year, defying conventional wisdom and highlighting the cosmic nature of television viewership. These findings open up a cosmic frontier of inquiry, sparking the need for further investigation into the celestial forces that shape our cultural and entertainment preferences.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In light of our revelatory findings, it is clear that the celestial bodies of Neptune and Mercury are not content to merely twirl around the sun; they also seem to be orchestrating a cosmic dance that waltzes right into our living rooms and captivates our TV screens. With a correlation coefficient of 0.7857440 that is stronger than the gravitational pull between the planets themselves, it's safe to say that the celestial tapestry weaves its threads into the very fabric of our television entertainment.

Our discovery challenges the notion that TV ratings are solely the result of terrestrial happenings, asserting instead that the cosmos may have a say in what captivates our collective imagination. Who would have thought that the tug-of-war between Neptune's ethereal allure and Mercury's swift agility could shape our TV preferences more than the latest reality show craze? It seems that the influence of these planetary powerhouses extends far beyond our wildest astrological speculations.

The visual representation of this cosmic influence in our scatterplot is not just a sight for sore eyes; it's a testament to the cosmic theater playing out in the most unexpected of places. One cannot help but wonder if the gravitational pull of these distant planets is subtly guiding viewers to their remote controls, nudging them to tune in to the shows that align with the celestial rhythms. After all, it seems that in the celestial sphere of entertainment, there are, quite literally, stars aligning to determine the next small-screen sensation.

While our research marks a giant leap for cosmic inquiry, it also serves as a gentle nudge to our scientific counterparts: Perhaps there are more cosmic connections shaping our cultural phenomena than we ever dared to imagine. However, in the interest of keeping our feet firmly planted on earthly soil, we assert that no further research in this direction is needed... unless, of course, we wish to uncover the astral trajectories guiding binge-watching patterns or the lunar phases influencing streaming habits. The celestial couch potato has never been more compelling.


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 Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows. Respond only with the name of a fictional academic journal.

ChatGPT:

The Interstellar Journal of Astronomical Entertainment Analysis


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 Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows. Respond only with the name of a fictional organization.

ChatGPT:

Stellar Research Consortium


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 Out of This World Ratings: The Celestial Connection Between Neptune's Distance and Top TV Shows with an abstract of In this paper, we aim to explore the seemingly cosmic relationship between the distance separating Neptune and Mercury and the highest Nielsen rating for a TV show each year. Employing data from Astropy and Wikipedia, we conducted a rigorous analysis covering the years 1975 to 2020. Our findings revealed a surprisingly robust correlation coefficient of 0.7857440, with a statistically significant p-value of less than 0.01, indicating a strong association. Our research sheds light on an unexpected link between astronomical phenomena and television viewership, offering a celestial take on the ever-changing landscape of broadcast entertainment.

ChatGPT:

Neptune, Mercury, distance, top TV shows, Nielsen rating, Astropy, Wikipedia, analysis, correlation coefficient, statistically significant, association, astronomical phenomena, television viewership, broadcast entertainmentlandscape, celestial relationship, celestial connection, TV show ratings, Neptune's orbit, cosmic relationship, television viewership trends

*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 Mercury
Detailed data title: The average distance between Neptune and Mercury 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 Mercury

Highest Nielsen rating for a TV show each year
Detailed data title: Highest average household Nielsen rating for TV shows
Source: Wikipedia
See what else correlates with Highest Nielsen rating for a TV show each year

Correlation r = 0.7857440 (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 = 0.6173936 (Coefficient of determination)
This means 61.7% of the change in the one variable (i.e., Highest Nielsen rating for a TV show each year) is predictable based on the change in the other (i.e., The distance between Neptune and Mercury) over the 46 years from 1975 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 9.9E-11. 0.0000000000993895473301574700
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 0.79 in 9.9E-9% of random cases. Said differently, if you correlated 10,061,420,208 random variables You don't actually need 10 billion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 45 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 45 because we have two variables measured over a period of 46 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.

[ 0.64, 0.88 ] 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.
1975197619771978197919801981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005200620072008200920102011201220132014201520162017201820192020
The distance between Neptune and Mercury (Planetary distance (AU))30.171430.171630.186230.181730.173430.150230.152230.139830.150930.161430.155130.135630.115530.104530.090830.105330.106630.107230.083630.075930.062530.056330.069430.067430.059230.031530.023630.000530.003630.014130.017930.007329.992629.982629.965529.976429.979329.985729.963129.953829.936529.923829.938329.946829.953129.9382
Highest Nielsen rating for a TV show each year (Nielson Rating)30.230.131.531.630.528.434.528.425.525.72533.734.927.825.623.121.321.921.920.920.62221.221.717.818.617.41516.314.716.517.617.316.115.113.723.9512.912.821.4220.6921.319.6317.5818.819.96




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([30.1714,30.1716,30.1862,30.1817,30.1734,30.1502,30.1522,30.1398,30.1509,30.1614,30.1551,30.1356,30.1155,30.1045,30.0908,30.1053,30.1066,30.1072,30.0836,30.0759,30.0625,30.0563,30.0694,30.0674,30.0592,30.0315,30.0236,30.0005,30.0036,30.0141,30.0179,30.0073,29.9926,29.9826,29.9655,29.9764,29.9793,29.9857,29.9631,29.9538,29.9365,29.9238,29.9383,29.9468,29.9531,29.9382,])
array_2 = np.array([30.2,30.1,31.5,31.6,30.5,28.4,34.5,28.4,25.5,25.7,25,33.7,34.9,27.8,25.6,23.1,21.3,21.9,21.9,20.9,20.6,22,21.2,21.7,17.8,18.6,17.4,15,16.3,14.7,16.5,17.6,17.3,16.1,15.1,13.7,23.95,12.9,12.8,21.42,20.69,21.3,19.63,17.58,18.8,19.96,])
array_1_name = "The distance between Neptune and Mercury"
array_2_name = "Highest Nielsen rating for a TV show each year"

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

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



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You 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.

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Correlation ID: 1165 · Black Variable ID: 1954 · Red Variable ID: 88
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