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Spurious correlation #3,004 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Popularity of the first name Theodore and the second variable is Solar power generated in Peru.  The chart goes from 2000 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

Through a complex series of interconnected energy fields, the name Theodore has been found to resonate with the sun's rays on a frequency that is particularly conducive to solar power production in Peru. It's as if the mere utterance of the name creates a surge of celestial enthusiasm, leading to a Theodore-induced spike in sunny productivity. This phenomenon, tentatively named 'Theodorelectricity,' is still being studied by both linguists and solar engineers, but if the trend continues, we may need to rethink our entire approach to renewable energy as it relates to nomenclature.

Model: dalle-3
Prompt: Generate a 1960s comic-book-style illustration with dotted halftone patterns, depicting a sunlit town in Peru. Rows of solar panels bask in the warm glow, generating a significant amount of solar power. Among them, a group of friendly and determined Theodores can be seen discussing and working on the latest innovations in solar technology. Moving around the town, numerous parents are naming their newborns Theodore, inspired by the growing popularity of the name. As the Theodores grow up, they are dedicated to harnessing the power of the sun, contributing to the increasing prominence and impact of solar power generation in Peru. 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: Popularity of the first name Theodore and Solar power generated in Peru. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: a meme A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Cute 2D animation inspired by bauhaus A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s
ChatGPT: A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s

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 Popularity of the first name Theodore and Solar power generated in Peru, in the following situation: Because the first name Theodore gained popularity, more parents named their children Theodore. These Theodores grew up and collectively decided to pursue careers in solar power technology. As a result, there was a surge in solar power generation in Peru, thanks to the determined and eco-friendly Theodores.. Keep the description simple.
ChatGPT: In a sunlit town in Peru, rows of solar panels bask in the warm glow, generating a significant amount of solar power. Among the panels, a group of friendly and determined Theodores can be seen, discussing and working on the latest innovations in solar technology. Moving around the town, one can see numerous parents naming their newborns Theodore, inspired by the growing popularity of the name. As the Theodores grow up, they are dedicated to harnessing the power of the sun, contributing to the increasing prominence and impact of solar power generation in Peru.

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: [ A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s ] and depicting this scene: In a sunlit town in Peru, rows of solar panels bask in the warm glow, generating a significant amount of solar power. Among the panels, a group of friendly and determined Theodores can be seen, discussing and working on the latest innovations in solar technology. Moving around the town, one can see numerous parents naming their newborns Theodore, inspired by the growing popularity of the name. As the Theodores grow up, they are dedicated to harnessing the power of the sun, contributing to the increasing prominence and impact of solar power generation in Peru. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate a 1960s comic-book-style illustration with dotted halftone patterns, depicting a sunlit town in Peru. Rows of solar panels bask in the warm glow, generating a significant amount of solar power. Among them, a group of friendly and determined Theodores can be seen discussing and working on the latest innovations in solar technology. Moving around the town, numerous parents are naming their newborns Theodore, inspired by the growing popularity of the name. As the Theodores grow up, they are dedicated to harnessing the power of the sun, contributing to the increasing prominence and impact of solar power generation in Peru.

*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 Popularity of the first name Theodore caused Solar power generated in Peru to increase.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

The Journal of Solar Sociology

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 Popularity of the first name Theodore and Solar power generated in Peru. Make lots of jokes, goofy observations, and puns.

Make the title an alliteration.

Your research team used data from US Social Security Administration and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.9813059 and p < 0.01 for 2000 to 2021.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!


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 Popularity of the first name Theodore and Solar power generated in Peru. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

"The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production" explores a whimsical and unexpected connection between the rise in popularity of the name "Theodore" and the solar power generated in Peru. It may sound like the premise of a quirky comedy film, but our research has uncovered a statistically significant relationship between these seemingly unrelated variables. As we embark on this enlightening journey, we invite our readers to join us in unraveling the mysteries of nomenclature and solar energy, all while embracing a spirit of lighthearted inquiry.

While it may seem far-fetched at first glance, the correlation between a person's given name and a country's solar power output is not as absurd as it may appear. After all, statistics has a way of revealing surprising relationships that even the most astute researchers may overlook. As we delve into this delightful data odyssey, let us not forget to approach our findings with a healthy dose of curiosity and humor. After all, what better way to shed light on a topic than to infuse it with a sense of playfulness and wonder?

As we embark on this scholarly escapade, it is crucial to acknowledge the depth of our investigation. We have captured data from the US Social Security Administration to track the fluctuating fortunes of the name "Theodore" over the past two decades. Meanwhile, we have also delved into the archives of the Energy Information Administration to quantify the solar power generated in Peru during the same period. With our statistical toolkit in hand, we have applied rigorous analytical methods to tease out any potential patterns between these variables, all in the name of academic exploration and, of course, a good laugh.


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 Popularity of the first name Theodore and Solar power generated in Peru. 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 name a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
"The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production" explores a whimsical and unexpected connection between the rise in popularity of the name "Theodore" and the solar power generated in Peru. It may sound like the premise of a quirky comedy film, but our research has uncovered a statistically significant relationship between these seemingly unrelated variables. As we embark on this enlightening journey, we invite our readers to join us in unraveling the mysteries of nomenclature and solar energy, all while embracing a spirit of lighthearted inquiry.
While it may seem far-fetched at first glance, the correlation between a person's given name and a country's solar power output is not as absurd as it may appear. After all, statistics has a way of revealing surprising relationships that even the most astute researchers may overlook. As we delve into this delightful data odyssey, let us not forget to approach our findings with a healthy dose of curiosity and humor. After all, what better way to shed light on a topic than to infuse it with a sense of playfulness and wonder?
As we embark on this scholarly escapade, it is crucial to acknowledge the depth of our investigation. We have captured data from the US Social Security Administration to track the fluctuating fortunes of the name "Theodore" over the past two decades. Meanwhile, we have also delved into the archives of the Energy Information Administration to quantify the solar power generated in Peru during the same period. With our statistical toolkit in hand, we have applied rigorous analytical methods to tease out any potential patterns between these variables, all in the name of academic exploration and, of course, a good laugh.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Theodore's Trend: Shedding Light on the Solar Side

Theodore's Tale: A Serious Start
In “Influence of First Names on Sociocultural Phenomena,” Smith et al. explore the potential impact of people's names on various societal trends, from career choices to educational attainment, and even political preferences. The authors find compelling evidence of the influence of nomenclature on individual and collective behavior, but the idea that a name could be linked to a country's solar power output remains uncharted territory. Similarly, in "Name Dynamics and Social Trends," Doe and Jones delve into the intricate dynamics of first names and the societal forces shaping their popularity. Little did they know, their research could have paved the way for our unexpected investigation into the Theodore trend and its ties to solar power in Peru.

Illuminating Reads: Fictional Fables with Potential Relevance
Moving beyond the world of non-fiction, it is worth considering the potential impact of fictional works on this peculiar connection. Could Jules Verne's "Journey to the Center of the Sun" hold the key to unraveling the enigmatic link between Theodore and solar power in Peru? While this classic adventure novel may not directly address our investigative pursuits, its exploration of solar phenomena could inspire newfound perspectives on our scholarly escapade. Furthermore, the sci-fi masterpiece "Solaris" by Stanisław Lem prompts contemplation of the solar mysteries that may intertwine with the Theodore trend. While these works may not offer direct answers, they certainly provide food for thought in our quest for understanding.

The Solar-Melodious Connection: Internet Memes and Modern Musings
In the digital age, internet memes have become a cultural touchstone for communicating quirky concepts and unexpected connections. When exploring the intersection of solar power and Theodore's popularity, the widely circulated meme featuring a charismatic solar panel adorned with a beaming Theodore Roosevelt serves as a lighthearted reminder of the potential synergy between these seemingly disparate entities. With the caption, "Theodore Power: Harnessing the Sun's Energy, One Name at a Time," this meme encapsulates the whimsical spirit of our research endeavor, infusing our academic pursuit with a touch of internet humor.

As we immerse ourselves in the scholarly tapestry of first names and solar power, let us not forget to embrace the unforeseen twists and turns that illuminate our path. After all, who knew that Theodore's tale could intertwine so seamlessly with the solar side?


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 Popularity of the first name Theodore and Solar power generated in Peru. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from US Social Security Administration and Energy Information Administration . You used data from 2000 to 2021

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

[[INTRODUCTION]]
"The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production" explores a whimsical and unexpected connection between the rise in popularity of the name "Theodore" and the solar power generated in Peru. It may sound like the premise of a quirky comedy film, but our research has uncovered a statistically significant relationship between these seemingly unrelated variables. As we embark on this enlightening journey, we invite our readers to join us in unraveling the mysteries of nomenclature and solar energy, all while embracing a spirit of lighthearted inquiry.
While it may seem far-fetched at first glance, the correlation between a person's given name and a country's solar power output is not as absurd as it may appear. After all, statistics has a way of revealing surprising relationships that even the most astute researchers may overlook. As we delve into this delightful data odyssey, let us not forget to approach our findings with a healthy dose of curiosity and humor. After all, what better way to shed light on a topic than to infuse it with a sense of playfulness and wonder?
As we embark on this scholarly escapade, it is crucial to acknowledge the depth of our investigation. We have captured data from the US Social Security Administration to track the fluctuating fortunes of the name "Theodore" over the past two decades. Meanwhile, we have also delved into the archives of the Energy Information Administration to quantify the solar power generated in Peru during the same period. With our statistical toolkit in hand, we have applied rigorous analytical methods to tease out any potential patterns between these variables, all in the name of academic exploration and, of course, a good laugh.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To embark on our extraordinary odyssey into the world of Theodore and solar power in Peru, we first utilized the data treasure troves of the US Social Security Administration and the Energy Information Administration. Our mission: to uncover the sunny secrets hidden within the Theodore trend and its curious connection to solar power.

Our noble journey through the sea of data began with the extraction of all instances of the name "Theodore" from the US Social Security Administration records spanning from 2000 to 2021. We employed a custom-built algorithm known as the "Theodore Tracker" to sift through the vast ocean of names and pinpoint the appearances of our titular protagonist. Once each Theodore sighting was verified, we meticulously cataloged the annual occurrences to construct a comprehensive timeline of Theodore's ascension.

Meanwhile, on the other side of the globe, our team harnessed the energy (pun intended) of the Energy Information Administration's databases to harvest the solar power production data in Peru throughout the same time frame. This involved a riveting process of data extraction worthy of its own solar-powered spotlight, as we curated kilowatt-hour figures and solar radiation measurements with fervent enthusiasm.

With our troves of Theodore occurrences and solar power statistics in hand, we then launched into the statistical stratosphere, employing formidable tools such as correlation analysis and regression modeling to decipher any semblance of a magnetic attraction between Theodore's popularity and Peru's solar power output. Our trusty statistical models, armed with the power of R and Python, diligently scrutinized the data for signs of a cosmic entanglement.

To quantify the strength and direction of the relationship, we calculated correlation coefficients and fitted regression models, invoking the spirits of Pearson and Spearman to guide our statistical voyage. Through extensive diagnostic checks and sensitivity analyses, we ensured that our findings were anchored in a robust statistical framework, rather than adrift in an ocean of whimsy.

As we ventured deeper into the unknown, we also considered potential confounding variables, such as cloud cover, geographic location, and prevailing economic conditions, to safeguard our findings against spurious correlations and cosmic coincidences. We navigated this statistical labyrinth with the precision of astrocartographers, charting a course to unveil the celestial dance between Theodore and solar power in Peru.

Armed with a hearty blend of statistical rigor and a sprinkle of scientific serendipity, we emerged from our research expedition with compelling evidence of a striking relationship between the expanse of Theodore and the glow of solar power in Peru. Emboldened by our findings, we invite fellow scholars to bask in the radiance of this delightful discovery, all while savoring a hearty dose of scientific whimsy.


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 Popularity of the first name Theodore and Solar power generated in Peru. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from US Social Security Administration and Energy Information Administration .

For the time period 2000 to 2021, you found a correlation 0.9813059, r-squared of 0.9629613, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
"The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production" explores a whimsical and unexpected connection between the rise in popularity of the name "Theodore" and the solar power generated in Peru. It may sound like the premise of a quirky comedy film, but our research has uncovered a statistically significant relationship between these seemingly unrelated variables. As we embark on this enlightening journey, we invite our readers to join us in unraveling the mysteries of nomenclature and solar energy, all while embracing a spirit of lighthearted inquiry.
While it may seem far-fetched at first glance, the correlation between a person's given name and a country's solar power output is not as absurd as it may appear. After all, statistics has a way of revealing surprising relationships that even the most astute researchers may overlook. As we delve into this delightful data odyssey, let us not forget to approach our findings with a healthy dose of curiosity and humor. After all, what better way to shed light on a topic than to infuse it with a sense of playfulness and wonder?
As we embark on this scholarly escapade, it is crucial to acknowledge the depth of our investigation. We have captured data from the US Social Security Administration to track the fluctuating fortunes of the name "Theodore" over the past two decades. Meanwhile, we have also delved into the archives of the Energy Information Administration to quantify the solar power generated in Peru during the same period. With our statistical toolkit in hand, we have applied rigorous analytical methods to tease out any potential patterns between these variables, all in the name of academic exploration and, of course, a good laugh.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of this study reveal a strikingly strong correlation between the popularity of the first name "Theodore" and the solar power generated in Peru. Our statistical analysis unveiled a correlation coefficient of 0.9813059, indicating a remarkably high degree of association between these seemingly unrelated variables. With an r-squared value of 0.9629613, we can be confident that approximately 96.3% of the variation in Peru's solar power production can be explained by the prevalence of the name "Theodore." It's as if the sun itself is whispering "Theodore" in Peru's ear, nudging it to greater solar energy production!

The p-value of less than 0.01 further strengthens the significance of this correlation, suggesting that the likelihood of this relationship occurring by random chance is less than 1%. In other words, it's more probable for a solar panel to spontaneously combust into a disco ball than for this correlation to be a fluke.

In Fig. 1, our scatterplot graphically illustrates the robust relationship between the popularity of the name "Theodore" and the solar power generated in Peru. The data points form a nearly perfect straight line, resembling a solar panel array neatly aligned under the blazing Peruvian sun. It's as if the name "Theodore" acts as a celestial conductor, orchestrating the solar symphony in Peru's energy landscape.

Now, this finding may prompt many questions. Does the name "Theodore" carry some untold cosmic energy, influencing not only individuals but also an entire country's solar power generation? Or perhaps there are secret gatherings of "Theodore" enthusiasts in Peru, harnessing the power of their shared name to fuel their solar initiatives? Our investigation can't conclusively answer these ponderings, but one thing's for certain – this correlation shines a vibrant light on the captivating interplay between human nomenclature and sustainable energy generation.

Our research has not only unveiled a surprising connection but has also illuminated the potential for unearthing unexpected relationships hidden within data. Who would have thought that a person's name could hold sway over a country's solar energy production? It appears that the sun isn't the only celestial body exerting influence on earthly affairs – statistical relationships, too, have their own gravitational pull.

In summary, our findings not only bolster the empirical evidence supporting the "Theodore Trend" but also invite further scrutiny into the whimsical interplay between names and natural phenomena. As we revel in the radiance of this discovery, let's not forget to embrace the joy of scientific inquiry and perhaps sprinkle a little humor along the way. After all, what better way to shed light on statistical relationships than with a dash of lightheartedness and a solar-powered smile?


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 Popularity of the first name Theodore and Solar power generated in Peru. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

[[LITERATURE REVIEW]]
Theodore's Trend: Shedding Light on the Solar Side
Theodore's Tale: A Serious Start
In “Influence of First Names on Sociocultural Phenomena,” Smith et al. explore the potential impact of people's names on various societal trends, from career choices to educational attainment, and even political preferences. The authors find compelling evidence of the influence of nomenclature on individual and collective behavior, but the idea that a name could be linked to a country's solar power output remains uncharted territory. Similarly, in "Name Dynamics and Social Trends," Doe and Jones delve into the intricate dynamics of first names and the societal forces shaping their popularity. Little did they know, their research could have paved the way for our unexpected investigation into the Theodore trend and its ties to solar power in Peru.
Illuminating Reads: Fictional Fables with Potential Relevance
Moving beyond the world of non-fiction, it is worth considering the potential impact of fictional works on this peculiar connection. Could Jules Verne's "Journey to the Center of the Sun" hold the key to unraveling the enigmatic link between Theodore and solar power in Peru? While this classic adventure novel may not directly address our investigative pursuits, its exploration of solar phenomena could inspire newfound perspectives on our scholarly escapade. Furthermore, the sci-fi masterpiece "Solaris" by Stanisław Lem prompts contemplation of the solar mysteries that may intertwine with the Theodore trend. While these works may not offer direct answers, they certainly provide food for thought in our quest for understanding.
The Solar-Melodious Connection: Internet Memes and Modern Musings
In the digital age, internet memes have become a cultural touchstone for communicating quirky concepts and unexpected connections. When exploring the intersection of solar power and Theodore's popularity, the widely circulated meme featuring a charismatic solar panel adorned with a beaming Theodore Roosevelt serves as a lighthearted reminder of the potential synergy between these seemingly disparate entities. With the caption, "Theodore Power: Harnessing the Sun's Energy, One Name at a Time," this meme encapsulates the whimsical spirit of our research endeavor, infusing our academic pursuit with a touch of internet humor.
As we immerse ourselves in the scholarly tapestry of first names and solar power, let us not forget to embrace the unforeseen twists and turns that illuminate our path. After all, who knew that Theodore's tale could intertwine so seamlessly with the solar side?

[[RESULTS]]
The results of this study reveal a strikingly strong correlation between the popularity of the first name "Theodore" and the solar power generated in Peru. Our statistical analysis unveiled a correlation coefficient of 0.9813059, indicating a remarkably high degree of association between these seemingly unrelated variables. With an r-squared value of 0.9629613, we can be confident that approximately 96.3% of the variation in Peru's solar power production can be explained by the prevalence of the name "Theodore." It's as if the sun itself is whispering "Theodore" in Peru's ear, nudging it to greater solar energy production!
The p-value of less than 0.01 further strengthens the significance of this correlation, suggesting that the likelihood of this relationship occurring by random chance is less than 1%. In other words, it's more probable for a solar panel to spontaneously combust into a disco ball than for this correlation to be a fluke.
In Fig. 1, our scatterplot graphically illustrates the robust relationship between the popularity of the name "Theodore" and the solar power generated in Peru. The data points form a nearly perfect straight line, resembling a solar panel array neatly aligned under the blazing Peruvian sun. It's as if the name "Theodore" acts as a celestial conductor, orchestrating the solar symphony in Peru's energy landscape.
Now, this finding may prompt many questions. Does the name "Theodore" carry some untold cosmic energy, influencing not only individuals but also an entire country's solar power generation? Or perhaps there are secret gatherings of "Theodore" enthusiasts in Peru, harnessing the power of their shared name to fuel their solar initiatives? Our investigation can't conclusively answer these ponderings, but one thing's for certain – this correlation shines a vibrant light on the captivating interplay between human nomenclature and sustainable energy generation.
Our research has not only unveiled a surprising connection but has also illuminated the potential for unearthing unexpected relationships hidden within data. Who would have thought that a person's name could hold sway over a country's solar energy production? It appears that the sun isn't the only celestial body exerting influence on earthly affairs – statistical relationships, too, have their own gravitational pull.
In summary, our findings not only bolster the empirical evidence supporting the "Theodore Trend" but also invite further scrutiny into the whimsical interplay between names and natural phenomena. As we revel in the radiance of this discovery, let's not forget to embrace the joy of scientific inquiry and perhaps sprinkle a little humor along the way. After all, what better way to shed light on statistical relationships than with a dash of lightheartedness and a solar-powered smile?

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our findings have brought to light a correlation so strong that one could say it shines as brightly as the Peruvian sun itself. The Theodore trend and Peru's solar power production appear to be engaged in an intricate waltz, with the name "Theodore" leading the charge towards sustainable energy generation. Our results not only echo the scholarly whispers of Smith et al. and Doe and Jones but also add a significant beam of illumination to their theoretical musings.

The surprising connection between Theodore's popularity and Peru's solar power production may have raised an eyebrow or two, but it turns out there may be more to this than meets the eye. Just as Jules Verne's journey offered insights into the enigmatic link between Theodore and solar power, our research has unveiled a tangible association that mirrors the uncharted territory mapped out by Smith et al. and Doe and Jones. Who knew that an adventure into data analysis could rival the excitement of exploring the center of the sun itself?

Furthermore, our results reaffirm the potential influence of first names on sociocultural phenomena, drawing a parallel to the compelling evidence presented by Smith et al. While our study may not have ventured into the realm of Jules Verne's fictional fables, it certainly adds an unexpected chapter to the saga of name dynamics and societal trends. Perhaps Stanisław Lem's Solaris holds secrets not just of distant celestial beings, but also of the Theodore trend's undeniable sway over sustainable energy initiatives.

The Theodore trend and Peru's solar power production, once disparate entities, have now been brought together in a statistically significant embrace. Our journey through the scholarly tapestry of first names and solar power has not only uncovered this unexpected relationship but has also energized the field of statistical research with a touch of whimsy. After all, in the realm of statistical relationships, who's to say that a bit of lightheartedness isn't the secret ingredient to unveiling hidden connections?

In conclusion, our study has demonstrated that the influence of names extends far beyond the individual, reaching into the very fabric of a country's energy landscape. The statistical prowess of the Theodore trend in influencing solar power production invites further exploration and perhaps a few lighthearted puns along the way. As we bask in the radiance of our findings, let's not forget to celebrate the joy of scientific inquiry and the unexpected twists that illuminate our statistical journey.


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 Popularity of the first name Theodore and Solar power generated in Peru. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production

[[ABSTRACT]]
This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

[[INTRDUCTION]]
"The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production" explores a whimsical and unexpected connection between the rise in popularity of the name "Theodore" and the solar power generated in Peru. It may sound like the premise of a quirky comedy film, but our research has uncovered a statistically significant relationship between these seemingly unrelated variables. As we embark on this enlightening journey, we invite our readers to join us in unraveling the mysteries of nomenclature and solar energy, all while embracing a spirit of lighthearted inquiry.
While it may seem far-fetched at first glance, the correlation between a person's given name and a country's solar power output is not as absurd as it may appear. After all, statistics has a way of revealing surprising relationships that even the most astute researchers may overlook. As we delve into this delightful data odyssey, let us not forget to approach our findings with a healthy dose of curiosity and humor. After all, what better way to shed light on a topic than to infuse it with a sense of playfulness and wonder?
As we embark on this scholarly escapade, it is crucial to acknowledge the depth of our investigation. We have captured data from the US Social Security Administration to track the fluctuating fortunes of the name "Theodore" over the past two decades. Meanwhile, we have also delved into the archives of the Energy Information Administration to quantify the solar power generated in Peru during the same period. With our statistical toolkit in hand, we have applied rigorous analytical methods to tease out any potential patterns between these variables, all in the name of academic exploration and, of course, a good laugh.

[[RESULTS]]
The results of this study reveal a strikingly strong correlation between the popularity of the first name "Theodore" and the solar power generated in Peru. Our statistical analysis unveiled a correlation coefficient of 0.9813059, indicating a remarkably high degree of association between these seemingly unrelated variables. With an r-squared value of 0.9629613, we can be confident that approximately 96.3% of the variation in Peru's solar power production can be explained by the prevalence of the name "Theodore." It's as if the sun itself is whispering "Theodore" in Peru's ear, nudging it to greater solar energy production!
The p-value of less than 0.01 further strengthens the significance of this correlation, suggesting that the likelihood of this relationship occurring by random chance is less than 1%. In other words, it's more probable for a solar panel to spontaneously combust into a disco ball than for this correlation to be a fluke.
In Fig. 1, our scatterplot graphically illustrates the robust relationship between the popularity of the name "Theodore" and the solar power generated in Peru. The data points form a nearly perfect straight line, resembling a solar panel array neatly aligned under the blazing Peruvian sun. It's as if the name "Theodore" acts as a celestial conductor, orchestrating the solar symphony in Peru's energy landscape.
Now, this finding may prompt many questions. Does the name "Theodore" carry some untold cosmic energy, influencing not only individuals but also an entire country's solar power generation? Or perhaps there are secret gatherings of "Theodore" enthusiasts in Peru, harnessing the power of their shared name to fuel their solar initiatives? Our investigation can't conclusively answer these ponderings, but one thing's for certain – this correlation shines a vibrant light on the captivating interplay between human nomenclature and sustainable energy generation.
Our research has not only unveiled a surprising connection but has also illuminated the potential for unearthing unexpected relationships hidden within data. Who would have thought that a person's name could hold sway over a country's solar energy production? It appears that the sun isn't the only celestial body exerting influence on earthly affairs – statistical relationships, too, have their own gravitational pull.
In summary, our findings not only bolster the empirical evidence supporting the "Theodore Trend" but also invite further scrutiny into the whimsical interplay between names and natural phenomena. As we revel in the radiance of this discovery, let's not forget to embrace the joy of scientific inquiry and perhaps sprinkle a little humor along the way. After all, what better way to shed light on statistical relationships than with a dash of lightheartedness and a solar-powered smile?

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has brought to light an unexpected and delightfully quirky relationship between the popularity of the name "Theodore" and the solar power generated in Peru. It's as if the Peruvian sunshine is whispering sweet nothings of "Theodore" to its solar panels, nudging them to bask in their full energy potential. The statistical correlation we've uncovered is stronger than a supernova, with a nearly perfect straight-line relationship that would make even the most seasoned solar physicist do a double take.

As we wrap up this enlightening escapade, it's clear that further research in this area may not be as illuminating as the Peruvian solar panels themselves. The undeniable connection between "Theodore" and solar power generation shines a light on the wacky, wonderful world of statistical relationships, where even the most unexpected variables can dance a statistical tango. And while we may not have fully unraveled the cosmic mysteries of this correlation, our findings certainly add a solar-powered spark of curiosity to the ever-rotating scientific discourse.

Therefore, we boldly declare that no further research is needed in this field. After all, when the sun and Theodore align in statistical splendor, what more can the world of research hope to unravel? Let's bask in the glow of this delightfully unexpected discovery and toast to the tantalizing tangents that research can take when infused with a dash of humor and a playful spirit of inquiry.


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of academic journals. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding research, scientific, or academic journal that would publish a paper entited The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Solar Sociology


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Solar-Powered Societal Trends and Teddy Bear Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled The Theodore Trend: Tracing the Ties between Theodore's Popularity and Peru's Solar Power Production with an abstract of This illuminating research study sheds light on the surprising correlation between the prevalence of the first name "Theodore" and the level of solar power generated in Peru. Leveraging data from the US Social Security Administration and the Energy Information Administration, our team embarked on a playful pursuit of this peculiar link. Applying rigorous statistical analysis, we uncovered a striking correlation coefficient of 0.9813059 with a p-value less than 0.01 over the period from 2000 to 2021. Through this investigation, we aim to demonstrate that Theodore's appeal transcends nomenclature, extending all the way to the sunny fields of solar power in Peru. So, let's raise a solar-powered toast to the enigmatic influence of Theodore!

ChatGPT:

"Theodore trend," "solar power production in Peru," "correlation between name Theodore and solar power," "US Social Security Administration data," "Energy Information Administration data," "correlation coefficient in statistical analysis," "Theodore's appeal," "influence of Theodore on solar power generation"

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



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Data details

Popularity of the first name Theodore
Detailed data title: Babies of all sexes born in the US named Theodore
Source: US Social Security Administration
See what else correlates with Popularity of the first name Theodore

Solar power generated in Peru
Detailed data title: Total solar power generated in Peru in billion kWh
Source: Energy Information Administration
See what else correlates with Solar power generated in Peru

Correlation r = 0.9813059 (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 = 0.9629613 (Coefficient of determination)
This means 96.3% of the change in the one variable (i.e., Solar power generated in Peru) is predictable based on the change in the other (i.e., Popularity of the first name Theodore) over the 22 years from 2000 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 8.71E-16. 0.0000000000000008709485718972
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 0.98 in 8.71E-14% of random cases. Said differently, if you correlated 1,148,173,419,495,580 random variables You don't actually need 1 quadrillion 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.

[ 0.95, 0.99 ] 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.
2000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Popularity of the first name Theodore (Babies born)934935975964100510951133113711391239133215731949242832284153491659667083789986419589
Solar power generated in Peru (Billion kWh)5.0E-55.0E-55.0E-55.0E-55.0E-55.0E-55.0E-55.0E-55.0E-55.0E-55.0E-55.0E-50.0930.2380.2470.2860.3060.3610.750.7790.7940.819




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. Confounding variable: 2020 is particularly different from the other years on this graph. Confounding variables (like global pandemics) will cause two variables to look connected when in fact a "sneaky third" variable is influencing both of them behind the scenes.




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([934,935,975,964,1005,1095,1133,1137,1139,1239,1332,1573,1949,2428,3228,4153,4916,5966,7083,7899,8641,9589,])
array_2 = np.array([5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,5.0E-5,0.093,0.238,0.247,0.286,0.306,0.361,0.75,0.779,0.794,0.819,])
array_1_name = "Popularity of the first name Theodore"
array_2_name = "Solar power generated in Peru"

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

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



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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: 3004 · Black Variable ID: 2578 · Red Variable ID: 23896
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