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Spurious correlation #1,598 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Solar power generated in Argentina and the second variable is Google searches for 'do vaccines work'.  The chart goes from 2004 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As solar power in Argentina increased, the influx of renewable energy somehow supercharged the internet, leading to a surge in overall health knowledge. This, in turn, prompted more people to research and understand the effectiveness of vaccines. So, in a shocking twist, it seems like the sun isn't just good for vitamin D but also for sparking an interest in vaccination efficacy.

Model: dalle-3
Prompt: Generate an image of a futuristic world where a meadow in Argentina is filled with towering solar panels glistening in the sunlight. Amidst this scene, a solitary figure sits in front of a computer, surrounded by an aura of curiosity and determination. The individual is engaged in a quest for knowledge, typing the question "do vaccines work" into a search engine, striving to uncover the truth amidst the serene and sustainable landscape. 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: Solar power generated in Argentina and Google searches for 'do vaccines work'. 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 comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Concept art Scalar art Sci-fi fantacy inspired by bauhaus
ChatGPT: Sci-fi fantasy

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 Solar power generated in Argentina and Google searches for 'do vaccines work' together. Keep the description simple.
ChatGPT: In a sunlit field in Argentina, a group of solar panels stand tall, generating clean and renewable energy. Nearby, a person seated in front of a computer is searching "do vaccines work" on Google, seeking accurate information and answers.

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: In a sunlit field in Argentina, a group of solar panels stand tall, generating clean and renewable energy. Nearby, a person seated in front of a computer is searching "do vaccines work" on Google, seeking accurate information and answers. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a futuristic world where a meadow in Argentina is filled with towering solar panels glistening in the sunlight. Amidst this scene, a solitary figure sits in front of a computer, surrounded by an aura of curiosity and determination. The individual is engaged in a quest for knowledge, typing the question "do vaccines work" into a search engine, striving to uncover the truth amidst the serene and sustainable landscape.

*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 Solar power generated in Argentina caused do vaccines work (Google searches for 'do vaccines work') to increase. Make it feel plausible.

AI academic paper

(Because p < 0.01)
The Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

The Journal of Eclectic Energy Research

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 dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. Make lots of jokes, goofy observations, and puns.

Make the title seem clever.

Your research team used data from Energy Information Administration and Google Trends to assess this nagging question. You found a correlation coefficient of 0.9647017 and p < 0.01 for 2004 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 Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. 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]]
The Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

The pursuit of knowledge often leads us down unexpected paths, akin to a wayward satellite following the gravitational pull of a distant celestial body. In this case, our journey has led us to the intersection of solar power generation in Argentina and the enigmatic query of "do vaccines work" on the ubiquitous search engine, Google. While at first glance these two topics may appear as distant as the planets in our solar system, our investigation has uncovered a remarkably luminous link between them.

As our research team delved into this illuminating inquiry, we were struck by the sheer contrast between the radiant energy harnessed from the Argentine sun and the shadowy realm of vaccine skepticism. The radiant nature of solar power stands in stark juxtaposition to the often shadowy dissemination of misinformation surrounding vaccines. Yet, it is precisely this stark dichotomy that has piqued our academic curiosity. How are these seemingly unrelated topics intertwined in the vast web of human behavior and information-seeking patterns?

Our pursuit was not without its challenges, however. The data collection process itself resembled a cosmic dance, with intricate steps performed to capture the nuances of solar power generation and the ebbs and flows of vaccine-related searches. Despite the complexities of gathering and interpreting such diverse datasets, our findings have emerged like the breaking dawn, shedding light on a correlation that is as unexpected as it is intriguing.

Our investigation is an ode to the power of interdisciplinary collaboration in the grand symphony of research. The striking correlation coefficient of 0.9647017, accompanied by the resounding drum roll of statistical significance at p < 0.01, underscores the gravity of our findings. In this light, we extend an invitation to our esteemed readers to join us in our exploration as we journey through the cosmos of data and knowledge, with our findings illuminating the need for further inquiry and introspection.

As we embark on this scholarly excursion, we invite our readers to don their metaphorical solar goggles and bask in the glow of our findings. Let us harness the radiant power of intellectual curiosity as we navigate the celestial conundrum of solar power and the perennial question: Do vaccines work?


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. 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]]
The Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
The pursuit of knowledge often leads us down unexpected paths, akin to a wayward satellite following the gravitational pull of a distant celestial body. In this case, our journey has led us to the intersection of solar power generation in Argentina and the enigmatic query of "do vaccines work" on the ubiquitous search engine, Google. While at first glance these two topics may appear as distant as the planets in our solar system, our investigation has uncovered a remarkably luminous link between them.
As our research team delved into this illuminating inquiry, we were struck by the sheer contrast between the radiant energy harnessed from the Argentine sun and the shadowy realm of vaccine skepticism. The radiant nature of solar power stands in stark juxtaposition to the often shadowy dissemination of misinformation surrounding vaccines. Yet, it is precisely this stark dichotomy that has piqued our academic curiosity. How are these seemingly unrelated topics intertwined in the vast web of human behavior and information-seeking patterns?
Our pursuit was not without its challenges, however. The data collection process itself resembled a cosmic dance, with intricate steps performed to capture the nuances of solar power generation and the ebbs and flows of vaccine-related searches. Despite the complexities of gathering and interpreting such diverse datasets, our findings have emerged like the breaking dawn, shedding light on a correlation that is as unexpected as it is intriguing.
Our investigation is an ode to the power of interdisciplinary collaboration in the grand symphony of research. The striking correlation coefficient of 0.9647017, accompanied by the resounding drum roll of statistical significance at p < 0.01, underscores the gravity of our findings. In this light, we extend an invitation to our esteemed readers to join us in our exploration as we journey through the cosmos of data and knowledge, with our findings illuminating the need for further inquiry and introspection.
As we embark on this scholarly excursion, we invite our readers to don their metaphorical solar goggles and bask in the glow of our findings. Let us harness the radiant power of intellectual curiosity as we navigate the celestial conundrum of solar power and the perennial question: Do vaccines work?

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In their seminal work, Smith and Doe (2010) examined the trends of solar power generation in Argentina and its implications for the renewable energy sector. They delved into the economic viability of solar power and its potential impact on reducing greenhouse gas emissions, shedding light on the sunny prospects of harnessing solar energy in the South American nation. Similarly, Jones (2015) conducted a thorough analysis of public health information seeking behavior and the factors influencing individuals' queries related to vaccine efficacy. The study offered valuable insights into the complexities of public perception and information dissemination in the context of vaccine-related searches.

However, as we immerse ourselves in the radiant world of solar power and the enigmatic realm of vaccine queries, it is imperative to acknowledge the unconventional sources of inspiration that have guided our inquiry. "Sunlight and Shadows: A Comprehensive Guide to Solar Power" by Dr. Solaris (2018) has provided illuminating insights into the technical aspects of solar energy, shedding light on the intricacies of photovoltaic systems and solar panel installation. Additionally, "The Vaccine Conundrum: Myths, Misinformation, and Medical Marvels" by Dr. Inoculatrix (2019) has navigated the complex terrain of vaccine skepticism and the interplay of scientific evidence with public perception, casting a spotlight on the contentious debate surrounding vaccine efficacy.

Moving beyond the traditional confines of academic literature, we stumbled upon a trove of unexpected sources that offered anecdotal musings and peculiar perspectives on our research topic. In a recent tweet, @SunshineSeeker asserted, "The correlation between solar power and vaccine queries is as clear as day! We're all just searching for that radiant truth, aren't we?" The whimsical interplay of metaphors and the fusion of solar imagery with the quest for knowledge added a touch of levity to our investigation. Similarly, a viral TikTok video featuring a comical skit titled "Solar Flares and Search Queries" humorously juxtaposed the cosmic energy of solar flares with the fervent quest for vaccine-related information, demonstrating the unfathomable reaches of internet humor in our digital age.

Amidst the scholarly rigor and empirical analyses, it is essential to embrace a lighthearted perspective when navigating the labyrinthine interconnections of solar power generation and the quest for vaccine knowledge. As we embark on this scholarly odyssey, let us revel in the unexpected juxtapositions and unconventional insights that infuse our academic discourse with a radiant sense of curiosity and levity.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. 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 Energy Information Administration and Google Trends . You used data from 2004 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 Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

[[INTRODUCTION]]
INTRODUCTION
The pursuit of knowledge often leads us down unexpected paths, akin to a wayward satellite following the gravitational pull of a distant celestial body. In this case, our journey has led us to the intersection of solar power generation in Argentina and the enigmatic query of "do vaccines work" on the ubiquitous search engine, Google. While at first glance these two topics may appear as distant as the planets in our solar system, our investigation has uncovered a remarkably luminous link between them.
As our research team delved into this illuminating inquiry, we were struck by the sheer contrast between the radiant energy harnessed from the Argentine sun and the shadowy realm of vaccine skepticism. The radiant nature of solar power stands in stark juxtaposition to the often shadowy dissemination of misinformation surrounding vaccines. Yet, it is precisely this stark dichotomy that has piqued our academic curiosity. How are these seemingly unrelated topics intertwined in the vast web of human behavior and information-seeking patterns?
Our pursuit was not without its challenges, however. The data collection process itself resembled a cosmic dance, with intricate steps performed to capture the nuances of solar power generation and the ebbs and flows of vaccine-related searches. Despite the complexities of gathering and interpreting such diverse datasets, our findings have emerged like the breaking dawn, shedding light on a correlation that is as unexpected as it is intriguing.
Our investigation is an ode to the power of interdisciplinary collaboration in the grand symphony of research. The striking correlation coefficient of 0.9647017, accompanied by the resounding drum roll of statistical significance at p < 0.01, underscores the gravity of our findings. In this light, we extend an invitation to our esteemed readers to join us in our exploration as we journey through the cosmos of data and knowledge, with our findings illuminating the need for further inquiry and introspection.
As we embark on this scholarly excursion, we invite our readers to don their metaphorical solar goggles and bask in the glow of our findings. Let us harness the radiant power of intellectual curiosity as we navigate the celestial conundrum of solar power and the perennial question: Do vaccines work?

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection
The data for this study was collected through an intricate and convoluted process that involved traversing the vast expanse of the internet and harnessing the power of various data sources. The primary sources of data were the Energy Information Administration, which provided comprehensive information on solar power generation in Argentina, and Google Trends, which served as our celestial map for tracking the trajectory of "do vaccines work" search queries.

The web of data collection resembled a cosmic ballet, with our research team elegantly pirouetting through the digital sphere to capture the nuanced movements of solar power generation and the celestial dance of Google searches. This entailed navigating through the labyrinthine corridors of open data repositories, fending off the occasional rogue data point, and resisting the gravitational pull of internet distractions to ensure the purity of our dataset.

The temporal scope of the study encompassed the years 2004 to 2021, allowing our analysis to capture the full arc of solar power generation in Argentina and the evolving patterns of "do vaccines work" searches. The year 2004 marked the dawn of a new era in online inquiry, akin to the faint glimmers of a nascent star, while 2021 represents the culmination of our data collection efforts, akin to a celestial crescendo in the symphony of internet queries.

Data Analysis
In order to unravel the celestial mysteries of solar power and the idiosyncratic inquiries into vaccine efficacy, our data analysis employed an arsenal of statistical tools and methodologies. A correlation analysis was conducted to elucidate the relationship between solar power generation and Google searches for "do vaccines work," akin to charting the gravitational pull between distant celestial bodies.

The correlation coefficient, a measure of the strength and direction of the linear relationship between two variables, served as our compass in navigating the celestial terrain of data. The coefficient of 0.9647017 emerged as a radiant beacon, illuminating the unexpectedly strong connection between these seemingly disparate phenomena. Furthermore, statistical significance at p < 0.01 reinforced the robustness of our findings, akin to the weight of a celestial body in the gravitational cosmos of research.

Additionally, time series analysis was employed to unravel the temporal dynamics of solar power generation and vaccine-related search queries. This allowed us to discern the celestial rhythms and periodicities inherent in these phenomena, akin to capturing the cadence of celestial bodies in their cosmic dance through the heavens.

The overarching goal of our data analysis was to unravel the celestial symphony of solar power and vaccine skepticism, shedding light on the unexpected interplay between these phenomena amidst the vast expanse of online inquiry. The findings of our analysis serve as a testament to the boundless potential of harnessing data, like a celestial navigator charting unexplored territories of knowledge.

Limitations
While our research journey has illuminated an intriguing connection between solar power in Argentina and "do vaccines work" searches, it is not without its limitations. The inherent complexity and multifaceted nature of human behavior and online information-seeking patterns pose challenges in establishing conclusive causality between these phenomena. Furthermore, the dynamic nature of internet trends and solar power generation introduces inherent volatility, akin to the unpredictable celestial dances of cosmic bodies.

It is essential to recognize that correlation does not imply causation, and our findings merely capture a glimpse of the celestial tapestry of data. Future research endeavors may delve deeper into the underlying mechanisms driving this correlation, akin to probing the gravitational forces that govern the movement of celestial bodies.

Nevertheless, our odyssey through the realms of solar power and vaccine queries stands as a testament to the power of interdisciplinary collaboration and the intrepid spirit of scientific inquiry. As we chart new frontiers of knowledge, we invite fellow scholars and enthusiasts to join us in this cosmic journey of discovery, as we ponder the lingering question: Do solar-powered inquiries shed light on the efficacy of vaccines?


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. 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 Energy Information Administration and Google Trends .

For the time period 2004 to 2021, you found a correlation 0.9647017, r-squared of 0.9306494, 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 Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
The pursuit of knowledge often leads us down unexpected paths, akin to a wayward satellite following the gravitational pull of a distant celestial body. In this case, our journey has led us to the intersection of solar power generation in Argentina and the enigmatic query of "do vaccines work" on the ubiquitous search engine, Google. While at first glance these two topics may appear as distant as the planets in our solar system, our investigation has uncovered a remarkably luminous link between them.
As our research team delved into this illuminating inquiry, we were struck by the sheer contrast between the radiant energy harnessed from the Argentine sun and the shadowy realm of vaccine skepticism. The radiant nature of solar power stands in stark juxtaposition to the often shadowy dissemination of misinformation surrounding vaccines. Yet, it is precisely this stark dichotomy that has piqued our academic curiosity. How are these seemingly unrelated topics intertwined in the vast web of human behavior and information-seeking patterns?
Our pursuit was not without its challenges, however. The data collection process itself resembled a cosmic dance, with intricate steps performed to capture the nuances of solar power generation and the ebbs and flows of vaccine-related searches. Despite the complexities of gathering and interpreting such diverse datasets, our findings have emerged like the breaking dawn, shedding light on a correlation that is as unexpected as it is intriguing.
Our investigation is an ode to the power of interdisciplinary collaboration in the grand symphony of research. The striking correlation coefficient of 0.9647017, accompanied by the resounding drum roll of statistical significance at p < 0.01, underscores the gravity of our findings. In this light, we extend an invitation to our esteemed readers to join us in our exploration as we journey through the cosmos of data and knowledge, with our findings illuminating the need for further inquiry and introspection.
As we embark on this scholarly excursion, we invite our readers to don their metaphorical solar goggles and bask in the glow of our findings. Let us harness the radiant power of intellectual curiosity as we navigate the celestial conundrum of solar power and the perennial question: Do vaccines work?

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The journey through the cosmos of data and knowledge has illuminated a striking relationship between solar power generation in Argentina and the query "do vaccines work" on Google. Our research team found a remarkably strong correlation, with a correlation coefficient of 0.9647017 and an r-squared value of 0.9306494 from 2004 to 2021. The p-value of less than 0.01 further accentuates the robustness of this connection, akin to a bright beam of sunlight breaking through the cloud cover of uncertainty.

The scatterplot (Fig. 1) visually depicts the remarkably strong correlation between these seemingly disparate variables. The data points are aligned as if guided by the gravitational pull of a celestial body, highlighting the undeniable link that has emerged from our analysis.

In contemplating this unexpected correlation, one cannot help but ponder the intertwined nature of sunshine and curiosity. The radiant energy harnessed from the Argentine sun seems to have sparked a parallel surge in queries about the effectiveness of vaccines. It's as if the solar power itself has infused a newfound intellectual vigor into the populace, directing their queries towards the age-old question: Do vaccines work? This unexpected convergence shines a light on the profound interconnectedness of human curiosity and environmental energy dynamics.

Indeed, this investigation has not only revealed a statistically significant relationship but also illuminated the broader need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections. The nuances of human behavior and information-seeking patterns, much like the dance of celestial bodies, continue to fascinate and surprise us with their intricate interplay.

As we bask in the glow of our findings, it becomes increasingly clear that our journey through the cosmos of data and knowledge has only just begun. The radiant power of intellectual curiosity beckons us to further unravel the enigmatic link between solar power in Argentina and the perennial question that seems to orbit it: Do vaccines work?

In conclusion, the unexpectedly sunny relationship between solar power and vaccine-related queries invites further exploration and contemplation, demonstrating the need for continued interdisciplinary inquiry in unraveling the complex tapestry of human behavior and societal dynamics.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. 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]]
The Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

[[LITERATURE REVIEW]]
In their seminal work, Smith and Doe (2010) examined the trends of solar power generation in Argentina and its implications for the renewable energy sector. They delved into the economic viability of solar power and its potential impact on reducing greenhouse gas emissions, shedding light on the sunny prospects of harnessing solar energy in the South American nation. Similarly, Jones (2015) conducted a thorough analysis of public health information seeking behavior and the factors influencing individuals' queries related to vaccine efficacy. The study offered valuable insights into the complexities of public perception and information dissemination in the context of vaccine-related searches.
However, as we immerse ourselves in the radiant world of solar power and the enigmatic realm of vaccine queries, it is imperative to acknowledge the unconventional sources of inspiration that have guided our inquiry. "Sunlight and Shadows: A Comprehensive Guide to Solar Power" by Dr. Solaris (2018) has provided illuminating insights into the technical aspects of solar energy, shedding light on the intricacies of photovoltaic systems and solar panel installation. Additionally, "The Vaccine Conundrum: Myths, Misinformation, and Medical Marvels" by Dr. Inoculatrix (2019) has navigated the complex terrain of vaccine skepticism and the interplay of scientific evidence with public perception, casting a spotlight on the contentious debate surrounding vaccine efficacy.
Moving beyond the traditional confines of academic literature, we stumbled upon a trove of unexpected sources that offered anecdotal musings and peculiar perspectives on our research topic. In a recent tweet, @SunshineSeeker asserted, "The correlation between solar power and vaccine queries is as clear as day! We're all just searching for that radiant truth, aren't we?" The whimsical interplay of metaphors and the fusion of solar imagery with the quest for knowledge added a touch of levity to our investigation. Similarly, a viral TikTok video featuring a comical skit titled "Solar Flares and Search Queries" humorously juxtaposed the cosmic energy of solar flares with the fervent quest for vaccine-related information, demonstrating the unfathomable reaches of internet humor in our digital age.
Amidst the scholarly rigor and empirical analyses, it is essential to embrace a lighthearted perspective when navigating the labyrinthine interconnections of solar power generation and the quest for vaccine knowledge. As we embark on this scholarly odyssey, let us revel in the unexpected juxtapositions and unconventional insights that infuse our academic discourse with a radiant sense of curiosity and levity.

[[RESULTS]]
The journey through the cosmos of data and knowledge has illuminated a striking relationship between solar power generation in Argentina and the query "do vaccines work" on Google. Our research team found a remarkably strong correlation, with a correlation coefficient of 0.9647017 and an r-squared value of 0.9306494 from 2004 to 2021. The p-value of less than 0.01 further accentuates the robustness of this connection, akin to a bright beam of sunlight breaking through the cloud cover of uncertainty.
The scatterplot (Fig. 1) visually depicts the remarkably strong correlation between these seemingly disparate variables. The data points are aligned as if guided by the gravitational pull of a celestial body, highlighting the undeniable link that has emerged from our analysis.
In contemplating this unexpected correlation, one cannot help but ponder the intertwined nature of sunshine and curiosity. The radiant energy harnessed from the Argentine sun seems to have sparked a parallel surge in queries about the effectiveness of vaccines. It's as if the solar power itself has infused a newfound intellectual vigor into the populace, directing their queries towards the age-old question: Do vaccines work? This unexpected convergence shines a light on the profound interconnectedness of human curiosity and environmental energy dynamics.
Indeed, this investigation has not only revealed a statistically significant relationship but also illuminated the broader need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections. The nuances of human behavior and information-seeking patterns, much like the dance of celestial bodies, continue to fascinate and surprise us with their intricate interplay.
As we bask in the glow of our findings, it becomes increasingly clear that our journey through the cosmos of data and knowledge has only just begun. The radiant power of intellectual curiosity beckons us to further unravel the enigmatic link between solar power in Argentina and the perennial question that seems to orbit it: Do vaccines work?
In conclusion, the unexpectedly sunny relationship between solar power and vaccine-related queries invites further exploration and contemplation, demonstrating the need for continued interdisciplinary inquiry in unraveling the complex tapestry of human behavior and societal dynamics.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The remarkable correlation uncovered in our study between solar power generation in Argentina and Google searches for 'do vaccines work' has shed light on an unforeseen connection. Our findings align with previous research by Smith and Doe (2010), who emphasized the potential impact of solar power on environmental sustainability, as well as Jones (2015), who delved into public health information seeking behavior. These prior studies, though not explicitly exploring the interplay between solar energy and vaccine queries, provide a foundation for understanding the multidimensional influences on public information seeking.

Moreover, our investigation underscores the importance of interdisciplinary collaboration in unraveling the complexities of human behavior and societal dynamics, akin to the intricate interplay of cosmic forces. The unexpected convergence of solar energy and the quest for vaccine knowledge highlights the need for a multi-faceted approach to comprehending the interconnectedness of environmental factors and public curiosity. As the sun's rays illuminate the solar panels in Argentina, they seemingly imbue a radiant energy into the quest for vaccine-related information, akin to a cosmic dance of influence and inquiry.

While the nature of this correlation is as enigmatic as the depths of outer space, our findings provoke contemplation on the intangible forces that guide human curiosity. As if the sunlight itself has triggered a surge in questioning about vaccine efficacy, our study invites further exploration into the underlying mechanisms that fuel the connection between environmental influences and public inquiry. This unexpected juxtaposition acts as a celestial enigma that beckons further inquiry, much like a thought-provoking riddle awaiting a solution.

In navigating these unexpected interconnections, it is essential to maintain a lighthearted perspective as we unravel the intricate web of solar power and vaccine queries. Just as Dr. Solaris (2018) shed light on the technical aspects of solar energy, and Dr. Inoculatrix (2019) navigated the complex terrain of vaccine skepticism, our study indirectly embodies the whimsical musings of @SunshineSeeker and the comical skit "Solar Flares and Search Queries." Sometimes, the most unexpected sources of inspiration guide us towards illuminating insights.

As we delve deeper into the radiant world of solar power and the inquisitive realm of vaccine queries, we must embrace the unexpected and relish the intricacies of human curiosity. Our study's robust findings serve as a beacon of intellectual inquiry, inviting future researchers to join us in pondering the solar-powered question: Do vaccines work?

The glowing connection between solar power and vaccine queries sparks a sense of wonder, much like a cosmic marvel awaiting exploration. As we navigate this scholarly odyssey, let us revel in the whimsical juxtapositions and unexpected insights that infuse our academic discourse with a radiant sense of curiosity and interdisciplinary contemplation.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Solar power generated in Argentina and Google searches for 'do vaccines work'. 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]]
The Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches

[[ABSTRACT]]
This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

[[INTRDUCTION]]
INTRODUCTION
The pursuit of knowledge often leads us down unexpected paths, akin to a wayward satellite following the gravitational pull of a distant celestial body. In this case, our journey has led us to the intersection of solar power generation in Argentina and the enigmatic query of "do vaccines work" on the ubiquitous search engine, Google. While at first glance these two topics may appear as distant as the planets in our solar system, our investigation has uncovered a remarkably luminous link between them.
As our research team delved into this illuminating inquiry, we were struck by the sheer contrast between the radiant energy harnessed from the Argentine sun and the shadowy realm of vaccine skepticism. The radiant nature of solar power stands in stark juxtaposition to the often shadowy dissemination of misinformation surrounding vaccines. Yet, it is precisely this stark dichotomy that has piqued our academic curiosity. How are these seemingly unrelated topics intertwined in the vast web of human behavior and information-seeking patterns?
Our pursuit was not without its challenges, however. The data collection process itself resembled a cosmic dance, with intricate steps performed to capture the nuances of solar power generation and the ebbs and flows of vaccine-related searches. Despite the complexities of gathering and interpreting such diverse datasets, our findings have emerged like the breaking dawn, shedding light on a correlation that is as unexpected as it is intriguing.
Our investigation is an ode to the power of interdisciplinary collaboration in the grand symphony of research. The striking correlation coefficient of 0.9647017, accompanied by the resounding drum roll of statistical significance at p < 0.01, underscores the gravity of our findings. In this light, we extend an invitation to our esteemed readers to join us in our exploration as we journey through the cosmos of data and knowledge, with our findings illuminating the need for further inquiry and introspection.
As we embark on this scholarly excursion, we invite our readers to don their metaphorical solar goggles and bask in the glow of our findings. Let us harness the radiant power of intellectual curiosity as we navigate the celestial conundrum of solar power and the perennial question: Do vaccines work?

[[RESULTS]]
The journey through the cosmos of data and knowledge has illuminated a striking relationship between solar power generation in Argentina and the query "do vaccines work" on Google. Our research team found a remarkably strong correlation, with a correlation coefficient of 0.9647017 and an r-squared value of 0.9306494 from 2004 to 2021. The p-value of less than 0.01 further accentuates the robustness of this connection, akin to a bright beam of sunlight breaking through the cloud cover of uncertainty.
The scatterplot (Fig. 1) visually depicts the remarkably strong correlation between these seemingly disparate variables. The data points are aligned as if guided by the gravitational pull of a celestial body, highlighting the undeniable link that has emerged from our analysis.
In contemplating this unexpected correlation, one cannot help but ponder the intertwined nature of sunshine and curiosity. The radiant energy harnessed from the Argentine sun seems to have sparked a parallel surge in queries about the effectiveness of vaccines. It's as if the solar power itself has infused a newfound intellectual vigor into the populace, directing their queries towards the age-old question: Do vaccines work? This unexpected convergence shines a light on the profound interconnectedness of human curiosity and environmental energy dynamics.
Indeed, this investigation has not only revealed a statistically significant relationship but also illuminated the broader need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections. The nuances of human behavior and information-seeking patterns, much like the dance of celestial bodies, continue to fascinate and surprise us with their intricate interplay.
As we bask in the glow of our findings, it becomes increasingly clear that our journey through the cosmos of data and knowledge has only just begun. The radiant power of intellectual curiosity beckons us to further unravel the enigmatic link between solar power in Argentina and the perennial question that seems to orbit it: Do vaccines work?
In conclusion, the unexpectedly sunny relationship between solar power and vaccine-related queries invites further exploration and contemplation, demonstrating the need for continued interdisciplinary inquiry in unraveling the complex tapestry of human behavior and societal dynamics.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In the dazzling glow of our findings, the surprisingly sunny relationship between solar power generation in Argentina and Google searches for "do vaccines work" has illuminated a path of inquiry that traverses the celestial realms of human curiosity and environmental energy dynamics. Our investigation has been akin to navigating a cosmic dance, where the intricate steps of data collection and analysis have led us to an unexpected correlation of undeniable magnitude.

As we contemplate this radiant connection, it becomes clear that the power of harnessing data transcends the confines of traditional research boundaries, much like the boundless reach of the sun's rays. This unforeseen convergence between solar energy and vaccine-related queries shines a light on the interconnectedness of seemingly disparate phenomena, prompting us to ponder the cosmic conundrum: What other unexpected links lie waiting to be discovered in the vast expanse of data and knowledge?

The robust correlation coefficient of 0.9647017 and the resounding drumroll of statistical significance at p < 0.01 underscore the gravity of our findings. The scatterplot itself aligns the data points as if guided by the gravitational pull of a celestial body, reinforcing the undeniable link that has emerged from our analysis. It's as if the radiant energy harnessed from the Argentine sun has cast a luminous spotlight on the perennial question of vaccine effectiveness, sparking a surge of queries that mirror the newfound intellectual vigor infused into the populace.

The call for interdisciplinary collaboration reverberates like the harmonious resonance of the cosmos, emphasizing the need for continued exploration of the unexpected connections unveiled by our research. However, it becomes increasingly clear that no more research is needed in this area, as the results shine as brightly as the Argentinian sun.


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 Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Eclectic Energy Research


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 Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches. Respond only with the name of a fictional organization.

ChatGPT:

Society for Solar Energy Studies and Vaccine Inquiry


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 Illuminating Link: Solar Power in Argentina and the Curious Case of 'Do Vaccines Work' Google Searches with an abstract of This paper investigates the surprisingly sunny relationship between solar power generation in Argentina and the Google search query "do vaccines work." Utilizing data from the Energy Information Administration and Google Trends, our research team sought to shed light on this unexpected correlation. With a correlation coefficient of 0.9647017 and statistical significance at p < 0.01 from 2004 to 2021, our findings bask in the warm glow of curiosity. Our study illuminates the need for interdisciplinary collaboration and the power of harnessing data to uncover unexpected connections, like sunshine on a cloudy day. We invite readers to bask in the glow of our findings and join us in pondering the solar-powered query: Do vaccines work?

ChatGPT:

solar power Argentina, vaccine effectiveness, Google search trends, correlation coefficient, solar power generation, data analysis, interdisciplinary collaboration, unexpected connections, statistical significance, energy information administration

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



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Data details

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

Google searches for 'do vaccines work'
Detailed data title: Relative volume of Google searches for 'do vaccines work' (United States, without quotes)
Source: Google Trends
Additional Info: Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'do vaccines work'

Correlation r = 0.9647017 (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 = 0.9306494 (Coefficient of determination)
This means 93.1% of the change in the one variable (i.e., Google searches for 'do vaccines work') is predictable based on the change in the other (i.e., Solar power generated in Argentina) over the 18 years from 2004 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.08E-10. 0.0000000001084740451823715900
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 0.96 in 1.08E-8% of random cases. Said differently, if you correlated 9,218,795,135 random variables You don't actually need 9 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 17 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 17 because we have two variables measured over a period of 18 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.

[ 0.91, 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.
200420052006200720082009201020112012201320142015201620172018201920202021
Solar power generated in Argentina (Billion kWh)7.0E-58.0E-59.0E-50.00010.00010.00010.00010.0020.0080.0150.0160.0149120.0139170.0163240.1075120.7918431.331152.17402
Google searches for 'do vaccines work' (Rel. search volume)53.254.083334.083334.166678.55.666677.916677.66667911.166714.166711.333312.514.333319.2535.833366.4167




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.




Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. Step 1: Download and install Python on your computer.

Step 2: Open a plaintext editor like Notepad and paste the code below into it.

Step 3: Save the file as "calculate_correlation.py" in a place you will remember, like your desktop. Copy the file location to your clipboard. On Windows, you can right-click the file and click "Properties," and then copy what comes after "Location:" As an example, on my computer the location is "C:\Users\tyler\Desktop"

Step 4: Open a command line window. For example, by pressing start and typing "cmd" and them pressing enter.

Step 5: Install the required modules by typing "pip install numpy", then pressing enter, then typing "pip install scipy", then pressing enter.

Step 6: Navigate to the location where you saved the Python file by using the "cd" command. For example, I would type "cd C:\Users\tyler\Desktop" and push enter.

Step 7: Run the Python script by typing "python calculate_correlation.py"

If you run into any issues, I suggest asking ChatGPT to walk you through installing Python and running the code below on your system. Try this question:

"Walk me through installing Python on my computer to run a script that uses scipy and numpy. Go step-by-step and ask me to confirm before moving on. Start by asking me questions about my operating system so that you know how to proceed. Assume I want the simplest installation with the latest version of Python and that I do not currently have any of the necessary elements installed. Remember to only give me one step per response and confirm I have done it before proceeding."


# These modules make it easier to perform the calculation
import numpy as np
from scipy import stats

# We'll define a function that we can call to return the correlation calculations
def calculate_correlation(array1, array2):

    # Calculate Pearson correlation coefficient and p-value
    correlation, p_value = stats.pearsonr(array1, array2)

    # Calculate R-squared as the square of the correlation coefficient
    r_squared = correlation**2

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([7.0E-5,8.0E-5,9.0E-5,0.0001,0.0001,0.0001,0.0001,0.002,0.008,0.015,0.016,0.014912,0.013917,0.016324,0.107512,0.791843,1.33115,2.17402,])
array_2 = np.array([5,3.25,4.08333,4.08333,4.16667,8.5,5.66667,7.91667,7.66667,9,11.1667,14.1667,11.3333,12.5,14.3333,19.25,35.8333,66.4167,])
array_1_name = "Solar power generated in Argentina"
array_2_name = "Google searches for 'do vaccines work'"

# 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: 1598 · Black Variable ID: 23462 · Red Variable ID: 1433
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