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Spurious correlation #3,392 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is GMO use in corn grown in Illinois and the second variable is Google searches for 'download firefox'.  The chart goes from 2004 to 2023, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The GMO corn in Illinois developed a special telekinetic connection with internet users, subconsciously prompting them to search for browser upgrades. After all, who can resist a-maize-ing technology improvements?

Model: dalle-3
Prompt: [ Concept art ] Depict a bustling, high-tech kitchen in the heart of rural Illinois, where farmers are diligently tending to rows of vibrant, genetically modified corn plants. The kitchen is filled with the warm glow of artificial grow lights and the hum of advanced agricultural machinery. Meanwhile, in a cozy living room nearby, a person is seated on a plush couch, surrounded by an assortment of sugary snacks. They are engrossed in using a modern computer to conduct a late-night web search for "download firefox", their screen casting a soft, ambient glow in the dimly lit room. 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: GMO use in corn grown in Illinois and Google searches for 'download firefox'. 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: Art nouveau Concept art inspired by bauhaus Art nouveau Cute cartoon
ChatGPT: Concept art

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both GMO use in corn grown in Illinois and Google searches for 'download firefox', in the following situation: Increased GMO use in Illinois corn led to a surplus of corn syrup, which caused an increase in the consumption of sugary snacks. This, in turn, led to more computer usage, ultimately resulting in a higher demand for internet browsers like Firefox for late-night snacking web surfing.. Keep the description simple.
ChatGPT: In a busy kitchen in Illinois, farmers are tending to rows of genetically modified corn. Meanwhile, in a cozy living room, a person is seated on a couch, munching on sugary snacks while using a computer to do a late-night web search for "download firefox".

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: [ Concept art ] and depicting this scene: In a busy kitchen in Illinois, farmers are tending to rows of genetically modified corn. Meanwhile, in a cozy living room, a person is seated on a couch, munching on sugary snacks while using a computer to do a late-night web search for "download firefox". Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ Concept art ] Depict a bustling, high-tech kitchen in the heart of rural Illinois, where farmers are diligently tending to rows of vibrant, genetically modified corn plants. The kitchen is filled with the warm glow of artificial grow lights and the hum of advanced agricultural machinery. Meanwhile, in a cozy living room nearby, a person is seated on a plush couch, surrounded by an assortment of sugary snacks. They are engrossed in using a modern computer to conduct a late-night web search for "download firefox", their screen casting a soft, ambient glow in the dimly lit room.

*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 increases in GMO use in corn grown in Illinois positively influenced download firefox (Google searches for 'download firefox'). Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
GMOs and Google: Gauging the Growing Connection in Illinois

Journal of Agriculture and Information Technology

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 researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title an alliteration.

Your research team used data from USDA and Google Trends to assess this nagging question. You found a correlation coefficient of 0.8790538 and p < 0.01 for 2004 to 2023.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The relationship between genetically modified organisms (GMOs) and human behavior has always been a subject of fascination. As technological advancements propel us into the digital age, the unforeseen connections between agricultural practices and online activities have piqued the interest of researchers and scholars worldwide. The fervor surrounding the potential interplay between GMOs and the cyberspace has sparked a corn-ucopia of studies, each endeavoring to uncover the hidden dynamics at play.

As we delve into the realm of agriculture and internet phenomena, we are faced with the tantalizing question: to what extent do GMOs influence our online habits? This study seeks to shed light on the curious correlation between the use of GMOs in corn cultivation within the verdant fields of Illinois, commonly known as the Corn Belt, and the frequency of Google searches for 'download firefox.' Notably, our exploration is not merely a whimsical pursuit of curiosity, but rather a serious attempt to dissect and comprehend the synchronicities between biotechnology and cyber-activity.

This endeavor is not without merits, as it touches upon the fundamental tenets of statistical analysis, scientific inquiry, and the quest to unravel the enigmatic connections in our modern world. Our investigation harbors the potential to cultivate a deeper appreciation of the intricate web of causality that shapes our daily experiences. While some may perceive this study as a quixotic venture into the whimsical, we are resolute in our belief that the results will plant the seeds for broader and more profound revelations.

The pursuit of knowledge is much like tending to a cornfield; it requires patience, precision, and a keen eye for detail. The interconnection between GMOs and internet activity serves as a fertile ground for scientific inquiry, ripe with the promise of yielding a bountiful harvest of insights. With that in mind, let us embark on this scholarly endeavor with a spirit of curiosity and a kernel of humor, for the quest for knowledge need not be devoid of whimsy.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Speak in the present tense for this section (the authors find...), as is common in academic research paper literature reviews. Name the sources in a format similar to this: In "Book," the authors find lorem and ipsum.

Make up the lorem and ipsum part, but make it sound related to the topic at hand.

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then you might move on to cartoons and children's shows that you watched for research.

Here is the title and abstract of the paper:
[[TITLE]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The relationship between genetically modified organisms (GMOs) and human behavior has always been a subject of fascination. As technological advancements propel us into the digital age, the unforeseen connections between agricultural practices and online activities have piqued the interest of researchers and scholars worldwide. The fervor surrounding the potential interplay between GMOs and the cyberspace has sparked a corn-ucopia of studies, each endeavoring to uncover the hidden dynamics at play.
As we delve into the realm of agriculture and internet phenomena, we are faced with the tantalizing question: to what extent do GMOs influence our online habits? This study seeks to shed light on the curious correlation between the use of GMOs in corn cultivation within the verdant fields of Illinois, commonly known as the Corn Belt, and the frequency of Google searches for 'download firefox.' Notably, our exploration is not merely a whimsical pursuit of curiosity, but rather a serious attempt to dissect and comprehend the synchronicities between biotechnology and cyber-activity.
This endeavor is not without merits, as it touches upon the fundamental tenets of statistical analysis, scientific inquiry, and the quest to unravel the enigmatic connections in our modern world. Our investigation harbors the potential to cultivate a deeper appreciation of the intricate web of causality that shapes our daily experiences. While some may perceive this study as a quixotic venture into the whimsical, we are resolute in our belief that the results will plant the seeds for broader and more profound revelations.
The pursuit of knowledge is much like tending to a cornfield; it requires patience, precision, and a keen eye for detail. The interconnection between GMOs and internet activity serves as a fertile ground for scientific inquiry, ripe with the promise of yielding a bountiful harvest of insights. With that in mind, let us embark on this scholarly endeavor with a spirit of curiosity and a kernel of humor, for the quest for knowledge need not be devoid of whimsy.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The initial foray into the obscure links between genetically modified organisms (GMOs) and internet behavior brought forth a wide array of scholarly endeavors, akin to farmers sowing seeds of knowledge in uncharted digital terrain. Smith et al. (2015) delved into the effects of GMOs on agricultural productivity, providing a firm foundation for understanding the technological advancements in crop cultivation. This review laid the groundwork for subsequent studies, akin to the steady growth of cornstalks in the heartland of America. Doe (2017) offered insights into public perception and consumer attitudes toward GMOs, treading through the maze of human apprehensions and opinions about biotechnological advancements in agriculture. These grave and earnest studies were akin to the serious facade of scarecrows guarding the golden fields of research.

Swinging toward the world of non-fiction, Michael Pollan's "The Omnivore's Dilemma" provided a cornucopia of information on modern agricultural practices and their impact on the food industry, while Barbara Kingsolver's "Animal, Vegetable, Miracle" invited readers on a tantalizing journey of mindful eating and farming. However, the plot thickens with the inclusion of fiction works such as Margaret Atwood's "Oryx and Crake," which offered a dystopian glimpse into genetically engineered species, and Daniel Suarez's "Change Agent," wherein GMOs are the harbingers of a transformed civilization.

Venturing further into the realm of pop culture, it became apparent that even animated series like "The Magic School Bus" and "Arthur" offered valuable insights, revealing the influence of biotechnology on the younger generation. As the inquiry expanded, it became evident that the interplay between GMOs and internet activity was anything but corny, carrying a weight and significance that transcended the surface layer of the inquiry.

The dawning realization that the connection between corn-based biotechnology and internet search behavior was more than mere happenstance prompted a shift from stoic inquiry to an acknowledgment of the whimsical and unpredictable nature of the research. Our exploration had unveiled a tangled web of corngenial correlations, culminating in a harvest of knowledge that was ripe for the reaping.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 USDA and Google Trends . You used data from 2004 to 2023

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

[[INTRODUCTION]]
The relationship between genetically modified organisms (GMOs) and human behavior has always been a subject of fascination. As technological advancements propel us into the digital age, the unforeseen connections between agricultural practices and online activities have piqued the interest of researchers and scholars worldwide. The fervor surrounding the potential interplay between GMOs and the cyberspace has sparked a corn-ucopia of studies, each endeavoring to uncover the hidden dynamics at play.
As we delve into the realm of agriculture and internet phenomena, we are faced with the tantalizing question: to what extent do GMOs influence our online habits? This study seeks to shed light on the curious correlation between the use of GMOs in corn cultivation within the verdant fields of Illinois, commonly known as the Corn Belt, and the frequency of Google searches for 'download firefox.' Notably, our exploration is not merely a whimsical pursuit of curiosity, but rather a serious attempt to dissect and comprehend the synchronicities between biotechnology and cyber-activity.
This endeavor is not without merits, as it touches upon the fundamental tenets of statistical analysis, scientific inquiry, and the quest to unravel the enigmatic connections in our modern world. Our investigation harbors the potential to cultivate a deeper appreciation of the intricate web of causality that shapes our daily experiences. While some may perceive this study as a quixotic venture into the whimsical, we are resolute in our belief that the results will plant the seeds for broader and more profound revelations.
The pursuit of knowledge is much like tending to a cornfield; it requires patience, precision, and a keen eye for detail. The interconnection between GMOs and internet activity serves as a fertile ground for scientific inquiry, ripe with the promise of yielding a bountiful harvest of insights. With that in mind, let us embark on this scholarly endeavor with a spirit of curiosity and a kernel of humor, for the quest for knowledge need not be devoid of whimsy.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
Our research commenced with the extensive collection of data from an assortment of sources, ranging from the United States Department of Agriculture (USDA) to the enigmatic depths of Google Trends. The quest for information led us through a labyrinth of agricultural databases and cyberspace indices, navigating through the digital terrain with the adeptness of intrepid explorers charting new frontiers.

Measurement of GMO Use:
To measure the usage of genetically modified organisms (GMOs) in corn cultivation, we calculated the percentage of GMO corn planted in Illinois utilizing data from the USDA over the period of 2004 to 2023. This involved meticulous scrutiny of agricultural reports, corn yield statistics, and the contemplation of the metaphorical cornucopia of genetic variability that characterizes modern crop cultivation.

Assessment of Online Behavior:
Simultaneously, we delved into the digital domain, peering into the esoteric world of internet search behavior. The frequency of Google searches for 'download firefox' was scrutinized, dissected, and perplexingly pondered, invoking the spirit of digital detectives unraveling the mysteries of online curiosity. The ebb and flow of internet queries became the canvas upon which our statistical brush painted a portrait of human interaction with technology and, quite cheekily, potential reflections of GMO influence.

Statistical Analysis:
Our analysis involved the calculation of the correlation coefficient between the usage of GMOs in corn cultivation and the frequency of Google searches for 'download firefox'. Utilizing complex statistical methodologies including pearson correlation, our intention was not to merely crunch numbers, but to uncover the hidden dance between agricultural biotechnology and the cybernetic marvelousness of internet users embarking on a quest for a certain web-browsing browser amidst the virtual cornstalks of vast data fields.

Temporal Analysis:
To comprehend the temporal nuances of this intricate relationship, we conducted a time-series analysis, unraveling the temporal ebbs and flows of GMO use and Google search behavior. This temporal tango invited us to contemplate the ever-evolving nature of both agricultural practices and online proclivities, akin to observing the rhythmic sway of digital stalks being influenced by the unseen hands of genetic modification.

Ethical Considerations (Yes, Research Can Be Fun Too!):
While our research may seem to traverse the realms of whimsy and wonder, we remain vigilant in upholding the highest standards of academic integrity and ethical practice. Though the subject matter might evoke the playful spirit of scientific exploration, our commitment to methodological rigor and scientific sincerity remains unwavering, reminding us that even in the midst of scientific pursuit, there is always room for a kernel of humor and a bushel of enthusiasm.

In conclusion, our methodology was guided by a zealous quest for discovery, as we navigated the convoluted pathways of agricultural databases and the ethereal corridors of internet activity, all the while keeping a watchful eye for unexpected surprises and the impish whispers of statistical significance.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 USDA and Google Trends .

For the time period 2004 to 2023, you found a correlation 0.8790538, r-squared of 0.7727357, 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]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The relationship between genetically modified organisms (GMOs) and human behavior has always been a subject of fascination. As technological advancements propel us into the digital age, the unforeseen connections between agricultural practices and online activities have piqued the interest of researchers and scholars worldwide. The fervor surrounding the potential interplay between GMOs and the cyberspace has sparked a corn-ucopia of studies, each endeavoring to uncover the hidden dynamics at play.
As we delve into the realm of agriculture and internet phenomena, we are faced with the tantalizing question: to what extent do GMOs influence our online habits? This study seeks to shed light on the curious correlation between the use of GMOs in corn cultivation within the verdant fields of Illinois, commonly known as the Corn Belt, and the frequency of Google searches for 'download firefox.' Notably, our exploration is not merely a whimsical pursuit of curiosity, but rather a serious attempt to dissect and comprehend the synchronicities between biotechnology and cyber-activity.
This endeavor is not without merits, as it touches upon the fundamental tenets of statistical analysis, scientific inquiry, and the quest to unravel the enigmatic connections in our modern world. Our investigation harbors the potential to cultivate a deeper appreciation of the intricate web of causality that shapes our daily experiences. While some may perceive this study as a quixotic venture into the whimsical, we are resolute in our belief that the results will plant the seeds for broader and more profound revelations.
The pursuit of knowledge is much like tending to a cornfield; it requires patience, precision, and a keen eye for detail. The interconnection between GMOs and internet activity serves as a fertile ground for scientific inquiry, ripe with the promise of yielding a bountiful harvest of insights. With that in mind, let us embark on this scholarly endeavor with a spirit of curiosity and a kernel of humor, for the quest for knowledge need not be devoid of whimsy.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

In scrutinizing the relationship between the prevalence of genetically modified organisms (GMOs) in Illinois corn cultivation and internet search behavior, our research endeavors bore fruit of an unexpected yet resounding nature. Our analysis revealed a correlation coefficient of 0.8790538, denoting a robust positive relationship between the adoption of GMOs in corn production and the Google searches for 'download firefox'. This finding, coupled with an impressive r-squared value of 0.7727357, elucidates that approximately 77.27% of the variability in 'download firefox' searches can be explained by the adoption of GMOs in corn cultivation in the illustrious state of Illinois.

In terms of statistical significance, our investigation yielded a p-value of less than 0.01, affirming the reliability and validity of the observed correlation. This p-value asserts that the likelihood of obtaining such a strong relationship purely by chance is exceedingly low, lending credence to the notion that the connection between GMOs and internet activity goes beyond happenstance. In other words, the connection we uncovered is more than just a kernel of truth; it's a substantial cobtribution to our understanding of the interplay between agricultural practices and cyber behavior.

Notably, our findings are visually encapsulated in Fig. 1, a scatterplot that provides a candid depiction of the snug fit between the frequency of Google searches for 'download firefox' and the utilization of GMOs in Illinois corn growing. The unmistakable pattern adorned with data points knits together the narrative of this unexpected connection, mirroring the seamless integration of GMOs into the fabric of digital activity.

This discovery reminds us that the internet, much like a hybrid crop, is a complex ecosystem where unexpected correlations and interactions thrive. While some may find our discovery as surprising as stumbling upon a cob on the information superhighway, our results serve as a potent reminder of the interconnectedness of the world we inhabit. In the pursuit of scientific inquiry, we are continually reminded that the most fruitful discoveries often sprout from the unlikeliest of seeds.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

[[LITERATURE REVIEW]]
The initial foray into the obscure links between genetically modified organisms (GMOs) and internet behavior brought forth a wide array of scholarly endeavors, akin to farmers sowing seeds of knowledge in uncharted digital terrain. Smith et al. (2015) delved into the effects of GMOs on agricultural productivity, providing a firm foundation for understanding the technological advancements in crop cultivation. This review laid the groundwork for subsequent studies, akin to the steady growth of cornstalks in the heartland of America. Doe (2017) offered insights into public perception and consumer attitudes toward GMOs, treading through the maze of human apprehensions and opinions about biotechnological advancements in agriculture. These grave and earnest studies were akin to the serious facade of scarecrows guarding the golden fields of research.
Swinging toward the world of non-fiction, Michael Pollan's "The Omnivore's Dilemma" provided a cornucopia of information on modern agricultural practices and their impact on the food industry, while Barbara Kingsolver's "Animal, Vegetable, Miracle" invited readers on a tantalizing journey of mindful eating and farming. However, the plot thickens with the inclusion of fiction works such as Margaret Atwood's "Oryx and Crake," which offered a dystopian glimpse into genetically engineered species, and Daniel Suarez's "Change Agent," wherein GMOs are the harbingers of a transformed civilization.
Venturing further into the realm of pop culture, it became apparent that even animated series like "The Magic School Bus" and "Arthur" offered valuable insights, revealing the influence of biotechnology on the younger generation. As the inquiry expanded, it became evident that the interplay between GMOs and internet activity was anything but corny, carrying a weight and significance that transcended the surface layer of the inquiry.
The dawning realization that the connection between corn-based biotechnology and internet search behavior was more than mere happenstance prompted a shift from stoic inquiry to an acknowledgment of the whimsical and unpredictable nature of the research. Our exploration had unveiled a tangled web of corngenial correlations, culminating in a harvest of knowledge that was ripe for the reaping.

[[RESULTS]]
In scrutinizing the relationship between the prevalence of genetically modified organisms (GMOs) in Illinois corn cultivation and internet search behavior, our research endeavors bore fruit of an unexpected yet resounding nature. Our analysis revealed a correlation coefficient of 0.8790538, denoting a robust positive relationship between the adoption of GMOs in corn production and the Google searches for 'download firefox'. This finding, coupled with an impressive r-squared value of 0.7727357, elucidates that approximately 77.27% of the variability in 'download firefox' searches can be explained by the adoption of GMOs in corn cultivation in the illustrious state of Illinois.
In terms of statistical significance, our investigation yielded a p-value of less than 0.01, affirming the reliability and validity of the observed correlation. This p-value asserts that the likelihood of obtaining such a strong relationship purely by chance is exceedingly low, lending credence to the notion that the connection between GMOs and internet activity goes beyond happenstance. In other words, the connection we uncovered is more than just a kernel of truth; it's a substantial cobtribution to our understanding of the interplay between agricultural practices and cyber behavior.
Notably, our findings are visually encapsulated in Fig. 1, a scatterplot that provides a candid depiction of the snug fit between the frequency of Google searches for 'download firefox' and the utilization of GMOs in Illinois corn growing. The unmistakable pattern adorned with data points knits together the narrative of this unexpected connection, mirroring the seamless integration of GMOs into the fabric of digital activity.
This discovery reminds us that the internet, much like a hybrid crop, is a complex ecosystem where unexpected correlations and interactions thrive. While some may find our discovery as surprising as stumbling upon a cob on the information superhighway, our results serve as a potent reminder of the interconnectedness of the world we inhabit. In the pursuit of scientific inquiry, we are continually reminded that the most fruitful discoveries often sprout from the unlikeliest of seeds.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The revelation of a robust correlation between the prevalence of genetically modified organisms (GMOs) in Illinois corn cultivation and the frequency of Google searches for 'download firefox' opens the door to a burgeoning field of study that melds the rigors of agricultural science with the caprices of online behavior. As we reflect on our findings, the echoes of prior research resonate through the digital landscape, steering us toward a deeper appreciation of the intricate web connecting GMOs and internet activity.

In the annals of scholarly pursuit, the surprising correlation we unearthed between GMO usage and 'download firefox' searches brings to mind the jesting jocularity of the monocle-wearing scarecrows in the academic cornfield of research literature. Just as Michael Pollan sows the seeds of understanding in "The Omnivore's Dilemma," we have harvested a bountiful yield of insight into the complex relationship between biotechnological advancements and the digital domain. Doe's perceptive exploration of public perception is akin to the hushed whisper of cornstalks swaying in the gentle Illinois breeze, guiding us toward an understanding of the human dimensions that intertwine with technological progress.

The remarkable statistical significance of our observed correlation, coupled with the resounding r-squared value, stands as a testament to the veritable bounty reaped from our diligent inquiry. The impressive fit depicted in our scatterplot, akin to the snug embrace of hybrid crop genetics, not only visually encapsulates our discovery but also exemplifies the harmonious convergence of two seemingly disparate phenomena.

As we plow the fertile fields of future inquiry, we are driven to adopt a dynamic approach that acknowledges the nuanced interplay between agricultural practices and online behavior. Our discovery serves as a poignant reminder that the world of science teems with unexpected connections, much like stumbling upon a cob on the information superhighway. It is through diligently tending to the complexities of these intertwined realms that we cultivate a deeper understanding, much like nurturing a genetically modified crop to its full potential.

The unexpected synergy we have unveiled, firmly rooted in statistical rigor yet blossoming with whimsy, invites us to further explore the nexus of agri-digital dynamics. Our inquiry into the interconnectedness of GMOs and internet activity is a poignant reminder that, in the landscape of scientific inquiry, the most fruitful discoveries often sprout from the unlikeliest of seeds, ready to be harvested by the eager hands of academic exploration.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.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 GMO use in corn grown in Illinois and Google searches for 'download firefox'. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
GMOs and Google: Gauging the Growing Connection in Illinois

[[ABSTRACT]]
The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

[[INTRDUCTION]]
The relationship between genetically modified organisms (GMOs) and human behavior has always been a subject of fascination. As technological advancements propel us into the digital age, the unforeseen connections between agricultural practices and online activities have piqued the interest of researchers and scholars worldwide. The fervor surrounding the potential interplay between GMOs and the cyberspace has sparked a corn-ucopia of studies, each endeavoring to uncover the hidden dynamics at play.
As we delve into the realm of agriculture and internet phenomena, we are faced with the tantalizing question: to what extent do GMOs influence our online habits? This study seeks to shed light on the curious correlation between the use of GMOs in corn cultivation within the verdant fields of Illinois, commonly known as the Corn Belt, and the frequency of Google searches for 'download firefox.' Notably, our exploration is not merely a whimsical pursuit of curiosity, but rather a serious attempt to dissect and comprehend the synchronicities between biotechnology and cyber-activity.
This endeavor is not without merits, as it touches upon the fundamental tenets of statistical analysis, scientific inquiry, and the quest to unravel the enigmatic connections in our modern world. Our investigation harbors the potential to cultivate a deeper appreciation of the intricate web of causality that shapes our daily experiences. While some may perceive this study as a quixotic venture into the whimsical, we are resolute in our belief that the results will plant the seeds for broader and more profound revelations.
The pursuit of knowledge is much like tending to a cornfield; it requires patience, precision, and a keen eye for detail. The interconnection between GMOs and internet activity serves as a fertile ground for scientific inquiry, ripe with the promise of yielding a bountiful harvest of insights. With that in mind, let us embark on this scholarly endeavor with a spirit of curiosity and a kernel of humor, for the quest for knowledge need not be devoid of whimsy.

[[RESULTS]]
In scrutinizing the relationship between the prevalence of genetically modified organisms (GMOs) in Illinois corn cultivation and internet search behavior, our research endeavors bore fruit of an unexpected yet resounding nature. Our analysis revealed a correlation coefficient of 0.8790538, denoting a robust positive relationship between the adoption of GMOs in corn production and the Google searches for 'download firefox'. This finding, coupled with an impressive r-squared value of 0.7727357, elucidates that approximately 77.27% of the variability in 'download firefox' searches can be explained by the adoption of GMOs in corn cultivation in the illustrious state of Illinois.
In terms of statistical significance, our investigation yielded a p-value of less than 0.01, affirming the reliability and validity of the observed correlation. This p-value asserts that the likelihood of obtaining such a strong relationship purely by chance is exceedingly low, lending credence to the notion that the connection between GMOs and internet activity goes beyond happenstance. In other words, the connection we uncovered is more than just a kernel of truth; it's a substantial cobtribution to our understanding of the interplay between agricultural practices and cyber behavior.
Notably, our findings are visually encapsulated in Fig. 1, a scatterplot that provides a candid depiction of the snug fit between the frequency of Google searches for 'download firefox' and the utilization of GMOs in Illinois corn growing. The unmistakable pattern adorned with data points knits together the narrative of this unexpected connection, mirroring the seamless integration of GMOs into the fabric of digital activity.
This discovery reminds us that the internet, much like a hybrid crop, is a complex ecosystem where unexpected correlations and interactions thrive. While some may find our discovery as surprising as stumbling upon a cob on the information superhighway, our results serve as a potent reminder of the interconnectedness of the world we inhabit. In the pursuit of scientific inquiry, we are continually reminded that the most fruitful discoveries often sprout from the unlikeliest of seeds.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In gleaning groundbreaking insights from a rich harvest of data, our study unfurls the unexpected connection between genetically modified organisms (GMOs) in Illinois corn cultivation and the frequency of Google searches for 'download firefox.' The robust correlation coefficient of 0.8790538 and the resounding statistical significance affirm the tangled roots between biotechnology and digital behavior. This unearths a kernel of truth that transcends the superficial dichotomy between the cornfield and cyberspace, showing that the tendrils of GMO research can stretch far beyond the soil.

Our study adds a pop of color to the canvas of agricultural and internet phenomena, teasing out the threads that interlace GMO adoption and online pursuits. The entwined nature of these seemingly disparate domains poses a-MAIZE-ing questions, igniting the spark of curiosity and challenging the notion of conventional relationships. Thus, our findings serve as a gentle reminder that beneath the veneer of scientific inquiry lies a whimsical tapestry of intellectual intrigue.

In germinating these revelations, our study sows seeds for contemplation and further examination. We trust that the glimpse we've provided into this curious correlation will provoke minds to ponder, question, and cultivate a finer understanding of the unexpected connections buried within the emerald fields of research. As we bid adieu to this venture, we assert that the depths of this relationship have been plowed, and no further research is needed in this area. And so, in the spirit of scientific inquiry, we encourage all curious minds to keep exploring and uncovering the cornucopia of mysteries that await.


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 GMOs and Google: Gauging the Growing Connection in Illinois. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Agriculture and Information Technology


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 GMOs and Google: Gauging the Growing Connection in Illinois. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Agricultural Technology Advancement and Research (SATAR)


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 GMOs and Google: Gauging the Growing Connection in Illinois with an abstract of The symbiotic relationship between genetically modified organisms (GMOs) and internet search behavior has been long speculated but remained unexplored. In this groundbreaking study, we examine the relationship between the use of GMOs in corn cultivation in Illinois and the frequency of Google searches for 'download firefox'. Through meticulous analysis of USDA crop data and Google search trends from 2004 to 2023, we observed a striking correlation coefficient of 0.8790538 and statistical significance with p < 0.01. Our findings not only illuminate the impact of GMOs on digital activity but also underscore the intriguing interconnectedness of seemingly disparate phenomena. This study prompts further investigation into the unexpected synergy between agricultural practices and online behavior, reminding us that the internet is a-corn-ulated with mysteries waiting to be unearthed.

ChatGPT:

GMOs, genetically modified organisms, corn cultivation, Illinois, internet search behavior, Google search trends, USDA crop data, correlation coefficient, statistical significance, digital activity, agricultural practices, online behavior, GMO impact, internet search patterns

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



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Data details

GMO use in corn grown in Illinois
Detailed data title: Percent of all corn planted in Illinois that is genetically modified to be herbicide-tolerant (HT), but not insect-resistant (Bt)
Source: USDA
See what else correlates with GMO use in corn grown in Illinois

Google searches for 'download firefox'
Detailed data title: Relative volume of Google searches for 'download firefox' (Worldwide, without quotes)
Source: Google Trends
Additional Info: Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'download firefox'

Correlation r = 0.8790538 (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 = 0.7727357 (Coefficient of determination)
This means 77.3% of the change in the one variable (i.e., Google searches for 'download firefox') is predictable based on the change in the other (i.e., GMO use in corn grown in Illinois) over the 20 years from 2004 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.4E-7. 0.0000003363973923648567000000
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 0.88 in 3.4E-5% of random cases. Said differently, if you correlated 2,972,675 random variables You don't actually need 2 million variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 19 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 19 because we have two variables measured over a period of 20 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.

[ 0.71, 0.95 ] 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.
20042005200620072008200920102011201220132014201520162017201820192020202120222023
GMO use in corn grown in Illinois (GMO corn %)561215151515171875444544445
Google searches for 'download firefox' (Rel. search volume)10.7525.666730.333337.2548.083368.833377.416763.833343.166731.752519.83338.583337.833335.583334.666674.8333344.253




Why this works

  1. Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 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([5,6,12,15,15,15,15,17,18,7,5,4,4,4,5,4,4,4,4,5,])
array_2 = np.array([10.75,25.6667,30.3333,37.25,48.0833,68.8333,77.4167,63.8333,43.1667,31.75,25,19.8333,8.58333,7.83333,5.58333,4.66667,4.83333,4,4.25,3,])
array_1_name = "GMO use in corn grown in Illinois"
array_2_name = "Google searches for 'download firefox'"

# 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."

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Correlation ID: 3392 · Black Variable ID: 725 · Red Variable ID: 1397
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