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Spurious correlation #5,127 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air quality in Hilo, Hawaii and the second variable is Google searches for 'avocado toast'.  The chart goes from 2008 to 2023, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the air quality in Hilo improved, so did the local avocados. These superior avocados led to an unprecedented surge in deliciousness, inspiring more people to Google the perfected avocado toast recipes. It's like Hilo said, "Let's avo-cuddle with cleaner air and tastier toast!"

Model: dalle-3
Prompt: prompt: Generate an image in the style of Scalar art that depicts a group of people in Hilo, Hawaii, surrounded by fresh avocado trees. The air is filled with the vibrant aroma of ripe avocados as people gather around, looking at their phones for avocado toast recipes. Capture the delightful atmosphere where cleaner air and delicious avocados have sparked newfound joy in the community. 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: Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. 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: Cyberpunk Oragami a meme Cyber folk Scalar art
ChatGPT: Scalar 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast', in the following situation: As the air quality in Hilo improved, so did the local avocados. These superior avocados led to an unprecedented surge in deliciousness, inspiring more people to Google the perfected avocado toast recipes. It's like Hilo said, "Let's avo-cuddle with cleaner air and tastier toast!". Keep the description simple.
ChatGPT: In Hilo, Hawaii, the air becomes fresher and clearer, with the vibrant aroma of freshly ripened avocados filling the breeze. People gather around, searching on their phones for the best avocado toast recipes, invigorated by the delightful conjunction of improved air quality and delectable avocados. It's a delightful scene as Hilo embraces a newfound love for both cleaner air and tastier toast.

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: [ Scalar art ] and depicting this scene: In Hilo, Hawaii, the air becomes fresher and clearer, with the vibrant aroma of freshly ripened avocados filling the breeze. People gather around, searching on their phones for the best avocado toast recipes, invigorated by the delightful conjunction of improved air quality and delectable avocados. It's a delightful scene as Hilo embraces a newfound love for both cleaner air and tastier toast. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: prompt: Generate an image in the style of Scalar art that depicts a group of people in Hilo, Hawaii, surrounded by fresh avocado trees. The air is filled with the vibrant aroma of ripe avocados as people gather around, looking at their phones for avocado toast recipes. Capture the delightful atmosphere where cleaner air and delicious avocados have sparked newfound joy in the community.

*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 Air quality in Hilo, Hawaii caused avocado toast (Google searches for 'avocado toast') to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

The International Journal of Gastronomical Geoscience

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 silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. Make lots of jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from Environmental Protection Agency and Google Trends to assess this nagging question. You found a correlation coefficient of 0.8879875 and p < 0.01 for 2008 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]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Ladies and gentlemen, hold onto your avocados because we are about to smash through the traditional notions of air quality and culinary cravings. Our study delves into the uncharted territory of the fruity and the fresh, the healthy and the hip, the creamy and the clean - the peculiar relationship between air quality in Hilo, Hawaii and Google searches for the beloved, yet somewhat controversial, avocado toast.

As researchers, we are often accused of being a-peel-ing to puns and wordplay, but let's not pit the seriousness of science against the fun of a good joke. After all, the pursuit of knowledge can indeed be as smooth as ripe avocado or as crunchy as whole grain toast. In this quest for understanding, we have dared to ask the question: Could the purity of the Hawaiian air be seeping into the global consciousness, ultimately influencing online pursuits of culinary delight?

Some may think that connecting air quality with avocado toast is as unlikely as finding ripe avocados on sale during a heatwave, yet here we are, ready to put our findings on toast - err...on the table.

Before we dive into the meat - or rather, spread - of our research, it's worth acknowledging the skepticism that may have initially greased the wheels of our investigation. "Avocado toast and air quality? Well, that's not the ripest topic," they may have said, "What's next, studying the impact of unicorn sightings on global carbon emissions?" But as the saying goes, "Don't knock it until you've smushed it on artisanal bread and sprinkled it with a hint of pink Himalayan salt."

Now, with all the joking aside, it's important to acknowledge the serious implications of our study. Understanding how environmental factors might influence consumer behavior could have broader implications for public health, marketing strategies, and perhaps even climate change mitigation efforts. So, join us as we venture into the world of unlikely correlations, statistical shenanigans, and maybe just a few slices of humor. Grab a slice of your favorite avocado toast, take a deep breath of clean air, and let's dive into the guacward intersection of science, culinary culture, and the unseen forces that link them together.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. 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 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]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Ladies and gentlemen, hold onto your avocados because we are about to smash through the traditional notions of air quality and culinary cravings. Our study delves into the uncharted territory of the fruity and the fresh, the healthy and the hip, the creamy and the clean - the peculiar relationship between air quality in Hilo, Hawaii and Google searches for the beloved, yet somewhat controversial, avocado toast.
As researchers, we are often accused of being a-peel-ing to puns and wordplay, but let's not pit the seriousness of science against the fun of a good joke. After all, the pursuit of knowledge can indeed be as smooth as ripe avocado or as crunchy as whole grain toast. In this quest for understanding, we have dared to ask the question: Could the purity of the Hawaiian air be seeping into the global consciousness, ultimately influencing online pursuits of culinary delight?
Some may think that connecting air quality with avocado toast is as unlikely as finding ripe avocados on sale during a heatwave, yet here we are, ready to put our findings on toast - err...on the table.
Before we dive into the meat - or rather, spread - of our research, it's worth acknowledging the skepticism that may have initially greased the wheels of our investigation. "Avocado toast and air quality? Well, that's not the ripest topic," they may have said, "What's next, studying the impact of unicorn sightings on global carbon emissions?" But as the saying goes, "Don't knock it until you've smushed it on artisanal bread and sprinkled it with a hint of pink Himalayan salt."
Now, with all the joking aside, it's important to acknowledge the serious implications of our study. Understanding how environmental factors might influence consumer behavior could have broader implications for public health, marketing strategies, and perhaps even climate change mitigation efforts. So, join us as we venture into the world of unlikely correlations, statistical shenanigans, and maybe just a few slices of humor. Grab a slice of your favorite avocado toast, take a deep breath of clean air, and let's dive into the guacward intersection of science, culinary culture, and the unseen forces that link them together.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The existing literature on air quality and its impact on human behavior presents a diverse array of studies and findings. Smith et al. (2015) investigated the relationship between air pollution and food preferences, finding a positive correlation between increased air pollution and a preference for processed and fatty foods. Conversely, Doe and Jones (2017) explored the influence of air quality on physical activity levels, highlighting a negative association between poor air quality and outdoor exercise. While these studies provide valuable insights into the broader impact of environmental factors on human behavior, none have ventured into the niche realm of avocado toast cravings.

However, as we move beyond the traditional scope of air quality research, it is necessary to consider interdisciplinary perspectives that may shed light on the unexpected connection we have uncovered. In "The Air We Breathe: A Comprehensive Analysis of Environmental Influences on Human Behavior," Lorem and Ipsum (2019) delve into the intricate web of environmental stimuli and its potential effects on consumer choices. Although their focus remains on broader consumer behavior trends, their work prompts us to contemplate the role of air quality in shaping specific culinary preferences.

Expanding our purview further, "The Life-Changing Magic of Tidying Up: The Japanese Art of Decluttering and Organizing" by Marie Kondo offers a unique perspective on the influence of external environments on internal desires. While Kondo's expertise lies in tidying up physical spaces, her philosophy extends to the mental and emotional impact of environmental surroundings. Could it be that the pristine air of Hilo, Hawaii is sparking an internal desire for a well-organized and visually appealing breakfast, thereby manifesting in the form of avocado toast cravings? Perhaps a stretch, but a ripe possibility nonetheless.

Turning to the realm of fiction, "The Avocado War" by Terry Mars narrates a whimsical tale of rival avocado farmers and their quirky pursuits to dominate the avocado market. While a work of fiction, the playful exploration of avocado-related themes prompts us to consider the cultural significance and allure of this beloved fruit. How might such narratives influence societal perceptions of avocados and, perhaps, subconsciously impact search trends for avocado toast in correlation with environmental factors?

As our investigation delves deeper into unexpected associations, we acknowledge the unconventional sources that have shaped our understanding of this peculiar phenomenon. Drawing inspiration from diverse mediums, including cartoons and children's shows such as "Adventure Time" and "SpongeBob SquarePants," we have embraced a lighthearted approach to exploring the interplay of air quality and culinary cravings. After all, in the world of scientific inquiry, a dash of whimsy can sometimes lead to the ripest discoveries.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Google Trends . You used data from 2008 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]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

[[INTRODUCTION]]
Ladies and gentlemen, hold onto your avocados because we are about to smash through the traditional notions of air quality and culinary cravings. Our study delves into the uncharted territory of the fruity and the fresh, the healthy and the hip, the creamy and the clean - the peculiar relationship between air quality in Hilo, Hawaii and Google searches for the beloved, yet somewhat controversial, avocado toast.
As researchers, we are often accused of being a-peel-ing to puns and wordplay, but let's not pit the seriousness of science against the fun of a good joke. After all, the pursuit of knowledge can indeed be as smooth as ripe avocado or as crunchy as whole grain toast. In this quest for understanding, we have dared to ask the question: Could the purity of the Hawaiian air be seeping into the global consciousness, ultimately influencing online pursuits of culinary delight?
Some may think that connecting air quality with avocado toast is as unlikely as finding ripe avocados on sale during a heatwave, yet here we are, ready to put our findings on toast - err...on the table.
Before we dive into the meat - or rather, spread - of our research, it's worth acknowledging the skepticism that may have initially greased the wheels of our investigation. "Avocado toast and air quality? Well, that's not the ripest topic," they may have said, "What's next, studying the impact of unicorn sightings on global carbon emissions?" But as the saying goes, "Don't knock it until you've smushed it on artisanal bread and sprinkled it with a hint of pink Himalayan salt."
Now, with all the joking aside, it's important to acknowledge the serious implications of our study. Understanding how environmental factors might influence consumer behavior could have broader implications for public health, marketing strategies, and perhaps even climate change mitigation efforts. So, join us as we venture into the world of unlikely correlations, statistical shenanigans, and maybe just a few slices of humor. Grab a slice of your favorite avocado toast, take a deep breath of clean air, and let's dive into the guacward intersection of science, culinary culture, and the unseen forces that link them together.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To peel back the layers of this guacward connection, our research team harnessed the power of both virtual and physical data sources. As all good researchers know, sometimes in the pursuit of knowledge, one must courageously dive into the depths of the internet, armed only with a Wi-Fi connection and a strong sense of purpose.

First and foremost, we gathered air quality data from the Environmental Protection Agency (EPA) for the charming town of Hilo, Hawaii. Now, you might be wondering how we managed to get our hands on this un-air-f--ir data, but fear not, we followed all the proper procedures – no air heists were involved. The EPA provided us with comprehensive data on key air pollutants, such as ozone, particulate matter, and carbon monoxide, from 2008 to 2023. Not to burst anyone's bubble, but analyzing air quality data can be a breath of fresh air, especially when it involves exploring the correlation with millennial food trends.

Next, we ventured into the world of virtual cravings by turning to the search engine giant – Google. We utilized Google Trends to track the global interest in avocado toast over the same time period. The logic here is as plain as an untoasted piece of bread – the more searches for avocado toast, the higher the interest in this trendy dish. Remember, in the world of online searches, it's all about avoIding the pit-falls of misleading data.

Now, our data analysis involved more twists and turns than trying to unscrew a stubborn jar of avocado mayo. We utilized advanced statistical methods, including Pearson correlation coefficients and regression analyses, to unearth any potential relationship between air quality and avocado toast searches. Our statistical methods were sound enough to withstand the scrutiny of even the most avoCYNical critics.

Lastly, to control for confounding variables, such as overall internet usage, seasonality, and other potential influencers of avocado toast cravings, we performed numerous sensitivity analyses. This process was about as challenging as perfectly timing the ripeness of an avocado, but we managed to slice through the data with precision, ensuring that our findings were as ripe as – well, an avocado on toast.

So, armed with data, statistical grit, and a healthy dose of skepticism, we set out to uncover the relationship between air quality in Hilo, Hawaii and the omnipresent allure of avocado toast. Our methods were as robust as a well-built avocado toast, and we invite others to replicate our study to squash any doubts – unless, of course, they prefer keeping their research endeavors avoCADO-laden with uncertainty.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Google Trends .

For the time period 2008 to 2023, you found a correlation 0.8879875, r-squared of 0.7885217, 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]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Ladies and gentlemen, hold onto your avocados because we are about to smash through the traditional notions of air quality and culinary cravings. Our study delves into the uncharted territory of the fruity and the fresh, the healthy and the hip, the creamy and the clean - the peculiar relationship between air quality in Hilo, Hawaii and Google searches for the beloved, yet somewhat controversial, avocado toast.
As researchers, we are often accused of being a-peel-ing to puns and wordplay, but let's not pit the seriousness of science against the fun of a good joke. After all, the pursuit of knowledge can indeed be as smooth as ripe avocado or as crunchy as whole grain toast. In this quest for understanding, we have dared to ask the question: Could the purity of the Hawaiian air be seeping into the global consciousness, ultimately influencing online pursuits of culinary delight?
Some may think that connecting air quality with avocado toast is as unlikely as finding ripe avocados on sale during a heatwave, yet here we are, ready to put our findings on toast - err...on the table.
Before we dive into the meat - or rather, spread - of our research, it's worth acknowledging the skepticism that may have initially greased the wheels of our investigation. "Avocado toast and air quality? Well, that's not the ripest topic," they may have said, "What's next, studying the impact of unicorn sightings on global carbon emissions?" But as the saying goes, "Don't knock it until you've smushed it on artisanal bread and sprinkled it with a hint of pink Himalayan salt."
Now, with all the joking aside, it's important to acknowledge the serious implications of our study. Understanding how environmental factors might influence consumer behavior could have broader implications for public health, marketing strategies, and perhaps even climate change mitigation efforts. So, join us as we venture into the world of unlikely correlations, statistical shenanigans, and maybe just a few slices of humor. Grab a slice of your favorite avocado toast, take a deep breath of clean air, and let's dive into the guacward intersection of science, culinary culture, and the unseen forces that link them together.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our analysis of the data from 2008 to 2023 revealed a substantial correlation between air quality in Hilo, Hawaii and Google searches for avocado toast. The correlation coefficient was calculated at 0.8879875, with an r-squared of 0.7885217 and a p-value less than 0.01, indicating a strong and significant relationship between the two variables. The results were so surprising, we had to avoca-don't believe it at first, but the numbers don't lie - there's something in the air that's driving people to search for avocado toast!

The scatterplot in Figure 1 illustrates the undeniable connection, showing a clear trend of increased avocado toast searches as air quality improves. It's as if the cleaner the air, the more people crave that creamy green goodness on their toast. This correlation is so ripe for exploration, it makes you wonder if we should start measuring air quality in "avocado toast units" or if there's a new "avocado index" on the horizon!

We can't help but marvel at the unexpected repercussions of this discovery – maybe we should all start using air purifiers to not only breathe better but also satisfy our avocado toast cravings. It's a win-win for both our lungs and our taste buds! So the next time you're in a brunch rut, consider stepping outside for some fresh air, or better yet, taking a trip to Hilo for the ultimate avocado toast experience.

In conclusion, our findings present a tantalizing prospect for future research into the intersection of environmental factors and culinary preferences, challenging traditional assumptions about what drives our food choices. As we continue to delve deeper into the deliciously quirky world of "avoca-data" analysis, there's no telling what other unexpected relationships we might uncover. After all, in the world of science and statistics, there's always room for a little more guacwardness!


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

[[LITERATURE REVIEW]]
The existing literature on air quality and its impact on human behavior presents a diverse array of studies and findings. Smith et al. (2015) investigated the relationship between air pollution and food preferences, finding a positive correlation between increased air pollution and a preference for processed and fatty foods. Conversely, Doe and Jones (2017) explored the influence of air quality on physical activity levels, highlighting a negative association between poor air quality and outdoor exercise. While these studies provide valuable insights into the broader impact of environmental factors on human behavior, none have ventured into the niche realm of avocado toast cravings.
However, as we move beyond the traditional scope of air quality research, it is necessary to consider interdisciplinary perspectives that may shed light on the unexpected connection we have uncovered. In "The Air We Breathe: A Comprehensive Analysis of Environmental Influences on Human Behavior," Lorem and Ipsum (2019) delve into the intricate web of environmental stimuli and its potential effects on consumer choices. Although their focus remains on broader consumer behavior trends, their work prompts us to contemplate the role of air quality in shaping specific culinary preferences.
Expanding our purview further, "The Life-Changing Magic of Tidying Up: The Japanese Art of Decluttering and Organizing" by Marie Kondo offers a unique perspective on the influence of external environments on internal desires. While Kondo's expertise lies in tidying up physical spaces, her philosophy extends to the mental and emotional impact of environmental surroundings. Could it be that the pristine air of Hilo, Hawaii is sparking an internal desire for a well-organized and visually appealing breakfast, thereby manifesting in the form of avocado toast cravings? Perhaps a stretch, but a ripe possibility nonetheless.
Turning to the realm of fiction, "The Avocado War" by Terry Mars narrates a whimsical tale of rival avocado farmers and their quirky pursuits to dominate the avocado market. While a work of fiction, the playful exploration of avocado-related themes prompts us to consider the cultural significance and allure of this beloved fruit. How might such narratives influence societal perceptions of avocados and, perhaps, subconsciously impact search trends for avocado toast in correlation with environmental factors?
As our investigation delves deeper into unexpected associations, we acknowledge the unconventional sources that have shaped our understanding of this peculiar phenomenon. Drawing inspiration from diverse mediums, including cartoons and children's shows such as "Adventure Time" and "SpongeBob SquarePants," we have embraced a lighthearted approach to exploring the interplay of air quality and culinary cravings. After all, in the world of scientific inquiry, a dash of whimsy can sometimes lead to the ripest discoveries.

[[RESULTS]]
Our analysis of the data from 2008 to 2023 revealed a substantial correlation between air quality in Hilo, Hawaii and Google searches for avocado toast. The correlation coefficient was calculated at 0.8879875, with an r-squared of 0.7885217 and a p-value less than 0.01, indicating a strong and significant relationship between the two variables. The results were so surprising, we had to avoca-don't believe it at first, but the numbers don't lie - there's something in the air that's driving people to search for avocado toast!
The scatterplot in Figure 1 illustrates the undeniable connection, showing a clear trend of increased avocado toast searches as air quality improves. It's as if the cleaner the air, the more people crave that creamy green goodness on their toast. This correlation is so ripe for exploration, it makes you wonder if we should start measuring air quality in "avocado toast units" or if there's a new "avocado index" on the horizon!
We can't help but marvel at the unexpected repercussions of this discovery – maybe we should all start using air purifiers to not only breathe better but also satisfy our avocado toast cravings. It's a win-win for both our lungs and our taste buds! So the next time you're in a brunch rut, consider stepping outside for some fresh air, or better yet, taking a trip to Hilo for the ultimate avocado toast experience.
In conclusion, our findings present a tantalizing prospect for future research into the intersection of environmental factors and culinary preferences, challenging traditional assumptions about what drives our food choices. As we continue to delve deeper into the deliciously quirky world of "avoca-data" analysis, there's no telling what other unexpected relationships we might uncover. After all, in the world of science and statistics, there's always room for a little more guacwardness!

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study has revealed a surprisingly strong relationship between air quality in Hilo, Hawaii and the Google searches for avocado toast, shedding light on the guacward interplay between environmental factors and culinary cravings. Building on the literature review, our results not only support the existing research on the impact of air quality on human behavior but also unearth a ripe niche in the form of avocado toast cravings.

First, let's avoca-explore the potential mechanisms behind this correlation. The correlation between air quality and food choices has been well-documented, with previous studies hinting at the influence of environmental stimuli on consumer preferences. Our findings support the notion that cleaner air may subconsciously prompt individuals to seek out fresher and healthier food options. It's as if the oxygen-rich environment in Hilo is cultivating a taste for the green goodness of avocados. Perhaps this phenomenon could even be labeled as "aerovore" behavior – craving foods influenced by the quality of the air we breathe.

Drawing from the lighthearted approach in the literature review, we can't help but appreciate the avoca-humor in considering the potential practical implications of our findings. Should air quality indices be updated to include an "avocado toast satisfaction factor"? Or might urban planners start factoring in avocado toast search data when designing public spaces to promote healthier eating habits? While these notions might seem as fruity as a ripe avocado, they reflect the guac-tastic potential for our research to inspire unconventional yet innovative solutions in environmental and public health initiatives.

Moreover, our results pose an interesting question: Could the association between air quality and avocado toast searches be indicative of a broader trend in consumer behavior? If a preference for avocado toast is influenced by air quality, what does this imply for other food trends and environmental factors? It seems we've opened a can of avo-worms that invites further exploration into the nuances of how our surroundings shape our culinary desires.

In the world of research, our study emphasizes the importance of embracing a whimsical approach to uncovering unexpected relationships that may initially seem as far-fetched as finding a ripe avocado on a barren tree. As we continue to peel back the layers of this guacward connection, one thing is certain – the interplay between air quality and avocado toast searches may just be the tip of the guacamole iceberg. With a bit of scientific curiosity and a dash of humor, we might unearth even more surprising connections, making the pursuit of knowledge as delightfully unpredictable as finding that perfect, ripe avocado!


Model: gpt-3.5-turbo-1106
System prompt: You are a silly 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 Air quality in Hilo, Hawaii and Google searches for 'avocado toast'. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches

[[ABSTRACT]]
In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

[[INTRDUCTION]]
Ladies and gentlemen, hold onto your avocados because we are about to smash through the traditional notions of air quality and culinary cravings. Our study delves into the uncharted territory of the fruity and the fresh, the healthy and the hip, the creamy and the clean - the peculiar relationship between air quality in Hilo, Hawaii and Google searches for the beloved, yet somewhat controversial, avocado toast.
As researchers, we are often accused of being a-peel-ing to puns and wordplay, but let's not pit the seriousness of science against the fun of a good joke. After all, the pursuit of knowledge can indeed be as smooth as ripe avocado or as crunchy as whole grain toast. In this quest for understanding, we have dared to ask the question: Could the purity of the Hawaiian air be seeping into the global consciousness, ultimately influencing online pursuits of culinary delight?
Some may think that connecting air quality with avocado toast is as unlikely as finding ripe avocados on sale during a heatwave, yet here we are, ready to put our findings on toast - err...on the table.
Before we dive into the meat - or rather, spread - of our research, it's worth acknowledging the skepticism that may have initially greased the wheels of our investigation. "Avocado toast and air quality? Well, that's not the ripest topic," they may have said, "What's next, studying the impact of unicorn sightings on global carbon emissions?" But as the saying goes, "Don't knock it until you've smushed it on artisanal bread and sprinkled it with a hint of pink Himalayan salt."
Now, with all the joking aside, it's important to acknowledge the serious implications of our study. Understanding how environmental factors might influence consumer behavior could have broader implications for public health, marketing strategies, and perhaps even climate change mitigation efforts. So, join us as we venture into the world of unlikely correlations, statistical shenanigans, and maybe just a few slices of humor. Grab a slice of your favorite avocado toast, take a deep breath of clean air, and let's dive into the guacward intersection of science, culinary culture, and the unseen forces that link them together.

[[RESULTS]]
Our analysis of the data from 2008 to 2023 revealed a substantial correlation between air quality in Hilo, Hawaii and Google searches for avocado toast. The correlation coefficient was calculated at 0.8879875, with an r-squared of 0.7885217 and a p-value less than 0.01, indicating a strong and significant relationship between the two variables. The results were so surprising, we had to avoca-don't believe it at first, but the numbers don't lie - there's something in the air that's driving people to search for avocado toast!
The scatterplot in Figure 1 illustrates the undeniable connection, showing a clear trend of increased avocado toast searches as air quality improves. It's as if the cleaner the air, the more people crave that creamy green goodness on their toast. This correlation is so ripe for exploration, it makes you wonder if we should start measuring air quality in "avocado toast units" or if there's a new "avocado index" on the horizon!
We can't help but marvel at the unexpected repercussions of this discovery – maybe we should all start using air purifiers to not only breathe better but also satisfy our avocado toast cravings. It's a win-win for both our lungs and our taste buds! So the next time you're in a brunch rut, consider stepping outside for some fresh air, or better yet, taking a trip to Hilo for the ultimate avocado toast experience.
In conclusion, our findings present a tantalizing prospect for future research into the intersection of environmental factors and culinary preferences, challenging traditional assumptions about what drives our food choices. As we continue to delve deeper into the deliciously quirky world of "avoca-data" analysis, there's no telling what other unexpected relationships we might uncover. After all, in the world of science and statistics, there's always room for a little more guacwardness!

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

As we wrap up our guacward journey through the realms of air quality and avocado toast, we cannot help but marvel at the surreal, yet undeniably ripe, connection we've uncovered. It seems that the crisp, clean air of Hilo, Hawaii is not just a breath of fresh air for our lungs, but also a trigger for cravings of the creamy green goodness that is avocado toast. Our findings suggest that there's more than just oxygen and nitrogen in the air – there's a hint of avocado-euphoria that wafts through the troposphere and into our search engines.

The statistical shenanigans we've encountered during this research have been nothing short of avoca-dorable! From calculating correlation coefficients to pondering the implications of "avocado toast units," we've taken science to the brunch table and swirled it around like a perfectly ripe avocado in the palm of our hands. As for the p-value, we can confidently declare that the p stands for "perpetually amazed by the power of produce."

Now, some may argue that our findings are as surprising as finding a perfectly ripe avocado at the grocery store – a rare and wondrous event. However, as we delve into the depths of data and delve into the deliciously quirky world of "avoca-data" analysis, we must recognize that this study is as ripe as it gets, and perhaps, it's time to spread a little more scientific guacwardness in the world of research. Our results may beg the question: Should we incorporate avocado toast into the standard of air quality measurement? Maybe it's time for a new avocado-based air purifier to keep our lungs and our taste buds happy.

In light of these pun-derful discoveries, we assert that no further research is needed in this area. After all, the data has spoken – the link between air quality in Hilo, Hawaii and Google searches for avocado toast is as real as the pit in the center of an avocado! So as we bid adieu to this delightful intersection of culinary culture and environmental factors, we hope our research has added a sprinkle of humor to the world of academia and illuminated the unexpected connections that can emerge when we peel back the layers of seemingly unrelated variables. Cheers to the avoca-data and the delightful absurdity it reveals!


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 Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches. Respond only with the name of a fictional academic journal.

ChatGPT:

The International Journal of Gastronomical Geoscience


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 Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches. Respond only with the name of a fictional organization.

ChatGPT:

Hawaiian Environmental Wellness Institute


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Smashing Avocado Toast: A Guacward Connection Between Air Quality in Hilo, Hawaii and Google Searches with an abstract of In this paper, we peel back the layers of a seemingly unrelated relationship between air quality in Hilo, Hawaii and the Google searches for everyone's favorite brunch item - avocado toast. Using data from the Environmental Protection Agency to gauge air quality and Google Trends to track the popularity of avocado toast searches, we have uncovered a ripe connection ripe for the picking. The results reveal a significant correlation coefficient of 0.8879875 and p < 0.01 from 2008 to 2023, indicating that the cleaner the air in Hilo, the more people crave avocado toast. Whether it's the oxygen-rich environment or a desire for something fresh and green, this unexpected correlation lends itself to a fruitful discussion on the potential impact of environmental factors on culinary cravings. Our findings may help shed light on the intrinsic link between healthy living and trendy food choices. So next time you're enjoying avocado toast, remember, it's not just about mashing avocados - the air you breathe might just be impacting your brunch decisions!

ChatGPT:

"air quality Hilo Hawaii," "Google Trends avocado toast," "correlation coefficient environmental factors culinary cravings," "impact of air quality on food choices," "relationship between air quality and avocado toast searches," "environmental impact on food cravings," "culinary trends and environmental factors," "avocado toast popularity"

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



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Data details

Air quality in Hilo, Hawaii
Detailed data title: Percentage of days with good air quality in Hilo, HI
Source: Environmental Protection Agency
See what else correlates with Air quality in Hilo, Hawaii

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

See what else correlates with Google searches for 'avocado toast'

Correlation r = 0.8879875 (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 = 0.7885217 (Coefficient of determination)
This means 78.9% of the change in the one variable (i.e., Google searches for 'avocado toast') is predictable based on the change in the other (i.e., Air quality in Hilo, Hawaii) over the 16 years from 2008 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.4E-6. 0.0000043908592564233420000000
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 0.89 in 0.00044% of random cases. Said differently, if you correlated 227,746 random variables You don't actually need 227 thousand 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 15 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 15 because we have two variables measured over a period of 16 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.

[ 0.7, 0.96 ] 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.
2008200920102011201220132014201520162017201820192020202120222023
Air quality in Hilo, Hawaii (Good air quality)0.1057690.1753420.0904110.4356160.1420770.2219180.4385470.1917810.06010930.4493150.5479450.9890410.975410.9808220.9835620.973451
Google searches for 'avocado toast' (Rel. search volume)0.3750.40.83333311.083332.55.1666712.252442.25495672.7565.2559.916755




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([0.105769,0.175342,0.090411,0.435616,0.142077,0.221918,0.438547,0.191781,0.0601093,0.449315,0.547945,0.989041,0.97541,0.980822,0.983562,0.973451,])
array_2 = np.array([0.375,0.4,0.833333,1,1.08333,2.5,5.16667,12.25,24,42.25,49,56,72.75,65.25,59.9167,55,])
array_1_name = "Air quality in Hilo, Hawaii"
array_2_name = "Google searches for 'avocado toast'"

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

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



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For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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Correlation ID: 5127 · Black Variable ID: 21927 · Red Variable ID: 1422
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