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Spurious correlation #5,905 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Frozen yogurt consumption and the second variable is Violent crime rates.  The chart goes from 1990 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As Frozen yogurt consumption decreased, people's brains were no longer chilled to the point of committing heinous acts, leading to a decrease in violent crime rates. The lack of fro-yo-induced inner peace and tranquility meant that individuals were too busy mourning the absence of delicious, creamy goodness to engage in acts of aggression. This sparked a nationwide movement of peaceful protests, where instead of fighting, people hugged it out while licking imaginary cones of their favorite fro-yo flavors. It turns out, the real spooning happened as a form of therapy, and the only things getting whipped were toppings on a swirl of non-violence. In the end, the only thing that was iced out was an entire criminal element, as society collectively realized that the true spoonful of justice was the one they didn’t take from the fro-yo shop.

Model: dalle-3
Prompt: Generate an image of a serene park filled with vibrant shades of pinks, purples, and blues in a Vaporwave style. In the forefront, a group of people is gathered, each holding brightly colored signs promoting peace and non-violence. Their faces and clothing radiate a pastel glow, and warm smiles adorn their faces as they embrace each other in a heartwarming display of unity and camaraderie. As they hold their imaginary frozen yogurt cones, the gentle hues of the surroundings give off a surreal and dream-like effect. Throughout the park, the decline in violent crime rates is symbolized by the absence of any negative energy, visible through the general tranquility, and contentment of the scene. 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: Frozen yogurt consumption and Violent crime rates. 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: inspired by bauhaus An image that looks like it is a scene from A Disney Movie Glitch art Glitch art Vaporwave
ChatGPT: Vaporwave

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 Frozen yogurt consumption and Violent crime rates, in the following situation: As Frozen yogurt consumption decreased, people's brains were no longer chilled to the point of committing heinous acts, leading to a decrease in violent crime rates. The lack of fro-yo-induced inner peace and tranquility meant that individuals were too busy mourning the absence of delicious, creamy goodness to engage in acts of aggression. This sparked a nationwide movement of peaceful protests, where instead of fighting, people hugged it out while licking imaginary cones of their favorite fro-yo flavors. It turns out, the real spooning happened as a form of therapy, and the only things getting whipped were toppings on a swirl of non-violence. In the end, the only thing that was iced out was an entire criminal element, as society collectively realized that the true spoonful of justice was the one they didn’t take from the fro-yo shop.. Keep the description simple.
ChatGPT: A group of people gathered in a serene park, holding colorful signs promoting peace and non-violence. They hugged each other warmly, with smiles on their faces, as they indulged in imaginary frozen yogurt cones. The air was filled with a sense of unity and understanding, as people came together to celebrate the soothing power of frozen yogurt, and the decline in violent crime rates was evident.

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: [ Vaporwave ] and depicting this scene: A group of people gathered in a serene park, holding colorful signs promoting peace and non-violence. They hugged each other warmly, with smiles on their faces, as they indulged in imaginary frozen yogurt cones. The air was filled with a sense of unity and understanding, as people came together to celebrate the soothing power of frozen yogurt, and the decline in violent crime rates was evident. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a serene park filled with vibrant shades of pinks, purples, and blues in a Vaporwave style. In the forefront, a group of people is gathered, each holding brightly colored signs promoting peace and non-violence. Their faces and clothing radiate a pastel glow, and warm smiles adorn their faces as they embrace each other in a heartwarming display of unity and camaraderie. As they hold their imaginary frozen yogurt cones, the gentle hues of the surroundings give off a surreal and dream-like effect. Throughout the park, the decline in violent crime rates is symbolized by the absence of any negative energy, visible through the general tranquility, and contentment of the scene.

*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 a decrease in Frozen yogurt consumption caused Violent crime rates to decrease.

AI academic paper

(Because p < 0.01)
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

The International Journal of Criminology and Frozen Treats Research

Jan 2024

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




Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. Make lots of jokes, goofy observations, and puns.

Make the title seem clever.

Your research team used data from USDA and FBI Criminal Justice Information Services to assess this nagging question. You found a correlation coefficient of 0.9466665 and p < 0.01 for 1990 to 2021.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. 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]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The peculiar relationship between frozen yogurt consumption and violent crime rates has been a topic of great interest and debate among both criminologists and dessert enthusiasts. While one might assume that the only danger associated with frozen yogurt is brain freeze, our study sought to unravel the enigmatic connection between this delectable dairy confection and criminal behavior. Despite the seemingly unrelated nature of these two variables, our investigation aims to scoop out any potential correlations that may exist between them.

As we delve into this frosty enigma, it is important to acknowledge the deeply ingrained statistical and methodological challenges inherent in such an endeavor. We recognize that ice cream-paring these seemingly unrelated variables may be met with skepticism, but we assure you that our approach has been anything but half-baked. Our analysis is grounded in rigorous statistical methods and a scrutinous examination of the data, ensuring that our findings are as firm as a well-chilled scoop of frozen yogurt.

The landscape of previous research in this area resembles a mystery parfait, with layers of conflicting findings and curious inconsistencies waiting to be unearthed. While some studies have suggested that frozen yogurt consumption may have a calming effect, others have proposed that its icy grip could potentially unleash the inner criminal impulses. As we embark on this chilly journey, we aim to shed light on this intriguing paradox, separating fact from fro-yo fiction.

The gravity of our investigation cannot be overstated; after all, we are dealing with crime rates and frozen desserts – a rather chilling combination, if you ask us. Our analysis, encompassing data from 1990 to 2021, aims to uncover the sorbet subtleties that may underpin this unexpected association. Through the utilization of sophisticated statistical methods and a flavor-packed dataset from the USDA and the FBI Criminal Justice Information Services, we aim to cast a frozen gaze on this intriguing intersection of creamy indulgence and criminal behavior.

The implications of our findings, should they reveal a strong association, would be as significant as finding a fly in one's frozen treat – unexpected, unsettling, and potentially altering our understanding of causality in the freeze of criminal behavior. So, let’s grab our spoons and dive into this gelato of mystery, ready to unearth the unexpected connections that lie beneath the surface of seemingly disparate variables.

In this paper, we present our exploratory analysis of the frozen yogurt-fueled phenomenon and its potential impact on violent crime rates. Our findings aim to challenge preconceived notions and potentially sweeten the discourse on crime prevention strategies. So, join us as we embark on this frosty quest, where the only thing we’re certain of is that the data will be served with a generous sprinkling of statistical puns and cold, hard facts.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The peculiar relationship between frozen yogurt consumption and violent crime rates has been a topic of great interest and debate among both criminologists and dessert enthusiasts. While one might assume that the only danger associated with frozen yogurt is brain freeze, our study sought to unravel the enigmatic connection between this delectable dairy confection and criminal behavior. Despite the seemingly unrelated nature of these two variables, our investigation aims to scoop out any potential correlations that may exist between them.
As we delve into this frosty enigma, it is important to acknowledge the deeply ingrained statistical and methodological challenges inherent in such an endeavor. We recognize that ice cream-paring these seemingly unrelated variables may be met with skepticism, but we assure you that our approach has been anything but half-baked. Our analysis is grounded in rigorous statistical methods and a scrutinous examination of the data, ensuring that our findings are as firm as a well-chilled scoop of frozen yogurt.
The landscape of previous research in this area resembles a mystery parfait, with layers of conflicting findings and curious inconsistencies waiting to be unearthed. While some studies have suggested that frozen yogurt consumption may have a calming effect, others have proposed that its icy grip could potentially unleash the inner criminal impulses. As we embark on this chilly journey, we aim to shed light on this intriguing paradox, separating fact from fro-yo fiction.
The gravity of our investigation cannot be overstated; after all, we are dealing with crime rates and frozen desserts – a rather chilling combination, if you ask us. Our analysis, encompassing data from 1990 to 2021, aims to uncover the sorbet subtleties that may underpin this unexpected association. Through the utilization of sophisticated statistical methods and a flavor-packed dataset from the USDA and the FBI Criminal Justice Information Services, we aim to cast a frozen gaze on this intriguing intersection of creamy indulgence and criminal behavior.
The implications of our findings, should they reveal a strong association, would be as significant as finding a fly in one's frozen treat – unexpected, unsettling, and potentially altering our understanding of causality in the freeze of criminal behavior. So, let’s grab our spoons and dive into this gelato of mystery, ready to unearth the unexpected connections that lie beneath the surface of seemingly disparate variables.
In this paper, we present our exploratory analysis of the frozen yogurt-fueled phenomenon and its potential impact on violent crime rates. Our findings aim to challenge preconceived notions and potentially sweeten the discourse on crime prevention strategies. So, join us as we embark on this frosty quest, where the only thing we’re certain of is that the data will be served with a generous sprinkling of statistical puns and cold, hard facts.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Previous studies examining the relationship between frozen yogurt consumption and violent crime rates have yielded a scoop-full of interesting findings. Smith et al. (2010) conducted a comprehensive analysis of dairy dessert indulgence and its potential impact on criminal behavior. Their study observed a tepid correlation between frozen yogurt sales and instances of misdemeanor mischief, leading them to posit that perhaps a chilled treat has the power to thaw the frostiest of miscreants.

While Smith et al.'s findings thawed the ice surrounding this conundrum, others have churned up contrasting results. Doe and Jones (2015) examined the role of frozen yogurt consumption in the commission of violent crimes, and their results left them feeling rather frosty. Their study suggested an inverse relationship, prompting them to coin the term "frozen yogurt fury" to describe the dubious connection between dairy desserts and delinquency.

In "The Yogurt Paradox: An In-depth Examination of Frozen Delight and Society" by White and Brown (2018), the authors delve into the sociocultural implications of frozen yogurt consumption and its potential impact on criminal behavior. Their tongue-in-cheek exploration of the chilling parallels between indulging in a creamy treat and engaging in lawless activities brings a refreshing perspective to this rather polarizing topic.

Turning our attention to non-fiction sources, "The Sweet Science: Statistical Insights into Frozen Treats" by Vanilla and Chocolate (2017) provides a delectable yet analytical take on the potential correlations between frozen yogurt consumption and criminality. Combining statistical rigor with culinary whimsy, Vanilla and Chocolate's work offers a refreshing look at this puzzling paradox.

In the realm of fiction, "The Case of the Missing Frozen Yogurt" by Sherlock Cone (2013) presents a whimsical tale of intrigue and dairy-based mischief. While not grounded in empirical evidence, Sherlock Cone's deductive prowess and penchant for puns make this frosty mystery a delightful read, albeit one best enjoyed with a chilled spoonful of frozen yogurt in hand.

On a cinematic note, the film "I, Yogurt" (2019) presents a futuristic dystopia where frozen yogurt has become the currency of choice, leading to a frozen frenzy of criminal activities. While not a documentary per se, the film's imaginative exploration of the societal implications of frozen dessert economics offers a thought-provoking yet whimsical take on the subject.

As we scoop through the confectionery labyrinth of frozen yogurt consumption and its potential role in crime rates, these eclectic sources serve as a reminder that this chilly mystery demands a delectable blend of statistical rigor and a sprinkling of whimsy to unravel its frozen enigma.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. 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 USDA and FBI Criminal Justice Information Services . You used data from 1990 to 2021

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

[[INTRODUCTION]]
The peculiar relationship between frozen yogurt consumption and violent crime rates has been a topic of great interest and debate among both criminologists and dessert enthusiasts. While one might assume that the only danger associated with frozen yogurt is brain freeze, our study sought to unravel the enigmatic connection between this delectable dairy confection and criminal behavior. Despite the seemingly unrelated nature of these two variables, our investigation aims to scoop out any potential correlations that may exist between them.
As we delve into this frosty enigma, it is important to acknowledge the deeply ingrained statistical and methodological challenges inherent in such an endeavor. We recognize that ice cream-paring these seemingly unrelated variables may be met with skepticism, but we assure you that our approach has been anything but half-baked. Our analysis is grounded in rigorous statistical methods and a scrutinous examination of the data, ensuring that our findings are as firm as a well-chilled scoop of frozen yogurt.
The landscape of previous research in this area resembles a mystery parfait, with layers of conflicting findings and curious inconsistencies waiting to be unearthed. While some studies have suggested that frozen yogurt consumption may have a calming effect, others have proposed that its icy grip could potentially unleash the inner criminal impulses. As we embark on this chilly journey, we aim to shed light on this intriguing paradox, separating fact from fro-yo fiction.
The gravity of our investigation cannot be overstated; after all, we are dealing with crime rates and frozen desserts – a rather chilling combination, if you ask us. Our analysis, encompassing data from 1990 to 2021, aims to uncover the sorbet subtleties that may underpin this unexpected association. Through the utilization of sophisticated statistical methods and a flavor-packed dataset from the USDA and the FBI Criminal Justice Information Services, we aim to cast a frozen gaze on this intriguing intersection of creamy indulgence and criminal behavior.
The implications of our findings, should they reveal a strong association, would be as significant as finding a fly in one's frozen treat – unexpected, unsettling, and potentially altering our understanding of causality in the freeze of criminal behavior. So, let’s grab our spoons and dive into this gelato of mystery, ready to unearth the unexpected connections that lie beneath the surface of seemingly disparate variables.
In this paper, we present our exploratory analysis of the frozen yogurt-fueled phenomenon and its potential impact on violent crime rates. Our findings aim to challenge preconceived notions and potentially sweeten the discourse on crime prevention strategies. So, join us as we embark on this frosty quest, where the only thing we’re certain of is that the data will be served with a generous sprinkling of statistical puns and cold, hard facts.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To delve into the frosty enigma of the potential connection between frozen yogurt consumption and violent crime rates, our research team employed a methodological approach tailored to unearth the creamy correlations that may underpin this chilly phenomenon.

Data Collection:
Our data collection process involved a rigorous and systematic trawl through the abundance of information available across the internet. We prioritized data from reputable sources, with a primary focus on the United States Department of Agriculture (USDA) and the Federal Bureau of Investigation (FBI) Criminal Justice Information Services. The data spanned a 31-year period, from 1990 to 2021, ensuring a comprehensive and in-depth exploration of the association.

Statistical Analysis:
To churn out meaningful insights, we harnessed a plethora of statistical techniques to analyze the data syrup-stematically. We employed correlation analysis to explore the potential relationship between frozen yogurt consumption and violent crime rates. Additionally, we utilized advanced regression models, including multivariate analysis, factoring in various demographic and socioeconomic variables to ensure a robust understanding of the relationship.

Frozen Yogurt Consumption Measurement:
The quantification of frozen yogurt consumption posed a particularly challenging yet delightful endeavor. Since there is no standard measure for evaluating frozen yogurt consumption across different regions and populations, we derived a composite index based on consumption data available from various food surveys, industry reports, and market research. We meticulously converted this consumption data into a standardized frozen yogurt consumption metric, ensuring that our analysis remained as creamy-smooth as the subject of our investigation.

Violent Crime Rates Assessment:
Regarding the assessment of violent crime rates, we extracted comprehensive data from the FBI Criminal Justice Information Services, encompassing a wide array of criminal activities, including but not limited to homicide, aggravated assault, and robbery. We ensured that the crime rate data were carefully standardized, allowing for a thorough comparison with frozen yogurt consumption across temporal and geographical dimensions.

Covariate Consideration:
Recognizing the potential compounding effects of various demographic and socioeconomic factors, we frosted our analysis with the inclusion of covariates such as population density, income distribution, educational attainment, and urbanization indices. By incorporating these covariates into our multivariate regression models, we aimed to uncover the potential interplay between frozen yogurt consumption and violent crime rates in a nuanced and comprehensive manner.

Sensitivity Analyses:
To ensure the robustness of our findings, we conducted a series of sensitivity analyses to scrutinize the stability of the observed correlation between frozen yogurt consumption and violent crime rates. We adjusted for different time periods, geographical regions, and demographic cohorts, ensuring that our conclusions remained as solid as a well-chilled sundae.

Limitations:
While our methodological approach stands as firm as a frozen yogurt in a commercial freezer, we acknowledge several limitations inherent in our study. The inability to establish causality due to the observational nature of the data, the potential for unmeasured confounding variables, and the varying quality of data sources represent the sprinkles of uncertainty that must be acknowledged.

In summary, our methodological approach served as the spoon that allowed us to dig into the frozen yogurt sundae of correlation between frozen yogurt consumption and violent crime rates. With our data collection tactics, robust statistical analyses, and sensitivity checks, we aimed to serve up findings as delectable as a well-crafted dessert, with a side of statistical puns and cold, hard facts.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. 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 USDA and FBI Criminal Justice Information Services .

For the time period 1990 to 2021, you found a correlation 0.9466665, r-squared of 0.8961775, 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]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The peculiar relationship between frozen yogurt consumption and violent crime rates has been a topic of great interest and debate among both criminologists and dessert enthusiasts. While one might assume that the only danger associated with frozen yogurt is brain freeze, our study sought to unravel the enigmatic connection between this delectable dairy confection and criminal behavior. Despite the seemingly unrelated nature of these two variables, our investigation aims to scoop out any potential correlations that may exist between them.
As we delve into this frosty enigma, it is important to acknowledge the deeply ingrained statistical and methodological challenges inherent in such an endeavor. We recognize that ice cream-paring these seemingly unrelated variables may be met with skepticism, but we assure you that our approach has been anything but half-baked. Our analysis is grounded in rigorous statistical methods and a scrutinous examination of the data, ensuring that our findings are as firm as a well-chilled scoop of frozen yogurt.
The landscape of previous research in this area resembles a mystery parfait, with layers of conflicting findings and curious inconsistencies waiting to be unearthed. While some studies have suggested that frozen yogurt consumption may have a calming effect, others have proposed that its icy grip could potentially unleash the inner criminal impulses. As we embark on this chilly journey, we aim to shed light on this intriguing paradox, separating fact from fro-yo fiction.
The gravity of our investigation cannot be overstated; after all, we are dealing with crime rates and frozen desserts – a rather chilling combination, if you ask us. Our analysis, encompassing data from 1990 to 2021, aims to uncover the sorbet subtleties that may underpin this unexpected association. Through the utilization of sophisticated statistical methods and a flavor-packed dataset from the USDA and the FBI Criminal Justice Information Services, we aim to cast a frozen gaze on this intriguing intersection of creamy indulgence and criminal behavior.
The implications of our findings, should they reveal a strong association, would be as significant as finding a fly in one's frozen treat – unexpected, unsettling, and potentially altering our understanding of causality in the freeze of criminal behavior. So, let’s grab our spoons and dive into this gelato of mystery, ready to unearth the unexpected connections that lie beneath the surface of seemingly disparate variables.
In this paper, we present our exploratory analysis of the frozen yogurt-fueled phenomenon and its potential impact on violent crime rates. Our findings aim to challenge preconceived notions and potentially sweeten the discourse on crime prevention strategies. So, join us as we embark on this frosty quest, where the only thing we’re certain of is that the data will be served with a generous sprinkling of statistical puns and cold, hard facts.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The correlation between frozen yogurt consumption and violent crime rates was as clear as a sunny day in the midst of a brain freeze: a shimmering 0.9466665. This coefficient of determination, or R-squared, of 0.8961775 indicated that a frosty 89.6% of the variability in crime rates could be explained by frozen yogurt consumption. With a p-value less than 0.01, we can say with the utmost confidence that this association is not just a flaky coincidence.

Figure 1 depicts this correlation, and it’s a sight to behold! The scatterplot is as compelling as a good mystery novel, as it reveals a unmistakably strong positive relationship between these two unlikely bedfellows. One might even say that the data points are as tightly packed as a pint of premium froyo, leaving no room for doubt about the robustness of our findings.

Our study panned out just like a perfectly curated sundae, leaving us with a firm understanding of the chilly link between frozen yogurt and violent crime rates. While we can’t exactly pinpoint the causality behind this correlation, we can certainly dish out some compelling evidence to support the notion that there might be more than meets the eye when it comes to the impact of frozen yogurt on criminal behavior.

In summary, our results present a tantalizing glimpse into the frosty realm of frozen yogurt and its potential influence on criminal activity. These findings may seem like they're straight out of a whimsical ice cream parlor, but rest assured, this is some serious statistical scooping. So, grab a spoon and get ready to dig into the deliciously unexpected world of statistical correlations and frozen treats!


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. 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]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

[[LITERATURE REVIEW]]
Previous studies examining the relationship between frozen yogurt consumption and violent crime rates have yielded a scoop-full of interesting findings. Smith et al. (2010) conducted a comprehensive analysis of dairy dessert indulgence and its potential impact on criminal behavior. Their study observed a tepid correlation between frozen yogurt sales and instances of misdemeanor mischief, leading them to posit that perhaps a chilled treat has the power to thaw the frostiest of miscreants.
While Smith et al.'s findings thawed the ice surrounding this conundrum, others have churned up contrasting results. Doe and Jones (2015) examined the role of frozen yogurt consumption in the commission of violent crimes, and their results left them feeling rather frosty. Their study suggested an inverse relationship, prompting them to coin the term "frozen yogurt fury" to describe the dubious connection between dairy desserts and delinquency.
In "The Yogurt Paradox: An In-depth Examination of Frozen Delight and Society" by White and Brown (2018), the authors delve into the sociocultural implications of frozen yogurt consumption and its potential impact on criminal behavior. Their tongue-in-cheek exploration of the chilling parallels between indulging in a creamy treat and engaging in lawless activities brings a refreshing perspective to this rather polarizing topic.
Turning our attention to non-fiction sources, "The Sweet Science: Statistical Insights into Frozen Treats" by Vanilla and Chocolate (2017) provides a delectable yet analytical take on the potential correlations between frozen yogurt consumption and criminality. Combining statistical rigor with culinary whimsy, Vanilla and Chocolate's work offers a refreshing look at this puzzling paradox.
In the realm of fiction, "The Case of the Missing Frozen Yogurt" by Sherlock Cone (2013) presents a whimsical tale of intrigue and dairy-based mischief. While not grounded in empirical evidence, Sherlock Cone's deductive prowess and penchant for puns make this frosty mystery a delightful read, albeit one best enjoyed with a chilled spoonful of frozen yogurt in hand.
On a cinematic note, the film "I, Yogurt" (2019) presents a futuristic dystopia where frozen yogurt has become the currency of choice, leading to a frozen frenzy of criminal activities. While not a documentary per se, the film's imaginative exploration of the societal implications of frozen dessert economics offers a thought-provoking yet whimsical take on the subject.
As we scoop through the confectionery labyrinth of frozen yogurt consumption and its potential role in crime rates, these eclectic sources serve as a reminder that this chilly mystery demands a delectable blend of statistical rigor and a sprinkling of whimsy to unravel its frozen enigma.

[[RESULTS]]
The correlation between frozen yogurt consumption and violent crime rates was as clear as a sunny day in the midst of a brain freeze: a shimmering 0.9466665. This coefficient of determination, or R-squared, of 0.8961775 indicated that a frosty 89.6% of the variability in crime rates could be explained by frozen yogurt consumption. With a p-value less than 0.01, we can say with the utmost confidence that this association is not just a flaky coincidence.
Figure 1 depicts this correlation, and it’s a sight to behold! The scatterplot is as compelling as a good mystery novel, as it reveals a unmistakably strong positive relationship between these two unlikely bedfellows. One might even say that the data points are as tightly packed as a pint of premium froyo, leaving no room for doubt about the robustness of our findings.
Our study panned out just like a perfectly curated sundae, leaving us with a firm understanding of the chilly link between frozen yogurt and violent crime rates. While we can’t exactly pinpoint the causality behind this correlation, we can certainly dish out some compelling evidence to support the notion that there might be more than meets the eye when it comes to the impact of frozen yogurt on criminal behavior.
In summary, our results present a tantalizing glimpse into the frosty realm of frozen yogurt and its potential influence on criminal activity. These findings may seem like they're straight out of a whimsical ice cream parlor, but rest assured, this is some serious statistical scooping. So, grab a spoon and get ready to dig into the deliciously unexpected world of statistical correlations and frozen treats!

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

We have unraveled a chilling correlation between frozen yogurt consumption and violent crime rates that might just freeze you in your tracks. Our findings, as surprising as stumbling upon a snow cone in a desert, support and enhance the chilled insights gleaned from prior research on this unconventional yet tantalizing subject.

The tepid correlation observed by Smith et al. (2010) could, figuratively speaking, be regarded as the initial frosty whisper hinting at the potential connection between frozen yogurt and criminal mischief. Our study, much like an avalanche of evidence, has bolstered and substantially solidified this initial observation, providing a robust statistical foundation for this whimsical yet intriguing association.

Similarly, the term "frozen yogurt fury" coined by Doe and Jones (2015) may have initially left us feeling a little frostbitten, but our results have thawed the icy skepticism, revealing a harmonious alignment between their findings and our own. It seems that the frosty fury of frozen yogurt may indeed have a role to play in the intriguing world of criminal behavior.

White and Brown's (2018) insightful exploration of the sociocultural implications of indulging in creamy delights now seems more than just a whimsical meander through the realm of frozen treats. Our findings, much like the unexpected burst of flavor in a decadent scoop of frozen yogurt, have injected a new layer of depth and substance into the chilling parallels they eloquently illuminated.

As for Vanilla and Chocolate's (2017) statistical musings, our study not only confirms but amplifies the tantalizing statistical insights they presented. Think of our research as sprinkles on the frozen yogurt of their work, adding a touch of statistical rigor to their delectable yet empirical take on this enigmatic paradox.

Turning our attention to less empirical sources, Sherlock Cone's (2013) icy mystery, while a whimsical tale, has inadvertently captivated the essence of this frosty entanglement. Just as Sherlock Cone's deductions evoke smiles and mystery, our findings add a layer of empirical depth to the whimsy, creating a research narrative that is as engaging as it is enlightening.

In conclusion, our findings, akin to an unexpected sprinkle of rainbow jimmies on a scoop of vanilla frozen yogurt, have further enriched the frosty narrative surrounding the link between frozen yogurt consumption and violent crime rates. This chilly mystery, while still buried under layers of statistical frost, is warming up to reveal a tantalizing tableau of statistical curiosity and whimsical correlation.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Frozen yogurt consumption and Violent crime rates. 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]]
Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates

[[ABSTRACT]]
This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

[[INTRDUCTION]]
The peculiar relationship between frozen yogurt consumption and violent crime rates has been a topic of great interest and debate among both criminologists and dessert enthusiasts. While one might assume that the only danger associated with frozen yogurt is brain freeze, our study sought to unravel the enigmatic connection between this delectable dairy confection and criminal behavior. Despite the seemingly unrelated nature of these two variables, our investigation aims to scoop out any potential correlations that may exist between them.
As we delve into this frosty enigma, it is important to acknowledge the deeply ingrained statistical and methodological challenges inherent in such an endeavor. We recognize that ice cream-paring these seemingly unrelated variables may be met with skepticism, but we assure you that our approach has been anything but half-baked. Our analysis is grounded in rigorous statistical methods and a scrutinous examination of the data, ensuring that our findings are as firm as a well-chilled scoop of frozen yogurt.
The landscape of previous research in this area resembles a mystery parfait, with layers of conflicting findings and curious inconsistencies waiting to be unearthed. While some studies have suggested that frozen yogurt consumption may have a calming effect, others have proposed that its icy grip could potentially unleash the inner criminal impulses. As we embark on this chilly journey, we aim to shed light on this intriguing paradox, separating fact from fro-yo fiction.
The gravity of our investigation cannot be overstated; after all, we are dealing with crime rates and frozen desserts – a rather chilling combination, if you ask us. Our analysis, encompassing data from 1990 to 2021, aims to uncover the sorbet subtleties that may underpin this unexpected association. Through the utilization of sophisticated statistical methods and a flavor-packed dataset from the USDA and the FBI Criminal Justice Information Services, we aim to cast a frozen gaze on this intriguing intersection of creamy indulgence and criminal behavior.
The implications of our findings, should they reveal a strong association, would be as significant as finding a fly in one's frozen treat – unexpected, unsettling, and potentially altering our understanding of causality in the freeze of criminal behavior. So, let’s grab our spoons and dive into this gelato of mystery, ready to unearth the unexpected connections that lie beneath the surface of seemingly disparate variables.
In this paper, we present our exploratory analysis of the frozen yogurt-fueled phenomenon and its potential impact on violent crime rates. Our findings aim to challenge preconceived notions and potentially sweeten the discourse on crime prevention strategies. So, join us as we embark on this frosty quest, where the only thing we’re certain of is that the data will be served with a generous sprinkling of statistical puns and cold, hard facts.

[[RESULTS]]
The correlation between frozen yogurt consumption and violent crime rates was as clear as a sunny day in the midst of a brain freeze: a shimmering 0.9466665. This coefficient of determination, or R-squared, of 0.8961775 indicated that a frosty 89.6% of the variability in crime rates could be explained by frozen yogurt consumption. With a p-value less than 0.01, we can say with the utmost confidence that this association is not just a flaky coincidence.
Figure 1 depicts this correlation, and it’s a sight to behold! The scatterplot is as compelling as a good mystery novel, as it reveals a unmistakably strong positive relationship between these two unlikely bedfellows. One might even say that the data points are as tightly packed as a pint of premium froyo, leaving no room for doubt about the robustness of our findings.
Our study panned out just like a perfectly curated sundae, leaving us with a firm understanding of the chilly link between frozen yogurt and violent crime rates. While we can’t exactly pinpoint the causality behind this correlation, we can certainly dish out some compelling evidence to support the notion that there might be more than meets the eye when it comes to the impact of frozen yogurt on criminal behavior.
In summary, our results present a tantalizing glimpse into the frosty realm of frozen yogurt and its potential influence on criminal activity. These findings may seem like they're straight out of a whimsical ice cream parlor, but rest assured, this is some serious statistical scooping. So, grab a spoon and get ready to dig into the deliciously unexpected world of statistical correlations and frozen treats!

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

Our study has chilledly unearthed a tantalizing connection between frozen yogurt consumption and violent crime rates, leaving us with brain freeze and heartburn as we grapple with this frosty revelation. The correlation coefficient of 0.9466665 is as striking as finding a whole candy bar in your fro-yo – it's statistically significant and undeniably surprising. Our findings suggest that there might be more than meets the eye when it comes to the impact of frozen yogurt on criminal behavior. It's as mysterious as trying to determine the exact number of licks it takes to get to the Tootsie Roll center of a Tootsie Pop.

While we can't causally link these two variables like the chain of a bicycle locked up outside an ice cream parlor, our results have definitely sprinkled a heap of statistical intrigue onto this chilly mystery. It's like trying to separate the cookie dough from the vanilla swirl in a tub of frozen dessert – an endeavor that's met with both excitement and frustration.

In conclusion, our study has brought to light the surprising relationship between frozen yogurt and violent crime rates. We've churned up some compelling evidence that may just make you question whether that pint of Rocky Road is innocent indulgence or a potential catalyst for criminal mischief. Our findings, like a soft-serve cone on a hot summer day, are both refreshing and thought-provoking.

It's clear from our findings that no more research is needed in this area – we've certainly ‘scooped’ out enough evidence to whet the appetite of even the most skeptical statisticians and criminologists. As for the exact mechanism behind this curious correlation, well, that remains as enigmatic as the elusive quest for the perfect frozen yogurt swirl.


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 Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates. Respond only with the name of a fictional academic journal.

ChatGPT:

The International Journal of Criminology and Frozen Treats Research


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Dairy-Related Criminology


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 Chilling Crime: The Frozen Yogurt Factor in Violent Crime Rates with an abstract of This study concocts a frozen yogurt-fueled examination of violent crime rates, seeking to churn up a correlation between the consumption of this frosty treat and the occurrence of criminal activity. Utilizing data from the USDA and the FBI Criminal Justice Information Services, we dived spoon-first into the statistics from 1990 to 2021. Our analysis revealed a frostily intriguing correlation coefficient of 0.9466665, with a p-value less than 0.01, indicating a statistically significant association. While the exact mechanism behind this connection remains shrouded in sprinkles of mystery, our findings suggest that perhaps indulging in frozen yogurt could have an unexpected impact on crime rates. Join us as we delve into this blend of criminal antics and frozen delights, serving up some chilling insights into the world of sweet treats and sinister deeds.

ChatGPT:

frozen yogurt consumption, violent crime rates, correlation, USDA data, FBI Criminal Justice Information Services, statistics, correlation coefficient, p-value, mechanism, impact, criminal activity, sweet treats

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



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Data details

Frozen yogurt consumption
Detailed data title: Per capita consumption of Frozen yogurt in the US
Source: USDA
See what else correlates with Frozen yogurt consumption

Violent crime rates
Detailed data title: The violent crime rate per 100,000 residents in United States
Source: FBI Criminal Justice Information Services
See what else correlates with Violent crime rates

Correlation r = 0.9466665 (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 = 0.8961775 (Coefficient of determination)
This means 89.6% of the change in the one variable (i.e., Violent crime rates) is predictable based on the change in the other (i.e., Frozen yogurt consumption) over the 32 years from 1990 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.7E-16. 0.0000000000000002669176487115
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 0.95 in 2.7E-14% of random cases. Said differently, if you correlated 3,746,473,883,714,065 random variables You don't actually need 3 quadrillion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 31 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 31 because we have two variables measured over a period of 32 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.

[ 0.89, 0.97 ] 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.
19901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Frozen yogurt consumption (Pounds per person)2.83.53.13.43.43.42.522.1221.51.51.51.31.31.31.51.50.911.21.11.41.31.41.21.2110.60.9
Violent crime rates (Violent crime)729.6758.2757.7747.1713.6684.5636.6611567.6523506.5504.5494.4475.8463.2469479.3471.8458.6431.9404.5387.1387.8369.1361.6373.7397.5394.9383.4380.8398.5387




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.
  5. Outlandish outliers: There are "outliers" in this data. In concept, "outlier" just means "way different than the rest of your dataset." When calculating a correlation like this, they are particularly impactful because a single outlier can substantially increase your correlation.

    For the purposes of this project, I counted a point as an outlier if it the residual was two standard deviations from the mean.

    (This bullet point only shows up in the details page on charts that do, in fact, have outliers.)
    They stand out on the scatterplot above: notice the dots that are far away from any other dots. I intentionally mishandeled outliers, which makes the correlation look extra strong.




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([2.8,3.5,3.1,3.4,3.4,3.4,2.5,2,2.1,2,2,1.5,1.5,1.5,1.3,1.3,1.3,1.5,1.5,0.9,1,1.2,1.1,1.4,1.3,1.4,1.2,1.2,1,1,0.6,0.9,])
array_2 = np.array([729.6,758.2,757.7,747.1,713.6,684.5,636.6,611,567.6,523,506.5,504.5,494.4,475.8,463.2,469,479.3,471.8,458.6,431.9,404.5,387.1,387.8,369.1,361.6,373.7,397.5,394.9,383.4,380.8,398.5,387,])
array_1_name = "Frozen yogurt consumption"
array_2_name = "Violent crime rates"

# 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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Correlation ID: 5905 · Black Variable ID: 564 · Red Variable ID: 20220
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