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Spurious correlation #4,689 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air pollution in Berlin, New Hampshire and the second variable is Google searches for 'snoop dog'.  The chart goes from 2004 to 2023, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The cleaner air led to the growth of exceptionally chill and laid-back pine trees. These trees emitted a faint aroma of smooth rap lyrics, inadvertently dampening the public's interest in searching for Snoop Dogg.

Model: dalle-3
Prompt: [Scalar art] Generate an image of a sunny Berlin, New Hampshire cityscape. The sky is clear and crisp, with the city skyline visible in the distance. People are depicted engaging in outdoor activities, such as biking and walking, to convey the sense of a fresh, clean environment. In the foreground, a cozy living room is shown with a computer screen displaying the Google search bar featuring "Snoop Dogg." The search trends chart is displayed nearby, depicting a noticeable downward slope, indicating the decrease in interest in Snoop Dogg's music and news. The visual correlation between the clean air and the declining popularity of Snoop Dogg is emphasized without the use of words or speech bubbles. 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 pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. 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: Scalar art Data cyber art Glitch art Low poly Symbolism
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 pollution in Berlin, New Hampshire and Google searches for 'snoop dog', in the following situation: The decrease in air pollution in Berlin, New Hampshire caused a decrease in Snoop Dogg searches because people didn't need the air "cleared" by his music anymore. It seems they no longer had to "drop it like it's hot" to combat the smog. Without the need for "gin and juice" to cope with the pollution, the city was just "living it up" in the clean, fresh air. This correlation suggests that Snoop Dogg's popularity was, quite literally, "up in smoke" along with the air pollution. His fans no longer felt the "pressure" to listen to his music, as the "puff puff pass" of clean air became the new attraction. In essence, as the pollution decreased, so did the "Snoop-mania" in a truly "smoke-free" turn of events. It's a "doggone" mystery, but it seems like Snoop Dogg was inadvertently "blowing" in the wind of air quality trends. Whether this was just a "gin and tonic" of fate or a "doggy style" coincidence, one thing's for sure – the air in Berlin, New Hampshire may have been cleaner, but it was also a little less "Snoopified.". Keep the description simple.
ChatGPT: On a sunny day in Berlin, New Hampshire, the air is noticeably clearer, with fewer emissions floating in the breeze. People are out and about, enjoying the clean, fresh air. Some are riding bikes, while others are taking leisurely strolls. The city skyline is visible in the distance, no longer obscured by a smoggy haze. Meanwhile, on a computer screen in a cozy living room, the Google search bar reads "Snoop Dogg." However, the search volume for the famous rapper has noticeably decreased, with fewer people searching for his music and latest news. The chart displaying search trends for "Snoop Dogg" is on a downward slope, mirroring the decline in air pollution levels. The music of Snoop Dogg, once a popular choice for combating the smog, seems to have taken a backseat as the city revels in its newfound clean air. These two scenes show a correlation between the decrease in air pollution and the declining popularity of Snoop Dogg in Berlin, New Hampshire.

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: On a sunny day in Berlin, New Hampshire, the air is noticeably clearer, with fewer emissions floating in the breeze. People are out and about, enjoying the clean, fresh air. Some are riding bikes, while others are taking leisurely strolls. The city skyline is visible in the distance, no longer obscured by a smoggy haze. Meanwhile, on a computer screen in a cozy living room, the Google search bar reads "Snoop Dogg." However, the search volume for the famous rapper has noticeably decreased, with fewer people searching for his music and latest news. The chart displaying search trends for "Snoop Dogg" is on a downward slope, mirroring the decline in air pollution levels. The music of Snoop Dogg, once a popular choice for combating the smog, seems to have taken a backseat as the city revels in its newfound clean air. These two scenes show a correlation between the decrease in air pollution and the declining popularity of Snoop Dogg in Berlin, New Hampshire. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [Scalar art] Generate an image of a sunny Berlin, New Hampshire cityscape. The sky is clear and crisp, with the city skyline visible in the distance. People are depicted engaging in outdoor activities, such as biking and walking, to convey the sense of a fresh, clean environment. In the foreground, a cozy living room is shown with a computer screen displaying the Google search bar featuring "Snoop Dogg." The search trends chart is displayed nearby, depicting a noticeable downward slope, indicating the decrease in interest in Snoop Dogg's music and news. The visual correlation between the clean air and the declining popularity of Snoop Dogg is emphasized without the use of words or speech bubbles.

*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 Air pollution in Berlin, New Hampshire caused snoop dog (Google searches for 'snoop dog') to decrease.

AI academic paper

(Because p < 0.01)
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

The Journal of Unlikely Correlations

Jan 2024

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




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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Rhyme words 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 0.8149822 and p < 0.01 for 2004 to 2023.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Have you ever wondered if the quality of the air we breathe could influence our musical preferences? Well, it turns out that there might be more to this question than meets the nose. In this study, we unmask the connection between air pollution levels in Berlin, New Hampshire and the frequency of Google searches for the one and only Snoop Dog. Just like a sneaky armpit, the relationship between these variables caught our attention, and we simply couldn't resist digging deeper into the data.

Air pollution is a hot topic, and not just because it makes the atmosphere sizzle. With increasing global concern about its detrimental effects on human health and the environment, researchers are eager to sniff out any unexpected implications. Meanwhile, Snoop Dog, with his undeniable charisma and catchy tunes, has been floating on the waves of pop culture like a laid-back surfer catching some Cali rays. But who would have thought these seemingly unrelated elements could collide in such a funky way?

As we embark on this journey, it's important to recognize the relevance of conducting research in uncharted territories. Like a funky beat, the thrill of uncovering new connections and shedding light on unforeseen relationships is at the heart of scientific exploration. Who knows, perhaps by the end of this study, we'll all be rolling in the green with our newfound understanding of nature's influence on our musical tastes!


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Have you ever wondered if the quality of the air we breathe could influence our musical preferences? Well, it turns out that there might be more to this question than meets the nose. In this study, we unmask the connection between air pollution levels in Berlin, New Hampshire and the frequency of Google searches for the one and only Snoop Dog. Just like a sneaky armpit, the relationship between these variables caught our attention, and we simply couldn't resist digging deeper into the data.
Air pollution is a hot topic, and not just because it makes the atmosphere sizzle. With increasing global concern about its detrimental effects on human health and the environment, researchers are eager to sniff out any unexpected implications. Meanwhile, Snoop Dog, with his undeniable charisma and catchy tunes, has been floating on the waves of pop culture like a laid-back surfer catching some Cali rays. But who would have thought these seemingly unrelated elements could collide in such a funky way?
As we embark on this journey, it's important to recognize the relevance of conducting research in uncharted territories. Like a funky beat, the thrill of uncovering new connections and shedding light on unforeseen relationships is at the heart of scientific exploration. Who knows, perhaps by the end of this study, we'll all be rolling in the green with our newfound understanding of nature's influence on our musical tastes!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

As we embark on our quest to uncover the peculiar connection between air pollution levels in Berlin, New Hampshire and Google searches for the iconic rapper, Snoop Dog, we encounter a myriad of studies that have delved into the complexities of environmental influences on human behavior. Smith et al. (2010) emphasize the far-reaching impact of air pollution on mental health, demonstrating a link between polluted air and increased stress levels in urban populations.

It’s like they say, air pollution doesn’t just take a toll on your lungs; it can also cloud your judgment. If only we could filter out those pesky pollutants as easily as we filter through our music playlists!

Building on this foundation, Doe (2015) explores the psychological effects of living in atmospheres with higher levels of pollutants, showing a correlation between air quality and changes in individual preferences for recreational activities. Consequently, one might find themselves searching for musical escapes on the internet, perhaps even stumbling across some doggystyle tunes in the process.

It’s truly remarkable how the air we breathe can influence the melodies that make our hearts sing. It's like a musical symphony conducted by Mother Nature herself, with Snoop Dog’s tunes just adding that extra flair like a funky bassline that nobody can resist.

Jones (2018) contributes to our understanding by examining the cultural impact of air pollution, shedding light on how environmental factors shape consumer behavior. The study provides insights into the ways in which individuals seek comfort and solace amidst environmental challenges, suggesting that turning to Google for a hit of Snoop Dog’s music might serve as a form of coping mechanism in polluted environments.

It seems that amidst the haze of polluted air, humans turn to Snoop Dog like a breath of fresh air - or at least the closest thing they can find to it on the internet!

Furthermore, in "The Air We Breathe: A Comprehensive Study" by Green and Clean (2019), the authors delve into the impact of air quality on everyday life. Their findings reveal the intriguing possibility that individuals seek solace in music during times of heightened environmental stress, potentially leading them to seek refuge in the smooth sounds of Snoop Dog's music.

A breath of fresh air indeed, or at least a breath of Snoop Dog – whichever clears the mental smog first, right?

On a more fanciful note, "The Lorax" by Dr. Seuss explores the relationship between environmental degradation and human behavior, showcasing how the deterioration of the environment can spark unexpected desires for whimsical solutions - much like the yearning for some Snoop Dog tunes in the midst of polluted air.

And who could forget the classic tale of "Alice in Wonderland" by Lewis Carroll? With its whimsical portrayal of a topsy-turvy world, it's not too far-fetched to imagine individuals seeking solace in the dreamlike escapism of Snoop Dog’s music, perhaps hoping to stumble upon Wonderland-like respite from the smog.

Just like "The Magic School Bus" and "Sesame Street," where the most unexpected connections and adventures unfold, it appears that the concatenation of air pollution and Snoop Dog's music has led us down a colorful and unexpected research rabbit hole.

As we navigate through this labyrinth of studies, both serious and whimsical, one thing becomes abundantly clear: the relationship between air pollution and Snoop Dog is no laughing matter, but it sure does lead to some unexpected and laughter-inducing connections!


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 2004 to 2023

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

[[INTRODUCTION]]
Have you ever wondered if the quality of the air we breathe could influence our musical preferences? Well, it turns out that there might be more to this question than meets the nose. In this study, we unmask the connection between air pollution levels in Berlin, New Hampshire and the frequency of Google searches for the one and only Snoop Dog. Just like a sneaky armpit, the relationship between these variables caught our attention, and we simply couldn't resist digging deeper into the data.
Air pollution is a hot topic, and not just because it makes the atmosphere sizzle. With increasing global concern about its detrimental effects on human health and the environment, researchers are eager to sniff out any unexpected implications. Meanwhile, Snoop Dog, with his undeniable charisma and catchy tunes, has been floating on the waves of pop culture like a laid-back surfer catching some Cali rays. But who would have thought these seemingly unrelated elements could collide in such a funky way?
As we embark on this journey, it's important to recognize the relevance of conducting research in uncharted territories. Like a funky beat, the thrill of uncovering new connections and shedding light on unforeseen relationships is at the heart of scientific exploration. Who knows, perhaps by the end of this study, we'll all be rolling in the green with our newfound understanding of nature's influence on our musical tastes!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To embark on this groovy research endeavor, we turned to the Environmental Protection Agency's Air Quality System to collect data on pollutant levels in Berlin, New Hampshire. We gathered information on various air pollutants such as ozone, sulfur dioxide, nitrogen dioxide, and particulate matter, with the intention of getting to the root of the funky air quality situation in Berlin. Our team of data miners dug through the digital soil like enthusiastic gardeners, cultivating a rich dataset that would allow us to breathe life into our analysis.

With our gas masks firmly in place, we then tapped into Google Trends to retrieve the frequency of searches for the legendary rapper, Snoop Dog. It was like using a musical map to navigate the turbulent winds of internet searches, hoping to find the elusive treasure that was our data correlation. As we sifted through the virtual haystack for mentions of the Doggfather, we couldn't help but ponder if we were barking up the right tree or if we were simply chasing our own tails.

Once we amassed our righteous dataset spanning the years 2004 to 2023, we conducted thorough statistical analyses to tease out the relationship between air pollution levels and Snoop Dog searches. We employed a combination of time-series analysis, regression modeling, and cross-correlation techniques. It was like trying to synchronize the beats of two distinct songs to see if they harmonized in a rhythm that would make even Snoop himself nod in approval.

To determine the strength and significance of the association, we calculated the Pearson correlation coefficient between the air pollutant concentrations and the volume of Snoop Dog searches. This coefficient, symbolized by the letter "r," served as our compass in navigating the stormy seas of data, guiding us toward the heart of the correlation. We recognized the importance of setting sail with a sturdy rudder, especially when venturing into uncharted, foggy waters of the statistical sea.

In addition to exploring correlation, we conducted time series analysis to uncover potential lag effects between changes in air pollution levels and subsequent shifts in Snoop Dog search volumes. It was like playing a musical call-and-response with the data, waiting to hear if the chorus of air pollution was answered by the verses of Snoop Dog queries in a lyrical dance of cause and effect.

Furthermore, we performed regression analyses to control for potential confounding variables such as population demographics, seasonal trends, and other environmental factors. Much like a DJ adjusting the sound levels to create a balanced mix, we strived to ensure that the melody of our findings was not distorted by extraneous noise or unexpected instrumentals.

Finally, to assess the statistical significance of our results, we calculated p-values and confidence intervals, ensuring that our findings were more than just statistical noise in the melody of research. It was like double-checking the tuning of our scientific instruments to make sure that our findings were truly hitting the right notes.

In the end, after harmonizing our scientific methods and navigating the treacherous currents of data, we arrived at a resounding conclusion that would make any music lover nod in agreement. The connection between air pollution in Berlin and searches for Snoop Dog was not just a fleeting tune in the wind but a melody with a catchy chorus that resonated through the digital airwaves. We hope this study will inspire future researchers to march to the beat of their own drum and embrace the unexpected harmonies that await in the unlikeliest of places. After all, sometimes the best research is as surprising as a well-timed key change in a catchy song!


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

Please make up the results section of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 2004 to 2023, you found a correlation 0.8149822, r-squared of 0.6641959, 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]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Have you ever wondered if the quality of the air we breathe could influence our musical preferences? Well, it turns out that there might be more to this question than meets the nose. In this study, we unmask the connection between air pollution levels in Berlin, New Hampshire and the frequency of Google searches for the one and only Snoop Dog. Just like a sneaky armpit, the relationship between these variables caught our attention, and we simply couldn't resist digging deeper into the data.
Air pollution is a hot topic, and not just because it makes the atmosphere sizzle. With increasing global concern about its detrimental effects on human health and the environment, researchers are eager to sniff out any unexpected implications. Meanwhile, Snoop Dog, with his undeniable charisma and catchy tunes, has been floating on the waves of pop culture like a laid-back surfer catching some Cali rays. But who would have thought these seemingly unrelated elements could collide in such a funky way?
As we embark on this journey, it's important to recognize the relevance of conducting research in uncharted territories. Like a funky beat, the thrill of uncovering new connections and shedding light on unforeseen relationships is at the heart of scientific exploration. Who knows, perhaps by the end of this study, we'll all be rolling in the green with our newfound understanding of nature's influence on our musical tastes!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our investigation into the connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for Snoop Dog has resulted in some intriguing findings. The statistical analysis revealed a strong positive correlation of 0.8149822, indicating a robust relationship between the two variables. This correlation coefficient suggests a strong association, but it's not just hot air - the r-squared value of 0.6641959 indicates that approximately 66.42% of the variability in Google searches for Snoop Dog can be explained by changes in air pollution levels. It's clear that this connection is not just blowing smoke!

The p-value of less than 0.01 further solidifies the significance of our findings, providing strong evidence that the observed relationship is not due to random chance. As the air quality in Berlin took a turn for the smoggier, there was a notable surge in searches for the iconic rapper. It seems the residents of Berlin were not only gasping for clean air but also reaching for the nearest search engine to quench their thirst for Snoop Dog's distinct brand of music and charisma.

The scatterplot (Fig. 1) paints a compelling picture of the relationship between air pollution and Google searches for Snoop Dog. Like a pair of harmonious notes, the data points align in a way that visually exemplifies the strength of the correlation. It's as if the pollution particles and Snoop's signature rhymes were dancing together in perfect harmony, underlining the unexpected symmetry between environmental conditions and musical inclinations.

In conclusion, our study not only uncovers a remarkable link between air pollution and popular culture but also serves as a gentle reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. It seems that here in Berlin, New Hampshire, when the air gets hazy, the internet gets blazin' with searches for Snoop Dog. As we wrap up our findings, we've come to appreciate that in the grand symphony of life, even the most seemingly unrelated variables can come together in a catchy melody. So, next time you're feeling a little foggy about research possibilities, just remember - there may be some unexpected rap workings at play!


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

[[LITERATURE REVIEW]]
As we embark on our quest to uncover the peculiar connection between air pollution levels in Berlin, New Hampshire and Google searches for the iconic rapper, Snoop Dog, we encounter a myriad of studies that have delved into the complexities of environmental influences on human behavior. Smith et al. (2010) emphasize the far-reaching impact of air pollution on mental health, demonstrating a link between polluted air and increased stress levels in urban populations.
It’s like they say, air pollution doesn’t just take a toll on your lungs; it can also cloud your judgment. If only we could filter out those pesky pollutants as easily as we filter through our music playlists!
Building on this foundation, Doe (2015) explores the psychological effects of living in atmospheres with higher levels of pollutants, showing a correlation between air quality and changes in individual preferences for recreational activities. Consequently, one might find themselves searching for musical escapes on the internet, perhaps even stumbling across some doggystyle tunes in the process.
It’s truly remarkable how the air we breathe can influence the melodies that make our hearts sing. It's like a musical symphony conducted by Mother Nature herself, with Snoop Dog’s tunes just adding that extra flair like a funky bassline that nobody can resist.
Jones (2018) contributes to our understanding by examining the cultural impact of air pollution, shedding light on how environmental factors shape consumer behavior. The study provides insights into the ways in which individuals seek comfort and solace amidst environmental challenges, suggesting that turning to Google for a hit of Snoop Dog’s music might serve as a form of coping mechanism in polluted environments.
It seems that amidst the haze of polluted air, humans turn to Snoop Dog like a breath of fresh air - or at least the closest thing they can find to it on the internet!
Furthermore, in "The Air We Breathe: A Comprehensive Study" by Green and Clean (2019), the authors delve into the impact of air quality on everyday life. Their findings reveal the intriguing possibility that individuals seek solace in music during times of heightened environmental stress, potentially leading them to seek refuge in the smooth sounds of Snoop Dog's music.
A breath of fresh air indeed, or at least a breath of Snoop Dog – whichever clears the mental smog first, right?
On a more fanciful note, "The Lorax" by Dr. Seuss explores the relationship between environmental degradation and human behavior, showcasing how the deterioration of the environment can spark unexpected desires for whimsical solutions - much like the yearning for some Snoop Dog tunes in the midst of polluted air.
And who could forget the classic tale of "Alice in Wonderland" by Lewis Carroll? With its whimsical portrayal of a topsy-turvy world, it's not too far-fetched to imagine individuals seeking solace in the dreamlike escapism of Snoop Dog’s music, perhaps hoping to stumble upon Wonderland-like respite from the smog.
Just like "The Magic School Bus" and "Sesame Street," where the most unexpected connections and adventures unfold, it appears that the concatenation of air pollution and Snoop Dog's music has led us down a colorful and unexpected research rabbit hole.
As we navigate through this labyrinth of studies, both serious and whimsical, one thing becomes abundantly clear: the relationship between air pollution and Snoop Dog is no laughing matter, but it sure does lead to some unexpected and laughter-inducing connections!

[[RESULTS]]
Our investigation into the connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for Snoop Dog has resulted in some intriguing findings. The statistical analysis revealed a strong positive correlation of 0.8149822, indicating a robust relationship between the two variables. This correlation coefficient suggests a strong association, but it's not just hot air - the r-squared value of 0.6641959 indicates that approximately 66.42% of the variability in Google searches for Snoop Dog can be explained by changes in air pollution levels. It's clear that this connection is not just blowing smoke!
The p-value of less than 0.01 further solidifies the significance of our findings, providing strong evidence that the observed relationship is not due to random chance. As the air quality in Berlin took a turn for the smoggier, there was a notable surge in searches for the iconic rapper. It seems the residents of Berlin were not only gasping for clean air but also reaching for the nearest search engine to quench their thirst for Snoop Dog's distinct brand of music and charisma.
The scatterplot (Fig. 1) paints a compelling picture of the relationship between air pollution and Google searches for Snoop Dog. Like a pair of harmonious notes, the data points align in a way that visually exemplifies the strength of the correlation. It's as if the pollution particles and Snoop's signature rhymes were dancing together in perfect harmony, underlining the unexpected symmetry between environmental conditions and musical inclinations.
In conclusion, our study not only uncovers a remarkable link between air pollution and popular culture but also serves as a gentle reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. It seems that here in Berlin, New Hampshire, when the air gets hazy, the internet gets blazin' with searches for Snoop Dog. As we wrap up our findings, we've come to appreciate that in the grand symphony of life, even the most seemingly unrelated variables can come together in a catchy melody. So, next time you're feeling a little foggy about research possibilities, just remember - there may be some unexpected rap workings at play!

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study have unveiled an unexpected but robust relationship between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the enigmatic rapper, Snoop Dog. Our findings align with prior research, showcasing a noticeable surge in search activity as air quality declines. It seems that as the residents of Berlin found themselves amid the smog, they turned to the internet to Snoop around for some musical respite.

Our statistics, with a correlation coefficient of 0.8149822 and a p-value of less than 0.01, validate the significant connection between these seemingly disparate variables. It's almost as if the data itself is whispering, "it's not just a bunch of hot air." The correlation coefficient indicates a strong association, suggesting that approximately 66.42% of the variability in Google searches for Snoop Dog can be attributed to changes in air pollution levels - a connection that is not just blowing smoke!

Our results echo the whimsical themes highlighted in prior literature, such as the unexpected desires and coping mechanisms prompted by environmental stress. As our findings fell into harmony with previous research, it became clear that the pollen of truth lay within the unlikely bouquet of air pollution and Snoop Dog's tunes.

The scatterplot (Fig. 1) visually captures the dance between air pollution and Snoop Dog searches, mirroring the unexpected symmetry between environmental conditions and human behavior. It's as if the pollution particles and Snoop's rhymes were two peas in a pod, dancing in perfect harmony. Who knew that polluted particles and rap lyrics could make such a harmonious pair? It's like an unexpected duet that no one saw coming – but boy, does it hit all the right notes!

As we thread the needle through the robust fabric of our results, we realize that, just like in the improbable tales of Dr. Seuss and Lewis Carroll, the fusion of air pollution and Snoop Dog's music has led us down an unexpected research rabbit hole. Who would have thought that the air in Berlin, New Hampshire, would have such an influence on the search habits of its residents? It's a breath of fresh air to see how even the most unrelated variables can come together to form a catchy melody in this grand symphony of life.

In summary, our research has not only broadened our understanding of the complex relationship between air pollution and human behavior but also tickled our scientific senses with the unexpected twists and turns along the way. As we take a moment to appreciate the lilting dance between smoky air and Snoop's mesmerizing tunes, we are reminded that in the world of research, there's always an unexpected rap waiting to drop its surprising beats!


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Air pollution in Berlin, New Hampshire and Google searches for 'snoop dog'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper

[[ABSTRACT]]
In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.

Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!

This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

[[INTRDUCTION]]
Have you ever wondered if the quality of the air we breathe could influence our musical preferences? Well, it turns out that there might be more to this question than meets the nose. In this study, we unmask the connection between air pollution levels in Berlin, New Hampshire and the frequency of Google searches for the one and only Snoop Dog. Just like a sneaky armpit, the relationship between these variables caught our attention, and we simply couldn't resist digging deeper into the data.
Air pollution is a hot topic, and not just because it makes the atmosphere sizzle. With increasing global concern about its detrimental effects on human health and the environment, researchers are eager to sniff out any unexpected implications. Meanwhile, Snoop Dog, with his undeniable charisma and catchy tunes, has been floating on the waves of pop culture like a laid-back surfer catching some Cali rays. But who would have thought these seemingly unrelated elements could collide in such a funky way?
As we embark on this journey, it's important to recognize the relevance of conducting research in uncharted territories. Like a funky beat, the thrill of uncovering new connections and shedding light on unforeseen relationships is at the heart of scientific exploration. Who knows, perhaps by the end of this study, we'll all be rolling in the green with our newfound understanding of nature's influence on our musical tastes!

[[RESULTS]]
Our investigation into the connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for Snoop Dog has resulted in some intriguing findings. The statistical analysis revealed a strong positive correlation of 0.8149822, indicating a robust relationship between the two variables. This correlation coefficient suggests a strong association, but it's not just hot air - the r-squared value of 0.6641959 indicates that approximately 66.42% of the variability in Google searches for Snoop Dog can be explained by changes in air pollution levels. It's clear that this connection is not just blowing smoke!
The p-value of less than 0.01 further solidifies the significance of our findings, providing strong evidence that the observed relationship is not due to random chance. As the air quality in Berlin took a turn for the smoggier, there was a notable surge in searches for the iconic rapper. It seems the residents of Berlin were not only gasping for clean air but also reaching for the nearest search engine to quench their thirst for Snoop Dog's distinct brand of music and charisma.
The scatterplot (Fig. 1) paints a compelling picture of the relationship between air pollution and Google searches for Snoop Dog. Like a pair of harmonious notes, the data points align in a way that visually exemplifies the strength of the correlation. It's as if the pollution particles and Snoop's signature rhymes were dancing together in perfect harmony, underlining the unexpected symmetry between environmental conditions and musical inclinations.
In conclusion, our study not only uncovers a remarkable link between air pollution and popular culture but also serves as a gentle reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. It seems that here in Berlin, New Hampshire, when the air gets hazy, the internet gets blazin' with searches for Snoop Dog. As we wrap up our findings, we've come to appreciate that in the grand symphony of life, even the most seemingly unrelated variables can come together in a catchy melody. So, next time you're feeling a little foggy about research possibilities, just remember - there may be some unexpected rap workings at play!

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In the midst of this comedic cacophony of research findings, it's time to wrap up our investigation into the unexpected yet undeniable connection between air pollution in Berlin, New Hampshire, and Google searches for the one and only Snoop Dog. Our study has shed light on the potent association, leaving us feeling like we've unraveled a mysterious, musical puzzle – it's as if statistical significance and rap stars were destined to collide in a wild symphony of data.

As we draw the curtain on this unconventional tale of scientific inquiry, it's hard not to crack a smile at the thought that, just like a catchy hook, our findings have hit all the right notes. Perhaps it's time to give a round of 'ap-paws' for the surprising harmony between smoggy atmospheres and Snoop Dog's magnetic allure.

In the grand finale of our academic escapade, we can confidently say that no more research is needed in this area. It seems we've uncovered the 'gin and juice' of this correlation, leaving us all with an unexpected, yet thoroughly satisfying, research experience.


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 Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Unlikely Correlations


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 Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Quirky Research and Unconventional Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Sniffing Out Snoop Dog: The Link Between Berlin's Dirty Air and Google Searches for the Furry Rapper with an abstract of In this study, we set out to investigate the unlikely connection between air pollution levels in Berlin, New Hampshire, and the frequency of Google searches for the notorious rapper, Snoop Dog. As we delved into the data from the Environmental Protection Agency and Google Trends, it became clear that there was more to this correlation than meets the eye. With a correlation coefficient of 0.8149822 and a p-value of less than 0.01 for the time period spanning from 2004 to 2023, the evidence was compelling.
Our findings shed light on the intriguing relationship between environmental factors and pop culture interests. It seems that as the air quality in Berlin deteriorates, more residents turn to the internet in search of Snoop Dog – perhaps as a way to escape the smoggy reality or to simply Snoop around for some fresh air!
This study not only provides a novel perspective on the influence of air pollution on human behavior but also offers a lighthearted reminder that sometimes, the most unexpected connections can emerge from the most unlikely sources. After all, who would have thought that analyzing air pollution data could lead us down the Snoop Dogg's Doggystyle?

ChatGPT:

Berlin air pollution, Snoop Dog searches, correlation coefficient, p-value, environmental factors, pop culture interests, Snoop Dogg, air quality, Google Trends, Berlin, New Hampshire, EPA data

*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 pollution in Berlin, New Hampshire
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in Berlin, NH-VT
Source: Environmental Protection Agency
See what else correlates with Air pollution in Berlin, New Hampshire

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

See what else correlates with Google searches for 'snoop dog'

Correlation r = 0.8149822 (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 = 0.6641959 (Coefficient of determination)
This means 66.4% of the change in the one variable (i.e., Google searches for 'snoop dog') is predictable based on the change in the other (i.e., Air pollution in Berlin, New Hampshire) over the 20 years from 2004 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.21E-5. 0.0000120638140852920580000000
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 0.81 in 0.00121% of random cases. Said differently, if you correlated 82,893 random variables You don't actually need 82 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 19 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 19 because we have two variables measured over a period of 20 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.58, 0.92 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!


All values for the years included above: If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
20042005200620072008200920102011201220132014201520162017201820192020202120222023
Air pollution in Berlin, New Hampshire (Bad air quality days)0.04471540.0573770.01224490.06198350.03846150.003289470.01381220.005617980.01095890.0054794500.0197740.01095890.008426970.0110701000.0055555600.0110497
Google searches for 'snoop dog' (Rel. search volume)50.833367.916740.583338.532.916724.333321.2524.666717.7513.583317.517.916715.2511.259.416678.916679.416678.7513.333310.4444




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([0.0447154,0.057377,0.0122449,0.0619835,0.0384615,0.00328947,0.0138122,0.00561798,0.0109589,0.00547945,0,0.019774,0.0109589,0.00842697,0.0110701,0,0,0.00555556,0,0.0110497,])
array_2 = np.array([50.8333,67.9167,40.5833,38.5,32.9167,24.3333,21.25,24.6667,17.75,13.5833,17.5,17.9167,15.25,11.25,9.41667,8.91667,9.41667,8.75,13.3333,10.4444,])
array_1_name = "Air pollution in Berlin, New Hampshire"
array_2_name = "Google searches for 'snoop dog'"

# 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: 4689 · Black Variable ID: 21506 · Red Variable ID: 1526
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