Spurious correlation #3,099 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is UFO sightings in New Mexico and the second variable is Patents granted in the US. The chart goes from 1975 to 2020, and the two variables track closely in value over that time.

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is UFO sightings in New Mexico and the second variable is Patents granted in the US. The chart goes from 1975 to 2020, and the two variables track closely in value over that time.

Download png, svg

AI explanation

The influx of intergalactic inspiration in New Mexico led to an explosion of creative scientific ideas, spurring a wave of groundbreaking inventions and technological advancements. It turns out, alien innovation is the real secret behind some of our greatest patented achievements!

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image of a small town in the heart of New Mexico, bathed in the multicolored neon glow of a Vaporwave aesthetic. Focus on the starry night sky, where an enigmatic UFO hovers in the air, emitting a soft, otherworldly light. Below, a group of curious residents are gathered, their silhouettes outlined by the surreal radiance. Adjacent to the town, a workshop comes to life with vibrant hues, where a team of inventors is immersed in the process of sketching and prototyping alien-inspired technologies. In the background, an eye-catching display of patents granted in the US decorates the wall, featuring a series of innovative inventions that were born from the recent surge in UFO sightings. 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: UFO sightings in New Mexico and Patents granted in the US. 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: Vaporwave A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Whimsical illustration Parallax 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 UFO sightings in New Mexico and Patents granted in the US, in the following situation: Because the increase in UFO sightings in New Mexico led to a surge in alien-inspired innovation, resulting in more patents granted in the US.. Keep the description simple.
ChatGPT: In a small town in New Mexico, a group of residents gazed up at the night sky, spotting a glowing UFO hovering above the desert landscape. Meanwhile, in a nearby workshop, a team of inventors was hard at work, sketching and prototyping new alien-inspired technologies. In the backdrop, a wall covered with patents granted in the US showcased their inventions, all inspired by the recent surge in UFO sightings.

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: In a small town in New Mexico, a group of residents gazed up at the night sky, spotting a glowing UFO hovering above the desert landscape. Meanwhile, in a nearby workshop, a team of inventors was hard at work, sketching and prototyping new alien-inspired technologies. In the backdrop, a wall covered with patents granted in the US showcased their inventions, all inspired by the recent surge in UFO sightings. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a small town in the heart of New Mexico, bathed in the multicolored neon glow of a Vaporwave aesthetic. Focus on the starry night sky, where an enigmatic UFO hovers in the air, emitting a soft, otherworldly light. Below, a group of curious residents are gathered, their silhouettes outlined by the surreal radiance. Adjacent to the town, a workshop comes to life with vibrant hues, where a team of inventors is immersed in the process of sketching and prototyping alien-inspired technologies. In the background, an eye-catching display of patents granted in the US decorates the wall, featuring a series of innovative inventions that were born from the recent surge in UFO sightings.

*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.
^{Show prompt for explanation} Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in UFO sightings in New Mexico caused Patents granted in the US to increase.

AI academic paper

(Because p < 0.01)

The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

The Journal of Interstellar Innovation Studies

Jan 2024

Reminder: This paper is AI-generated. Not real!

^{Show prompt used to generate this paper} 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 goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 UFO sightings in New Mexico and Patents granted in the US. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

[[ABSTRACT]]
In this study, we investigate the association between reported UFO sightings in New Mexico and the number of patents granted in the United States. Utilizing data from the National UFO Reporting Center and the United States Patent and Trademark Office, we analyzed the period from 1975 to 2020. Our analysis unveiled a remarkable correlation coefficient of 0.9369681 between these seemingly unrelated phenomena, with a p-value less than 0.01. These findings beg the question - are extraterrestrial entities secretly influencing technological advancements on our planet, or are our earthbound inventors simply inspired by the skies that may not be entirely their own? This study sheds light on these peculiar connections and leaves us pondering the mysteries of the cosmos and our own inventive spirits.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The phenomenon of unidentified flying objects (UFOs) has long captured the imagination of the public, often prompting wild speculation, conspiracy theories, and perhaps a few too many viewings of the movie "Independence Day". While the subject of UFOs has been a constant source of fascination, it has also been treated with ample skepticism within the scientific community. However, recent years have seen a shift in attitudes, with a growing number of researchers granting the topic a more serious consideration. This is where our study comes in - to boldly go where few researchers have gone before and investigate the potential impact of UFO sightings on the invention of gadgets and gizmos.
New Mexico, often affectionately referred to as the "Land of Enchantment," has gained notoriety for more than just its stunningly beautiful landscapes and green chili-infused cuisine. It also holds the dubious honor of being one of the U.S. states with the highest number of reported UFO sightings. This raises the question: could there be a link between these otherworldly encounters and the inventive prowess of our fellow earthlings? Our study aims to uncover any potential correlation between these seemingly disparate phenomena. Strap in, folks - we're about to embark on a journey that's equal parts X-Files and Shark Tank.
As much as we'd love to dive straight into the juicy details, let's first lay the groundwork for our investigation. The history of patent granting in the United States is a labyrinthine maze of legal intricacies and creative ingenuity. As inventors clamor to protect their creations and secure a sweet slice of intellectual property rights, the United States Patent and Trademark Office stands as the gatekeeper, scrutinizing each innovation with a discerning eye. Remember, folks, behind every "patent pending" label is a tale of sleepless nights and countless cups of coffee - or, for the inventors in New Mexico, perhaps a late-night rendezvous with a beam of extraterrestrial inspiration.
So, we find ourselves at a crossroads where the realms of extraterrestrial sightings and patented inventions intersect. As we delve into the depths of this enigmatic connection, fellow researchers, skeptics, and UFO enthusiasts alike may be scratching their heads, wondering if we've sampled from Roswell's famed alien-themed cafes one too many times. Fear not, dear reader, for we approach this exploration with the same scientific rigor and curiosity that has propelled mankind to the furthest reaches of the universe and the quirkiest corners of human innovation.
Our investigation into the New Mexico Extraterrestrial Effect promises to shed light on a phenomenon as mysterious as flying saucers themselves. So, grab your tinfoil hats and adjust your telescopes - it's time to uncover the galactic influence on our earthly inventions.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

In the exploration of the intersection between UFO sightings in New Mexico and patents granted in the United States, a plethora of studies have attempted to shed light on the potential correlations and implications. Smith et al. (2010) conducted a comprehensive analysis of reported UFO sightings in relation to technological advancements during the latter half of the 20th century, positing intriguing hypotheses that challenged traditional scientific paradigms. Meanwhile, Doe and Jones (2015) delved into the historical archives of patent granting, uncovering anecdotal evidence of inventors claiming otherworldly inspiration for their creations.

Moving beyond the terrestrial realm, "The Extraterrestrial Influence on Human Inventions" by Lorem and Ipsum (2005) introduced a thought-provoking hypothesis that proposed the clandestine role of extraterrestrial entities in shaping human technological progress. Their work ignited debates within academic circles, with some hailing it as visionary and others dismissing it as pure science fiction. However, amidst this sea of scholarly discourse, one cannot overlook the influential contributions of non-fiction works such as "The UFO Phenomenon: Fact or Fiction" by K. Mulder (1998) and "Alien Encounters and Patent Grants: An Unlikely Connection" by S. Scully (2012).

On the more speculative end of the spectrum, fictional literature has also made its mark in the arena of UFO phenomena and technological innovation. "Close Encounters of the Patentable Kind" by A. Clarke (1977) presented a whimsical yet thought-provoking narrative that blurred the boundaries between fiction and potential technological realities. In a similar vein, "The Martian Patents" by A. Weir (2014) captivated readers with a tale of survival and ingenuity set against the backdrop of extraterrestrial mysteries.

Not to be outdone, the realm of animated entertainment has also left its imprint on the collective consciousness, with cartoons like "The Jetsons" and "Futurama," and children's shows such as "My Favorite Martian" and "Jimmy Neutron: Boy Genius," intricately weaving threads of futuristic inventions and intergalactic encounters. While these may be deemed as lighthearted forms of media, one cannot underestimate the subtle influence they wield in shaping societal perceptions of technological possibilities and otherworldly interactions.

As we wade through this eclectic mix of literature, it becomes apparent that the enigmatic connection between UFO sightings and patent grants transcends the boundaries of traditional scholarly discourse, inviting a multidimensional exploration that balances scientific inquiry with a sense of wonderment. With this vivid tapestry of insights as our backdrop, we venture forth into the depths of our investigation, eager to unravel the cosmic mysteries that may hold sway over human creativity and innovation.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 UFO sightings in New Mexico and Patents granted in the US. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from National UFO Reporting Center and USPTO . You used data from 1975 to 2020

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

[[ABSTRACT]]
In this study, we investigate the association between reported UFO sightings in New Mexico and the number of patents granted in the United States. Utilizing data from the National UFO Reporting Center and the United States Patent and Trademark Office, we analyzed the period from 1975 to 2020. Our analysis unveiled a remarkable correlation coefficient of 0.9369681 between these seemingly unrelated phenomena, with a p-value less than 0.01. These findings beg the question - are extraterrestrial entities secretly influencing technological advancements on our planet, or are our earthbound inventors simply inspired by the skies that may not be entirely their own? This study sheds light on these peculiar connections and leaves us pondering the mysteries of the cosmos and our own inventive spirits.

[[INTRODUCTION]]
The phenomenon of unidentified flying objects (UFOs) has long captured the imagination of the public, often prompting wild speculation, conspiracy theories, and perhaps a few too many viewings of the movie "Independence Day". While the subject of UFOs has been a constant source of fascination, it has also been treated with ample skepticism within the scientific community. However, recent years have seen a shift in attitudes, with a growing number of researchers granting the topic a more serious consideration. This is where our study comes in - to boldly go where few researchers have gone before and investigate the potential impact of UFO sightings on the invention of gadgets and gizmos.
New Mexico, often affectionately referred to as the "Land of Enchantment," has gained notoriety for more than just its stunningly beautiful landscapes and green chili-infused cuisine. It also holds the dubious honor of being one of the U.S. states with the highest number of reported UFO sightings. This raises the question: could there be a link between these otherworldly encounters and the inventive prowess of our fellow earthlings? Our study aims to uncover any potential correlation between these seemingly disparate phenomena. Strap in, folks - we're about to embark on a journey that's equal parts X-Files and Shark Tank.
As much as we'd love to dive straight into the juicy details, let's first lay the groundwork for our investigation. The history of patent granting in the United States is a labyrinthine maze of legal intricacies and creative ingenuity. As inventors clamor to protect their creations and secure a sweet slice of intellectual property rights, the United States Patent and Trademark Office stands as the gatekeeper, scrutinizing each innovation with a discerning eye. Remember, folks, behind every "patent pending" label is a tale of sleepless nights and countless cups of coffee - or, for the inventors in New Mexico, perhaps a late-night rendezvous with a beam of extraterrestrial inspiration.
So, we find ourselves at a crossroads where the realms of extraterrestrial sightings and patented inventions intersect. As we delve into the depths of this enigmatic connection, fellow researchers, skeptics, and UFO enthusiasts alike may be scratching their heads, wondering if we've sampled from Roswell's famed alien-themed cafes one too many times. Fear not, dear reader, for we approach this exploration with the same scientific rigor and curiosity that has propelled mankind to the furthest reaches of the universe and the quirkiest corners of human innovation.
Our investigation into the New Mexico Extraterrestrial Effect promises to shed light on a phenomenon as mysterious as flying saucers themselves. So, grab your tinfoil hats and adjust your telescopes - it's time to uncover the galactic influence on our earthly inventions.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

To explore the potential linkage between UFO sightings in New Mexico and the number of patents granted in the United States, we embarked on a data-gathering odyssey that would have made even the most intrepid UFO hunter proud. Our intrepid research team scoured the vast expanse of the internet, navigating the tumultuous seas of information to anchor our study in a trove of data from the National UFO Reporting Center and the United States Patent and Trademark Office. With our sights set on the period from 1975 to 2020, we cast our net wide, embracing the wild and wacky world of UFO sightings and the stately abode of patent granting with equal fervor.

Firstly, we meticulously sifted through the reported UFO sightings in the enchanting state of New Mexico, extracting a treasure trove of accounts that ranged from the peculiar and improbable to the downright otherworldly. Each sighting was scrutinized with the care and attention one might afford to a cryptic crossword puzzle, ensuring that no cosmic encounter escaped our purview. Whether it was a flickering light in the night sky or a close encounter of the third kind, we embraced every report with the cautious glee of a scientist yearning for a glimpse of the unexplained.

In tandem with our extraterrestrial escapades, we turned our gaze to the vast landscape of patents granted in the United States. With the United States Patent and Trademark Office as our lodestar, we charted a course through the labyrinthine corridors of technological innovation. Our mission: to identify, categorize, and quantify the inventive marvels that had been welcomed into the elite realm of patented creations. Each patent application became a testament to human ingenuity, and we spared no effort in scrutinizing the rich tapestry of inventive prowess that lay within.

With our data in hand, we set about the task of crunching numbers and unearthing patterns with the precision of an alien probing a terrestrial specimen. Our statistical analysis was no mere stroll in the park – it was a proverbial rocket launch into the uncharted territories of correlation coefficients, p-values, and regression analyses. Through these rigorous methods, we sought to unveil any potential relationships between UFO sightings in New Mexico and the ebb and flow of patented innovations in the United States.

It is worth noting that our findings may potentially open a wormhole into the unexplored realms of causation versus correlation. While we cannot definitively assert a causal link between UFO sightings and patent granting, the sheer magnitude of the correlation coefficient and the tantalizingly small p-value beckon us to consider the possibility of an otherworldly influence on our earthly inventions. As we journey deeper into the heart of our analysis, we invite fellow researchers, skeptics, and enthusiasts to join us on this cosmic escapade, where the gravitational pull of curiosity is matched only by the awe-inspiring force of imagination.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 UFO sightings in New Mexico and Patents granted in the US. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from National UFO Reporting Center and USPTO .

For the time period 1975 to 2020, you found a correlation 0.9369681, r-squared of 0.8779092, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

[[ABSTRACT]]
In this study, we investigate the association between reported UFO sightings in New Mexico and the number of patents granted in the United States. Utilizing data from the National UFO Reporting Center and the United States Patent and Trademark Office, we analyzed the period from 1975 to 2020. Our analysis unveiled a remarkable correlation coefficient of 0.9369681 between these seemingly unrelated phenomena, with a p-value less than 0.01. These findings beg the question - are extraterrestrial entities secretly influencing technological advancements on our planet, or are our earthbound inventors simply inspired by the skies that may not be entirely their own? This study sheds light on these peculiar connections and leaves us pondering the mysteries of the cosmos and our own inventive spirits.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The phenomenon of unidentified flying objects (UFOs) has long captured the imagination of the public, often prompting wild speculation, conspiracy theories, and perhaps a few too many viewings of the movie "Independence Day". While the subject of UFOs has been a constant source of fascination, it has also been treated with ample skepticism within the scientific community. However, recent years have seen a shift in attitudes, with a growing number of researchers granting the topic a more serious consideration. This is where our study comes in - to boldly go where few researchers have gone before and investigate the potential impact of UFO sightings on the invention of gadgets and gizmos.
New Mexico, often affectionately referred to as the "Land of Enchantment," has gained notoriety for more than just its stunningly beautiful landscapes and green chili-infused cuisine. It also holds the dubious honor of being one of the U.S. states with the highest number of reported UFO sightings. This raises the question: could there be a link between these otherworldly encounters and the inventive prowess of our fellow earthlings? Our study aims to uncover any potential correlation between these seemingly disparate phenomena. Strap in, folks - we're about to embark on a journey that's equal parts X-Files and Shark Tank.
As much as we'd love to dive straight into the juicy details, let's first lay the groundwork for our investigation. The history of patent granting in the United States is a labyrinthine maze of legal intricacies and creative ingenuity. As inventors clamor to protect their creations and secure a sweet slice of intellectual property rights, the United States Patent and Trademark Office stands as the gatekeeper, scrutinizing each innovation with a discerning eye. Remember, folks, behind every "patent pending" label is a tale of sleepless nights and countless cups of coffee - or, for the inventors in New Mexico, perhaps a late-night rendezvous with a beam of extraterrestrial inspiration.
So, we find ourselves at a crossroads where the realms of extraterrestrial sightings and patented inventions intersect. As we delve into the depths of this enigmatic connection, fellow researchers, skeptics, and UFO enthusiasts alike may be scratching their heads, wondering if we've sampled from Roswell's famed alien-themed cafes one too many times. Fear not, dear reader, for we approach this exploration with the same scientific rigor and curiosity that has propelled mankind to the furthest reaches of the universe and the quirkiest corners of human innovation.
Our investigation into the New Mexico Extraterrestrial Effect promises to shed light on a phenomenon as mysterious as flying saucers themselves. So, grab your tinfoil hats and adjust your telescopes - it's time to uncover the galactic influence on our earthly inventions.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The analysis of the data revealed a striking correlation coefficient of 0.9369681 between reported UFO sightings in New Mexico and the number of patents granted in the United States from 1975 to 2020. This correlation coefficient indicates a strong positive relationship between these two variables.

Furthermore, the coefficient of determination (r-squared) was found to be 0.8779092, suggesting that approximately 87.79% of the variability in patent grants can be explained by the variability in UFO sightings. In simpler terms, it seems that UFO sightings may have a significant influence on the innovative output of the good folks crafting patents.

The p-value obtained was less than 0.01, indicating that the correlation observed is statistically significant. This means that the likelihood of observing such a strong relationship between UFO sightings and patent grants due to random chance is less than 1 in 100. In other words, it's more likely for a UFO to land in your backyard than for this relationship to be a fluke.

Fig. 1 displays a scatterplot illustrating the robust correlation between reported UFO sightings in New Mexico and the number of patents granted in the United States. For some reason, the scatterplot seems to resemble a constellation, which is quite fitting considering our subject matter.

These findings support the notion that there may indeed be a tangible connection between extraterrestrial visitations and our terrestrial penchant for invention. The implications of this correlation leave us pondering the interstellar stimuli that may be subtly guiding the innovative endeavors of our earthly inventors.

In summary, our investigation into the 'New Mexico Extraterrestrial Effect' has provided compelling evidence of a strong relationship between UFO sightings and patent grants in the United States. Whether it's alien inspiration, cosmic coincidences, or just a statistical quirk, the association between these phenomena certainly warrants further investigation and an eyebrow raise or two.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 UFO sightings in New Mexico and Patents granted in the US. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Limit your response to 500 tokens.

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

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

[[TITLE]]
The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

[[ABSTRACT]]
In this study, we investigate the association between reported UFO sightings in New Mexico and the number of patents granted in the United States. Utilizing data from the National UFO Reporting Center and the United States Patent and Trademark Office, we analyzed the period from 1975 to 2020. Our analysis unveiled a remarkable correlation coefficient of 0.9369681 between these seemingly unrelated phenomena, with a p-value less than 0.01. These findings beg the question - are extraterrestrial entities secretly influencing technological advancements on our planet, or are our earthbound inventors simply inspired by the skies that may not be entirely their own? This study sheds light on these peculiar connections and leaves us pondering the mysteries of the cosmos and our own inventive spirits.

[[LITERATURE REVIEW]]
In the exploration of the intersection between UFO sightings in New Mexico and patents granted in the United States, a plethora of studies have attempted to shed light on the potential correlations and implications. Smith et al. (2010) conducted a comprehensive analysis of reported UFO sightings in relation to technological advancements during the latter half of the 20th century, positing intriguing hypotheses that challenged traditional scientific paradigms. Meanwhile, Doe and Jones (2015) delved into the historical archives of patent granting, uncovering anecdotal evidence of inventors claiming otherworldly inspiration for their creations.
Moving beyond the terrestrial realm, "The Extraterrestrial Influence on Human Inventions" by Lorem and Ipsum (2005) introduced a thought-provoking hypothesis that proposed the clandestine role of extraterrestrial entities in shaping human technological progress. Their work ignited debates within academic circles, with some hailing it as visionary and others dismissing it as pure science fiction. However, amidst this sea of scholarly discourse, one cannot overlook the influential contributions of non-fiction works such as "The UFO Phenomenon: Fact or Fiction" by K. Mulder (1998) and "Alien Encounters and Patent Grants: An Unlikely Connection" by S. Scully (2012).
On the more speculative end of the spectrum, fictional literature has also made its mark in the arena of UFO phenomena and technological innovation. "Close Encounters of the Patentable Kind" by A. Clarke (1977) presented a whimsical yet thought-provoking narrative that blurred the boundaries between fiction and potential technological realities. In a similar vein, "The Martian Patents" by A. Weir (2014) captivated readers with a tale of survival and ingenuity set against the backdrop of extraterrestrial mysteries.
Not to be outdone, the realm of animated entertainment has also left its imprint on the collective consciousness, with cartoons like "The Jetsons" and "Futurama," and children's shows such as "My Favorite Martian" and "Jimmy Neutron: Boy Genius," intricately weaving threads of futuristic inventions and intergalactic encounters. While these may be deemed as lighthearted forms of media, one cannot underestimate the subtle influence they wield in shaping societal perceptions of technological possibilities and otherworldly interactions.
As we wade through this eclectic mix of literature, it becomes apparent that the enigmatic connection between UFO sightings and patent grants transcends the boundaries of traditional scholarly discourse, inviting a multidimensional exploration that balances scientific inquiry with a sense of wonderment. With this vivid tapestry of insights as our backdrop, we venture forth into the depths of our investigation, eager to unravel the cosmic mysteries that may hold sway over human creativity and innovation.

[[RESULTS]]
The analysis of the data revealed a striking correlation coefficient of 0.9369681 between reported UFO sightings in New Mexico and the number of patents granted in the United States from 1975 to 2020. This correlation coefficient indicates a strong positive relationship between these two variables.
Furthermore, the coefficient of determination (r-squared) was found to be 0.8779092, suggesting that approximately 87.79% of the variability in patent grants can be explained by the variability in UFO sightings. In simpler terms, it seems that UFO sightings may have a significant influence on the innovative output of the good folks crafting patents.
The p-value obtained was less than 0.01, indicating that the correlation observed is statistically significant. This means that the likelihood of observing such a strong relationship between UFO sightings and patent grants due to random chance is less than 1 in 100. In other words, it's more likely for a UFO to land in your backyard than for this relationship to be a fluke.
Fig. 1 displays a scatterplot illustrating the robust correlation between reported UFO sightings in New Mexico and the number of patents granted in the United States. For some reason, the scatterplot seems to resemble a constellation, which is quite fitting considering our subject matter.
These findings support the notion that there may indeed be a tangible connection between extraterrestrial visitations and our terrestrial penchant for invention. The implications of this correlation leave us pondering the interstellar stimuli that may be subtly guiding the innovative endeavors of our earthly inventors.
In summary, our investigation into the 'New Mexico Extraterrestrial Effect' has provided compelling evidence of a strong relationship between UFO sightings and patent grants in the United States. Whether it's alien inspiration, cosmic coincidences, or just a statistical quirk, the association between these phenomena certainly warrants further investigation and an eyebrow raise or two.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

The results of our study have unveiled a remarkable association between reported UFO sightings in New Mexico and the number of patents granted in the United States. These findings support and extend prior research in this area, delving into the cosmic web of intrigue surrounding UFOs and their potential influence on human innovation.

Revisiting the literature review, the work of Lorem and Ipsum (2005) introduced the provocative concept of extraterrestrial entities clandestinely shaping human technological progress. While initially dismissed as a far-fetched notion, our results lend credence to the possibility of such otherworldly influences. It seems our earthly inventors might have some unexpected celestial muses whispering in their ears.

Additionally, the anecdotal evidence uncovered by Doe and Jones (2015) regarding inventors claiming otherworldly inspiration for their creations takes on a new light in the context of our findings. It appears that these claims may not be as far-fetched as skeptics thought, as our study provides empirical support for the idea of unconventional sources of inspiration in the realm of patent granting.

Moving on to the statistical results, the correlation coefficient of 0.9369681 and the coefficient of determination of 0.8779092 demonstrate a strong and impactful relationship between UFO sightings and patent grants. One might even say the connection is out of this world – pun intended.

The implications of this peculiar correlation are as wide-reaching as the universe itself. Whether it's alien technologies subtly influencing our inventors or merely an uncanny statistical quirk, our results beckon a closer examination of the cosmic forces at play in our earthly endeavors. It seems the truth is indeed out there, and it may be closer to home than we ever imagined.

In the midst of this interstellar mystery, our study adds a touch of levity to the scientific discourse, reminding us that even in the pursuit of knowledge, a sprinkle of cosmic curiosity and a dash of otherworldly wonderment can spice up our scholarly endeavors. After all, who knows what extraterrestrial surprises lurk in the world of patent grants and technological innovations? It seems the sky's no longer the limit – or perhaps, it's just the beginning.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 UFO sightings in New Mexico and Patents granted in the US. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

[[ABSTRACT]]
In this study, we investigate the association between reported UFO sightings in New Mexico and the number of patents granted in the United States. Utilizing data from the National UFO Reporting Center and the United States Patent and Trademark Office, we analyzed the period from 1975 to 2020. Our analysis unveiled a remarkable correlation coefficient of 0.9369681 between these seemingly unrelated phenomena, with a p-value less than 0.01. These findings beg the question - are extraterrestrial entities secretly influencing technological advancements on our planet, or are our earthbound inventors simply inspired by the skies that may not be entirely their own? This study sheds light on these peculiar connections and leaves us pondering the mysteries of the cosmos and our own inventive spirits.

[[INTRDUCTION]]
The phenomenon of unidentified flying objects (UFOs) has long captured the imagination of the public, often prompting wild speculation, conspiracy theories, and perhaps a few too many viewings of the movie "Independence Day". While the subject of UFOs has been a constant source of fascination, it has also been treated with ample skepticism within the scientific community. However, recent years have seen a shift in attitudes, with a growing number of researchers granting the topic a more serious consideration. This is where our study comes in - to boldly go where few researchers have gone before and investigate the potential impact of UFO sightings on the invention of gadgets and gizmos.
New Mexico, often affectionately referred to as the "Land of Enchantment," has gained notoriety for more than just its stunningly beautiful landscapes and green chili-infused cuisine. It also holds the dubious honor of being one of the U.S. states with the highest number of reported UFO sightings. This raises the question: could there be a link between these otherworldly encounters and the inventive prowess of our fellow earthlings? Our study aims to uncover any potential correlation between these seemingly disparate phenomena. Strap in, folks - we're about to embark on a journey that's equal parts X-Files and Shark Tank.
As much as we'd love to dive straight into the juicy details, let's first lay the groundwork for our investigation. The history of patent granting in the United States is a labyrinthine maze of legal intricacies and creative ingenuity. As inventors clamor to protect their creations and secure a sweet slice of intellectual property rights, the United States Patent and Trademark Office stands as the gatekeeper, scrutinizing each innovation with a discerning eye. Remember, folks, behind every "patent pending" label is a tale of sleepless nights and countless cups of coffee - or, for the inventors in New Mexico, perhaps a late-night rendezvous with a beam of extraterrestrial inspiration.
So, we find ourselves at a crossroads where the realms of extraterrestrial sightings and patented inventions intersect. As we delve into the depths of this enigmatic connection, fellow researchers, skeptics, and UFO enthusiasts alike may be scratching their heads, wondering if we've sampled from Roswell's famed alien-themed cafes one too many times. Fear not, dear reader, for we approach this exploration with the same scientific rigor and curiosity that has propelled mankind to the furthest reaches of the universe and the quirkiest corners of human innovation.
Our investigation into the New Mexico Extraterrestrial Effect promises to shed light on a phenomenon as mysterious as flying saucers themselves. So, grab your tinfoil hats and adjust your telescopes - it's time to uncover the galactic influence on our earthly inventions.

[[RESULTS]]
The analysis of the data revealed a striking correlation coefficient of 0.9369681 between reported UFO sightings in New Mexico and the number of patents granted in the United States from 1975 to 2020. This correlation coefficient indicates a strong positive relationship between these two variables.
Furthermore, the coefficient of determination (r-squared) was found to be 0.8779092, suggesting that approximately 87.79% of the variability in patent grants can be explained by the variability in UFO sightings. In simpler terms, it seems that UFO sightings may have a significant influence on the innovative output of the good folks crafting patents.
The p-value obtained was less than 0.01, indicating that the correlation observed is statistically significant. This means that the likelihood of observing such a strong relationship between UFO sightings and patent grants due to random chance is less than 1 in 100. In other words, it's more likely for a UFO to land in your backyard than for this relationship to be a fluke.
Fig. 1 displays a scatterplot illustrating the robust correlation between reported UFO sightings in New Mexico and the number of patents granted in the United States. For some reason, the scatterplot seems to resemble a constellation, which is quite fitting considering our subject matter.
These findings support the notion that there may indeed be a tangible connection between extraterrestrial visitations and our terrestrial penchant for invention. The implications of this correlation leave us pondering the interstellar stimuli that may be subtly guiding the innovative endeavors of our earthly inventors.
In summary, our investigation into the 'New Mexico Extraterrestrial Effect' has provided compelling evidence of a strong relationship between UFO sightings and patent grants in the United States. Whether it's alien inspiration, cosmic coincidences, or just a statistical quirk, the association between these phenomena certainly warrants further investigation and an eyebrow raise or two.

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our study has revealed an eyebrow-raising correlation between reported UFO sightings in New Mexico and the number of patents granted in the United States. These findings suggest that perhaps the next time inventors in New Mexico exclaim "Eureka!" they might actually be greeting visitors from a certain gold-ringed planet. Our investigation has sparked new questions and unearthed a cosmos of possibilities. It's as if UFOs have been quietly whispering design blueprints to our inventors, or maybe the creators of patent-making gadgets are just huge fans of sci-fi.

While our findings offer a tantalizing glimpse into the cosmic forces at play in our inventive endeavors, we must also acknowledge the need for caution. Correlation does not imply causation, and there may be other earthly factors at play here. After all, it would be quite the plot twist if, in the end, it's just the green chili sauce that's fueling the inventive fires in New Mexico.

Hence, we urge future researchers to approach this area with an open mind and perhaps a pair of intergalactic goggles. As for us, we'll be over here, sipping our coffee, and waiting for the next UFO sighting to inspire an out-of-this-world invention. In the meantime, it seems that little green men might just be our secret weapon for innovation, and further research may not be necessary in this area - it's not rocket science, or maybe it is!

Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of academic journals. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding research, scientific, or academic journal that would publish a paper entited The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Interstellar Innovation Studies

Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Interstellar Studies and Innovation

Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States with an abstract of In this study, we investigate the association between reported UFO sightings in New Mexico and the number of patents granted in the United States. Utilizing data from the National UFO Reporting Center and the United States Patent and Trademark Office, we analyzed the period from 1975 to 2020. Our analysis unveiled a remarkable correlation coefficient of 0.9369681 between these seemingly unrelated phenomena, with a p-value less than 0.01. These findings beg the question - are extraterrestrial entities secretly influencing technological advancements on our planet, or are our earthbound inventors simply inspired by the skies that may not be entirely their own? This study sheds light on these peculiar connections and leaves us pondering the mysteries of the cosmos and our own inventive spirits.

ChatGPT:

UFO sightings, New Mexico, patents granted, United States, correlation coefficient, National UFO Reporting Center, United States Patent and Trademark Office, technological advancements, extraterrestrial influence, inventive spirits, mysteries of the cosmos

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

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Data details

UFO sightings in New Mexico
Detailed data title: UFO sightings reported in New Mexico
Source: National UFO Reporting Center
See what else correlates with UFO sightings in New Mexico

Patents granted in the US
Detailed data title: Total number of patents granted in the US
Source: USPTO
See what else correlates with Patents granted in the US

Correlation r = 0.9369681 (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 = 0.8779092 (Coefficient of determination)
This means 87.8% of the change in the one variable (i.e., Patents granted in the US) is predictable based on the change in the other (i.e., UFO sightings in New Mexico) over the 46 years from 1975 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.03E-21.^Show 0.0000000000000000000010274124
The p-value is a measure of how probable it is that we would randomly find a result this extreme.^Note 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 0.94 in 1.03E-19% of random cases. Said differently, if you correlated 973,318,990,504,689,270,784 random variables^Note You don't actually need 973 quintillion 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 45 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 45 because we have two variables measured over a period of 46 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, 0.96 ] 95% correlation confidence interval (using the Fisher z-transformation)
^{Read more about the confidence interval} 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: ^Note 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.

	1975	1976	1977	1978	1979	1980	1981	1982	1983	1984	1985	1986	1987	1988	1989	1990	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000	2001	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020
UFO sightings in New Mexico (UFO sightings)	2	3	6	5	3	1	3	1	2	3	1	2	2	7	3	3	8	3	5	9	6	8	21	25	29	33	28	41	41	37	31	59	48	54	48	36	35	66	81	109	68	75	78	57	82	75
Patents granted in the US (Patents granted)	76810	75388	69781	70514	52413	66170	71064	63276	61982	72650	77245	76862	89385	84272	102533	99077	106696	107394	109746	113587	113834	121696	124069	163142	169085	175979	183970	184375	187012	181299	157718	196405	182899	185224	191927	244341	247713	276788	302948	326032	325980	333583	351403	339992	391103	388900

Why this works

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.
Lack of causal connection: There is probably^Note 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.
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^Note 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. ^{Show the steps to do this.} 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([2,3,6,5,3,1,3,1,2,3,1,2,2,7,3,3,8,3,5,9,6,8,21,25,29,33,28,41,41,37,31,59,48,54,48,36,35,66,81,109,68,75,78,57,82,75,])
array_2 = np.array([76810,75388,69781,70514,52413,66170,71064,63276,61982,72650,77245,76862,89385,84272,102533,99077,106696,107394,109746,113587,113834,121696,124069,163142,169085,175979,183970,184375,187012,181299,157718,196405,182899,185224,191927,244341,247713,276788,302948,326032,325980,333583,351403,339992,391103,388900,])
array_1_name = "UFO sightings in New Mexico"
array_2_name = "Patents granted in the US"

# 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)

Reuseable content

You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. ^Note Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

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

When spoken, my last name is pronounced "vegan," like I don't eat meat.

Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.

Download images for these variables:

High resolution line chart ^Note The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.

If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
Portable line chart (png), optimized for mobile
Line chart for only UFO sightings in New Mexico
Line chart for only Patents granted in the US
AI-generated correlation image
The spurious research paper: The New Mexico Extraterrestrial Effect: Unveiling The Otherworldly Influence on Patent Granting in the United States

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Correlation ID: 3099 · Black Variable ID: 1175 · Red Variable ID: 848


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