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AI explanation

^{Show image generation prompt} Model: dalle-3
Prompt: Certainly! Here's an image generation prompt to create an intriguing visual that captures the essence of the given scene in a sci-fi fantasy style: Prompt: Generate an image of a laptop screen displaying a bustling digital universe. In the center of the screen, there is a prominent search bar with "Rick and Morty" as a popular Google search. Around the search bar, countless individuals of diverse appearances and species are seen looking at the screen with fascination. Simultaneously, the laptop screen reveals a YouTube comment section filled with a wave of insightful and thought-provoking interactions under a 3Blue1Brown video. The scene should convey an interconnected flow where the fascination with "Rick and Morty" leads to a heightened engagement with intellectually stimulating content. The environment should symbolize a portal into a world of deep discussions about math and science. Enhancement: Ensure that the digital universe surrounding the laptop screen is teeming with diverse alien species and futuristic technology. The individuals gazing at the screen should be portrayed with intense curiosity and wonder. Within the YouTube comment section, the interactions should visually represent a cascade of glowing data streams and symbols, conveying the exchange of complex ideas and knowledge. The laptop itself should emanate a soft, otherworldly glow, emphasizing its role as a gateway between the realms of entertainment and intellectual exploration. The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.

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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: Google searches for 'rick and morty' and Total comments on 3Blue1Brown YouTube videos. 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: Sci-fi fantacy Psychedelic An image that looks like it is a scene from 'Star Wars' A photo-realistic image A Discovery magazine cover image
ChatGPT: Sci-fi fantasy

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 Google searches for 'rick and morty' and Total comments on 3Blue1Brown YouTube videos, in the following situation: The more people who watch Rick and Morty, the smarter they become. This leads them to seek out and engage with intellectually stimulating content like 3Blue1Brown, resulting in a surge of thought-provoking comments. It's like a portal gun for expanding their minds and diving into discussions about math and science. Wubba lubba dub dub, let's delve into some calculus, Morty!. Keep the description simple.
ChatGPT: In a bustling digital universe, the search bar of a laptop screen shows "Rick and Morty" as a popular Google search, capturing the attention of numerous individuals. Meanwhile, the comment section of a 3Blue1Brown YouTube video is flooded with a wave of insightful and thought-provoking interactions, showcasing the heightened engagement with intellectually stimulating content. The scene portrays an interconnected flow, where the fascination with Rick and Morty leads to a thirst for intellectual conversations, symbolizing a portal into the world of deep discussions about math and science.

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: [ Sci-fi fantasy ] and depicting this scene: In a bustling digital universe, the search bar of a laptop screen shows "Rick and Morty" as a popular Google search, capturing the attention of numerous individuals. Meanwhile, the comment section of a 3Blue1Brown YouTube video is flooded with a wave of insightful and thought-provoking interactions, showcasing the heightened engagement with intellectually stimulating content. The scene portrays an interconnected flow, where the fascination with Rick and Morty leads to a thirst for intellectual conversations, symbolizing a portal into the world of deep discussions about math and science. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Certainly! Here's an image generation prompt to create an intriguing visual that captures the essence of the given scene in a sci-fi fantasy style: Prompt: Generate an image of a laptop screen displaying a bustling digital universe. In the center of the screen, there is a prominent search bar with "Rick and Morty" as a popular Google search. Around the search bar, countless individuals of diverse appearances and species are seen looking at the screen with fascination. Simultaneously, the laptop screen reveals a YouTube comment section filled with a wave of insightful and thought-provoking interactions under a 3Blue1Brown video. The scene should convey an interconnected flow where the fascination with "Rick and Morty" leads to a heightened engagement with intellectually stimulating content. The environment should symbolize a portal into a world of deep discussions about math and science. Enhancement: Ensure that the digital universe surrounding the laptop screen is teeming with diverse alien species and futuristic technology. The individuals gazing at the screen should be portrayed with intense curiosity and wonder. Within the YouTube comment section, the interactions should visually represent a cascade of glowing data streams and symbols, conveying the exchange of complex ideas and knowledge. The laptop itself should emanate a soft, otherworldly glow, emphasizing its role as a gateway between the realms of entertainment and intellectual exploration.

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*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.

AI academic paper

Rick and Morty Fandom's Insightful Odyssey: A Correlation Analysis with Total Reddit Comments on 3Blue1Brown YouTube Videos The Journal of Interdimensional Studies Jan 2024 Reminder: This paper is AI-generated. Not real!

Problem variable:	Which variable has a problem? Google searches for 'rick and morty' Total comments on 3Blue1Brown YouTube videos Neither / both
Issue:	What is the issue? The data is incorrect The chart isn't displaying properly There is a typo The source link is incorrect A calculation is wrong Something else
Additional details: Optional
Confirm you are a human:

Data details

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^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.
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^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.
4. Very low n: There are not many data points included in this analysis. Even if the p-value is high, we should be suspicious of using so few datapoints in a correlation.

Try it yourself

# 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([10.6667,12,43.1667,17.25,19.6667,18.25,17.6667,16.5,10.6667,])
array_2 = np.array([11378,44414,116727,43142,45749,49671,15247,28567,29827,])
array_1_name = "Google searches for 'rick and morty'"
array_2_name = "Total comments on 3Blue1Brown YouTube videos"

# 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

• 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 Google searches for 'rick and morty'
• Line chart for only Total comments on 3Blue1Brown YouTube videos
• AI-generated correlation image
• The spurious research paper: Rick and Morty Fandom's Insightful Odyssey: A Correlation Analysis with Total Reddit Comments on 3Blue1Brown YouTube Videos