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AI explanation

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image of a 3D Pixar-style scene set in a charming Delaware community. This cozy neighborhood is bustling with sonographers and statisticians gathered together in a warmly lit local space. The sonographers engage in animated conversations, their curiosity for math evident in their expressions. Meanwhile, a group of statisticians is absorbed in thought, poring over charts and graphs, deciphering the correlation between differential equations and video length. In the background, large screens play Stand-up Maths videos, showcasing increasingly intricate mathematical concepts. The overall scene exudes a sense of intellectual curiosity and collaboration, capturing the newfound appreciation for math within the community. 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: The number of sonographers in Delaware and Average length of Stand-up Maths 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: 3D Pixar Style Woodblock painting Symbolism 3D Pixar Style Woodblock painting
ChatGPT: 3D Pixar Style

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 The number of sonographers in Delaware and Average length of Stand-up Maths YouTube videos, in the following situation: As the number of sonographers in Delaware increased, more and more residents started to appreciate the intricate patterns and calculations involved in ultrasound images. This sparked a statewide interest in all things math-related, leading viewers to demand longer and more in-depth Stand-up Maths videos. This unexpected ripple effect has even caught the attention of local statisticians, who are now trying to measure the correlation between differential equations and video length. It seems like the exponential growth in sonographers has truly multiplied the average length of Stand-up Maths, creating a geometrically longer viewing experience for all.. Keep the description simple.
ChatGPT: In a cozy Delaware community, as the number of sonographers increased, so did the curiosity and appreciation for math. This newfound interest led to a surge in demand for Stand-up Maths videos. Now, in a local gathering, a group of statisticians are deep in thought, analyzing the correlation between differential equations and video length, while videos play in the background, displaying longer and more intricate mathematical concepts.

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: [ 3D Pixar Style ] and depicting this scene: In a cozy Delaware community, as the number of sonographers increased, so did the curiosity and appreciation for math. This newfound interest led to a surge in demand for Stand-up Maths videos. Now, in a local gathering, a group of statisticians are deep in thought, analyzing the correlation between differential equations and video length, while videos play in the background, displaying longer and more intricate mathematical concepts. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a 3D Pixar-style scene set in a charming Delaware community. This cozy neighborhood is bustling with sonographers and statisticians gathered together in a warmly lit local space. The sonographers engage in animated conversations, their curiosity for math evident in their expressions. Meanwhile, a group of statisticians is absorbed in thought, poring over charts and graphs, deciphering the correlation between differential equations and video length. In the background, large screens play Stand-up Maths videos, showcasing increasingly intricate mathematical concepts. The overall scene exudes a sense of intellectual curiosity and collaboration, capturing the newfound appreciation for math within the community.

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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

The Sound of Statistics: A Sonographic Study of Stand-up Maths Video Length Journal of Comedic Research Jan 2024 Reminder: This paper is AI-generated. Not real!

Problem variable:	Which variable has a problem? The number of sonographers in Delaware Average length of Matt Parker's 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.

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([90,120,130,160,150,160,180,190,180,200,260,250,])
array_2 = np.array([194.5,345.333,243.667,843.5,484.4,735.898,733.833,638.625,700.172,1009.8,1556.52,1288.42,])
array_1_name = "The number of sonographers in Delaware"
array_2_name = "Average length of Matt Parker's 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 The number of sonographers in Delaware
• Line chart for only Average length of Matt Parker's YouTube videos
• AI-generated correlation image
• The spurious research paper: The Sound of Statistics: A Sonographic Study of Stand-up Maths Video Length