Editing Strong Bad Email Statistics
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[[Image:SBEScatter2.png|thumb|200px|right|A scatter plot of chronological number vs. length, with outliers removed.]] | [[Image:SBEScatter2.png|thumb|200px|right|A scatter plot of chronological number vs. length, with outliers removed.]] | ||
- | The scatter plot to the left illustrates the relationship between the email number and its corresponding runtime (the red plots for the | + | The scatter plot to the left illustrates the relationship between the email number and its corresponding runtime (the red plots for the original length, and the black plots including the Easter eggs). This can be mathematically modeled using a power regression curve, which allows us to measure the trend for email duration as well as predict the ongoing trend for future emails. The ''R²'' value for these curves identifies how strong this relationship is (how close the points are to the model): a value of 1 means that the model and the data are identical, while a 0 means that the model does not relate to the data at all. The equation for the black curve is <math>y = 21.079x^{0.4833}</math> and the equation for the red curve is <math>y = 20.652x^{0.4688}</math>, where ''x'' is the email's number and ''y'' is the runtime in seconds. |
- | + | There are certain emails {{--}} [[vacation]], [[flashback]], [[alternate universe]], [[retirement]], and [[parenting]] {{--}} whose lengths were much longer than the emails surrounding them, called ''outliers''. These emails can affect the accuracy of the model and, if removed, allow for greater accuracy. The graph on the right has the outliers removed, which subsequently improves the ''R²'' value for the curves. The black curve's equation becomes <math>y = 21.18x^{0.4801}</math> and the red equation becomes <math>y = 20.698x^{0.4664}</math>. For instance, this model gives us an estimate that email 500 would run six minutes and fifteen seconds (6:59 with Easter eggs); of course, it should be noted that these models are by no means a guarantee. | |
In the email [[theme song]], Strong Bad tells his viewers that each email is about 3 to 5 minutes long. Approximately half<!--104/209, 49.76%; counting w/o Easter eggs--> of all emails fall within this range; however, this length did not become the standard until the late Compy era. | In the email [[theme song]], Strong Bad tells his viewers that each email is about 3 to 5 minutes long. Approximately half<!--104/209, 49.76%; counting w/o Easter eggs--> of all emails fall within this range; however, this length did not become the standard until the late Compy era. |