Editing 1725: Linear Regression
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==Explanation== | ==Explanation== | ||
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{{w|Linear regression}} is a method for modeling the relationship between multiple variables. In the simplest case, it can be used for two variables wherein the model determines a "{{w|least squares|best-fit}}" line through a {{w|scatter plot}} of the datasets, together with a {{w|coefficient of determination}}, usually denoted ''r''<sup>2</sup> or ''R''<sup>2</sup>. When only two variables are included in the regression, ''R''<sup>2</sup> is merely the square of the correlation between the two variables. ''R''<sup>2</sup> is a number between 0 and 1 that indicates how well one variable can be used to predict the value of another. A value of 1 means perfect correlation, while a value close to 0 indicates a weak relationship between the variables. | {{w|Linear regression}} is a method for modeling the relationship between multiple variables. In the simplest case, it can be used for two variables wherein the model determines a "{{w|least squares|best-fit}}" line through a {{w|scatter plot}} of the datasets, together with a {{w|coefficient of determination}}, usually denoted ''r''<sup>2</sup> or ''R''<sup>2</sup>. When only two variables are included in the regression, ''R''<sup>2</sup> is merely the square of the correlation between the two variables. ''R''<sup>2</sup> is a number between 0 and 1 that indicates how well one variable can be used to predict the value of another. A value of 1 means perfect correlation, while a value close to 0 indicates a weak relationship between the variables. | ||
− | + | {{w|Constellation}}s are patterns created by linking the apparent positions of stars. Different civilizations have recognized different constellations (the modern IAU, for example, lists 88 "official" constellations), and one could create their own constellations by connecting assorted points. | |
In this comic, a set of data has had linear regression and some form of statistical analysis applied to it, indicating that there is low correlation between the two. The data points are so widely scattered that (as noted in the comic) it is easier to connect the data points in a constellation-like pattern than it is to determine whether the correlation is negative or positive (without looking at the trendline, of course). Because of this, [[Randall]] suggests we should be suspicious of any conclusions drawn from this data. | In this comic, a set of data has had linear regression and some form of statistical analysis applied to it, indicating that there is low correlation between the two. The data points are so widely scattered that (as noted in the comic) it is easier to connect the data points in a constellation-like pattern than it is to determine whether the correlation is negative or positive (without looking at the trendline, of course). Because of this, [[Randall]] suggests we should be suspicious of any conclusions drawn from this data. | ||
− | + | "Rexthor the Dog bearer" seems to be a spoof on Thor, a Norse god who wields a hammer. | |
− | + | By replacing his hammer with a dog and adding "Rex" (an archetypal dog name), Randall creates a comical, dog-bearing version of Thor. | |
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− | The teapot may be a reference to | + | The mention of a teapot may be a reference to [https://en.wikipedia.org/wiki/Russell%27s_teapot Russell's teapot]. |
==Transcript== | ==Transcript== | ||
− | + | {{incomplete transcript}} | |
+ | [A two-panel comic with a caption underneath drawn in a combination of black and red. The two panels show an identical square of scattered black dots, with only the red additions being different. A black caption is written below, spanning both panels.] | ||
− | + | [The left panel shows a slightly rising red line drawn through the middle of the panel, passing near a few dots but not obviously related to most of them] | |
:<span style="color:red">R<sup>2</sup>=0.06</span> | :<span style="color:red">R<sup>2</sup>=0.06</span> | ||
− | + | [The right panel shows many of the dots connected by red lines to form a stick figure of a man resembling the constellation Orion, with the hand on the reader's right raised and holding an object.] | |
:<span style="color:red">Rexthor, the Dog-Bearer</span> | :<span style="color:red">Rexthor, the Dog-Bearer</span> | ||
− | + | [The caption below is black and applies to both panels.] | |
:I don't trust linear regressions when it's harder to guess the direction of the correlation from the scatter plot than to find new constellations on it. | :I don't trust linear regressions when it's harder to guess the direction of the correlation from the scatter plot than to find new constellations on it. | ||
{{comic discussion}} | {{comic discussion}} | ||
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