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Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.

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Repeated Points and R^2

I am taking a Linear Regression class and am a bit confused with $R^2$ and repeat points (i.e. more than one y value at the same x value). … I ask because I am trying to do the following problem (from Introduction to Linear Regression by Montgomery, Peck and Vinning): Prove that the maximum value of $R^2$ is less than 1 if the data contain …
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