1. Measuring Variation: How Values Differ
If you bear with me through this entire book, or even just some of it, you’ll read a considerable amount of material about variability: how numbers that go together in some way also differ from one another. That’s because variation—actually, shared variation—is at the heart of regression analysis. When two or more variables share variance, that means they’re quantitatively related. For example, if the correlation coefficient between two variables is 0.5, they share 25% of their variance: The proportion of shared variance is the square of the correlation coefficient.
So it’s hardly exaggerating to say that ...
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