PRC-2 · Chapter 10 · Question 57 of 60
If you calculate the regression line of Y on X, and then subsequently calculate the regression line of X on Y, under what strict mathematical condition will the two lines graphically be perfectly identical?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) When r = +1 or -1
Explanation
The regression line of Y on X minimizes vertical errors, while X on Y minimizes horizontal errors. These two lines will only perfectly superimpose over each other if there is a perfect correlation (r = +1 or -1), meaning zero scatter error.
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