Discussion
When the correlation coefficient r = ±1, then the two regression lines :
Answer: B
When r = ±1 the two regression lines Coincide.
The angle between the regression line of Y on X and that of X on Y depends on the correlation coefficient. With perfect correlation, all points lie exactly on a straight line, so predicting Y from X and X from Y gives the same line: the two regression lines coincide.
When r = 0 the lines are perpendicular (one parallel to each axis), which is the trap in the first option. The lines always meet at the point of the means, so they are never parallel, and they are not indeterminate.
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