Regression Slope Formula and Properties
Consider the following statements regarding a least-squares regression analysis between attendance (x) and popcorn sales (y).
I. The slope of the regression line for predicting x from y is given by $$b = r \times\frac{s_x}{s_y}$$.
II. If $$r = 0.8$$, $$s_x = 50$$, and $$s_y = 20$$, the slope for predicting x from y is $$0.8 \times \frac{50}{20} = 2$$.
III. The regression line for predicting y from x has the same slope as the regression line for predicting x from y.
Which of the following statements is or are correct?
A
I and III are true.
B
Only I is true.
C
Only II is true.
D
I and II are true.
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