APFIVE Regression Slope Formula and Properties
I. The slope of the regression line for predicting attendance (x) from popcorn sales (y) is given by $$b = r \times\frac{s_x}{s_y}$$.
II. For example, if $$r = 0.8$$, $$s_x = 50$$, and $$s_y = 20$$, then the slope for predicting attendance from popcorn sales is $$0.8 \times \frac{50}{20} = 2$$.
III. The regression line for predicting popcorn sales from attendance and the regression line for predicting attendance from popcorn sales have identical slopes.
Which of these statements is/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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