Regression Slope Formula and Properties

Question

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 $$b = r 	imes\frac{s_x}{s_y}$$.

II. If $$r = 0.8$$, $$s_x = 50$$, and $$s_y = 20$$, the slope for predicting x from y is $$0.8 	imes \frac{50}{20} = 2$$.

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?

Accepted Answer

I and II are true.

Answer

Only I is true.

Answer

I and III are true.

Answer

Only II is true.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	halllais304	1	1	0m 59s	41
#2	dobaonam8386	1	1	1m 26s	14
#3	jung.seowoo09	1	1	1m 35s	5
#4	js6366795	0	1	0m 00s	0
#5	seowooj1	1	4	4m 59s	-229
#6	js6366795	0	2	17m 07s	-1,047

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