Question

Compute the least-squares regression line for predicting y from x given the following summary statistics, Round the slope and
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Answer #1

Answer: ŷ = 433.2804 - 37.6455x

Solution:

The regression line is given as below:

ŷ = a + bx

Where, we have

b = r*Sy/Sx

a = Ybar – b*Xbar

So, by using given information, we have

b = r*Sy/Sx

b = -0.82*101/2.2

b = -37.6455

a = Ybar – b*Xbar

a = 102 - (-37.6455)*8.8

a = 433.2804

ŷ = a + bx

ŷ = 433.2804 - 37.6455x

Answer: ŷ = 433.2804 - 37.6455x

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