Question

18. Compute the least-squares regression line for predicting y from x given the following summary statistics:...

18.

Compute the least-squares regression line for predicting y from x given the following summary statistics:

x̄ = 8.1  sx = 1.2 ȳ = 30.4 sy = 1.9 r = −0.85

Please show your work.

Math   Statistics-And-Probability   
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Answer #1

ANSWER:

Given data;

x̄ = 8.1  sx = 1.2 

ȳ = 30.4 sy = 1.9 r = −0.85

The regression equation here if given as:

Y = a + bX

The slope of the regression equation is first computed as:

b= -1.3458

Now the value of a here is computed as:

a = 41.3010

Therefore the regression equation line is now given as:

Y= a+bx

= 41.3010+(-1.3458)X

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