Question

In: Statistics and Probability

Consider the following set of dependent and independent variables. Use this data to complete parts a...

Consider the following set of dependent and independent variables. Use this data to complete parts a and b below.

Construct a​ 95% confidence interval for the regression coefficient for x1

y   x1   x2
10   2   15
14   7   8
15   5   12
17   9   12
22   6   0
23   12   9
29   13   5
33   20   2

a. The​ 95% confidence interval for the true population coefficient B1 is _____ to _____. (Round to three decimal places as​ needed.)

b. Construct a​ 95% confidence interval for the regression coefficient for x2.

The​ 95% confidence interval for the true population coefficient β2 is ______ to _____. ​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

Above problem is solved using Minitab, output vof Minitab is attached below,

a) 95% CI for Beta 1 is ( 0.451,1.506)

b) 95% CI for Beta 2 is ( -1. 128, 0.014)

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