Construct both a 95% and a 90% confidence interval for ?1

Chapter 11, Problem 41E

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QUESTION:

Problem 41E

Construct both a 95% and a 90% confidence interval for β1 for each of the following cases:

a. = 31, s = 3, SSxx = 35, n = 10

b.  = 64, SSE = 1,960, SSxx = 30, n = 14

c.  = -8.4, SSE = 146, SSxx = 64, n = 20

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QUESTION:

Problem 41E

Construct both a 95% and a 90% confidence interval for β1 for each of the following cases:

a. = 31, s = 3, SSxx = 35, n = 10

b.  = 64, SSE = 1,960, SSxx = 30, n = 14

c.  = -8.4, SSE = 146, SSxx = 64, n = 20

ANSWER:

Step 1 of 8

a)  Given

The estimated standard error  is given by

     

 is based on (n - 2) = 8 degrees of freedom, and, for

Therefore, 95% confidence interval for the slope , is

 

That is,  

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