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Construct both a 95% and a 90% confidence interval for ?1
Chapter 11, Problem 41E(choose chapter or problem)
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
Questions & Answers
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,