Apply Procedure 14.2 to find and interpret a confidence interval, at the specified confidence level, for the

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Apply Procedure 14.2 to find and interpret a confidence interval, at the specified confidence level, for the slope of the population regression line that relates the response variable to the predictor variable


Procedure 14.2

Purpose To find a confidence interval for the slope, β1, of the population regression line.

Assumptions The four assumptions for regression inferences


Step 1

For a confidence level of 1 — α, use to find ta/2 with df = n — 2.


Step 2

The endpoints of the confidence interval for ß1 are


Step 3

Interpret the confidence interval.

Refer to Exercise 14.63; 99%.


Exercise 14.63

Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.27. Use α = 0.01.

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