I fit a simple linear regression model and estimated ˆ 1 = 1.22 with 95 percent

Question

I fit a simple linear regression model and estimated ˆ 1 = 1.22 with 95 percent confidence interval (1.00, 1.44). How to I interpret that interval?

a. In repeated sampling and model fitting, 95 percent of the confidence intervals so constructed would fall between 1.00 and 1.44.

b. With probability 0.95, the population slope 1 will be between 1.00 and 1.44.

c. With probability 0.95, the population slope 1 > 0.

d. In repeated sampling and model fitting, 95 percent of the intervals so constructed would contain the true population slope 1 e. None of these / cannot say

Explanation / Answer

Given : ˆ 1 = 1.22 The 95 percent confidence interval is (1.00, 1.44)

Interprtation : d. In repeated sampling and model fitting, 95 percent of the intervals so constructed would contain the true population slope 1

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