Question: 36. Refer to Problem 35. (a) Estimate 2 and the standard error of 0 and 1. (b) Find 95% confidence intervals for 0

36. Refer to Problem 35.

(a) Estimate σ2 and the standard error of ˆ β0 and ˆ β1.

(b) Find 95% confidence intervals for β0 and β1.

692 15 Simple Linear Regression Analysis

(c) Determine the sample correlation coefficient between X and Y.

(d) Test the hypothesis H0 : ρ = 0 versus H1 : ρ = 0. Use α = 0.05. Find the p-value.

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