# Question

Suppose you fit the first-order multiple-regression model

y = β0 + β1x1 + β2x2 + ε

to n = 25 data points and obtain the prediction equation

y = 6.4 + 3.1x1 + .92x2

The estimated standard deviations of the sampling distributions of β1 and β2 are 2.3 and .27, respectively.

a. Test H0: β1 = 0 against Ha: β1 > 0. Use α = .05.

b. Test H0: β2 = 0 against Ha: β2 ≠ 0. Use α = .05.

c. Find a 90% confidence interval for β1. Interpret the interval.

d. Find a 99% confidence interval for β2. Interpret the interval.

y = β0 + β1x1 + β2x2 + ε

to n = 25 data points and obtain the prediction equation

y = 6.4 + 3.1x1 + .92x2

The estimated standard deviations of the sampling distributions of β1 and β2 are 2.3 and .27, respectively.

a. Test H0: β1 = 0 against Ha: β1 > 0. Use α = .05.

b. Test H0: β2 = 0 against Ha: β2 ≠ 0. Use α = .05.

c. Find a 90% confidence interval for β1. Interpret the interval.

d. Find a 99% confidence interval for β2. Interpret the interval.

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