# Confidence interval for beta 1

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## Confidence interval for beta 1

Suppose you fit the first-order multiple regression model y = b0 + b1*x1 + b2*x2 + e

to n = 25 data points and obtain the prediction equation y^ = 28.41 + 2.24x1 + 2*x2.

The estimated standard deviations of the sampling distributions of beta 1

and beta2 are 0.42 and 0.32, respectively.

a. Test H0: b1 = 0 against Ha: b1 > 0. Use alpha = 0.10

b. Fine a 95% confidence interval for b2. Interpret the interval