12.8 Suppose you fit the first-order multiple-regression model y = Bo + B₁x₁ + ₂x₂ + ε to n = 25 data points and obtain

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12.8 Suppose you fit the first-order multiple-regression model y = Bo + B₁x₁ + ₂x₂ + ε to n = 25 data points and obtain

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12.8 Suppose you fit the first-order multiple-regression model y = Bo + B₁x₁ + ₂x₂ + ε to n = 25 data points and obtain the prediction equation ŷ = 6.4 + 3.1x₁ + .92x2 The estimated standard deviations of the sampling distri- butions of B₁ and ₂ are 2.3 and .27, respectively. a. Test Ho: P₁ = 0 against H₂: B₁ > 0. Use a = .05. b. Test Ho: P₂ = 0 against Ha: P20. Use a = .05. c. Find a 90% confidence interval for B₁. Interpret the interval. d. Find a 99% confidence interval for B2₂. Interpret the interval.
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