Suppose you fit the first order multiple regression model

Y = B₀ + B₁X_{1 +} B₂X_{2 +} e

to n = 25 data points and obtain the prediction equation

y hat = 6.4 + 3.1 X₁ + .92 X ₂

_{the estimate standard deviation of the sampling distribution of B hat 1 and B hat 2 are 2.3 and .27 respectively.}

A) H₀ : B_{1 =} 0 against H_a: B₁ > 0.Use alpha = .05

b) H₀: B_{1 =} 0 against H_a : B₁ not equal to 0. Use alpha = .05

c) find a 90% confidence. Interval for B_{1 .} Interprete the interval.

d) find a 99% confidence interval for B_{2. Interprete the interval.}