Suppose you fit the first-order multiple regression model

Y = B₀+ B₁X₁+ B₂X₂+ e

to n = 25 data points and obtain the prediction equation

Y = 21.25+ 2.96X₁+ 2.3X₂

The estimated standard deviations of the sampling distributions of B₁and B₂are 0.50 and 0.33, respectively.

a. Test H0: B₁= 0 against Ha: B₁> 0. Use Alpha = 0.10.

to find this out determine test statistic and P-value

b. Find a 95% confidence interval for B₁.

c. Interpret the interval.

We are ___% confident that the true value of B2 lies in this interval