Suppose you fit the? first-order multiple regression model y=β0+β1x1+β2x2+ε to n equals n=25 data points and obtain the prediction equation y = -86.43+10.57x1+1.99x2. The estimated standard deviations of the sampling distributions of β1 and β2 are 1.26 and 0.31?, respectively.
a. Test H0: β1 =0 against 0Ha: β1≠0. Use α=0.10.
b. Find a 95?% confidence interval for β2. Interpret the interval.
a. The test statistic is jQuery20002610618797710281_1512872969734??
?(Round to three decimal places as? needed.)
The? p-value is ???
?(Round to three decimal places as? needed.)
b. What is the confidence? interval?
?(Round to three decimal places as? needed.)
Interpret this interval.
We are 95?% confident that the true value of β2 lies in this interval. ( , )
?(Type whole? number.)