Standard deviations of the sampling distributions

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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.)

Reference no: EM131763930

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