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MATH 541-Suppose you fit the first-order multiple regression model

by | Dec 1, 2023 | Posted Questions

Suppose you fit the first-order multiple regression model y=?0+?1×1+?2×2+? to n equals n=25 data points and obtain the prediction equation y = -86.43+10.57×1+1.99×2. The estimated standard deviations of the sampling distributions of ?1 and ?2 are 1.26 and 0.31?, respectively.

a. Test H0: ?1 =0 against 0Ha: ?1?0. Use ?=0.10.

b. Find a95?% confidence interval for ?2. 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 ?2 lies in this interval. ( , )

?(Type whole? number.)

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