Suppose you fit the first order multiple regression model y : 0 +1x1 + 2x2 +e to

Question

Suppose you fit the first order multiple regression model y : 0 +1x1 + 2x2 +e to n-25 data points and obtain the prediction equation y=-1 10.41 + 4.1 4x1 +7.45x2. The estimated standard deviations of the sampling distributions of 1 and 2 are 0.58 and 1.13, respectively. a. Test Hoh-o against Ha: 2 >0. Use = 0.05. b. Find a 99% confidence interval for 1. Interpret the interval a. The test statistic is Round to three decimal places as needed.) The p-value is Round to three decimal places as needed.) the null hypothesis. There | | sufficient evidence to support the alternative hypothesis. b. What is the confidence interval? Round to three decimal places as needed.) Interpret this interval. We are 96 confident that the true value of 1 lies in this interval. (Type a whole number)

Explanation / Answer

a)

test statistic =estimate/std error =7.45/1.13 =6.593

p value =0.0000

reject the null... there is sufficient...........

b)

for (n-3 =22) df critical t at 99% CI =2.819

hence 99% CI =mean +t*std error =4.14 -/+ 2.819*0.56 =2.561 ; 5.719

we are 99% confident.....

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