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lackson, Billie June final exam-Microsoft Word non-commercial use ences Mailings

ID: 3313478 • Letter: L

Question

lackson, Billie June final exam-Microsoft Word non-commercial use ences MailingsReview View 54) From the following analysis of variance Analysis of Variance Source Regression Ermor Total SS MS 100 20 40 140 20 PredictorCof Stdev t-a5 Constant 300150 2.00 x2 x3 X4 xs 4.00300 1.33 3.00· 020 15. 020 0.05 4.00 250100 250 3.00 40 0.75 1. 2. 3 What is the sample size? Compute the value of R square tompute the multiple standard error ofestimate 4. Conduct a global test of hypothesis to determine whether any of the regression coefficients are significant. Use the 0,05 significance level. 5. Test the regression coefficients individually or if we are going to take out any variable which one would that be? Use the 0.05 significance level

Explanation / Answer

1) sample size =total degree of freedom +1 =25+1 =26

2)R square =SSR/SST =100/140 =0.714

3)multiple std error of estimate =(MSE)1/2 =(40)1/2 =6.325

4)for 0.05 level and (5,20) degree of freedom crtiical F =2.7109

test statistic F =MSR/MSE =20/2 =10

as test statistic F is greater then critical value ;we reject null hypothesis

we have suffciient evidence to conclude that regression coefficient are significant.

5)

for (n-p) =(26-6=20) degree of freedom and 0.05 level crtiial t =-/+2.086

from above table constant , predictor X1 and X5 does not have values in critical region

therefore they must be taken out