50) Refer the following information SourceDF Regressio 5 15 20 sS 1500 MS Error

Question

50) Refer the following information SourceDF Regressio 5 15 20 sS 1500 MS Error Total 2000 Predictor Coef Stdev Constant 150.00 90.00 x1 x2 X3 X4 X5 2000.00 500.00 -25.00 30.00 5.00 5.00 300.00 100.00 0.60 0.15 a. Complete the ANOVA table and write the estimated equation b. Conduct a global test of hypothesis using the 0.05 significance level. Can you conclude that any of the net regression coefficients are different from zero a test of hypothesis on each of the regression coefficients. Could you delete any c. Conduct of the variables

Explanation / Answer

SSE = SST-SSR

MS = SS/ DF

F= MSR / MSE

Hypothesis :

H0 = coefficients are all zero

H1= coefficients are not all zero ( at least one of them nonzero)

reject H0 if F exceeds F 0.05,5,15

F 0.05,5,15 =2.90129453

F = 9

F>F 0.05,5,15

So, we reject the null hupothesis.

i,e, at least one of the net regression coefficient are different from zero.

source df SS MS F regresion 5 1500 300 9 error 15 500 33.33333 total 20 2000 333.3333

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