Refer the following information DF 5 15 20 Source Regressio Error Total MS 1500

Question

Refer the following information DF 5 15 20 Source Regressio Error Total MS 1500 2000 Predictor Coef Constant 150.00 X1 X2 X3 X4 X5 Stdev 90.00 2000. 00 500.00 25.00 5.00 300.00 100.00 0.60 30.00 5.00 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 c. Conduct a test of hypothesis on each of the regression coefficients. Could you delete any of the variables

Explanation / Answer

a.

Estimated equation

y^ = -150.00 + 2000.00 X1 -25.00 X2 + 5 X3 -300 X4 + 0.60 X5

b. The global test of hypothesis using the 0.05 significance level.

H0 : i = 0

Ha : at least one of the is significant here.

We will do F - test here.

F = 9

F(Critical) = F0.05,5,15 = 2.9013

so here F > F(critical) so we shall reject the null hypothesis and can conclude that the model is overall significant here.

(c) Here the significance table is given below

We can exclude X2 and X3 here.

ANOVA df SS MS F Regression 5 1500 300 9 Residual 15 500 33.33333 Total 20 2000

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