..1 T-Mobile LTE 8:00 PM online.tamuc.org 48) In a multiple regression equation

Question

..1 T-Mobile LTE 8:00 PM online.tamuc.org 48) In a multiple regression equation two independent variables are considered and the sample size is 25· The regression coefficients and thc standard errors arc as follows. Conduct a test hypothesis independent variables has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use 0.05 significance level. to determine whether either 49) Refer problem no 2 on page 14-9 Using the dummy variable method how would you perform analysis of variance on this data, you do not have to calculate anything just explain 50) Refer the following information SouceD Regressio 1500 Enor Total Predictor Coef Sde Constant -15000 9000 2 500 500 300.0010000 060 015 a. Complete the ANOVA table and write the estimated equation b. Conduct a global test of hypothesis using the 0.05 Can you conclude that any of the net significance level. regression coefficients are different from zero

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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