Question: Refer to the following ANOVA table Source DF SS MS F Regression 2 78.764 39.382 4.182 Residual Error 62 583.797 9.416 Total 64 662.561 a)

Refer to the following ANOVA table

Source DF SS MS F
Regression 2 78.764 39.382 4.182
Residual Error 62 583.797 9.416
Total 64 662.561

a) How large was the sample?

Sample size ---------

b) How many independent variables are there?

c) How many dependent variables are there?

d-1) Compute the standard error of estimate?( Round final answer to 3 decimal places)

d-2) About 95% of the residuals be between what two values? ( Round the final answers to 3 decimal places and negative answer indicate by minus sign)

e-1) Determine the coefficient of multiple determination. ( Final answer to 3 decimal places)

e-2) Determine the percentage variation for the independent variables. ( Final answer to 1 decimal place)

2. In a multiple regression equation two independent variables are considered, and the sample size is 28. The regression coefficients and the standard errors are the following:

b2 = 2.595

b2 = -0.790

sb1 = 0.39

sb2 = 0.56

Conduct a test of hypothesis to determine whether independent variables has a coefficient equal to zero. Would you consider deleting either variables from the regression equation? Use the 0.05 significance level? ( Round final answer to 3 decimal places)

H0 : 1 = 0 H0 : 2 = 0

H1 : 1= 0 H1 : 2= 0

H0 is rejected if t < -2.060 or t > 2.060

t1 = ----- t2 = ---------

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