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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