Question

Consider the following table:

Source	SS	DF	MS	Test Statistic
Regression	??	3		2.29
Error	4766.5
Total	8040.34	13

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Step 1 of 9:

Calculate the Sum of Squared Regression. Round your answer to two decimal places, if necessary.

Consider the following table:

Source	SS	DF	MS	Test Statistic
Regression		3		2.29
Error	4766.5	??
Total	8040.34	13

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Step 2 of 9:

Calculate the Degrees of Freedom among Error.

Consider the following table:

Source	SS	DF	MS	Test Statistic
Regression		3	??	2.29
Error	4766.5
Total	8040.34	13

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Step 3 of 9:

Calculate the Mean Squared Regression. Round your answer to two decimal places, if necessary.

Source	SS	DF	MS	Test Statistic
Regression		3		2.29
Error	4766.5		??
Total	8040.34	13

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Step 4 of 9:

Calculate the Mean Squared Error. Round your answer to two decimal places, if necessary.

Step 5 of 9:

How much of the variation in the dependent variable is explained by the regression? Round your answer to two decimal places, if necessary.

Step 6 of 9:

What proportion of the variation is explained by the regression? Round your answer to two decimal places, if necessary.

Step 7 of 9:

What is the estimated variance of the error terms? Round your answer to two decimal places, if necessary.

Step 8 of 9:

What is the total variability of the dependent variable? Round your answer to two decimal places, if necessary

Step 9 of 9:

What is the variance of the dependent variable? Round your answer to two decimal places, if necessary.

Answer 1

Step - 1: Sum of squared regression = 8040.34 - 4766.5 = 3273.84

Step - 2: Degrees of freedom error = 13 - 3 = 10

Step - 3: Mean squared regression = 3273.84/3 = 1091.28

Step - 4: Mean squared error = 4766.5/10 = 476.65

Step - 5: Variation in the dependent variable is explained by the regression = Sum of squared regression = 3273.84

Step - 6: Proportion of the variation is explained by the regression = SSR/SST = 3273.84/8040.34 = 0.41

Step - 7: Estimated variance of error terms = MSE = 476.65

Step - 8: Total variability of dependent variable = SS Total = 8040.34

Step - 9: Variance of the dependent variable = SST / df(Total) = 8040.34/13 = 618.49