Question

Consider the following table:

Source	SS	DF	MS	Test Statistic
Regression	?	3		3.99
Error	3127.08
Total	6245.79	15

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Step 1 of 9: Calculate the Sum of Squared Error. Round your answer to two decimal places, if necessary.

Step 2 of 9: Calculate the Degrees of Freedom among Regression.

Step 3 of 9: Calculate the Mean Squared Regression. Round your answer to two decimal places, if necessary.

Step 4 of 9: Calculate the value of the test statistic. 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

Source	SS	DF	MS	Test Statistic
Regression	3118.71	3	1039.57	3.99
Error	3127.08	12	260.59
Total	6245.79	15

Step 1 of 9: Calculate the Sum of Squared Error. Round your answer to two decimal places, if necessary

answer: SSE = 3127.08

.

Step 2 of 9: Calculate the Degrees of Freedom among Regression.

answer: 3

Step 3 of 9: Calculate the Mean Squared Regression. Round your answer to two decimal places, if necessary.

answer:1039.57

Step 4 of 9: Calculate the value of the test statistic. Round your answer to two decimal places, if necessary.

answer:3.99

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.

answer:R² = SSR/SST=3118.71/6245.79 = 0.4993

49.93% of the variation in the dependent variable is explained by the regression

Step 6 of 9:

0.4993 proportion of the variation is explained by the regression

Step 7 of 9:

estimated variance of the error terms=260.59

Step 8 of 9:

total variability of the dependent variable=6245.79

Step 9 of 9: What is the variance of the dependent variable? Round your answer to two decimal places, if necessary.

variance of the dependent variable = SST/(n-1) = 6245.79/15=416.39