Question

Consider the following table:

Source	SS	DF	MS	Test Statistic
Regression	2268.9		1134.45	2.8
Error	?
Total	6325.5	12

Copy Data

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 Degrees of Freedom among Error.

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 of 9:

SSE = SST + SSR = 6325.5 - 2268.9 = 4056.6

Step 2 of 9:

Degrees of Freedom among Regression = 2268.9/1134.45 = 2

Step 3 of 9:

Degrees of Freedom among Error = 12-2 = 10

Step 4 of 9:

Mean Squared Error = 4056.6/10 = 405.66

Step 5 of 9:

There is 2268.9 amount of variation in the dependent variable that is explained by the regression.

Step 6 of 9:

Proportion of the variation that is explained by the regression = SSR/SSE

= 2268.9/ 4056.6

= 0.5593 = 55.93%

Step 7 of 9:

Estimated variance of the error terms = MSE = 405.66

Step 8 of 9:

Total variability of the dependent variable = 6325.5

Step 9 of 9:

Variance of the dependent variable = SST/df)total) = 6325.5/12 = 527.125

ANOVA
Source of Variation	SS	df	MS	F
Between Groups	2268.9	2	1134.45	2.8
Within Groups	4056.6	10	405.66
Total	6325.5	12