Consider the following table:
Source | SS | DF | MS | Test Statistic |
---|---|---|---|---|
Regression | 2268.92268.9 | 1134.451134.45 | 2.82.8 | |
Error | ?? | |||
Total | 6325.56325.5 | 1212 |
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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 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.
Source | SS | df | MS | F |
regression | 2268.900 | 2 | 1134.450 | 2.80 |
error | 4056.600 | 10 | 405.660 | |
total | 6325.500 | 12 |
Step 1 of 9:
Sum of Squared Error =4056.6
Step 2 of 9:
Degrees of Freedom among Regression =2
Step 3 of 9:
Degrees of Freedom among Error =10
Step 4 of 9:
Mean Squared Error =405.66
Step 5 of 9:
How much of the variation in the dependent variable is explained by the regression =2268.90
Step 6 of 9:
proportion of the variation is explained by the regression =(2268.9/6325.5)=0.36
Step 7 of 9:
estimated variance of the error terms =405.66
Step 8 of 9:
total variability of the dependent variable =6325.50
Step 9 of 9: variance of the dependent variable =6325.5/12 =527.13
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