Question

A regression analysis was performed and the summary output is shown below. Regression Statistics Multiple R...

A regression analysis was performed and the summary output is shown below.

Regression Statistics
Multiple R 0.7149844700.714984470
R Square 0.5112027920.511202792
Adjusted R Square 0.4904029110.490402911
Standard Error 8.2079903998.207990399
Observations 5050
ANOVA
dfdf SSSS MSMS FF Significance FF
Regression 22 3311.5863311.586 1655.7931655.793 24.577224.5772 4.9491E-084.9491E-08
Residual 4747 3166.4423166.442 67.37167.371
Total 4949 6478.0286478.028

Step 1 of 2:

How many independent variables are included in the regression model?

Step 2 of 2:

Which measure is appropriate for determining the proportion of variation in the dependent variable explained by the set of independent variable(s) in this model?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(1) Degree of freedom for regression = 2

and we know that number of independent variable =df(regression) + 1

independent variables = 2 + 1 = 3

So, we have 3 independent variables in regression model.

(2) R square is appropriate for determining the proportion of variation in the dependent variable explained by the set of independent variable(s) in this model

Given that R square = 0.5112

this means that 51.12% of variation in the dependent variable explained by the set of independent variable(s) in this model

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