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Consider the following regression based on hypothetical data. We hypothesize tha

ID: 3224661 • Letter: C

Question

Consider the following regression based on hypothetical data. We hypothesize that age, height, and income affect people’s weight. So we run a regression analysis of data from a random sample of 25 people, with weight (in pounds) as the dependent variable and age (x variable 1, in years), height (x variable 2, in inches), and income (x variable 3, in $1,000) as the independent variables. Here is the ANOVA portion of the regression output from Excel:

df

SS

MS

F

Significance F

Regression

3

3632.450015

1210.817

18.0679

4.97641E-06

Residual

21

1407.309985

67.01476

Total

24

5039.76



The F-statistics tells us that __________.

df

SS

MS

F

Significance F

Regression

3

3632.450015

1210.817

18.0679

4.97641E-06

Residual

21

1407.309985

67.01476

Total

24

5039.76

Explanation / Answer

The answer to this question is :

The overall model is statistically significant at 5% significance level

The F-statistic is 4.97641E-06

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