A sample of 25 families was taken. The objective of the study was to estimate the factors that determine the monthly expenditure on food for families. The independent variables included in the analysis were the number of members in the family (X1), the number of meals eaten outside the home (X2), and a dummy variable (X3) that equals 1 if a family member is on a diet and equals 0 if there is no family member on a diet. The following results were obtained. Coefficients Standard Error Intercept 450.08 53.6 X1 49.92 9.6 X2 10.12 2.2 X3 -.60 12.0 SS Regression = 3,078.39 SS Residual = 2,013.90 a. Compute the coefficient of determination and explain its meaning. b. Compute the adjusted coefficient of determination and explain its meaning
A sample of 25 families was taken. The objective of the study was to estimate the factors that determine the monthly expenditure on food for families. The independent variables included in the analysis were the number of members in the family (X1), the number of meals eaten outside the home (X2), and a dummy variable (X3) that equals 1 if a family member is on a diet and equals 0 if there is no family member on a diet. The following results were obtained.
|
|
Coefficients |
Standard Error |
|
Intercept |
450.08 |
53.6 |
|
X1 |
49.92 |
9.6 |
|
X2 |
10.12 |
2.2 |
|
X3 |
-.60 |
12.0 |
SS Regression = 3,078.39
SS Residual = 2,013.90
a. Compute the coefficient of determination and explain its meaning.
b. Compute the adjusted coefficient of determination and explain its meaning
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