A real estate developer wishes to study the relationship between the size of home a client will purchase (in square feet) and other variables. Possible independent variables include the family income, family size, whether there is a senior adult parent living with the family (1 for yes, 0 for no), and the total years of education beyond high school for the husband and wife. The sample information is reported below.
Family | Square Feet | Income (000s) | Family Size | Senior Parent | Education | |||||
1 | 2,300 | 60.8 | 2 | 0 | 4 | |||||
2 | 2,300 | 68.4 | 3 | 1 | 6 | |||||
3 | 3,400 | 104.5 | 3 | 0 | 7 | |||||
4 | 3,360 | 89.3 | 4 | 1 | 0 | |||||
5 | 3,000 | 72.2 | 4 | 0 | 2 | |||||
6 | 2,900 | 114 | 3 | 1 | 10 | |||||
7 | 4,100 | 125.4 | 5 | 0 | 6 | |||||
8 | 2,500 | 83.6 | 3 | 0 | 8 | |||||
9 | 4,200 | 133 | 5 | 0 | 2 | |||||
10 | 2,800 | 95 | 3 | 0 | 6 |
a. Develop an appropriate multiple regression equation using
stepwise regression. (Use Excel data analysis and enter
number of family members first, then their income and delete any
insignificant variables. Leave no cells blank - be certain to enter
"0" wherever required. R and R2 adj are in percent values.
Round your answers to 3 decimal places.)
Step | 1. | 2. |
Constant | ||
Family Size | ||
T-Statistic | ||
P-value | ||
Income | ||
t-statistic | ||
p-value | ||
S | ||
R-Sq | ||
R-Sq (Adj) |
a. Select all independent variables that should be in the final model is Income , Family size
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