A real estate developer wishes to study the relationship between the size of hom
ID: 3158007 • Letter: A
Question
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.
a.
Develop an appropriate multiple regression equation using stepwise method. (Use excel data analysis and enter number of family members first, then their income and delete any insignificant variables. Round P-value to 3 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Round the Constant, Income values to 1 decimal place and T-value, R2,R2(adj) to 2 decimal places.)
b.
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.
Explanation / Answer
Regression Equation
Senior
Parent
0 Square Feet = 1350 + 15.54 Income (000s) + 245 Family Size - 90.2 Education
1 Square Feet = 1304 + 15.54 Income (000s) + 245 Family Size - 90.2 Education
Coefficients:
Model Summary
S: 309.506
R-sq : 89.32%
R-sq(adj) : 80.77%
all independent variables that should be in the final model: none of them at 5% level of significance since p-value >0.05.
Term Coef SE Coef T-Value P-Value VIF Constant 1350 500 2.70 0.043 2.34 Income (000s) 15.54 6.55 2.37 0.064 2.34 Family Size 245 144 1.70 0.150 2.70 Education -90.2 43.3 -2.09 0.091 1.66 Senior Parent 1 -46 229 -0.20 0.850 1.15