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Real Estate Family Square Feet Income (000s) Family Size Work/home Education Squ

ID: 3060239 • Letter: R

Question

Real Estate Family Square Feet Income (000s) Family Size Work/home Education Square Feet Size of home purchased 1 2,771 46.9 3 0 4 Income (000s) Family Income 2 2,380 68.4 2 0 6 Family Size Number of individuals in the immediate family 3 3,283 104.5 3 1 10 Work/home 1 if breadwinner plans to work from home, 0 if not 4 3,119 94.1 3 0 0 Education Years of education after high school 5 3,217 50.6 3 1 2 6 2,595 114 3 0 8 7 4,480 125.4 6 1 6 8 2,520 83.6 3 0 4 9 4,200 133 5 1 2 10 2,800 95 3 0 6 11 3,876 97.2 4 1 8 12 2,230 58.3 2 0 4 A locel real estate developer wishes to study the relationship between the size of home a client will purchase (in squere feet) and other variables. Possible independent variables include breedwinner to work at home (1 for yes, O for no), and the total yeers of education beyond high school for the husband and wife. The semple information is contained in the file RealEstateChepter14 Mr. Robert Bostick s ea, estate broker who asked you to produce a model to predict the square footage a potential buyer would purchase. Based on the data the fie Real stateChapterl 4 s the overa" egression modes g ificant ifa . 0.057 Use the six-step process Write a memorandum to Mr. Bostick explaining if the model is significant and if so, which variables make a difference in the size of home a client might purchase Do you calculations in Excel and title the file "YourNameealEstateDeveloper" and submit before midnight on March 13. the family income, family size, whether there plans for the

Explanation / Answer

The multiple R squared of this model is 98% which means that these variables can explain about 98% of the variability in the response variable from the predictor variables.

The variable family size and education have a p-value of about 0.004 which is very low than significance level.

Hence, these two variables significantly affect the size of home.

SUMMARY OUTPUT Regression Statistics Multiple R 0.980433958 R Square 0.961250746 Adjusted R Square 0.939108315 Standard Error 179.5372594 Observations 12 ANOVA df SS MS F Significance F Regression 4 5597325.524 1399331.4 43.41216 4.9985E-05 Residual 7 225635.3925 32233.628 Total 11 5822960.917 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1562.054947 218.782745 7.1397539 0.000187 1044.71597 2079.393929 Income (000s) 2.171827375 2.987339985 0.7270104 0.490812 -4.8921092 9.235763905 Family Size 370.1428652 89.30585453 4.1446652 0.004324 158.968077 581.3176532 Work/home 607.2850118 149.2543133 4.0687937 0.004756 254.354645 960.2153783 Education -24.0304359 21.21999509 -1.132443 0.294743 -74.207751 26.14687879