The Excel file for this assignment contains a database with informa
The Excel file for this assignment contains a database with information about the tax assessment value assigned to medical office buildings in a city. The following is a list of the variables in the database:
- FloorArea: square feet of floor space
- Offices: number of offices in the building
- Entrances: number of customer entrances
- Age: age of the building (years)
- AssessedValue: tax assessment value (thousands of dollars)
Use the data to construct a model that predicts the tax assessment value assigned to medical office buildings with specific characteristics.
- Construct a scatter plot in Excel with FloorArea as the independent variable and AssessmentValue as the dependent variable. Insert the bivariate linear regression equation and r^2 in your graph. Do you observe a linear relationship between the 2 variables?
- Use Excel’s Analysis ToolPak to conduct a regression analysis of FloorArea and AssessmentValue. Is FloorArea a significant predictor of AssessmentValue?
- Construct a scatter plot in Excel with Age as the independent variable and AssessmentValue as the dependent variable. Insert the bivariate linear regression equation and r^2 in your graph. Do you observe a linear relationship between the 2 variables?
- Use Excel’s Analysis ToolPak to conduct a regression analysis of Age and Assessment Value. Is Age a significant predictor of AssessmentValue?
Construct a multiple regression model.
- Use Excel’s Analysis ToolPak to conduct a regression analysis with AssessmentValue as the dependent variable and FloorArea, Offices, Entrances, and Age as independent variables. What is the overall fit r^2? What is the adjusted r^2?
- Which predictors are considered significant if we work with α=0.05? Which predictors can be eliminated?
- What is the final model if we only use FloorArea and Offices as predictors?
- Suppose our final model is:
- AssessedValue = 115.9 + 0.26 x FloorArea + 78.34 x Offices
- What wouldbe the assessed value of a medical office building with a floor area of 3500 sq. ft., 2 offices, that was built 15 years ago? Is this assessed value consistent with what appears in the database?
Regression Modeling Data
FloorArea (Sq.Ft.) | Offices | Entrances | Age | AssessedValue ($'000) |
4790 | 4 | 2 | 8 | 1796 |
4720 | 3 | 2 | 12 | 1544 |
5940 | 4 | 2 | 2 | 2094 |
5720 | 4 | 2 | 34 | 1968 |
3660 | 3 | 2 | 38 | 1567 |
5000 | 4 | 2 | 31 | 1878 |
2990 | 2 | 1 | 19 | 949 |
2610 | 2 | 1 | 48 | 910 |
5650 | 4 | 2 | 42 | 1774 |
3570 | 2 | 1 | 4 | 1187 |
2930 | 3 | 2 | 15 | 1113 |
1280 | 2 | 1 | 31 | 671 |
4880 | 3 | 2 | 42 | 1678 |
1620 | 1 | 2 | 35 | 710 |
1820 | 2 | 1 | 17 | 678 |
4530 | 2 | 2 | 5 | 1585 |
2570 | 2 | 1 | 13 | 842 |
4690 | 2 | 2 | 45 | 1539 |
1280 | 1 | 1 | 45 | 433 |
4100 | 3 | 1 | 27 | 1268 |
3530 | 2 | 2 | 41 | 1251 |
3660 | 2 | 2 | 33 | 1094 |
1110 | 1 | 2 | 50 | 638 |
2670 | 2 | 2 | 39 | 999 |
1100 | 1 | 1 | 20 | 653 |
5810 | 4 | 3 | 17 | 1914 |
2560 | 2 | 2 | 24 | 772 |
2340 | 3 | 1 | 5 | 890 |
3690 | 2 | 2 | 15 | 1282 |
3580 | 3 | 2 | 27 | 1264 |
3610 | 2 | 1 | 8 | 1162 |
3960 | 3 | 2 | 17 | 1447 |
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