Regression Modeling

Instructions: 

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:

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  • 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?

    2

    >Regression Modeling Data

    AssessedValue (

    000)

    790

    4 2

    796

    2

    44

    4 2 2

    4 2

    68

    3 2

    67

    00

    4 2

    2 1 19

    2 1

    4 2

    74

    70

    2 1 4

    3 2 15

    2 1 31

    3 2 42

    1 2 35

    2 1 17 678

    30

    2 2 5

    2 1 13

    2 2 45

    1280 1 1 45

    00

    3 1

    2 2 41

    3660 2 2 33

    1 2 50

    2 2 39

    1 1 20

    4 3 17

    2 2

    3 1 5

    2 2 15

    3 2 27

    2 1 8

    3 2 17

    FloorArea (Sq.Ft.) Offices Entrances Age
    4 8 1
    47

    20 3 12 1

    5
    5940 2094
    5720 34 19
    3660 38 15
    50 31 1878
    2990 949
    2610 48 910
    5650 42 17
    35 1187
    2930 11

    13
    1280 671
    4880 1

    678
    1620 710
    1820
    45 1585
    2570 842
    4690 15

    39
    4

    33
    41 27 1268
    3530 1251
    1094
    1110 638
    2670 999
    1100 653
    5810 1914
    2560 24 772
    2340 890
    3690 1282
    3580 1264
    3610 1162
    3960 1447

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