Linear relationship – multiple regression

 Download the dataset. The data set is 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:

• Floor Area: square feet of floor space
• Offices: number of offices in the building
• Entrances: number of customer entrances
• Age: age of the building (years)
• Assessed Value: tax assessment value (thousands of      dollars)

As you work through the following exercises, note your answers to the given questions so you can easily summarize them in your reflection.

Use the data set to construct a model that predicts the tax assessment value assigned to medical office buildings with specific characteristics.

1. Construct a scatter plot in Excel with Floor Area as the independent variable and Assessment Value as the dependent variable. Insert the bivariate linear regression equation and R2 in your graph. 

• Do you observe a linear relationship between the 2      variables?

2. Use Excels Analysis ToolPak to conduct a regression analysis of Floor Area and Assessment Value. 

• Is Floor Area a significant predictor of Assessment      Value?

3. Construct a scatter plot in Excel with Age as the independent variable and Assessment Value as the dependent variable. Insert the bivariate linear regression equation and R2 in your graph. 

• Do you observe a linear relationship between the 2      variables?

4. Use Excels Analysis ToolPak to conduct a regression analysis of Age and Assessment Value. 

• Is Age a significant predictor of Assessment Value?

Construct a multiple regression model.

• Use Excels Analysis ToolPak to conduct a regression      analysis with Assessment Value as the dependent variable and Floor Area,      Offices, Entrances, and Age as independent variables. 
• What is the overall fit R2? What is the adjusted R2?
• 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 Floor Area and      Offices as predictors?
• Suppose our final model is: Assessed Value = 115.9 +      0.26 x Floor Area + 78.34 x Offices. 
• What would be 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?

Reflection

In a minimum of 500 words, reflect on the types of medical offices you would advise management to close and open, and why. Use your exercise notes to support your rationale.