7.1.3 Exploration 7A: Predicting the Price of a Home

Instructions: Using data file C02 Homes.xls [.rda], answer each question below.

  1. Compute the mean and standard deviation for each of the following numerical variables:








    Taxes

    Year

    Acres

    Size

    Value

    Price








    Mean








    Standard

    deviation








  2. Using the mean as a model, how much would you say the typical single-family home costs in this market?
  3. How reliable is your estimate?
  4. Using a table of correlations, calculate the correlation coefficient (r) for the following pairs of variables:











    Taxes Style Bath Bed Rooms Year Acres Size Value










    Price










  5. Based on the correlation coefficients, which of the above variables seems to have the MOST effect on the PRICE of a house? Which as the LEAST effect?
  6. Generate a scatterplot that describes the relationship between PRICE and SIZE. Which variable is the independent variable (should be on the x-axis)? Which variable is the dependent variable (on the y-axis)? What is the Correlation for this relationship? Your scatterplot should look something like figure 7.11.


    PIC


    Figure 7.11: Scatterplot showing home price versus size.


  7. Draw a vertical line on the above chart to represent the MEAN for SIZE
  8. Draw a horizontal line on the above chart to represent the MEAN for PRICE.
  9. Hover your mouse over the points marked A, B and C on the chart to determine the values for PRICE and SIZE at each point. Then fill in the table below to estimate the correlation.







    SIZE PRICE z-score for z-score for Total Contribution to
    SIZE (X) PRICE (Y) the Numerator of Correlation






    A
    zx = (--)-1772-
   631 zy = (---)--121
   94






    B
    zx = (  )-1772
---631---- zy = (   )- 121
---94---






    C
    zx = (--)-1772-
   631 zy = (---)--121
   94