This page includes Step-by-Step instructions to use MS Excel to calculate the Coefficients of Partial Determination for the Temperature/Mowing/Water example.  

       

  Example: Assume that for 7 randomly selected days during a three-hour period spent outside, a person recorded the outside temperature, the time they spent mowing the grass, and their water consumption.  

Use Excel to calculate the coefficient of partial determination if the amount of water consumed is dependent on the temperature and the time spent mowing the grass.  Use the data given below.

Temperature (F) Time mowing the grass (hours)   Water Consumption (ozs)
75 1.85 16
83 1.25 20
85 1.5 25
85 1.75 27
92 1.15 32
97 1.75 48
99 1.6 48

 


Preliminaries: Make sure you have the Data Analysis Tool Pak loaded.  Click here for additional information on the ToolPak.  Use the "back" button on your browser to return to this page.


Preliminaries: Entering the data. 


Procedure

Coefficients of partial determination can be expressed in terms of simple or other partial correlation coefficients. For example:

         

Where rY1 denotes the coefficient of simple correlation between Y and X1,  and  r12  denotes the coefficient of simple correlation between X1 and X2, and so on.

  1. To get rY1 :
    a) click the paste function button
    b) Select the CORREL function
    c) For your Array 1 select your temp values
    d) For your Array 2 select your Water Consumption
    e) Hit OK
  2. To get rY2:
    a) click the paste function button
    b) Select the CORREL function
    c) For your Array 1 select your time values
    d) For your Array 2 select your Water Consumption
    e) Hit OK
  3. To get r12:
    a) click the paste function button
    b) Select the CORREL function
    c) For your Array 1 select your time values
    d) For your Array 2 select your temperature
    e) Hit OK
  4. Plug your values into the formula
  5. Save your work. Select FILE > SAVE AS. Call the data set ExcelRegCoefficient.

Click here to check your answers and interpretations.


Learn the Procedure for calculating the coefficient of partial determination

 

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