This page includes Step-by-Step instructions to use Minitab to calculate the coefficients of determination for the Water/Temperature/Mowing Time example.  

          

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

 

Use Minitab 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

 

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

           and            

Where rY 1  denotes the coefficient of simple correlation between Y and X1;

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

Preliminaries: Entering the data. 

 

Procedures:

1.       To get rY1 :

a)       Select Stat > Basic Statistics > Correlation

b)       Select temperature and water consumption for your correlation variables.

c)        Click OK.

2.       To get rY2:

a)       Select Stat > Basic Statistics > Correlation

b)       Select time mowing and water consumption for your correlation variables.

c)        Click OK.

3.       To get r12:

a)       Select Stat > Basic Statistics > Correlation

b)       Select temperature and time mowing for your correlation variables.

c)        Click OK.

4.        Save the data. Select FILE > SAVE AS. Call the data set MinitabmultiCoefficients.

Click here for solutions

 

Learn the Procedure for calculating the coefficient of partial determination

   

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