Specific Example: Assume that during a three-hour period spent outside, a person recorded the temperature and their water consumption and the time they spent mowing the grass. The experiment was conducted on 7 randomly selected days during the summer.  The data is shown in the table below with the temperature placed in increasing order.    

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

 


We will use this example to show how to calculate the coefficient of partial determination in three ways:

       

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