3.Repeat step 2 for each new case.

Example: Find Q(x) for x = 1.18 and x = 2.1.

KeystrokesDisplay

1.18

0.12

Q(1.18)

 

 

2.1

0.02

Q(2.1)

 

 

Covariance

Covariance is a measure of the interdependence between paired variables (x and y). Like standard deviation, covariance may be defined for either a sample (Sxy) or a population (S'xy) as follows:

Sxy = r * sx * sy S'xy = r * s'x * s'y

The following procedure finds the covariance of a sample (Sxy) and of a population (S'xy):

1.Press CLEAR .

2.Key in the y-values and press .

3.Key in the x-values and press . Repeat steps 2 and 3 for all data pairs.

4.Press to obtain the value of Sxy.

5.Press 1 1 1 to obtain S'xy.

Example 1: Find the sample covariance (Sxy) and population covariance (S'xy) for the following paired variables:

 

xi

 

26

30

44

50

62

68

74

 

 

yi

 

92

85

78

81

54

51

40

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Keystrokes

 

 

Display

 

 

 

 

 

CLEAR

 

 

 

 

 

 

 

 

92

 

26

 

 

 

 

 

 

 

 

 

85

 

30

 

 

7.00

 

Total number of entries.

 

 

 

 

 

 

 

 

 

 

 

78

 

44

 

 

 

 

 

 

 

 

 

81

 

50

 

 

 

 

 

 

 

 

 

117

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Image 118
HP 12C manual Covariance, Example Find Qx for x = 1.18 and x =, 117