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Regression Analyses Intrinsic Job Satisfaction

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Regression analyses of BENEFITS as the independent variable and INTRINSIC job satisfaction as the dependent variable

BENEFITS (X) INTRINSIC XY x2 y2

6 1 6 36 1

5.7 3.8 21.66 32.49 14.44

3.5 4 14 12.25 16

4.5 4.5 20.25 20.25 20.25

5 5.2 26 25 27.04

3.8 5.5 20.9 14.44 30.25

5.4 5.6 30.24 29.16 31.36

4.6 5.8 26.68 21.16 33.64

6.1 6 36.6 37.21 36

5 6.2 31 25 38.44

5.2 6.2 32.24 27.04 38.44

5.7 6.3 35.91 32.49 39.69

6.2 6.4 39.68 38.44 40.96

4.6 6.4 29.44 21.16 40.96

4.8 6.4 30.72 23.04 40.96

5 6.5 32.5 25 42.25

4 7 28 16 49

7 4.2 29.4 49 17.64

4.5 4.7 21.15 20.25 22.09

5 5 25 25 25

6.8 5.5 37.4 46.24 30.25

5 5.5 27.5 25 30.25

5 5.6 28 25 31.36

5 5.7 28.5 25 32.49

4.5 5.7 25.65 20.25 32.49

5.1 6 30.6 26.01 36

5.2 6.3 32.76 27.04 39.69

4.7 6.4 30.08 22.09 40.96

6.1 6.6 40.26 37.21 43.56

∑x ∑y ∑(xy) ∑ x2 ∑y2

149 160 818 784.2 922.46

(∑ x)2 (∑ y)2

22201.00 25600.00

Graph with Trendline

Least squares regression line equation

∑x ∑y ∑(xy) ∑ x2 ∑y2

149 160 818 784.2 922.46

(∑ x)2 (∑ y)2

22201.00 25600.00

R = ___n (∑ xy) - (∑ x) (∑ y))_ ____

√ [ n( ∑ x)2 ] [ n( ∑ y2 ) - ( ∑ y)2 ]

R = _29 (818) - 149 (160) ____________

√ [29 (784.2)] [29 (922.46) - 25600.00]

Slope and y-intercept

∑x ∑y ∑(xy) ∑ x2 ∑y2

149 160 818 784.2 922.46

(∑ x)2 (∑ y)2

22201.00 25600.00

Slope = m

m = n ∑ (xy) - ∑x ∑y____

n ∑(x2) - (∑ x)2

m = 29 (818) - 149 (160)

29 (784.2) - 22201.00

= -0.211533

Y-intercept = b

b = ∑ y - m ∑ x

n

b = 160 - [-0.211533 (149)]

29

= 6.6040859

R-squared value

R2 = 0.7373

Regression analysis using the BENEFITS as the independent variable and the EXTRINSIC job satisfaction as the dependent variable

BENEFITS (X) EXTRINSIC (y) XY x2 y2

6 1 6 36 1

5.7 6 34.2 32.49 36

3.5 1.5 5.25 12.25 2.25

4.5 5.5 24.75 20.25 30.25

5 5.5 27.5 25 30.25

3.8 6 22.8 14.44 36

5.4 6 32.4 29.16 36

4.6 2 9.2 21.16 4

6.1 4.5 27.45 37.21 20.25

5 7 35 25 49

5.2 7 36.4 27.04 49

5.7 6 34.2 32.49 36

6.2 2.5 15.5 38.44 6.25

4.6 6 27.6 21.16 36

4.8 5 24 23.04 25

5 5.5 27.5 25 30.25

4 6 24 16 36

7 5.5 38.5 49 30.25

4.5 5.5 24.75 20.25 30.25

5 3.5 17.5 25 12.25

6.8 4.5 30.6 46.24 20.25

5 7 35 25 49

5 7 35 25 49

5 6 30 25 36

4.5 6 27 20.25 36

5.1 5 25.5 26.01 25

5.2 6.5 33.8 27.04 42.25

4.7 6 28.2 22.09 36

6.1 5.5 33.55 37.21 30.25

∑x ∑y ∑(xy) ∑ x2 ∑y2

149 151 773 784.2 860.00

(∑ x)2 (∑ y)2

22201.00 22801.00

Graph with Trendline

Least

...

...

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