Essay About Regression Analyses And Least Squares Regression Line Equation

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
21.66
32.49
14.44
12.25
20.25
20.25
20.25
27.04
14.44
30.25
30.24
29.16
31.36
26.68
21.16
33.64
37.21
38.44
32.24
27.04
38.44
35.91
32.49
39.69
39.68
38.44
40.96
29.44
21.16
40.96
30.72
23.04
40.96
42.25
17.64
21.15
20.25
22.09
46.24
30.25
30.25
31.36
32.49
25.65
20.25
32.49
26.01
32.76
27.04
39.69
30.08
22.09
40.96
40.26
37.21
43.56
∑x
∑y
∑(xy)
∑ x2
∑y2
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
784.2
922.46
(∑ x)2
(∑ y)2
22201.00
25600.00
√ [29 (784.2)] [29 (922.46) – 25600.00]
Slope and y-intercept
∑x
∑y
∑(xy)
∑ x2
∑y2
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
b = 160 – [-0.211533 (149)]
= 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)
32.49
12.25
24.75
20.25
30.25
30.25
14.44
29.16
21.16
27.45
37.21
20.25
27.04
32.49
38.44
21.16
23.04
30.25
30.25
24.75
20.25
30.25
12.25
46.24
20.25
20.25
26.01
27.04
42.25
22.09
33.55
37.21
30.25
∑x
∑y
∑(xy)
∑ x2
∑y2
784.2
860.00
(∑ x)2
(∑ y)2
22201.00
22801.00
Graph with Trendline
Least