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Unit 5 - Regression Analysis

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Submitted By Felicialiew87
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Abstract
This paper describes the application of regression analysis for the workplace. Three sets of variables are investigated - benefits and intrinsic job satisfaction, benefits and extrinsic job satisfaction, and finally benefits and overall job satisfaction. The regression analysis is performed using Excel and the results are shown in this paper, along with a graph for each set. The results are analyzed for recommendation to the company. Introduction
Regression analysis is performed on three sets of variables – benefits and intrinsic job satisfaction, benefits and extrinsic job satisfaction, and finally benefits and overall job satisfaction. The results of the regression analysis are used to determine whether any relationship exists for the three sets of variables and the strength of the relationship.
Benefits and Intrinsic Job Satisfaction
Regression output from Excel
Regression Statistics
Multiple R 0.069642247
R Square 0.004850043
Adjusted R Square -0.004718707
Standard Error 0.893876875
Observations 106

ANOVA df SS MS F Significance F
Regression 1 0.404991362 0.404991 0.506863 0.478094147
Residual 104 83.09765015 0.799016
Total 105 83.50264151

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 5.506191723 0.363736853 15.13784 4.79E-28 4.784887914 6.227496 4.784888 6.227496
Benefits -0.057165607 0.080295211 -0.71194 0.478094 -0.216394019 0.102063 -0.21639 0.102063

Graph Benefits and Extrinsic Job Satisfaction
Regression output from Excel
Regression Statistics
Multiple R 0.161906
R Square 0.026214
Adjusted R Square 0.01685
Standard Error 1.001305
Observations 106

ANOVA df SS MS F Significance F
Regression 1 2.806919 2.806919 2.799606 0.097293
Residual 104 104.2717 1.002612
Total 105 107.0786

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 4.448334 0.407452 10.91745 6.02E-19 3.640342 5.256326 3.640342 5.256326
Benefits 0.150497 0.089945 1.673202 0.097293 -0.02787 0.328862 -0.02787 0.328862

Graph Benefits and Overall Job Satisfaction
Regression output from Excel
Regression Statistics
Multiple R 0.081422
R Square 0.006629
Adjusted R Square -0.00292
Standard Error 1.088941
Observations 106

ANOVA df SS MS F Significance F
Regression 1 0.823019 0.823019 0.694067 0.406694
Residual 104 123.3224 1.185792
Total 105 124.1454

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 5.165093 0.443112 11.6564 1.38E-20 4.286385 6.043802 4.286385 6.043802
Benefits -0.08149 0.097817 -0.83311 0.406694 -0.27547 0.112483 -0.27547 0.112483

Graph Key components of the regression analysis
Dependent Variable Slope Y-intercept Equation r^2
Intrinsic
-0.057 5.506 y=-0.057x+5.506 0.005
Extrinsic
0.150 4.448 y=0.150x+4.448 0.026
Overall
-0.081 5.165 y=-0.081x+5.165 0.007

Similarities and Differences
The graph of benefits versus intrinsic job satisfaction and the graph of benefits versus overall job satisfaction both have a negative correlation based on the trendline in the scatter plot – as the value of variable x increases, the value of variable y decreases (Editorial Board, 2012, p.122). However, the graph of benefits versus extrinsic job satisfaction has a positive correlation since the value of variable y increases when the value of variable x increases (Editorial Board, 2012, p.122). All the graphs show a weak correlation because most of the points are scattered randomly and only a few points can form a straight line (Editorial Board, 2012, p.122).
Correlation coefficients Between the three outputs above, benefits and extrinsic job satisfaction have the strongest correlation coefficient since its value is the closest to +1 (Editorial Board, 2012, p.123). This means that providing benefits to employees will affect the extrinsic job satisfaction of employees. A manager might be interested to determine if benefits is really the cause of increased extrinsic job satisfaction, by carrying out experimental research. If it is so, then the company could give out more and better benefits to its employees. When employees are satisfied, there is a higher chance to retain them in the company (Editorial Board, 2012, p.120).
Conclusion
Regression analysis is a very powerful tool to determine whether statistical relationship exists between two variables of interest and the strength of the relationship. Among the three sets of outputs, benefits and extrinsic job satisfaction have the strongest correlation relationship. References
Editorial Board (2012). Elementary statistics. Schaumburg, IL: Words Of Wisdom.

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