Regression Analysis Research Paper Example | Topics and Well Written Essays - 750 words

Regression Analysis - Research Paper Example Introduction In order to check the relationship between benefits and the intrinsic, extrinsic and total job satisfaction, 3 bivariate regressions are run. Using the regression equations the linear relationship between the independent variable (benefit) and the 3 sets of dependent variables (total job satisfaction, intrinsic job satisfaction and extrinsic job satisfaction) is established. Bivariate regression analysis shows how the explanatory power of the independent variable in determining the values of the dependent variable (Malhotra, 543). The results from the regression analysis are explained in details. ... from Excel Regression Statistics Multiple R 0.172306 R Square 0.029689 Adjusted R Square 0.001151 Standard Error 0.352328 Observations 36 ANOVA Â   df SS MS F Significance F Regression 1 0.129141 0.129141 1.040326 0.314948704 Residual 34 4.220582 0.124135 Total 35 4.349722 Â   Â   Â   Â   Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 5.1302975 0.179009596 28.6593 2.1E-25 4.766506281 5.4940888 4.76650628 5.49408881 X Variable 1 0.0376321 0.036895473 1.01996 0.31495 -0.03734857 0.1126127 -0.0373486 0.11261267 Graph Key components of the regression analysis Dependent Variable Slope Y-intercept Equation Intrinsic 0.169682348 4.427844793 Benefits= 4.427844793 + 0.16982348*(Intrinsic) 0.16493309 Extrinsic -0.16220711 6.157338158 Benefits= 6.157338158 -0.16220711*(Extrinsic) 0.287582114 Overall 0.0376321 5.1302975 Benefits= 5.1302975 + 0.0376321*(Overall) 0.0296894 Similarities and Differences Similarity: the intercepts of all the thre e regressions are positive and significant at 5% level of significance (as the p-value for all the 3 regressions are less than 0.05) Dissimilarity: The correlation between benefits-total job satisfaction and benefits-intrinsic job satisfaction is positive (as the slope between them is positive) but the correlation between benefits-extrinsic job satisfaction is negative (as the slope between them is negative) The regression results between benefits-intrinsic job satisfaction and benefits-extrinsic job satisfaction is significant at 5% level of confidence (as the p-value for these two is less than 0.05) but the result of benefit-total job satisfaction came to be insignificant at 5% level of confidence. Correlation coefficients The strongest correlation coefficient is between benefits and intrinsic job