In a study to predict job satisfaction among employees in the banking sector, three predictors: Pay, job
Question:
In a study to predict job satisfaction among employees in the banking sector, three predictors: Pay, job security and freedom were used. The output for the Pearson's correlation for the four variables is given below:
Table 2b: Correlations | |||||
job_satisfaction | pay | job_security | freedom | ||
job_satisfaction | Pearson Correlation | 1 | .336** | .285** | .258** |
Sig. (2-tailed) | .000 | .000 | .000 | ||
N | 792 | 792 | 792 | 792 | |
pay | Pearson Correlation | .336** | 1 | .297** | .186** |
Sig. (2-tailed) | .000 | .000 | .000 | ||
N | 792 | 792 | 792 | 792 | |
job_security | Pearson Correlation | .285** | .297** | 1 | .255** |
Sig. (2-tailed) | .000 | .000 | .000 | ||
N | 792 | 792 | 792 | 792 | |
freedom | Pearson Correlation | .258** | .186** | .255** | 1 |
Sig. (2-tailed) | .000 | .000 | .000 | ||
N | 792 | 792 | 792 | 792 | |
**. Correlation is significant at the 0.01 level (2-tailed). |
Interpret the results of this correlation matrix (3 marks)
- The researcher mentioned in part (b) above regressed the dependent variable job satisfaction on the three predictors: Pay, job security and freedom and obtained the following results:
Table 2b: Model summary | ||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
1 | .420a | .177 | .173 | .60277 |
a. Predictors: (Constant), freedom, pay, job_security |
Table 2c: ANOVAa | |||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | ||
1 | Regression | 61.390 | 3 | 20.463 | 56.320 | .000b | |
Residual | 286.309 | 788 | .363 | ||||
Total | 347.699 | 791 | |||||
a. Dependent Variable: job_satisfaction | |||||||
b. Predictors: (Constant), freedom, pay, job_security | |||||||
Table 2d: Coefficientsa | ||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | ||
B | Std. Error | Beta | ||||
1 | (Constant) | 2.037 | .095 | 21.416 | .000 | |
pay | .194 | .026 | .255 | 7.489 | .000 | |
job_security | .115 | .024 | .166 | 4.800 | .000 | |
freedom | .105 | .021 | .168 | 4.992 | .000 | |
a. Dependent Variable: job satisfaction |
Required:
Provide a brief interpretation of the results in table 2b
Based on the findings presented in table 2c, is the overall regression model significant at the 5% level? Explain? Write down the fitted regression function from the output in table 2d?
Formulate appropriate hypothesis for this study?
Interpret how Pay, job security and freedom explain the variation of the response variable Y?
Business Statistics for Contemporary Decision Making
ISBN: 978-0470910184
6th Edition
Authors: Ken Black