Problem Set 1: Linear Regression
Research Scenario:A human resources specialist wanted to know if conscientiousness is a good predictor of job performance. Conscientiousness was evaluated using likert based questions from the open access International Personality Item Pool (IPIP) based on Goldberg’s Big Five (1992). Questions were summed (range 0 – 20), with higher values indicating more conscientiousness. Job performance was an average of several factors, ranging from 0 – 20, with higher scores indicating better job performance. He compiles the information in the table below. Conduct a bivariate linear regression to analyze the research question.
The steps will be the same as the ones you have been practicing in Part 1 of the assignment—the only difference is that you are now responsible for creating the data file as well. Remember to name and define your variables under the “Variable View,” then return to the “Data View” to enter the data.
Conscientiousness |
Job_Performance |
4 |
5 |
6 |
13 |
9 |
17 |
19 |
11 |
7 |
14 |
18 |
18 |
6 |
8 |
13 |
12 |
12 |
8 |
5 |
3 |
16 |
16 |
18 |
15 |
15 |
6 |
13 |
17 |
9 |
8 |
11 |
13 |
7 |
8 |
Paste SPSS output (3 pts)
Construct a scatterplot of the relationship between the 2 variables. Plot the regression line on this graph. (3 pts)
Is the trait of conscientiousness predictive of job performance in this sample? Write a Results section in current APA style describing the outcome. All homework “Results sections” must follow the example given in the SPSS tutorial presentation and the Course Content document “Writing Results of Statistical Tests in Current APA Format.” The statistical statement for a bivariate linear regression must include at least the equation of the line and the confidence interval for the slope (the second row under Confidence Intervals in the output), as well as a decision about the null hypothesis. (3 pts)
The regression equation is given by job performance = 6.101 + 0.47*Conscientiousness
The null hypothesis, HO: the trait of conscientiousness is not predictive of job performance in this sample.
The alternative hypothesis, H1: the trait of conscientiousness predictive of job performance in this sample.
With (F=5.035, P<5%), I reject the null hypothesis at 5% level of significance and conclude that the trait of conscientiousness predictive of job performance in this sample.
The significant value of float indicates that with one unit increase in Conscientiousness, there is 0.47 units increase in job performance.
The confidence interval for slope is given by (0.024, 0.916).I am 95% confidence that estimated value of slope lie in this interval.
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