Situation: You are interested in assessing if personality plays a role in being
ID: 2925481 • Letter: S
Question
Situation: You are interested in assessing if personality plays a role in being an effective manager. You decide to measure the personality variables of introversion/extraversion (1-10 scale with a higher number meaning more extraverted), group functioning (1-10 scale with a higher number indicating better team work skills) and type A personality (1-10 scale with a higher number meaning more type A characteristics). Look up Type A if you need to know more. You have a reliable and valid managerial effectiveness scale (1-15 with a higher number indicating you would be an effective manager).
Here is the data for 7 participants in the study
I/E GrpFunt Type A Mgr leadership
S1 1 1 5 2
S2 3 5 10 4
S3 5 7 1 6
S4 6 8 1 9
S5 5 7 5 10
S6 6 8 2 13
S7 8 9 5 15
A. Describe with a rationale how the correlations for the 3 personality variables would be when computed with managerial effectiveness? (6) Note: no computations are necessary.
B. What would be the real world statements for each of these results? (6)
C. Describe with a rationale if it would be appropriate to do a simple linear regression or multiple linear regression on this dataset. Make sure you describe what the predictor(s) and dependent variable would be. (6)
D. For the analysis you chose in B describe with a rationale what you would expect for the co-efficient of determination and what would you expect regarding significance? (7)
Explanation / Answer
A.
We see that rating of introversion/extraversion increases with increased rating of managerial effectiveness. So, personality variables introversion/extraversion and managerial effectiveness are high positive correlated.
We see that rating of group functioning increases with increased rating of managerial effectiveness. So, personality variables group functioning and managerial effectiveness are high positive correlated.
We see that rating of Type A decreases first with increased rating of managerial effectiveness and then decreases. So, personality variables managerial effectiveness and Type A are have low correlation.
B.
Effective managers are highly extrovert and have effective group functioning. Effective managers may have low, medium or high Type A personality.
C.
As, managerial effectiveness is highly linearly correlated with introversion/extraversion and group functioning variables, it would be appropriate to do a multiple linear regression on this dataset. The predictor variable would be managerial effectiveness rating. The dependent variables would be introversion/extraversion and group functioning variables.
D. We would expect a high coefficient of determination between 0.75 and 1 so, that the variables introversion/extraversion and group functioning explain high percentage of variation of managerial effectiveness variable. We expect the model to be significant so that the predicted managerial effectiveness is within 95% confidence interval of true managerial effectiveness for any observation.