H. Mintzberg's classic book, The Nature of Managerial Work (1973), identified the roles found in all managerial jobs. An observational study of 19 managers from a medium-sized manufacturing plant extended Mintzberg's work by investigating which activities successful managers actually perform (Journal of Applied Behavioral Science, Aug. 1985). To measure success, the researchers devised an index based on the manager's length of time in the organization and his or her level within the firm; the higher the index, the more successful the manager. The table on p.505 presents date (which are representative of the data collected by the researchers) that can be used to determine whether managerial success is related to the extensiveness of a manager's network - building interactions with people outside the manager's work unit. Such interactions include phone and face to face meeting with customers and suppliers attending outside meetings, and doing public relations work. A MINTAB printout of the simple linear regression is also provided on page 505.
a. Construct a scattergram for the data
b. Find the prediction equation for managerial success.
c. Find s for your prediction equation. Interpret the standard deviation s in the context of this problem.
d. Plot the least squares line on your scattergram of part a. Does it appear that the number of interactions with outsiders contribution information for the prediction of managerial success? Explain.
e. Conduct a formal statistical hypothesis test to answer the question posed in part d. Use α = .05.
f. Construct a 95% confidence interval for ß1 Interpret the interval in the context of the problem.
