Case: Retaining workers

Human resource managers are responsible for a variety of tasks

within organizations. As we know, personnel or human resource

managers are involved with recruiting new workers, determining

which applicants are most suitable to hire, and helping with various

aspects of monitoring the workforce, including absenteeism and

worker turnover. For many firms, worker turnover is a costly problem.

First, there is the cost of recruiting and attracting qualified workers.

The firm must advertise vacant positions and make certain that

applicants are judged properly. Second, the cost of training hirees can

be high, particularly in technical areas. Third, new employees are

often not as productive and efficient as experienced employees.

Consequently, it is in the interests of the firm to attract and keep the

best workers. Any information that the personnel manager can obtain

is likely to be useful.

The human resource manager of a telemarketing firm is concerned

about the rapid turnover of the firm's telemarketers. It appears that

many telemarketers do not work very long before quitting. There may

be a number of reasons, including relatively low pay, personal

unsuitability for the work, and the low probability of advancement.

Because of the high cost of hiring and training new workers, the

manager decided to examine the factors that influence workers to

quit. The manager reviewed the work history of a random sample of

workers who have quit in the last year and recorded the number of

weeks on the job before quitting and the age of each worker when

originally hired. The dataset is available on the JMP file Retaining

Workers.

The two columns are:

Employment $($Y$)=$ number of weeks on the job before quitting.

Age $($X$)=$ age of each worker in years during the time of hire.

Answer the following questions:

$(15$ points$)$ Create a scatterplot of Employment $($Y$)$ versus Age $($X$).$

Paste the scatterplot and state the direction and the strength of the

linear relationship. Use Chapter $6$ for reference.

$(5$ points$)$ Run a simple regression of Employment $($Y$)$ on Age $($X$)$

using JMP$.$ Write the estimated regression equation from JMP$.$

Please do NOT paste the entire JMP output. I want to see only the

estimated regression equation written on your submission. Use

Chapter $19$ for reference.

$(10$ points$)$ Write the interpretation of the slope estimate. Use

Chapter $19$ for reference.