Question:

1. Identifying Good System Administrators. A management consultant is studying the roles played by experience and training in a system administrator's ability to produce these tasks in a specific amount of time. In particular, she is interested in discriminating between administrators who are able to complete given tasks within a specific time and those who are not. Data are collected on the performance of 75 randomly selected administrators.

Data is provided in the following link: https://docs.google.com/spreadsheets/d/11vAIqrujUylddUVuGpuOBFNG3RNQl0ordfSd_XaFj2o/edit?usp=sharing

The variable Experience measures months of full-time system administrator experience, while Training measures the number of relevant training credits. The dependent variable Completed is either Yes or No, according to whether or not the administrator completed the tasks.

a. Make a scatter plot of Experience versus Training using color or symbol to differentiate programmers who complete the task from those who did not complete it. Which predictor(s) appear(s) potentially used for classifying task completion?

b. Run a logistic regression model with both predictors using the entire dataset as training data. Among those who complete the task, what is the percentage of programmers who are incorrectly classified as failing to complete the task?

c. To decrease the percentage in part (c), should the cutoff probability be increased or decreased?

d. How much experience must be accumulated by a programmer with 4 years of training before his or her estimated probability of completing the task exceeds 50%?

(a) Let X be a normal random variable with mean 100 and standard deviation 15. Find the value of P( X - 100)