Question: A researcher hypothesizes that there will be a negative relationship between average hours of sleep for the week and errors made on the job. She samples a group of five employees from a local corn a-ay and mikes measurements on their average hours of sleep for the week and the number of errors made at work for the same time period. Her data are:

(a) Find the mean and standard deviation of Y.

(b) Draw a scatterplot

(c) Find the correlation between the hours slept and the number of errors made.

(d) Find the regression line for the predicting number of errors from the hours slept.

(e) Calculate the total variance in the number of errors made. Also calculate the explained and unexplained variance in the number of errors made.

(f) If an employee averaged three hours of sleep per night, what would you predict that the employee's number of errors would be for the week?

(g) What is the z-Score for the number of errors for employee 2?