An operation manager is trying to find out the relation between the quality of the components manufactured in a machine and the hours of training the machine operator have had. He observed the number of defects found out of 100 parts inspected for 18 machines and the hours of training provided to each respective operator of those machines. The data is as follows

Training (Hours) Defects (Per 100)

8 5

8.3 3

7.5 3

8.1 7

8.5 9

8.8 6

9.5 3

7.4 6

8.3 7

7.6 7

9.4 1

9.6 1

7.8 7

7.8 5

8.3 7

9.7 5

9.9 7

8.5 11

a) Is the hour of training of the operators and quality of the components correlated? Do you think increasing training of the operators will improve the quality of the components?

b) Calculate the equation for the line fitting the training hours - part quality data. Plot the line on a graph along with the original data.

c) Calculate the expected defects per 100 parts for operators with 8, 10 and 11 hours of training.