Employees at Hubbell Engine Parts Company produce parts using precision machine tools according to exact design specifications. The employees are paid partially according to a piece rate system wherein if they work faster and produce more parts, they are eligible for monthly bonuses. Management suspects that this method of pay may contribute to a high number of defective parts. A specific part requires a normal, standard time of 23 minutes to produce. The quality control manager has checked the actual average times to produce this part for 10 different employees during 20 days selected at random during the past month, and determined the corresponding percentage of defective parts, as follows.

Develop a linear regression model relating average production time to percentage defects to determine if a relationship exists, and the percentage of defective items that would be expected with the normal production time of 23minutes.

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Average Time (min Defctive Imin Defective 1