Question 16

A company that makes and repairs computers is interested in analyzing the relationship between service time and the number of components repaired or replaced during a service call. If there is a relationship, it will help the company forecast the number of service engineers needed in the next few years.

A regression analysis of Service Time in minutes (Y) on Number of Components (X) was carried out using a sample of 80 jobs. The following results were obtained:

ANALYSIS OF VARIANCE TABLE
Source of Variation	Degrees of Freedom	Sum of Squares	Mean Squares
Regression	1	40000	40000
Error	78	7800	100
TOTAL	79	47800	605

Prediction Equation: Y_i = 17 + 32X_i

The regression is statistically and practically significant and the residuals exhibit a random pattern when plotted against the number of components. The assumption of a normal distribution for the residuals is valid as indicated by the residual plots.

The next job requires 6 components to be repaired. Using the regression analysis, estimate the probability that this job will be completed in less than 200 minutes.

Question 16 options:

	4%
	36%
	18%
	11%
	47%