Question: 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

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: Yi = 17 + 32Xi

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%

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