Fit a prediction interval at x_p = 30 to the data set from Example 8.1.

Data from Example 8.1

A large manufacturing firm with some 8000 employees has designed a training programme that is supposed to increase the production of employees. The personnel manager decides to examine this claim by analysing the data results from the first group of 20 employees that attended the course.

Table 8.1 provides the data set for the % change in production (y) measured against a range of production values (x).

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Employee number 1 2 3 4 LO 5 6 7 8 9 10 11 12 13 14 15 16 67 17 18 19 20 Table 8.1 Production, x % change in production, y 4.2 47 71 64 35 43 60 38 59 67 56 67 57 69 38 54 76 53 40 47 23 8.1 6.8 4.3 5.0 7.5 4.7 5.9 6.9 5.7 5.7 5.4 7.5 3.8 5.9 6.3 5.7 4.0 5.2 2.2