Reconsider the data in Example 8.1 and conduct an F test to test whether or not the dependent variable is a significant contributor to the dependent variable.

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