In a study conducted in a textile training establishment, it was assumed that the number of months of training of the apprentices would affect their performances in the three tests, T1, T2, and T3, which were administered. In instructing the apprentices, two methods, A and B, were used. Their scores in the tests (Y ) as well as months of training (X) are as follows:

Using regression analysis, show that there is a linear relationship between the months of experience and the scores in the tests. Perform the analysis of covariance to reach the conclusions about the performances of the apprentices in the different tests. Is there any significant difference in the performances due to method of instruction?

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T1 Tests T2 Ts 3333 32531 2222222082 Method X Y X Y X Y I II 34425 122100 2322