Three groups of children subjected to the same instruction (grouped by social strata) were studied for keyboard skills. The ages of the children were taught to affect the outcomes (number of words typed per minute), so a one-way ANCOVA was used for the study, and the responses are as follows:

Using regression analysis, show that there is a linear relationship between the ages of the children and the scores in the tests. Perform the analysis of covariance to reach conclusions about the performances of the children in the different groups. Is there any significant difference in the performances due to group?

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Group I Group II Group III Group I Group II Group III X 11 1698 5 9 19 LATERA Y X Y 19 10 17 25 5 7 18 15 11 27 23 9 25 12 5 16 TRARNA 158725 Y X Y X Y X 13 4 12 10 28 9 19 18 12 22 14 9254 24 7 20 6 26 4 14 6 14 6 17 9 17 8 21 10 162578 Y 20