In a study with three treatments, A), A2, and A3, and a control group, C, dummy vectors were constructed as follows: subjects in Al were identified in D1, those in A2 were identified in D2, and those in A3 were identified in D3. A multiple regression analysis was done in which the dependent variable was regressed on the three coded vectors. The following regression equation was obtained: Y' = 8+6D1 + 5D2-2D3 (a) What are the means of the four groups on the dependent variable? (b) What is the zero-order correlation between each pair of coded vectors, assuming equal n's in the groups?
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