In a factorial design with orthogonal coding, there are three coded vectors, 1, 2, and 3, for factor A. The zero-order correlations of the dependent variable, Y, with each of these vectors are r y1 =...

In a factorial design with orthogonal coding, there are three coded vectors, 1, 2, and 3, for factor A. The zero-order correlations of the dependent variable, Y, with each of these vectors are r_y1
= 36; r_y2
= 41; and r_y3
= 09. The total sum of squares, Σy², is 436.00. What is(are) the following?

(a) ß's (standardized coefficients) associated with each coded vector for factor A.

(b) Proportion of variance accounted for by factor A.

(c) Regression sum of squares for factor A.

(d) Mean square regression for factor A.

(e) Additional information you need to test the main effects of A.