Here are illustrative data on X and Y for three groups: (a) Calculate ΣX 2 , Σy 2 , and Σxy for (1) total (i.e., treating all the data as if they were obtained in a single group), (2) within each...

(a) Calculate ΣX², Σy², and Σxy for (1) total (i.e., treating all the data as if they were obtained in a single group), (2) within each group, (3) pooled within groups, (4) between groups.

(b) Use information from (a) to calculate r_xy
and b_yx
for (1) total, (2) within each group, (3) pooled within groups, (4) between groups. Display the results as in Table 16.2.

(c) Using information from (a), calculate
 and
.

(d) Using information from (b) and (c), apply (16.10) through (16.13).