The following correlation matrix shows the pairwise correlations among three variables: two explanatory variables  and  and the response denoted by . For example, corr . (a) Why does it make sense to...

The following correlation matrix shows the pairwise correlations among three variables: two explanatory variables
 and
 and the response denoted by
. For example, corr.

(a) Why does it make sense to put 1s down the diagonal of this table?

(b) Find the slope of the simple regression of
 on
, if you can. If you cannot, indicate what’s missing.

(c) Do you think that the marginal slope for
 on
 will be similar to the partial slope for
 in the multiple regression of
 on
?