(15 pts) show that the least squares fitted values y^iy^i, for i=1,…,ni=1,…,n, can be written as a linear combination of all observed yjyj values, for j=1,…,nj=1,…,n. that is, show that we can write y^i=∑j=1 hij yj for i=1,…,i^i=∑j=1 hij yj for i=1,…,n. hint: hii=hihii=hi, the leverage of the ithith data point from lecture.