11.2. ll. Verify th.al the coefficients a and b of the least squares straight Line are solutions of
the ma trix equation

11. LXj LYi
i=l (;) =
i=l

Ex; r>r Ex;y,.
i=l i=l i=l
11.2.13. Prove that a least squares straight line must necessarily pass through the point (x.y).
11.2.14. In some regression situations. there are {J priori reasons for assuming that the xy relationship being approxima ted passes through the origin. If so, the e!juation to be fit to the (ia , y; )s has the form y = bx. Use the least squares criterion to show tha t the "best" slope intha t case is given by

E x,y,
b = _i=_l

I:>r
1=1
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