Plot the two vectors X 1 = (5 0) and X 2 = (− XXXXXXXXXXSuppose two different samples of Y give projections onto this X-space at 1 = XXXXXXXXXXand 2 = (4 −.5) . Approximate from the graph the partial...

Plot the two vectors X₁
= (5 0) and X₂
= (−4 .25 ) . Suppose two different samples of Y give projections onto this X-space at

₁
= (4 .5) and

₂
= (4 −.5) . Approximate from the graph the partial regression coefficients for the two cases. Note the shift in the partial regression coefficients for the two cases. Compare this shift to what would have been realized if X₂
= (0 4), orthogonal to X₁.