Machine Learning problem

4. Recl the coefficient of determination R, which for linear regression with predictions , m is defined to be Vi for correct labels yi, i = 1, yi -yi (Here is the average of the yi labels: 23m) (a) Prove thatR2 if and only if the points (r1,yi).... (r,m y/m) are collinear (all lie on one line) (b) Prove that the quantity y)2 is in the interval [0,1 (and therefore that R2 E [0, 1]) Hint: Is there a line in the plane so that the denominator is a MSE?] 4. Recl the coefficient of determination R, which for linear regression with predictions , m is defined to be Vi for correct labels yi, i = 1, yi -yi (Here is the average of the yi labels: 23m) (a) Prove thatR2 if and only if the points (r1,yi).... (r,m y/m) are collinear (all lie on one line) (b) Prove that the quantity y)2 is in the interval [0,1 (and therefore that R2 E [0, 1]) Hint: Is there a line in the plane so that the denominator is a MSE?]