(20 points) Four specimens of a certain type of alloy were produced at different temperatures (x, in coded units). T...
(20 points) Four specimens of a certain type of alloy were produced at different temperatures (x, in coded units). The durability of each specimen was then observed. The data: xi yi 1.0 41 42 2 2.0 3 3.0 42 4 4.0 a. Fit a straight line of the form these to these values by the method of least squares. Page 1 of 2 m y- b,t bx+ b* to these values by the method b. Fit a parabola of the form of least squares. C. Which model, the straight line or the parabola, has the smallest value for the sum of squares of the vertical distances, Q?
(20 points) Four specimens of a certain type of alloy were produced at different temperatures (x, in coded units). The durability of each specimen was then observed. The data: xi yi 1.0 41 42 2 2.0 3 3.0 42 4 4.0 a. Fit a straight line of the form these to these values by the method of least squares. Page 1 of 2 m y- b,t bx+ b* to these values by the method b. Fit a parabola of the form of least squares. C. Which model, the straight line or the parabola, has the smallest value for the sum of squares of the vertical distances, Q?