1 TELEGRAM 24 afterno -15- 11. Maximum mark: 5] Gloria wants to model the curved edge of a butterfly wing. She inserts a photo of the wing into her graphing software and finds the coordinates of four points on the edge of the wing K -3 -1 1.7 3.1 y 2 3.2 2.1 0 Gloria thinks a cubic curve will be a good model for the butterfly wing. (a) Find the equation of the cubic regression curve for this data. For the photo of a second butterfly wing. Gloria finds the equation of the regression curve is y=0.0083x -0.075x-0.58x+2.2. 8822-72 Gloria realizes that her photo of the second butterfly is an enlargement of the life-size butterfly, scale factor 2 and centred on (0, 0). (b) Find the equation of the cubic curve that models the life-size wing. [3