MATH-205 Midterm: Bates MATH 205 041609ross205examsoln
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The points (1,11), (2,10), (4,14) and (5,19) do all belong to a parabola of the form !32x2+/31x+f30. Find 132,/31and !3oby setting up and solving an appropriate system of linear equations. we re~u"irr. ~1. 5" t f~:,ji h ({)rrt. j{1nd; a. :j(t1" mati/x lr. [i, trrj. ja x7. - i x -r i lb. The data points gathered in a lab experiment were supposed to lie on a parabola of the form (4,19) and (5,22). Find the best fit (least-squares) parabola of the form !32x2+ !31x+ f30for the data points in (1b). /w; x hj (f-. jj if,. p 7-~ po, -itrr. 1!:. r2 x" + (1,q f. And what is the sum-of-squares of the residuals? m = ot-f~= Why is the answer to (lc) a "better fit" for the data points in (lb) than the parabola obtained in (la) is for those same data points in (lb)? k 4. r ftkkr vp. ej wti
