In one study the efficiency of photosynthesis in an Antarctic species of grass was investigated. The table lists results for various tem- peratures. The temperature x is in degrees Celsius and the efficiency y is given as a percent.

(a) Plot the data. Discuss reasons why a quadratic function might model the data. 

(b) Find a least-squares quadratic function f given by f(x) = ax² + bx + c that models the data. 

(c) Graph f and the data in the window [-5, 35, 5] by [20, 110, 10]. Discuss the fit. 

Transcribed Image Text:

x(°C) y (%) x(°C) y (%) -1.50 33 46 2.5 5 7 10 12 93 95 46 55 80 87 15 17 17 20 22 25 27 30 91 89 77 72 54 46 34