2. A experiment to study the growth of carnations as a function of the temperature (x, ) and fertilizer (X2), 27 plots of equal size were treated with fertilizer between 50 and 60 kg per plot and constant temperatures between 80 and 100 F. The resulting data are saved in FLOWRE.TXT file. a. Fit a complete second-order model to the data. (5) b. Do the data provide sufficient evidence to indicate that the second-order terms contribute information relevant to the prediction of y? (5)x1 x2 y 80 50 50.8 80 50 50.7 80 50 49.4 80 55 93.7 80 55 90.9 80 55 90.9 80 60 74.5 80 60 73.0 80 60 71.2 90 50 63.4 90 50 61.6 90 50 63.4 90 65 93. 8 90 55 92. 1 90 55 97.4 90 60 70.9 90 60 68.8 90 60 71.3 100 50 46.6 100 50 49. 1 100 50 46.4 100 55 69.8 100 55 72.5 100 55 73.2 100 60 38.7 100 60 42.5 100 60 41.4