Use the following data to develop a curvilinear model to predict y. Include both x1 and x2 in the model in addition to x2 1 and x2 2, and the interaction term x1x2.

Comment on the overall strength of the model and the significance of each predictor. Develop a regression model with the same independent variables as the first model but without the interaction variable. Compare this model to the model with interaction.

y x1 x2 47.8 6 7.1 29.1 1 4.2 81.8 11 10.0 54.3 5 8.0 29.7 3 5.7 64.0 9 8.8 37.4 3 7.1 44.5 4 5.4 42.1 4 6.5 31.6 2 4.9 78.4 11 9.1 71.9 9 8.5 17.4 2 4.2 28.8 1 5.8 34.7 2 5.9 57.6 6 7.8 84.2 12 10.2 63.2 8 9.4 39.0 3 5.7 47.3 5 7.0