Question: 7. A data set with variables X1, X2 and Y is artificially created. Considering that there exist a regression relation between Y, X1 and X2,

7. A data set with variables X1, X2 and Y is artificially created. Considering that there exist a regression relation between Y, X1 and X2, the following figures are created using R. Explaining reasons, propose appropriate model to fit for this data. [15 Points] (a) Plot of Y against X1. (b) Plot of Y against X2. O O o 80 2 88 O C 0A O O O O O o O O O O 2 -20 40 60 X1 X2 (c) Plot of Y against X1 and X2. GO O O O 30 OO 60 O 40 20 0 -20 -4 -2 X1

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