The accompanying data set contains three predictor variables, x 1 , x 2 , and x 3 , and one numerical target variable, y A regression tree will be constructed using the data set a Which split on x 1 will generate the smallest MSE b Which split on x 2 will generate the smallest MSE c Which split on x 3 will generate the smallest MSE d Which variable and split value should be used to create the root node if a regression tree is constructed using the accompanying data set e State the rules generated from this split

Question: The accompanying data set contains three predictor variables, x 1 , x 2 , and x 3 , and one numerical target variable, y. A

The accompanying data set contains three predictor variables, x₁, x₂, and x₃, and one numerical target variable, y. A regression tree will be constructed using the data set.

a. Which split on x₁ will generate the smallest MSE?

b. Which split on x₂ will generate the smallest MSE?

c. Which split on x₃ will generate the smallest MSE?

d. Which variable and split value should be used to create the root node if a regression tree is constructed using the accompanying data set?

e. State the rules generated from this split.

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