Exercise 13-26 Static

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

Click here for the Excel Data File

List the highest and lowest split values for x₁.

Note: Round your answers to 1 decimal place.

List the highest and lowest split values for x₂.

Note: Round your answers to 1 decimal place.

List the highest and lowest split values for x₃.

Note: Round yours answers to 2 decimal places.

Compute the MSE of the partition x₁ = 252.

Note: Round your answer to 4 decimal places.

Compute the MSE of the partition x₂ = 92.5.

Note: Round your answer to 4 decimal places.

Compute the MSE of the partition x₃ = 14.25.

Note: Do not round intermediate calculations. Round your answer to 4 decimal places.

Which of the following statements is the most accurate?

1. multiple choice

The partition x₁ = 252 creates a highest MSE; therefore, it is the best split for achieving purity.

The partition x₃ = 14.25 creates a lowest MSE; therefore, it is the best split for achieving purity.

The partition x₁ = 252 creates a lowest MSE; therefore, it is the best split for achieving purity.

The partition x₂ = 92.5 creates a highest MSE; therefore, it is the best split for achieving purity.

Data

x1	x2	x3	y
258	98	9.5	15
246	87	10.0	14
113	113	18.5	24
320	35	3.0	32