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.

x1	x2	x3	y
258	98	9.5	15
246	87	10	14
113	113	18.5	28
320	35	3	32

a. Compute the MSE of the partition x1= 252:

b. Compute the MSE of the partition x2= 92.5:

c. Compute the MSE of the partition x3= 14.25:

d.Which of the following statements is the most accurate?

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

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

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

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