Discuss a linearized model

Question

Discussion:

Q: Consider the following results of measurement of a function y(x):

x 1 2 3 4 5
y 0.4 0.65 0.86 1.06 1.23

Assume that the data set can be modeled by a power function y = ax^b.

a) Use a Ln-test (logarithm) to decide whether a power function model can be utilized.

b) Use a linearized model to calculate the model parameters a and b such that the Least-squares error becomes minimal.