Power module of function

Write a MATLAB code to best fit a power model of an equation:

𝑦=𝑎𝑥^𝑏 to the following statistical data.

a) Draw on one figure both the given statistical data and the best fitted curve that you were able to find, use corresponding commands to make your drawing clear.

b) print out the equation of the function after finding parameters

a & b.

c) Find the standard deviation, standard error of estimate and the

correlation coefficient, then print them out.

d) If the Standard error of estimate was smaller than standard

deviation print out: “The linear Regression has a merit and extent of

improvement quantified by [corresponding value of coefficient of

determination(r^2)], otherwise "The Linear Regression fails to find a

fit".

[Tayyab Khalil]

Seems like a HW question. You should start and if any errors or problems occur, then post your code and we will be happy to help.

Hint: Look up linearization of non-linear functions for linear functions and you will find the linearized model for given equation which you can use to simply find the values of a and b.