Completed

Polynomial Regression on Simulation Data

This project was successfully completed by Joe156 for $25 USD in a day.

Get free quotes for a project like this
Employer working
Project Budget
$10 - $30 USD
Completed In
1 day
Total Bids
1
Project Description

Function : y=[url removed, login to view]+[url removed, login to view]^{2}-3 * 10^{-5}x^{3} + \epsilon

Generate 50 training data points: (x,y).

Generate 10000 testing data points: (xtest, ytest).

Use function lm(y ∼ poly(x,i)) to train your model, here i is the flexibility from 1 to 20. Hint: you can use for loop for this step. And repeat this whole process 30 times.

Calculate the Training MSE for each flexibility, in total you should have 20×30 MSE.

Calculate the Testing MSE for each flexibility, in total you should have 20 ×30 MSE.

Calculate the Average MSE for the 20 Training MSE.

Calculate the Average MSE for the 20 Testing MSE.

Use plot() function to draw average Training MSE.

Use lines() function to draw all your Training MSE and Testing MSE in one figure. You can use for loop to draw all lines.

Please point out the first MSE for both Training and Testing by using points() function.

Please point out the lowest MSE for Testing and the corresponding Training MSE by using points() function.

Please point out the last MSE for both Training and Testing by using points() function.

Completed by:
Skills Required

Looking to make some money?

  • Set your budget and the timeframe
  • Outline your proposal
  • Get paid for your work

Hire Freelancers who also bid on this project

    • Forbes
    • The New York Times
    • Time
    • Wall Street Journal
    • Times Online