Tutorial_03_Tasks
August 10, 2018
1 QBUS6850 – Machine Learning for Business
Semester 2, 2018
2 Tutorial 3 – Linear Regression 1
2.1 Question
• Generate synthetic data from a 2nd order polynomial (quadratic)
$ f = 4 + 1.5 x +3.2 xˆ2.$
• Add noise to the linear model
y = f + ϵ
• Produce a scatter plot y against x , add the true values f to the plot.
• Fit a linear model to the data, using the normal equation: β = (XTX)−1XTY to estimate β0
and β1.
• Fit a quadratic regression model to the data, using normal equation to estimate parameters.
1
QBUS6850 – Machine Learning for Business
Tutorial 3 – Linear Regression 1
Question