Exercise 2

Consider the data in this table.

1. Set up the linear system $A\xvec=\bvec$ that describes the line $b + mx = y$ passing through these points.

2. Write the normal equations that describe the least-squares approximate solution to $A\xvec=\bvec$.

3. Find the least-squares approximate solution $\xhat$ and plot the data and the resulting line.

4. What is your predicted $y$-value when $x=3.5$?

5. Find the coefficient of determination $R^2$.