Exercise 4

Consider the data in this table.

1. Set up a linear system $A\xvec = \bvec$ that describes the relationship $$\beta_0 + \beta_1 x_1 + \beta_2 x_2 = y.$$

2. Find the least-squares approximate solution $\xhat$.

3. What is your predicted $y$-value when $x_1 = 2.4$ and $x_2=2.9$?

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