2. An experiment carried out by a student yielded pairs of \(( x , y )\) observations such that
$$\bar { x } = 36 , \quad \bar { y } = 28.6 , \quad S _ { x x } = 4402 , \quad S _ { x y } = 3477.6$$
- Calculate the equation of the regression line of \(y\) on \(x\) in the form \(y = a + b x\). Give your values of \(a\) and \(b\) to 2 decimal places.
- Find the value of \(y\) when \(x = 45\).