- A farmer collected data on the annual rainfall, \(x \mathrm {~cm}\), and the annual yield of peas, \(p\) tonnes per acre.
The data for annual rainfall was coded using \(v = \frac { x - 5 } { 10 }\) and the following statistics were found.
$$S _ { v v } = 5.753 \quad S _ { p v } = 1.688 \quad S _ { p p } = 1.168 \quad \bar { p } = 3.22 \quad \bar { v } = 4.42$$
- Find the equation of the regression line of \(p\) on \(v\) in the form \(p = a + b v\).
- Using your regression line estimate the annual yield of peas per acre when the annual rainfall is 85 cm .