- The percentage oil content, \(p\), and the weight, \(w\) milligrams, of each of 10 randomly selected sunflower seeds were recorded. These data are summarised below.
$$\sum w ^ { 2 } = 41252 \quad \sum w p = 27557.8 \quad \sum w = 640 \quad \sum p = 431 \quad \mathrm {~S} _ { p p } = 2.72$$
- Find the value of \(\mathrm { S } _ { w w }\) and the value of \(\mathrm { S } _ { w p }\)
- Calculate the product moment correlation coefficient between \(p\) and \(w\)
- Give an interpretation of your product moment correlation coefficient.
The equation of the regression line of \(p\) on \(w\) is given in the form \(p = a + b w\)
- Find the equation of the regression line of \(p\) on \(w\)
- Hence estimate the percentage oil content of a sunflower seed which weighs 60 milligrams.