- A random sample of 50 salmon was caught by a scientist. He recorded the length \(l \mathrm {~cm}\) and weight \(w \mathrm {~kg}\) of each salmon.
The following summary statistics were calculated from these data.
\(\sum l = 4027 \quad \sum l ^ { 2 } = 327754.5 \quad \sum w = 357.1 \quad \sum l w = 29330.5 \quad S _ { w w } = 289.6\)
- Find \(S _ { l l }\) and \(S _ { l w }\)
- Calculate, to 3 significant figures, the product moment correlation coefficient between \(l\) and \(w\).
- Give an interpretation of your coefficient.