- Two variables \(x\) and \(y\) are such that, for a sample of ten pairs of values,
$$\sum x = 104 \cdot 5 , \quad \sum y = 113 \cdot 6 , \quad \sum x ^ { 2 } = 1954 \cdot 1 , \sum y ^ { 2 } = 2100 \cdot 6 .$$
The regression line of \(x\) on \(y\) has gradient 0.8 . Find
- \(\sum x y\),
- the equation of the regression line of \(y\) on \(x\),
- the product moment correlation coefficient between \(y\) and \(x\).
- Describe the kind of correlation indicated by your answer to (c).