10 For a random sample of 10 observations of pairs of values \(( x , y )\), the equation of the regression line of \(y\) on \(x\) is \(y = 1.1664 + 0.4604 x\). It is given that
$$\Sigma x ^ { 2 } = 1419.98 \quad \text { and } \quad \Sigma y ^ { 2 } = 439.68 .$$
The mean value of \(y\) is 6.24 .
- Find the equation of the regression line of \(x\) on \(y\).
- Find the product moment correlation coefficient.
- Test at the \(5 \%\) significance level whether there is evidence of positive correlation between the two variables.