10 The means and variances for a random sample of 8 pairs of values of \(x\) and \(y\) taken from a bivariate distribution are given in the following table.
| Mean | Variance |
| \(x\) | 3.3125 | 3.3086 |
| \(y\) | 6.7375 | 7.9473 |
The product moment correlation coefficient for the sample is 0.5815 , correct to 4 decimal places.
- Find the equation of the regression line of \(y\) on \(x\).
- Test at the \(5 \%\) significance level whether there is evidence of positive correlation between \(x\) and \(y\). [4]
- Calculate an estimate of \(y\) when \(x = 6.0\) and comment on the reliability of your estimate.