9231 P21 - Nov 2019 - Q9 - 10 marks
6100
A random sample of five pairs of values of \(x\) and \(y\) is taken from a bivariate distribution. The values are shown in the following table, where \(p\) and \(q\) are constants.
| \(x\) | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| \(y\) | 4 | \(p\) | \(q\) | 2 | 1 |
The equation of the regression line of \(y\) on \(x\) is \(y=-0.5x+3.5\).
(i) Find the values of \(p\) and \(q\).
(ii) Find the value of the product moment correlation coefficient.
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