9231 P21 - Jun 2019 - Q10 - 11 marks
6125
The values from a random sample of five pairs \((x,y)\) taken from a bivariate distribution are shown below.
| \(x\) | 3 | 4 | 4 | 6 | 8 |
|---|---|---|---|---|---|
| \(y\) | 5 | 7 | \(q\) | 6 | 7 |
The equation of the regression line of \(x\) on \(y\) is given by \(x=\dfrac{5}{4}y+c\).
(i) Given that \(q\) is an integer, find its value.
(ii) Find the value of \(c\).
(iii) Find the value of the product moment correlation coefficient.
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