3. The marks obtained by ten students in a Geography test and a History test were as follows:
| Student | \(A\) | \(B\) | \(C\) | \(D\) | \(E\) | \(F\) | \(G\) | \(H\) | \(I\) | \(J\) |
| Geography \(( x )\) | 34 | 57 | 49 | 21 | 84 | 53 | 10 | 77 | 61 | 85 |
| History \(( y )\) | 40 | 49 | 55 | 40 | | 71 | 39 | 47 | 65 | 73 |
- Given that \(\sum y = 547\), calculate the mark obtained by student \(E\) in History.
Given further that \(\sum x ^ { 2 } = 34087 , \sum y ^ { 2 } = 31575\) and \(\sum x y = 31342\), calculate
- the product moment correlation coefficient between \(x\) and \(y\),
- an equation of the regression line of \(y\) on \(x\),
- an estimate of the History mark of student \(K\), who scored 70 in Geography.
- State, with a reason, whether you would expect your answer to part (d) to be reliable.
\section*{STATISTICS 1 (A) TEST PAPER 2 Page 2}