- A personnel manager wants to find out if a test carried out during an employee's interview and a skills assessment at the end of basic training is a guide to performance after working for the company for one year.
The table below shows the results of the interview test of 10 employees and their performance after one year.
| Employee | A | \(B\) | C | D | \(E\) | \(F\) | G | \(H\) | I | J |
| Interview test, \(x\) \%. | 65 | 71 | 79 | 77 | 85 | 78 | 85 | 90 | 81 | 62 |
| Performance after one year, \(y \%\). | 65 | 74 | 82 | 64 | 87 | 78 | 61 | 65 | 79 | 69 |
$$\text { [You may use } \sum x ^ { 2 } = 60475 , \sum y ^ { 2 } = 53122 , \sum x y = 56076 \text { ] }$$
- Showing your working clearly, calculate the product moment correlation coefficient between the interview test and the performance after one year.
The product moment correlation coefficient between the skills assessment and the performance after one year is - 0.156 to 3 significant figures.
- Use your answer to part (a) to comment on whether or not the interview test and skills assessment are a guide to the performance after one year. Give clear reasons for your answers.