1 For each of a random sample of 10 customers, a store records the time, \(x\) minutes, spent shopping and the value, \(\pounds y\), to the nearest 10 p, of items purchased. The results are tabulated below.
| Time (x) | 13 | 4 | 5 | 10 | 9 | 17 | 23 | 16 | 2 | 16 |
| Value (y) | 12.5 | 5.7 | 2.3 | 18.4 | 7.9 | 17.1 | 17.9 | 18.6 | 8.3 | 21.3 |
- Calculate the value of the product moment correlation coefficient between \(x\) and \(y\).
- Interpret your value in context.
- Write down the value of the product moment correlation coefficient if the time had been recorded in seconds and the value in pence to the nearest 10p.