1 The weight, \(x \mathrm {~kg}\), and the engine power, \(y \mathrm { bhp }\), of each car in a random sample of 10 hatchback cars are shown in the table.
| \(\boldsymbol { x }\) | 1196 | 1062 | 1335 | 1429 | 1012 | 1355 | 1145 | 1417 | 1275 | 1284 |
| \(\boldsymbol { y }\) | 123 | 88 | 150 | 158 | 69 | 120 | 94 | 143 | 107 | 128 |
- Calculate the value of the product moment correlation coefficient between \(x\) and \(y\).
- Interpret your value in the context of the question.
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