1
The table shows the annual gas consumption, \(x \mathrm { kWh }\), and the annual electricity consumption, \(y \mathrm { kWh }\), for a sample of 10 bungalows of similar size and occupancy. $$S _ { x x } = 76581640 \quad S _ { y y } = 694250 \quad S _ { x y } = 3629670$$

1. Calculate the value of \(r _ { x y }\), the product moment correlation coefficient between \(x\) and \(y\).
2. Interpret your value of \(r _ { x y }\) in the context of this question.