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CAPE Applied Mathematics Unit 1 · 2017 · Paper 1 · Question Q37

The time, x minutes, taken for an air conditioning unit to reach its desired temperature, y\ ^\circ\text{C}, when switched on on 9 different occasions is summarized by \Sigma x = 68.8, \Sigma x^2 = 753.9, \Sigma y = 180, \Sigma y^2 = 5100, \Sigma xy = 1960. The sample product-moment correlation coefficient, to 3 significant figures, is

  1. (A)0.153
  2. (B)0.500
  3. (C)0.756
  4. (D)0.999

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