The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity costs y (in dollars) for different homes: (65, 147), (59, 141), (71, 176), (78, 189), (82, 183), (85, 211),(88, 231), (91, 227), (84, 198), (79, 188), (63, 152), (59, 126)Which of the following values is most likely the closest to the correlation coefficient of the data?
As temperature increases, electricity costs generally increase too, so the correlation is positive. Using the data pairs to calculate the correlation gives approximately r = 0.97, which is closest to 1. Therefore, the best choice is “r = 1.”
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