AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PProblem SolvingQuestion 14
14
AssignmentMultiple Choice

Problem Solving

Question 14 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

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?

Answer
A
r = –1
B
r = –0.5
C
r = 0
D
r = 0.5
E
r = 1

Explanation

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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