12
AssignmentMultiple Choice

Scatterplots

Question 12 • Algebra 2 - Semester 1 Pathways

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?r = –1r = –0.5r = 0r = 0.5r = 1

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

Explanation

As the average temperature rises, the electricity cost generally rises too, showing a strong positive relationship. The data points lie fairly close to an upward-sloping line, so the correlation is much closer to 1 than to 0. The best choice is r = 1.

AI-written and checked against the verified answer.

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