Suppose daily high and low temperature measures were taken for 50 days. For each day, the daily high temperature was exactly 10 degrees higher than the daily low temperature. For example, on a day with a high temperature of 80° , the low temperature was 70° . What is the best estimate of the correlation coefﬁcient between the daily high and daily low temperatures?
A)No conclusions can be drawn without seeing a scatterplot of the data.
B)The correlation coefﬁcient between the daily high and low temperatures is equal to -1.
C)The correlation coefﬁcient between the daily high and low temperatures is equal to 0.
D)The correlation coefﬁcient between the daily high and low temperatures is equal to 1.

Question

Quizplus · Accepted Answer

The correlation coefficient is equal to 1 because there is a perfect positive linear relationship between the daily high and low temperatures, with the high temperature always being exactly 10 degrees higher than the low temperature.

Suppose Daily High and Low Temperature Measures Were Taken for 50