45. It is generally believed that students’ performance on a test is related to number of hours of sleep they have the night before the test. To verify this belief, 12 students were asked how many hours they slept on the night before the test. The following data shows the number of hours of sleep on the night before the test and the test scores of each of the 12 students. Determine the correlation coefficient between the hours of sleep and test scores. Interpret the value of the correlation coefficient you have determined.

Student 1 2 3 4 5 6 7 8 9 10 11 12 Hoursofsleep 8 8 6 5 8 8 7 6 7 5 4 6 Test scores 89 84 88 85 87 97 93 90 87 90 86 72