1.The table shows the test scores and the sleep averages of several students.

Test Score (%)

88

75

76

92

96

94

83

90

99

65

77

88

82

83

94

97

Average Sleep (h)

7

6.5

6

7.5

8

7

6.5

8

8.5

5

7

9

8

8.5

8.5

9

(a)Write the least squares regression equation that models the data.

Let x = the test score and y = average sleep.

(b)Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night.