A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.

HW3

13.3

21.9

9.7

25

5.4

13.2

20.9

18.5

20

86.2

15.4

25

9.7

6.4

20.2

21.8

23.1

23

11.4

14.9

18.4

15.1

15

16.8

Midterm

59.811

87.539

53.728

96.283

39.174

66.092

89.729

78.98

86.2

73.274

52.257

43.984

79.762

84.258

92.911

45.034

71.869

76.704

60.431

65.15

77.208

Based on the data in the table, is there a significant linear relationship between HW3 and the Midterm grade?

A.

Yes, because the p-value = 0.0000

B.

No, because the p-value = 0.0000

C.

Yes, because the p-value = 0.05

D.

Cannot determine