Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previous classes as well as the final average for the same students. Some of these grades have been sampled and are as follows:

STUDENT

1 2 3 4 5 6 7 8 9

1st test grade

98

77

88

80

96

84

61

66

95

69

Final average

93

77

78

84

73

64

64

95

76

1. Draw a scatter diagram of the problem above.

2. Develop a regression model that could be used to predict the final average in the course based on the first test grade. Include in the scatter diagram.

3. Predict the final average of the student who made an 83 on the first test.

4. What and how strong is the relationship of the test grade and final average?