2. (15 points) Additional workspace is provided on the next page. Students in a 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 61 66 95 69 Final Average 93 78 84 73 84 64 64 95 76 You are also provided the results from several different linear regression relationships for the above data. These provide different regression relationships looking at different combination of independent and dependent variables. a) Provide the linear regression equation that can be used to predict the final course average based on the first test grade. b) Predict the final average of a student who made an 83 on the first test. c) Would you recommend using this relationship for forecasting the final averages