Please answer this 3 part question showing all work and calculations. Use the tables provided for the necessary data.

SHOW ALL WORK AND CALCULATIONS

Provide the linear regression equation that can be used to predict the final course average based on the first test grade.

A. 83.78+-1.13 *(First Test Grade) )

B. 16.51+0.75 *(First Test Grade)

C. 92.92+-2.18 *(First Test Grade) 0

D. -4.35+1.11*(First Test Grade)

Predict the final average of a student who made an 86 on the first test.

A. 81.01

B. 82.89

C. 79.33

D. 85.43

Would you recommend using this relationship for forecasting the final averages?

A. Recommend

B. Not Recommend

Use the following information for Questions 6-10 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: 1 2 3 4 5 6 7 8 9 99 78 89 81 97 62 67 96 70 Student 1st Test Grade Final Average 92 77 83 72 83 63 63 94 75 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. Value of b Slope Value of a (y-intercept Coefficient of determination, r? -1.13 83.78 0.073 Regression Independent Dependent variable Relationship variable Regressioni Student Final Ave Regression2 Final Ave 1st Test grade Regression Student 1st Test grade Regression4 1st Test grade Final Ave Regression5 Final Ave Student 1.11 -4.35 0.831 0.183 -2.18 0.75 92.92 16.51 0.831 0.066 10.16 0.073