Question 19 A professor was investigating whether she could predict the performance on the midterm exam based on average quiz performance thus far. Their dataset is the following:

Average Quiz Score = [76, 81, 80, 65,60, 73, 95, 90, 82, 58, 77, 71]

Midterm Score = [83, 77, 85, 70, 62, 70, 92, 95, 86, 61, 70, 80]

Which of the following is true about the resulting linear regression model? (Select all that apply)

CHOOSE the appropriate answers(provide proper explanation for choosing the right option) A) Scoring one percent higher on the quizzes increases a student's exam score by 0.898 B) The average quiz score explains about 95% of the variance in exam grades C) This model is superior to the null-model which uses the mean exam score for every student, at a 1% significance level. D) The model covers the full range of possible exam scores.

E) Based on the root mean square error of predicted exam scores vs. actual exam scores, the model is on average about 10 points off the correct midterm score.