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)

		Option 1: Scoring one percent higher on the quizzes increases a student's exam score by 0.898
		Option 2: The average quiz score explains about 95% of the variance in exam grades
		Option 3: This model is superior to the null-model which uses the mean exam score for every student, at a 1% significance level.
		Option 4 :The model covers the full range of possible exam scores.
		Option 4: 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.