The following printouts show the results of a regression analysis…

Question Answered step-by-step The following printouts show the results of a regression analysis… The following printouts show the results of a regression analysis relating the grades on the second midterm test to the grades on the first midterm test for the large calculus class Image transcription textFitted Line Plot midterm 2 = 28.02 + 0.6589 midterm 1 100 S 5.78809 R-Sq 60.5% R-Sq(adj) 60.3% 90 80 midterm 2 70 60 50 40 L 40 50 60 70 80 90 100 midterm1… Show moreImage transcription textRegression Analysis: midterm 2 versus midterm 1 The regression equation is midterm 2 = 28.02 + 0.6589 midterm 1 S = 5.78809 R-Sq = 60.5% R-Sq(adj ) = 60.3 Analysis of Variance Source DF SS MS F P Regression 1 11455. 3 11455.3 341.93 0.000 Error 223 7470.9 33.5 Total 22418926.2… Show more 1. What is the fitted least squares regression line?2. What is the fitted intercept? 3. [1 point] What is the fitted slope?4. How does the grade on midterm 2 tend to change per one point increase on midterm 1?5. How does the grade on midterm 2 tend to change per ten point increase on midterm 1?6. What amount of variability in the midterm 2 grades is left unexplained when their mean is used as a single-number summary to predict (or “explain”) the midterm 2 grades?7. What amount of variability in the midterm 2 grades is left unexplained when the midterm 1 grades are used to predict (or “explain”) the midterm 2 scores through a linear relationship?8. What amount of variability in the midterm 2 grades is explained when the midterm 1 grades are used to predict (or “explain”) the midterm 2 grades through a linear relationship?9. What proportion of variability in the midterm 2 grades is explained when the midterm 1 grades are used to predict (or “explain”) the midterm 2 grades through a linear relationship?10. In the fitted line plot, what is the sum of the squared vertical distances between the data points and the fitted least squares linear regression line?11. What is the predicted grade on midterm 2 of a student who received a grade of 60 on midterm 1?12. What is the correlation coefficient between the grades on midterm 1 and the grades on midterm 2? Please show the workings for each question Math Statistics and Probability ILRST 2100 Share QuestionEmailCopy link Comments (0)