Question 30 3 pts A study of the top MBA programs attempted to predict the average starting salary (in $1000's) of graduates of the program based on the amount of tuition (in $1000's) charged by the program and the average GMAT score of the program's students. The results of a regression analysis based on a sample of 75 MBA programs is shown below: Least Squares Linear Regression of Salary Predictor Variables Coefficient Std Error T P Constant -203.402 51.6573 -3.94 0.0002 Gmat 0.39412 0.09039 4.36 0.0000 Tuition 0.92012 0.17875 5.15 0.0000 The model was then used to create 95% confidence and prediction intervals for y and for the mean of y when the tuition charged by the MBA program was $75,000 and the GMAT score was 675. The results are shown here: 95% confidence interval for mean of y: ($126,610, $136,640) 95% prediction interval for y: ($90,113, $173,160) Which of the following interpretations is correct if you want to use the model to estimate y for a single MBA program? O We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition and have an average GMAT score of 675 will fall between $90,113 and $173,16,30. O We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition and have an average GMAT score of 675 will fall between $126,610 and $136,640.We are 95% condent that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition and has an average GMAT score of 675 will fall between $90,113 and $173,16,30. We are 95% condent that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition and has an average GMAT score of 675 will fall between $126,610 and $136,640. Question 31 3 pts A study of the top MBA programs attempted to predict the average starting salary (in $1000's) of graduates of the program based on the amount of tuition (in $1000's) charged by the program and the average GMAT score of the program's students. The results of a regression analysis based on a sample of 75 MBA programs is shown below: Least Squares Linear Regression of Salary Predictor Variables Coefficient Std Error T P Constant -203.402 51.6573 -3.94 0.0002 Gmat 0.39412 0.09039 4.36 0.0000 Tuition 0.92012 0.17875 5.15 0.0000 The model was then used to create 95% confidence and prediction intervals for y and for the mean of y when the tuition charged by the MBA program was $75,000 and the GMAT score was 675. The results are shown here: 95% confidence interval for mean of y: ($126,610, $136,640) 95% prediction interval for y: ($90,113, $173,160) Which of the following interpretations is correct if you want to use the model to estimate mean value of y for all MBA programs? O We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition and have an average GMAT score of 675 will fall between $126,610 and $136,640. O We are 95% confident that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition and has an average GMAT score of 675 will fall between $90,113 and $173,16,30.We are 95% condent that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition and have an average GMAT score of 675 will fall between $90,113 and $173,16,30. We are 95% condent that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition and has an average GMAT score of 675 will fall between $126,610 and $136,640