10.0p c We would like to see if there is a relationship between the number of study hours and the grade of the student Therefore we perform a linear regression analysis in Table 1.3. Here the variable 'Grade' denotes the grade of the student, 'Hours' denotes the number of study hours, 'HoursSq' denotes the square of 'Hours', and 'DMaster' is a dummy variable that is equal to 1 if the student is a master student, and O if a bachelor student Table 1.3 Cosmiclants Unstandardized Standardized Coefficients Coefficients Model B Std. Error Beta 1 (Constant) -2.518 1.979 -1.273 .207 Hours .751 .127 4.573 5.896 .000 HoursSq -.013 .002 -5.047 -6.536 .000 DMaster .368 .155 207 2.380 .020 a. Dependent variable: Grade Model Summary Std. Error Change Statistics Adjusted of the R Square Sig. F Model R R Square R Square Estimate Change F Change df2 Change 1 .729- .531 .510 .621 531 25.673 68 000 a. Predictors: (Constant), Hours, HoursSq, DMaster 1. (4 pts) According to the model output, for a master student, how many study hours a week yield the highest grade on average? 2. (6 pts) For a bachelor student who studies 28 hours a week, predict the grade of the student, also give an approximate 95-percent prediction interval