52. Analyzing College Grade Point Average. Recall that in exercise 49 , the admissions officer for Clearwater College developed the following estimated regression equation relating final college GPA to the student's SAT mathematics score and high-school GPA. \[ \hat{y}=-1.41+0.0235 x_{1}+0.00486 x_{2} \] where \[ \begin{aligned} x_{1} & =\text { high-school GPA } \\ x_{2} & =\text { SAT mathematics score } \\ y & =\text { final college GPA } \end{aligned} \] A portion of the associated computer output follows. LO 4, 5, 6

The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student’s grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X). So the director would like to fit a simple linear regression on Y and X.Based on the summary statistics below, please calculate the estimate of .=2666=2385.328=368.886=1183.379 = 93.928

The basic formula to calculate a student's GPA is the:A.addition of all grade points in completed courses divided by the number of classes completed.B.addition of all grade points in completed courses and subtraction of all uncompleted courses.C.multiplication of all grade points in completed classes and subtraction of all uncompleted courses.D.multiplication of all grade points in completed courses divided by the number of classes completed.

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 72.Homework Grade (x) Test Grade (y)6565 52527878 82827171 70707676 73738484 84845656 45456868 60607272 57577878 7777Copy Values for CalculatorOpen Statistics CalculatorAnswerAttempt 1 out of 2Regression Equation: Final Answer:

how final GPA university is calculated

predict(m,new_data,se.fit=TRUE, level=0.95,interval="confidence") 截屏2024-05-05 22.49.36.png This indicates that the average mathematics test score, with a 95% confidence interval, is between 57.327 and 80.759 across all schools in the state where 50% of the instructors have at least one mathematics university degree, their mean age is 43 years, and their mean yearly income is $78,500.predict(m,new_data,se.fit=TRUE, level=0.95,interval="confidence") 截屏2024-05-05 22.49.36.png This indicates that the average mathematics test score, with a 95% confidence interval, is between 57.327 and 80.759 across all schools in the state where 50% of the instructors have at least one mathematics university degree, their mean age is 43 years, and their mean yearly income is $78,500.