Question

**Do A-D**

The following table contains the ACT scores and the GPA (grade point average) for eight college students. Grade point average is based on a four-point scale and has been rounded to one digit after the decimal.

Student 1 2 3 4 5 6 7 8

GPA (y) 2.8 3.4 3.0 3.5 3.6 3.0 2.7 3.7

ACT (x) 21 24 26 27 29 25 25 30

We want to fit a straight-line model to relate GPA y to the ACT. ??? = ?0 + ?1 ??? + ?

a. Compute: ????, ????, ????, ?̂ 0, ?̂ 1 and hence write the equation of the fitted line.

b. Compute the fitted values and residuals for each observation, and verify that the residuals (approximately) sum to zero. (Do not use computer for parts c,d,e).

c. Draw a scatter plot of ACT and GPA

d. On your scatter plot draw the fitted line you have in part (b).

e. On your plot indicate ?3, ?̂3,?̂3

Where ?̂3 ?? ?ℎ? ???????? ??? ?ℎ? ?ℎ??? ???????????.

Answer #1

Start of Questions
To compute a student's Grade Point Average (GPA) for a term, the
student's grades for each course are weighted by the number of
credits for the course. Suppose a student had these grades:
3.7 in a 5 credit Math course
2.6 in a 2 credit Music course
2.7 in a 5 credit Chemistry course
3.2 in a 4 credit Journalism course
What is the student's GPA for that term? Round to two decimal
places.

The following data are the monthly salaries y and the
grade point averages x for students who obtained a
bachelor's degree in business administration.
GPA
Monthly Salary ($)
2.7
3,600
3.5
3,800
3.7
4,200
3.2
3,700
3.4
4,200
2.7
2,400
The estimated regression equation for these data is = -277.3 +
1,227.3x and MSE =217,386.
a. Develop a point estimate of the starting
salary for a student with a GPA of 3.0 (to 1 decimal).
$
b. Develop a 95%...

12. ANALYSIS
OF VARIANCE
The average of grade
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Develop a point estimate of the starting salary for a student with
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Freshman
Sophomore
Junior
Senior
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2.8 2.1
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To compute a student's Grade Point Average (GPA) for a term, the
student's grades for each course are weighted by the number of
credits for the course. Suppose a student had these grades:
3.8 in a 5 credit Math course
2.0 in a 3 credit Music course
2.6 in a 5 credit Chemistry course
2.9 in a 4 credit Journalism course
What is the student's GPA for that term? Round to two decimal
places.
Student's GPA =

The following data are
the monthly salaries y and the grade point averages
x for students who obtained a bachelor's degree in
business administration.
GPA
Monthly Salary
($)
2.6
3,500
3.4
3,900
3.6
4,200
3.1
3,800
3.5
4,200
3
2,300
The estimated
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a.
Develop a point estimate of the starting salary for a student with
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$
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a. II) and III)
b. I) and III)
c. II) only
d. III) only
e. I) only
According to the Table below, what is the...

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