The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions.
The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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- The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the
correlation matrix and dummy regression output to answer the questions.
GPA |
HS |
A |
AS |
S |
M |
PC |
D |
B |
F |
HR |
MR |
|
GPA |
1.00 |
|||||||||||
HS |
0.41 |
1.00 |
||||||||||
A |
-0.02 |
-0.26 |
1.00 |
|||||||||
AS |
0.21 |
0.35 |
-0.08 |
1.00 |
||||||||
S |
-0.26 |
-0.09 |
-0.08 |
0.12 |
1.00 |
|||||||
M |
-0.08 |
-0.21 |
0.04 |
0.18 |
0.20 |
1.00 |
||||||
PC |
0.22 |
0.04 |
-0.09 |
0.04 |
-0.21 |
-0.07 |
1.00 |
|||||
D |
-0.11 |
-0.19 |
0.27 |
-0.20 |
0.26 |
-0.08 |
0.02 |
1.00 |
||||
B |
0.08 |
0.14 |
-0.05 |
0.16 |
-0.13 |
0.13 |
-0.10 |
-0.38 |
1.00 |
|||
F |
0.08 |
0.12 |
-0.22 |
0.18 |
0.06 |
0.04 |
0.08 |
-0.08 |
-0.11 |
1.00 |
||
HR |
0.08 |
0.17 |
-0.49 |
0.08 |
0.06 |
0.05 |
-0.04 |
-0.11 |
0.07 |
-0.12 |
1.00 |
|
MR |
-0.10 |
-0.19 |
0.37 |
-0.11 |
-0.05 |
0.02 |
0.05 |
0.08 |
0.01 |
-0.15 |
-0.79 |
1.00 |
- Which 2 pairs of variables are most correlated with the regressand?
- Which 3 pairs of variables are mostly multicollinear?
- Identify 3 pairs of variables that are most correlated.
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