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. GPAHSAASSMPCDBFHRMRGPA1.00 HS0.411.00 A-0.02-0.261.00 AS0.210.35-0.081.00 S-0.26-0.09-0.080.121.00 M-0.08-0.210.040.180.201.00 PC0.220.04-0.090.04-0.21-0.071.00 D-0.11-0.190.27-0.200.26-0.080.021.00 B0.080.14-0.050.16-0.130.13-0.10-0.381.00 F0.080.12-0.220.180.060.040.08-0.08-0.111.00 HR0.080.17-0.490.080.060.05-0.04-0.110.07-0.121.00 MR-0.10-0.190.37-0.11-0.050.020.050.080.01-0.15-0.791.00 The estimated equation by OLS isGPA=.73 + .44HS + .04A + .01AS - .07S + .02M + .14PC + .01D + .01B + .16F + .08HR - .01MR (.76) (.10) (.03) (.01) (.03) (.06) (.06) (.08) (.06) (.23) (.12) (.10) [1.36] [1.75] [1.32] [1.28] [1.23] [1.11] [1.43] [1.26] [1.47] [4.22] [3.45]Residual (df) =129, TSS=19.41, ESS=14.03. Values in parentheses (under the regression equation) are standard errors and those in square brackets are the variance inflation factors (VIFs). Determine the fitness of the regression modelDetermine if the coefficient of high school GPA is statistically different from zero?3.Specify the whole regression model and identify 2 relevant error terms.

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Description: 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), averag

1.To determine the fitness of the regression model, the value of the r-squared is obtained by the…

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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

The estimated equation by OLS is

GPA=.73 + .44HS + .04A + .01AS - .07S + .02M + .14PC + .01D + .01B + .16F + .08HR - .01MR

(.76) (.10) (.03) (.01) (.03) (.06) (.06) (.08) (.06) (.23) (.12) (.10)

[1.36] [1.75] [1.32] [1.28] [1.23] [1.11] [1.43] [1.26] [1.47] [4.22] [3.45]

Residual (df) =129, TSS=19.41, ESS=14.03.

Values in parentheses (under the regression equation) are standard errors and those in square brackets are the variance inflation factors (VIFs).

Determine the fitness of the regression model
Determine if the coefficient of high school GPA is statistically different from zero?

3.Specify the whole regression model and identify 2 relevant error terms.

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