4. The following regression is fitted using variables identified that could be related to tuition charges ($) of a university. TUITION = α+ ẞ ACCEPT + y MSAT + 1 VSAT Where ACCEPT = the percentage of applicants that was accepted by the university, MSAT = Median Math SAT score for the freshman class and VSAT = Median English SAT score for the freshman class. The data was processed using MNITAB and the following is an extract of the output obtained: Predictor Coef StDev Τ Р Constant -26780 6115 -4.38 0.000 ACCEPT 116.00 37.17 * 0.003 MSAT -4.21 14.12 VSAT 70.85 15.77 -0.30 4.49 0.767 ** S = 2685 R-Sq = 69.6% R-Sq (adj) = 67.7% Analysis of Variance Source DF SS MS F Regression 3 808139371 Residual Error 49 Total 52 353193051 1161332421 269379790 7208021 37.37 Р 0.000 a) Write out the regression equation. b) State the dependent and independent variable(s) c) Fill in the blanks identified by ** and ****. d) Is ẞ significant, at the 10% level of significance? e) State one limitation of using the regression equation for predicting the value of the GPA score.

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4. The following regression is fitted using variables identified that could be related to tuition
charges ($) of a university.
TUITION =
α+ ẞ ACCEPT + y MSAT + 1 VSAT
Where ACCEPT = the percentage of applicants that was accepted by the university, MSAT =
Median Math SAT score for the freshman class and VSAT = Median English SAT score for the
freshman class.
The data was processed using MNITAB and the following is an extract of the output obtained:
Predictor
Coef
StDev
Τ
Р
Constant
-26780
6115
-4.38
0.000
ACCEPT
116.00
37.17
*
0.003
MSAT
-4.21
14.12
VSAT
70.85
15.77
-0.30
4.49
0.767
**
S = 2685
R-Sq = 69.6%
R-Sq (adj)
=
67.7%
Analysis of Variance
Source
DF
SS
MS
F
Regression
3
808139371
Residual Error
49
Total
52
353193051
1161332421
269379790
7208021
37.37
Р
0.000
a) Write out the regression equation.
b) State the dependent and independent variable(s)
c) Fill in the blanks identified by ** and ****.
d) Is ẞ significant, at the 10% level of significance?
e) State one limitation of using the regression equation for predicting the value of the GPA
score.
Transcribed Image Text:4. The following regression is fitted using variables identified that could be related to tuition charges ($) of a university. TUITION = α+ ẞ ACCEPT + y MSAT + 1 VSAT Where ACCEPT = the percentage of applicants that was accepted by the university, MSAT = Median Math SAT score for the freshman class and VSAT = Median English SAT score for the freshman class. The data was processed using MNITAB and the following is an extract of the output obtained: Predictor Coef StDev Τ Р Constant -26780 6115 -4.38 0.000 ACCEPT 116.00 37.17 * 0.003 MSAT -4.21 14.12 VSAT 70.85 15.77 -0.30 4.49 0.767 ** S = 2685 R-Sq = 69.6% R-Sq (adj) = 67.7% Analysis of Variance Source DF SS MS F Regression 3 808139371 Residual Error 49 Total 52 353193051 1161332421 269379790 7208021 37.37 Р 0.000 a) Write out the regression equation. b) State the dependent and independent variable(s) c) Fill in the blanks identified by ** and ****. d) Is ẞ significant, at the 10% level of significance? e) State one limitation of using the regression equation for predicting the value of the GPA score.
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