A model to explain the standardized outcome on a final exam (stndfnl) in terms of percentage of classes attended (antrte), prior college grade point average (priGPA), and university entrance exam (ACT) score is stndfnl Bo+ B,antrte + B₂priGPA+ BapriGPA²+B₁ACT+BACT2+ BapriGPA antrte Using the 680 observations for students in a course, the estimated equations are M Model 1 Model 2 Model 3 intercept antrte priGPA 2.0502 0.2729 0.0296 (1.3603) (0.6239) (0.0379) -0.0067 (0.0102) -1.6285 -1.3436 to scro .

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 16E
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A model to explain the standardized outcome on a final exam (stndfnl) in terms of percentage of classes
attended (antrte), prior college grade point average (priGPA), and university entrance exam (ACT) score is
stndfnl= Bo+ B,antrte + B₂priGPA+ BapriGPA²+B,ACT +BACT2+BopriGPA - antrte
Using the 680 observations for students in a course, the estimated equations are
Model 1 Model 2 Model 3
2.0502 0.2729
0.0296
(1.3603) (0.6239)
(0.0379)
-0.0067
intercept
antrte
priGPA
priGPA^2
ACT
ACT^2
priGPA antrte
(0.0102)
-1.6285
(0.4810)
0.2959
(0.1010)
-0.1280)
(0.0984)
0.0045
-1.3436
(0.4650)
0.3519
(0.0885)
0.0014
(0.0021) (0.0002)
0.0055
(0.0043)
0.2286
0.2170
512.7624 520.4797
0.0000
664.7634
R^2
SSR
a-
Is the whole model 1 significant at a 5% significance level? Write the necessary hypotheses.
b- How can you conclude, excluding or keeping the variables, antrte, ACT, and the interaction term
priGPA antrte is good or not good for model 1 at a 5% significance level?
C-
Show that the partial effect of attendance rate on final scores also relies on priGPA.
d- Calculate the partial effect of attendance rate on final scores when the avarage priGPA is 2.59.
Interprete the result you have calculated.
Transcribed Image Text:A model to explain the standardized outcome on a final exam (stndfnl) in terms of percentage of classes attended (antrte), prior college grade point average (priGPA), and university entrance exam (ACT) score is stndfnl= Bo+ B,antrte + B₂priGPA+ BapriGPA²+B,ACT +BACT2+BopriGPA - antrte Using the 680 observations for students in a course, the estimated equations are Model 1 Model 2 Model 3 2.0502 0.2729 0.0296 (1.3603) (0.6239) (0.0379) -0.0067 intercept antrte priGPA priGPA^2 ACT ACT^2 priGPA antrte (0.0102) -1.6285 (0.4810) 0.2959 (0.1010) -0.1280) (0.0984) 0.0045 -1.3436 (0.4650) 0.3519 (0.0885) 0.0014 (0.0021) (0.0002) 0.0055 (0.0043) 0.2286 0.2170 512.7624 520.4797 0.0000 664.7634 R^2 SSR a- Is the whole model 1 significant at a 5% significance level? Write the necessary hypotheses. b- How can you conclude, excluding or keeping the variables, antrte, ACT, and the interaction term priGPA antrte is good or not good for model 1 at a 5% significance level? C- Show that the partial effect of attendance rate on final scores also relies on priGPA. d- Calculate the partial effect of attendance rate on final scores when the avarage priGPA is 2.59. Interprete the result you have calculated.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,