Amodel to explain the standarded outcase on a final exam (stndfril) in terms of percentage of classes attended (antrte), prior college grade point average (priGPA), and university entrance exam (ACT) score is stndfnl = Bo + B₁antrte+ B₂priGPA + B3priGPA² + P4ACT +BACT² + BopriGPA antrt Using the 680 observations for students in a course, the estimated equations are Model 1 Model 2 Model 3 0.2729 (0.6239) intercept 2.0502 (1.3603) 0.0296 (0.0379) *

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the pop
3- Amodel to explain the standarded outc are on a final exam (strdfril) in terms of percentage of classes
attended (antrte), prior college grade point average (priGPA), and university entrance exam (ACT) score is
stndfnl = Bo + B₁antrte+ P₂priGPA + PapriGPA²+ B4ACT +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
(1.3603) (0.6239)
-0.0067
(0.0102)
--1.6285
intercept
C-
antrte
priGPA
priGPA^2
ACT
ACT^2
priGPA*antrte
-1.3436
(0.4810) (0.4650)
0.2959
0.3519
(0.1010)
(0.0885)
-0.1280)
(0.0984)
0.0045
0.0014
(0.0021) (0.0002)
0.0055
0.0296
(0.0379)
(0.0043)
R^2
0.2286
0.2170
0.0000
SSR
512.7624 520.4797 664.7634
Is the whole model 1 significant at a 5% significance level? Write the necessary hypotheses.
a-
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?
Show that the partial effect of attendance rate on final scores also relies on priGPA.
Id- 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:the pop 3- Amodel to explain the standarded outc are on a final exam (strdfril) in terms of percentage of classes attended (antrte), prior college grade point average (priGPA), and university entrance exam (ACT) score is stndfnl = Bo + B₁antrte+ P₂priGPA + PapriGPA²+ B4ACT +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 (1.3603) (0.6239) -0.0067 (0.0102) --1.6285 intercept C- antrte priGPA priGPA^2 ACT ACT^2 priGPA*antrte -1.3436 (0.4810) (0.4650) 0.2959 0.3519 (0.1010) (0.0885) -0.1280) (0.0984) 0.0045 0.0014 (0.0021) (0.0002) 0.0055 0.0296 (0.0379) (0.0043) R^2 0.2286 0.2170 0.0000 SSR 512.7624 520.4797 664.7634 Is the whole model 1 significant at a 5% significance level? Write the necessary hypotheses. a- 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? Show that the partial effect of attendance rate on final scores also relies on priGPA. Id- Calculate the partial effect of attendance rate on final scores when the avarage priGPA is 2.59. Interprete the result you have calculated.
Expert Solution
Step 1

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case you require the unanswered parts also, kindly re-post that parts separately.

a.

Null Hypothesis:

H0: The model 1 is not significant.

Alternative Hypothesis"

H1: The model 1 is significant.

Test Statistic:

F=R2k1-R2n-k-1Here,n=number of observationsk=number predictor variables

From the given information,

R2=0.2286n=680k=3 since there are 3 predictors

Therefore,

F=R2k1-R2n-k-1 =0.228631-0.2286680-3-1 =0.07620.0011 =69.2727

P value:

df=(k, n-k-1)=(3, 680-3-1)=(3, 676).

P=0.0000, obtained from the excel function, =F.DIST.RT(69.2727,3,676).

Decision Rule:

If p-value ≤ α, then reject the null hypothesis.

Conclusion:

Let the level of significance is α=0.05

Here, the p-value is less than the level of significance.

From the decision rule, reject the null hypothesis.

It can be concluded that “The model 1 is significant”.

 

 

 

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