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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a.
Null Hypothesis:
H0: The model 1 is not significant.
Alternative Hypothesis"
H1: The model 1 is significant.
Test Statistic:
From the given information,
Therefore,
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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