1.Interpret the following results of multiple regression. Interpret each statist
ID: 2949250 • Letter: 1
Question
1.Interpret the following results of multiple regression. Interpret each statistic (b and beta) for each independent variable and the intercept. Provide a complete interpretation using the five-step model of hypothesis testing.
Regression: The Relationship Between Number of Math Courses Taken, High School Grade Point Average, College Grade Point Average and Score on Stat Final
Variables Entered/Removed(b)
Model
Variables Entered
Variables Removed
Method
1
Number of Math Courses taken, High School Grade Point Average, College Grade Point Average(a)
.
Enter
a All requested variables entered.
b Dependent Variable: Score on Stat Final
Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.898(a)
.806
.797
6.117
a Predictors: (Constant), Number of Math Courses taken, High School Grade Point Average, College Grade Point Average
ANOVA(b)
Model
Sum of Squares
df
Mean Square
F
Sig.
1
Regression
9961.322
3
3320.441
88.733
.000(a)
2394.914
64
37.421
12356.235
67
a Predictors: (Constant), Number of Math Courses taken, High School Grade Point Average, College Grade Point Average
b Dependent Variable: Score on Stat Final
Coefficients(a)
Model
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
Std. Error
Beta
(Constant)
-8.251
2.882
-2.863
.006
5.095
1.195
.271
4.263
.000
9.915
1.161
.581
8.540
.000
2.901
.679
.261
4.271
.000
a Dependent Variable: Score on Stat Final
Model
Variables Entered
Variables Removed
Method
1
Number of Math Courses taken, High School Grade Point Average, College Grade Point Average(a)
.
Enter
Explanation / Answer
Hypotehsis testing:
H0:slope=0
H1:atleast one of the slope not =0
alpha=0.05
F=88.733
p=.000
Model is significant
Reject Null hypothesis.
There is suffiicient statistical evidence at 5% level of significance to conclude that the slopes of regression line are not equal to zero.
For (Constant) t=-2.83 p=0.06
p>0.05
Y intercept is not signficant.
For Number of Math Courses taken t=4.271,p=0.000
p<0.05
Number of Math Courses is significant variable.
For High School Grade Point Average,t=4.263
p=0.000 and p<0.05
High School Grade Point Average is significant.
For College Grade Point Average,t=8.540 p=0.00
p<0.05
College Grade Point Average is significant variable.
Coeffiiecient of determiantion=R sq=0.806
80.6% variation inScore on Stat Final is explained by 3 IV's
Number of Math Courses taken, High School Grade Point Average, College Grade Point Average.
Good model.
Final regression eq is
From output
Score on Stat Final=-8.251+5.095*High School Grade Point Average+9.915*College Grade Point Average
+2.901*Number of Math courses taken.
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