The regression equation is |
Y=9.28+0.565X1+0.065X2-0.231X3 |
|
Predictor |
Coef |
SE Coef |
T |
P |
|---|
Constant |
9.276 |
-7.247 |
-1.28 |
0.214 |
|---|
X1 |
0.5654 |
1.5281 |
0.37 |
0.716 |
|---|
X2 |
0.0646 |
0.0267 |
2.42 |
0.025 |
|---|
X3 |
-0.2313 |
-0.1688 |
1.37 |
0.184 |
|---|
|
S=4.83735 |
R-Sq=14.9% |
R-Sq(adj)=2.8% |
|
Analysis of Variance |
Source |
DF |
SS |
MS |
F |
P |
|---|
Regression |
3 |
86.2 |
28.74 |
1.23 |
0.322 |
Residual Error |
21 |
491.4 |
23.4 |
|
|
Total |
24 |
577.6 |
|
|
|
|
(a) Which variable might we try eliminating first to possibly improve this model?
X1
X2
X3
(b) What is R2 for this model?
R2=
Enter your answer in accordance to item (b) of the question statement %
Do we expect R2 toincrease,decrease, orremain the same if we eliminate the variable chosen in part (a)?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
Remain the same
What type of change in R2 would indicate that removing the variable in part (a) was a good idea?
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Large increase
Small increase
Small decrease
Large decrease
A bad idea?
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Large increase
Small increase
Small decrease
Large decrease
(c) What is thep-value for ANOVA for the original 3-predictor model?
p-value =
Enter your answer in accordance to item (c) of the question statement
Is thep-value most likely toincrease,decrease, orremain the same if we eliminate the variable chosen in part (a)?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
Remain the same
What type of change in thep-value for ANOVA would indicate that removing the variable in part (a) was a good idea?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
A bad idea?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
(d) What is theF-statistic from ANOVA for this model?
F-statistic = Enter your answer in accordance to item (d) of the question statement
Is theF-statistic most likely toincrease,decrease, orremain the same if we eliminate the variable chosen in part (a)?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
Remain the same
What type of change in theF-statistic for ANOVA would indicate that removing the variable in part (a) was a good idea?