According to the following summary output, which variable is statistically signi
ID: 3437872 • Letter: A
Question
According to the following summary output, which variable is statistically significant?
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.659438147
R Square
0.43485867
Adjusted R Square
0.32889467
Standard Error
9.933729131
Observations
20
ANOVA
df
SS
MS
F
Significance F
Regression
3
1214.886
404.9621
4.10383406
0.024469
Residual
16
1578.864
98.67897
Total
19
2793.75
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
205.5786668
48.45654
4.242537
0.00062079
102.8554
308.3019
102.8554
308.3019
Tire size
-0.199930251
0.208548
-0.95868
0.35198575
-0.64203
0.242173
-0.64203
0.242173
Engine size
2.197090474
0.684005
3.212096
0.005437685
0.747064
3.647117
0.747064
3.647117
FD/RD
3.094858509
4.497636
0.688108
0.501240212
-6.4397
12.62942
-6.4397
12.62942
Tire size
Engine size
FD/RD
None of the above
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.659438147
R Square
0.43485867
Adjusted R Square
0.32889467
Standard Error
9.933729131
Observations
20
ANOVA
df
SS
MS
F
Significance F
Regression
3
1214.886
404.9621
4.10383406
0.024469
Residual
16
1578.864
98.67897
Total
19
2793.75
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
205.5786668
48.45654
4.242537
0.00062079
102.8554
308.3019
102.8554
308.3019
Tire size
-0.199930251
0.208548
-0.95868
0.35198575
-0.64203
0.242173
-0.64203
0.242173
Engine size
2.197090474
0.684005
3.212096
0.005437685
0.747064
3.647117
0.747064
3.647117
FD/RD
3.094858509
4.497636
0.688108
0.501240212
-6.4397
12.62942
-6.4397
12.62942
a)Tire size
b)Engine size
c)FD/RD
d)None of the above
Explanation / Answer
Sol) Answer is B
Tire Size:
p value= 0.352 alpha=0.05
p value > alpha, Then this factor is not significant
Engine Size:
p value= 0.0054 alpha=0.05
p value < alpha, Then this factor is significant
FD/RD:
p value= 0.5012 ,alpha=0.05
p value > alpha, Then this factor is not significant
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