Consider the following output from a regression analysis Multiple R 0.98223752 R
ID: 3049162 • Letter: C
Question
Consider the following output from a regression analysis
Multiple R
0.98223752
R Square
0.96479055
Adjusted R Square
0.95518798
Standard Error
0.23310465
Observations
15
df
SS
MS
F
Significance F
Regression
3
16.37828444
5.459428
100.4721
2.82244E-08
Residual
11
0.597715562
0.054338
Total
14
16.976
Coefficients
Standard Error
t Stat
P-value
Intercept
3.98076893
1.573044228
2.530615
0.027943
X1
0.07321648
0.020889718
3.504905
0.004928
X2
-0.0323216
0.020895785
-1.5468
0.150182
X3
-0.0038861
0.003833348
-1.01376
0.332478
A general observation about this model is that:
the sample size is 15.
overall, the model is not significant.
all variables are indicator variables.
too many variables are included.
Multiple R
0.98223752
R Square
0.96479055
Adjusted R Square
0.95518798
Standard Error
0.23310465
Observations
15
df
SS
MS
F
Significance F
Regression
3
16.37828444
5.459428
100.4721
2.82244E-08
Residual
11
0.597715562
0.054338
Total
14
16.976
Coefficients
Standard Error
t Stat
P-value
Intercept
3.98076893
1.573044228
2.530615
0.027943
X1
0.07321648
0.020889718
3.504905
0.004928
X2
-0.0323216
0.020895785
-1.5468
0.150182
X3
-0.0038861
0.003833348
-1.01376
0.332478
Explanation / Answer
sample size is 15 as
df total = n-1= 14
n = 15
A) is correct
the model is significant as significance F =
2.82244E-08 < 0.05
option A) is correct
Please rate
2.82244E-08 < 0.05