Data from Consumer Reports New Care Buying Guide 2003-2004 of 43 vechicles ( Par
ID: 3160173 • Letter: D
Question
Data from Consumer Reports New Care Buying Guide 2003-2004 of 43 vechicles ( Partial data shown below) was used to develop a multiple linear regression model to study fule economy. City =EPA miles per in gallon city driving, Lenght = vehile lengh (inches), Width = vehicle width (inches, Weight = weight (pounds), Japan = 1 if car maker is japanses, 0 otherwise. The regression output?
Response Variable?
Qualitative Variable?
Which of the variables have significant slopes (use alpha of 0.05)?
Which variables is not significnat (use alpha 0.05)?
ANOVA F- test?
Is the molde significant using significance level of 0.05?
Obs Vehicle City Length Width Weight Japan 1 Acura CL 20 192 69 3450 1 2 Accura TSX 23 183 59 3320 1 3 BMW 3 serier 19 176 69 3390 0 4 Buick Century 20 195 73 3350 0 5 Buick Rendezvous 18 187 74 4230 0 6 Cadillac Seville 18 201 75 4050 0Explanation / Answer
Data from Consumer Reports New Care Buying Guide 2003-2004 of 43 vechicles ( Partial data shown below) was used to develop a multiple linear regression model to study fule economy. City =EPA miles per in gallon city driving, Lenght = vehile lengh (inches), Width = vehicle width (inches, Weight = weight (pounds), Japan = 1 if car maker is japanses, 0 otherwise. The regression output?
Regression Analysis
R²
0.952
Adjusted R²
0.762
n
6
R
0.976
k
4
Std. Error
0.908
Dep. Var.
City
ANOVA table
Source
SS
df
MS
F
p-value
Regression
16.5096
4
4.1274
5.01
.3218
Residual
0.8237
1
0.8237
Total
17.3333
5
Regression output
confidence interval
variables
coefficients
std. error
t (df=1)
p-value
95% lower
95% upper
Intercept
33.0492
9.0310
3.660
.1698
-81.7007
147.7992
Length
0.0757
0.0661
1.145
.4569
-0.7642
0.9156
Width
-0.3333
0.1658
-2.010
.2938
-2.4398
1.7732
Weight
-0.0012
0.0013
-0.894
.5356
-0.0179
0.0155
Japan
-0.4313
1.4828
-0.291
.8198
-19.2721
18.4094
Response Variable: city
Qualitative Variable: Length, Width, Weight, Japan
Which of the variables have significant slopes (use alpha of 0.05)?
No variables significant
Which variables is not significnat (use alpha 0.05)?
All the four Length, Width, Weight, Japan are not significant.
ANOVA F- test?
F=5.01, P=0.3218 > 0.05 level. Test is not significant.
Is the model significant using significance level of 0.05?
The model is not significant at significance level of 0.05.
Regression Analysis
R²
0.952
Adjusted R²
0.762
n
6
R
0.976
k
4
Std. Error
0.908
Dep. Var.
City
ANOVA table
Source
SS
df
MS
F
p-value
Regression
16.5096
4
4.1274
5.01
.3218
Residual
0.8237
1
0.8237
Total
17.3333
5
Regression output
confidence interval
variables
coefficients
std. error
t (df=1)
p-value
95% lower
95% upper
Intercept
33.0492
9.0310
3.660
.1698
-81.7007
147.7992
Length
0.0757
0.0661
1.145
.4569
-0.7642
0.9156
Width
-0.3333
0.1658
-2.010
.2938
-2.4398
1.7732
Weight
-0.0012
0.0013
-0.894
.5356
-0.0179
0.0155
Japan
-0.4313
1.4828
-0.291
.8198
-19.2721
18.4094
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