Results: kars.sas

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Frequency Distributions

The FREQ Procedure

Table country

One-Way Frequencies

Country of Origin
country	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Europ	14	14.00	14	14.00
Japan	13	13.00	27	27.00
US	73	73.00	100	100.00

Table c1

One-Way Frequencies

c1	Frequency	Percent	Cumulative Frequency	Cumulative Percent
0	27	27.00	27	27.00
1	73	73.00	100	100.00

Table c2

One-Way Frequencies

c2	Frequency	Percent	Cumulative Frequency	Cumulative Percent
0	86	86.00	86	86.00
1	14	14.00	100	100.00

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Means and standard deviations by country

The MEANS Procedure

Summary statistics

Country of Origin	N Obs	Variable	Label	N	Mean	Std Dev	Minimum	Maximum
Europ	14	lper100k mpg weight length	Litres per 100 Kilometers Miles per gallon Weight in kg Length in cm	14 14 14 14	10.1785714 26.2549337 1080.07 4.2942857	3.6190051 10.0041797 240.8457739 0.4406239	5.8000000 13.8353297 823.0000000 3.6100000	17.0000000 40.5518286 1539.00 4.9000000
Japan	13	lper100k mpg weight length	Litres per 100 Kilometers Miles per gallon Weight in kg Length in cm	13 13 13 13	10.6846154 23.1417159 1060.00 4.3407692	2.3632062 5.6322751 104.6804662 0.1804375	6.8000000 17.8182277 891.0000000 3.9100000	13.2000000 34.5883244 1237.00 4.6700000
US	73	lper100k mpg weight length	Litres per 100 Kilometers Miles per gallon Weight in kg Length in cm	73 73 73 73	12.9643836 19.2129499 1540.00 5.0461644	3.1325518 4.6567253 327.7703719 0.4789996	7.9000000 11.8788185 949.0000000 4.1400000	19.8000000 29.7722286 2178.00 5.9200000

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Correlation matrix

The CORR Procedure

Variables Information

4 Variables:	lper100k mpg weight length

Simple Statistics

Simple Statistics
Variable	N	Mean	Std Dev	Sum	Minimum	Maximum	Label
lper100k	100	12.27800	3.29203	1228	5.80000	19.80000	Litres per 100 Kilometers
mpg	100	20.70957	6.28772	2071	11.87882	40.55183	Miles per gallon
weight	100	1413	361.95176	141321	823.00000	2178	Weight in kg
length	100	4.84920	0.54991	484.92000	3.61000	5.92000	Length in cm

Pearson Correlations

Pearson Correlation Coefficients, N = 100 Prob > \|r\| under H0: Rho=0
	lper100k	mpg	weight	length
lper100k Litres per 100 Kilometers	1.00000	-0.93066 <.0001	0.83423 <.0001	0.82141 <.0001
mpg Miles per gallon	-0.93066 <.0001	1.00000	-0.76968 <.0001	-0.78924 <.0001
weight Weight in kg	0.83423 <.0001	-0.76968 <.0001	1.00000	0.94604 <.0001
length Length in cm	0.82141 <.0001	-0.78924 <.0001	0.94604 <.0001	1.00000

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Regression model with non-parallel planes

The REG Procedure

Model: MODEL1

Dependent Variable: lper100k Litres per 100 Kilometers

The REG Procedure

MODEL1

Fit

lper100k

Number of Observations

Number of Observations Read	100
Number of Observations Used	100

Analysis of Variance

Analysis of Variance
Source	DF	Sum of Squares	Mean Square	F Value	Pr > F
Model	8	817.63884	102.20486	36.43	<.0001
Error	91	255.27276	2.80520
Corrected Total	99	1072.91160

Fit Statistics

Root MSE	1.67487	R-Square	0.7621
Dependent Mean	12.27800	Adj R-Sq	0.7412
Coeff Var	13.64124

Parameter Estimates

Parameter Estimates
Variable	Label	DF	Parameter Estimate	Standard Error	t Value	Pr > \|t\|
Intercept	Intercept	1	-10.07335	16.83584	-0.60	0.5511
weight	Weight in kg	1	0.01692	0.01024	1.65	0.1019
length	Length in cm	1	0.64989	5.94151	0.11	0.9131
c1		1	5.01091	17.14931	0.29	0.7708
c2		1	-1.83239	18.58103	-0.10	0.9217
wc1		1	-0.01123	0.01036	-1.08	0.2810
wc2		1	-0.01035	0.01171	-0.88	0.3793
Lc1		1	1.18552	6.03345	0.20	0.8447
Lc2		1	2.83971	6.70494	0.42	0.6729

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Regression model with non-parallel planes

The REG Procedure

Model: MODEL1

Test EqualSlopes

Results

Test EqualSlopes Results for Dependent Variable lper100k
Source	DF	Mean Square	F Value	Pr > F
Numerator	4	5.08328	1.81	0.1333
Denominator	91	2.80520

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Parallel planes

The REG Procedure

Model: MODEL1

Dependent Variable: lper100k Litres per 100 Kilometers

The REG Procedure

MODEL1

Fit

lper100k

Number of Observations

Number of Observations Read	100
Number of Observations Used	100

Analysis of Variance

Analysis of Variance
Source	DF	Sum of Squares	Mean Square	F Value	Pr > F
Model	4	797.30574	199.32644	68.71	<.0001
Error	95	275.60586	2.90111
Corrected Total	99	1072.91160

Fit Statistics

Root MSE	1.70327	R-Square	0.7431
Dependent Mean	12.27800	Adj R-Sq	0.7323
Coeff Var	13.87250

Parameter Estimates

Parameter Estimates
Variable	Label	DF	Parameter Estimate	Standard Error	t Value	Pr > \|t\|
Intercept	Intercept	1	-5.28270	2.92605	-1.81	0.0742
weight	Weight in kg	1	0.00546	0.00147	3.71	0.0004
length	Length in cm	1	2.34597	0.98033	2.39	0.0187
c1		1	-1.99424	0.58499	-3.41	0.0010
c2		1	-0.50652	0.66016	-0.77	0.4448

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Parallel planes

The REG Procedure

Model: MODEL1

Test USvsEURO

Results

Test USvsEURO Results for Dependent Variable lper100k
Source	DF	Mean Square	F Value	Pr > F
Numerator	1	19.37833	6.68	0.0113
Denominator	95	2.90111

Metric Cars Data Example

Jerry Brunner: Student Number 999999999

Parallel planes

The REG Procedure

Model: MODEL1

Test country

Results

Test country Results for Dependent Variable lper100k
Source	DF	Mean Square	F Value	Pr > F
Numerator	2	20.01754	6.90	0.0016
Denominator	95	2.90111