[SAS Program]
data slrp16;
input (id x y)(2.0 1.0 2.0);
title 'CLASSP16.SIMPLE.SAS -- analysis of Pedhazur data p. 16';
cards;
11 3
21 5
31 6
41 9
52 4
62 6
72 7
8210
93 4
103 6
113 8
12310
134 5
144 7
154 9
16412
175 7
18510
19512
205 6
;
proc reg simple corr;
model y = x / stb p r;
output out=resid student=sresid;
plot y*x='*';
plot student. * obs.='*';
plot student. * predicted.='*';
plot student. * x='*';
proc chart data=resid;
vbar sresid;
proc univariate plot;
var sresid;
run;
[SAS Output]
CLASSP16.SIMPLE.SAS -- analysis of Pedhazur data p. 16 1
12:41 Tuesday, January 12, 1999
Descriptive Statistics
Variables Sum Mean Uncorrected SS
INTERCEP 20 1 20
X 60 3 220
Y 146 7.3 1196
Variables Variance Std Deviation
INTERCEP 0 0
X 2.1052631579 1.4509525002
Y 6.8526315789 2.6177531547
Correlation
CORR X Y
X 1.0000 0.4157
Y 0.4157 1.0000
Model: MODEL1
Dependent Variable: Y
Analysis of Variance
Sum of Mean
Source DF Squares Square F Value Prob>F
Model 1 22.50000 22.50000 3.760 0.0683
Error 18 107.70000 5.98333
C Total 19 130.20000
Root MSE 2.44609 R-square 0.1728
Dep Mean 7.30000 Adj R-sq 0.1269
C.V. 33.50802
Parameter Estimates
Parameter Standard T for H0:
Variable DF Estimate Error Parameter=0 Prob > |T|
INTERCEP 1 5.050000 1.28273796 3.937 0.0010
X 1 0.750000 0.38676005 1.939 0.0683
Standardized
Variable DF Estimate
INTERCEP 1 0.00000000
X 1 0.41570550
Dep Var Predict Std Err Std Err Student
Obs Y Value Predict Residual Residual Residual
1 3.0000 5.8000 0.947 -2.8000 2.255 -1.242
2 5.0000 5.8000 0.947 -0.8000 2.255 -0.355
3 6.0000 5.8000 0.947 0.2000 2.255 0.089
4 9.0000 5.8000 0.947 3.2000 2.255 1.419
5 4.0000 6.5500 0.670 -2.5500 2.353 -1.084
6 6.0000 6.5500 0.670 -0.5500 2.353 -0.234
7 7.0000 6.5500 0.670 0.4500 2.353 0.191
8 10.0000 6.5500 0.670 3.4500 2.353 1.466
9 4.0000 7.3000 0.547 -3.3000 2.384 -1.384
10 6.0000 7.3000 0.547 -1.3000 2.384 -0.545
11 8.0000 7.3000 0.547 0.7000 2.384 0.294
12 10.0000 7.3000 0.547 2.7000 2.384 1.132
13 5.0000 8.0500 0.670 -3.0500 2.353 -1.296
14 7.0000 8.0500 0.670 -1.0500 2.353 -0.446
15 9.0000 8.0500 0.670 0.9500 2.353 0.404
16 12.0000 8.0500 0.670 3.9500 2.353 1.679
17 7.0000 8.8000 0.947 -1.8000 2.255 -0.798
18 10.0000 8.8000 0.947 1.2000 2.255 0.532
19 12.0000 8.8000 0.947 3.2000 2.255 1.419
20 6.0000 8.8000 0.947 -2.8000 2.255 -1.242
Cook's
Obs -2-1-0 1 2 D
1 | **| | 0.136
2 | | | 0.011
3 | | | 0.001
4 | |** | 0.178
5 | **| | 0.048
6 | | | 0.002
7 | | | 0.001
8 | |** | 0.087
9 | **| | 0.050
10 | *| | 0.008
11 | | | 0.002
12 | |** | 0.034
13 | **| | 0.068
14 | | | 0.008
15 | | | 0.007
16 | |*** | 0.114
17 | *| | 0.056
18 | |* | 0.025
19 | |** | 0.178
20 | **| | 0.136
Sum of Residuals 0
Sum of Squared Residuals 107.7000
Predicted Resid SS (Press) 133.5782
------+-------+-------+-------+-------+-------+-------+-------+-------+------
Y | |
| |
12 + * * +
| |
| |
| |
| |
11 + +
| |
| |
| |
| |
10 + * * * +
| |
| |
| |
| |
9 + * * +
| |
| |
| |
| |
8 + * +
| |
| |
| |
| |
7 + * * * +
| |
| |
| |
| |
6 + * * * * +
| |
| |
| |
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5 + * * +
| |
| |
| |
| |
4 + * * +
| |
| |
| |
| |
3 + * +
| |
| |
------+-------+-------+-------+-------+-------+-------+-------+-------+------
1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
X
----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
2.0 + +
| |
| |
| |
| * |
| |
| |
1.5 + * +
| * * |
| |
| |
| |
| * |
| |
1.0 + +
S | |
t | |
u STUDENT | |
d | |
e | |
n | |
t 0.5 + * +
i | * |
z | |
e | * |
d | * |
| |
R | * |
e 0.0 + +
s | |
i | |
d | * |
u | |
a | * |
l | * |
-0.5 + +
| * |
| |
| |
| * |
| |
| |
-1.0 + +
| * |
| |
| * * |
| * |
| * |
| |
-1.5 + +
----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
0 2 4 6 8 10 12 14 16 18 20
Observation Number OBS NUM
-+----+----+----+----+----+----+----+----+----+----+----+----+----+--
2.0 + +
| |
| |
| |
| * |
| |
| |
1.5 + * +
| * * |
| |
| |
| |
| * |
| |
1.0 + +
S | |
t | |
u STUDENT | |
d | |
e | |
n | |
t 0.5 + * +
i | * |
z | |
e | * |
d | * |
| |
R | * |
e 0.0 + +
s | |
i | |
d | * |
u | |
a | * |
l | * |
-0.5 + +
| * |
| |
| |
| * |
| |
| |
-1.0 + +
| * |
| |
| * * |
| * |
| * |
| |
-1.5 + +
-+----+----+----+----+----+----+----+----+----+----+----+----+----+--
5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 7.75 8.00 8.25 8.50 8.75 9.00
Predicted Value of Y PRED
------+------+------+------+------+------+------+------+------+------
2.0 + +
| |
| |
| |
| * |
| |
| |
1.5 + * +
| * * |
| |
| |
| |
| * |
| |
1.0 + +
S | |
t | |
u STUDENT | |
d | |
e | |
n | |
t 0.5 + * +
i | * |
z | |
e | * |
d | * |
| |
R | * |
e 0.0 + +
s | |
i | |
d | * |
u | |
a | * |
l | * |
-0.5 + +
| * |
| |
| |
| * |
| |
| |
-1.0 + +
| * |
| |
| * * |
| * |
| * |
| |
-1.5 + +
------+------+------+------+------+------+------+------+------+------
1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
X
Frequency
5 + *****
| *****
| *****
| *****
| *****
| *****
4 + ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
3 + ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
| ***** ***** ***** *****
2 + ***** ***** ***** ***** *****
| ***** ***** ***** ***** *****
| ***** ***** ***** ***** *****
| ***** ***** ***** ***** *****
| ***** ***** ***** ***** *****
| ***** ***** ***** ***** *****
1 + ***** ***** ***** ***** ***** *****
| ***** ***** ***** ***** ***** *****
| ***** ***** ***** ***** ***** *****
| ***** ***** ***** ***** ***** *****
| ***** ***** ***** ***** ***** *****
| ***** ***** ***** ***** ***** *****
-------------------------------------------------------------------------
-1.5 -0.9 -0.3 0.3 0.9 1.5
Studentized Residual
Univariate Procedure
Variable=SRESID Studentized Residual
Moments
N 20 Sum Wgts 20
Mean -0.00003 Sum -0.00059
Std Dev 1.026609 Variance 1.053926
Skewness 0.246222 Kurtosis -1.22248
USS 20.02459 CSS 20.02459
CV -3501956 Std Mean 0.229557
T:Mean=0 -0.00013 Pr>|T| 0.9999
Num ^= 0 20 Num > 0 10
M(Sign) 0 Pr>=|M| 1.0000
Sgn Rank 2 Pr>=|S| 0.9563
Quantiles(Def=5)
100% Max 1.679015 99% 1.679015
75% Q3 0.832294 95% 1.572748
50% Med -0.07255 90% 1.442719
25% Q1 -0.94104 10% -1.26902
0% Min -1.38414 5% -1.3403
1% -1.38414
Range 3.063157
Q3-Q1 1.773336
Mode -1.38414
Extremes
Lowest Obs Highest Obs
-1.38414( 9) 1.13248( 12)
-1.29645( 13) 1.418956( 4)
-1.24159( 1) 1.418956( 19)
-1.24159( 20) 1.466482( 8)
-1.08392( 5) 1.679015( 16)
Stem Leaf # Boxplot
1 57 2 |
1 144 3 |
0 5 1 +-----+
0 1234 4 | |
-0 442 3 *--+--*
-0 85 2 +-----+
-1 43221 5 |
----+----+----+----+
Univariate Procedure
Variable=SRESID Studentized Residual
Normal Probability Plot
1.75+ ++++*
| * *+*++*
| +*+++
0.25+ ****
| +***+
| +++*+*
-1.25+ * *++*+* *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2