[SAS Program]
data recip;
input x y;
trdep=y/x;
trind=1/x;
cards;
0294 030
0247 032
0267 037
0358 044
0423 047
0311 049
0450 056
0534 062
0438 068
0697 078
0688 080
0630 084
0709 088
0627 097
0615 100
0999 109
1022 114
1015 117
0700 106
0850 128
0980 130
1025 160
1021 97
1200 180
1250 112
1500 210
1650 135
;
PROC REG SIMPLE CORR;
MODEL Y=X /ADJRSQ STB;
PLOT X*Y RESIDUAL.*X /HPLOTS=2 VPLOTS=2;
PROC REG SIMPLE CORR;
MODEL TRDEP=TRIND /ADJRSQ STB;
PLOT TRIND*TRDEP RESIDUAL.*TRIND /HPLOTS=2 VPLOTS=2;
[SAS Output]
The SAS System 12:19 Tuesday, December 28, 1999 1
Descriptive Statistics
Variables Sum Mean Uncorrected SS
INTERCEP 27 1 27
X 20500 759.25925926 19245812
Y 2550 94.444444444 293500
Variables Variance Std Deviation
INTERCEP 0 0
X 141576.81481 376.26694622
Y 2025.6410256 45.007121944
Correlation
CORR X Y
X 1.0000 0.8808
Y 0.8808 1.0000
The SAS System 12:19 Tuesday, December 28, 1999 2
Model: MODEL1
Dependent Variable: Y
Analysis of Variance
Sum of Mean
Source DF Squares Square F Value Prob>F
Model 1 40862.60266 40862.60266 86.544 0.0001
Error 25 11804.06401 472.16256
C Total 26 52666.66667
Root MSE 21.72930 R-square 0.7759
Dep Mean 94.44444 Adj R-sq 0.7669
C.V. 23.00750
Parameter Estimates
Parameter Standard T for H0:
Variable DF Estimate Error Parameter=0 Prob > |T|
INTERCEP 1 14.448059 9.56201165 1.511 0.1433
X 1 0.105361 0.01132565 9.303 0.0001
Standardized
Variable DF Estimate
INTERCEP 1 0.00000000
X 1 0.88083608
The SAS System 12:19 Tuesday, December 28, 1999 3
---+----+----+----+----+----+--- -+----+----+----+----+----+----+-
| | | |
2000 + + 50 + +
| | | |
| | | 1 1 1 |
| 1 | | |
| | 25 + 1 +
1500 + 1 + | 111 |
X | | R | 1 |
| 1 | E | 1 1 |
| 1 | S 0 + 1 1 +
| | I |2 1 1 1 1 2 |
1000 + 1211 1 + D | 1 1 1 1 |
| 1 | U | |
| | A -25 + 1 +
| 21 1 | L | 1 |
| 1 2 | | |
500 + 2 + | |
| 11 1 | -50 + +
| 111 | | 1 |
| 1 | | |
| | | |
0 + + -75 + +
| | | |
---+----+----+----+----+----+--- -+----+----+----+----+----+----+-
0 50 100 150 200 250 250 500 750 1000 1250 1500 1750
Y X
The SAS System 12:19 Tuesday, December 28, 1999 4
Descriptive Statistics
Variables Sum Mean Uncorrected SS
INTERCEP 27 1 27
TRIND 0.0465041534 0.0017223761 0.0001046967
TRDEP 3.4436072844 0.1275410105 0.4523992974
Variables Variance Std Deviation
INTERCEP 0 0
TRIND 9.4611956E-7 0.0009726868
TRDEP 0.0005076209 0.0225304447
Correlation
CORR TRIND TRDEP
TRIND 1.0000 0.1642
TRDEP 0.1642 1.0000
The SAS System 12:19 Tuesday, December 28, 1999 5
Model: MODEL1
Dependent Variable: TRDEP
Analysis of Variance
Sum of Mean
Source DF Squares Square F Value Prob>F
Model 1 0.00036 0.00036 0.693 0.4131
Error 25 0.01284 0.00051
C Total 26 0.01320
Root MSE 0.02266 R-square 0.0270
Dep Mean 0.12754 Adj R-sq -0.0120
C.V. 17.77059
Parameter Estimates
Parameter Standard T for H0:
Variable DF Estimate Error Parameter=0 Prob > |T|
INTERCEP 1 0.120990 0.00899864 13.445 0.0001
TRIND 1 3.803296 4.56974538 0.832 0.4131
Standardized
Variable DF Estimate
INTERCEP 1 0.00000000
TRIND 1 0.16419629
The SAS System 12:19 Tuesday, December 28, 1999 6
-+------+------+------+------+-- -+------+------+------+------+-
| | | |
0.18 + + 0.04 + +
| | | 1 |
| | | 1 |
| 1 | | 1 |
0.16 + 1 + | 1 1 1 1 1 |
| 1 1 1 | 0.02 + +
T | 1 1 1 | R | 1 |
R | | E | |
D 0.14 + 1 1 + S | 1 1 |
E | 1 1 | I | 1 |
P | 1 | D 0.00 + +
| 1 1 1 | U | 1 1 |
0.12 + + A | 1 1 1|
| 1 1 1 | L | 1 1 1 |
| 2 1 1 | | 1 1 |
| | -0.02 + 1 +
0.10 + 1 + | |
| 1 | | 1 |
| 1 | | 1 |
| | | 1 |
0.08 + 1 + -0.04 + 1 +
| | | |
-+------+------+------+------+-- -+------+------+------+------+-
0.000 0.001 0.002 0.003 0.004 0.000 0.001 0.002 0.003 0.004
TRIND TRIND