data sqrt;
input y x;
sqrty=y**.5;
cards;
11 0.0950
07 0.1920
07 0.0750
19 0.2078
09 0.1382
04 0.0540
03 0.1292
01 0.0530
03 0.0629
;

proc reg simple corr;
model y=x / adjrsq stb;
plot (x)*(y residual.) /hplots=2 vplots=2;
run;

proc reg simple corr;
model sqrty=x / adjrsq stb;
plot (x)*(sqrty residual.) /hplots=2 vplots=2;
run;

Descriptive Statistics

Variables                 Sum                Mean      Uncorrected SS
INTERCEP                    9                   1                   9
X                      1.0071              0.1119          0.14016813
Y                          64        7.1111111111                 696


Variables            Variance       Std Deviation
INTERCEP                    0                   0
X                 0.003434205        0.0586020904
Y                30.111111111        5.4873592111


Correlation
CORR                 X                 Y
X               1.0000            0.6957
Y               0.6957            1.0000


Model: MODEL1  
Dependent Variable: Y                                                  

Analysis of Variance

                         Sum of         Mean
Source          DF      Squares       Square      F Value       Prob>F
Model            1    116.58543    116.58543        6.565       0.0374
Error            7    124.30346     17.75764
C Total          8    240.88889

    Root MSE       4.21398     R-square       0.4840
    Dep Mean       7.11111     Adj R-sq       0.4103
    C.V.          59.25911

Parameter Estimates

                 Parameter      Standard    T for H0:               
Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
INTERCEP   1     -0.178328    3.17276476        -0.056        0.9567
X          1     65.142442   25.42345019         2.562        0.0374

              Standardized
Variable  DF      Estimate
INTERCEP   1    0.00000000
X          1    0.69568678


       -+------+------+------+------+--        -+------+------+------+------+--
       |                              |        |                              |
  0.25 +                              +   0.25 +                              +
       |                              |        |                              |
       |                              |        |                              |
       |                              |        |                              |
       |                           1  |        |                      1       |
  0.20 +                              +   0.20 +                              +
X      |          1                   | X      |       1                      |
       |                              |        |                              |
       |                              |        |                              |
       |                              |        |                              |
  0.15 +                              +   0.15 +                              +
       |             1                |        |              1               |
       |    1                         |        |       1                      |
       |                              |        |                              |
       |                              |        |                              |
  0.10 +               1              +   0.10 +                     1        +
       |                              |        |                              |
       |          1                   |        |                 1            |
       |                              |        |                              |
       |    1                         |        |             1                |
  0.05 + 1    1                       +   0.05 +           1   1              +
       |                              |        |                              |
       -+------+------+------+------+--        -+------+------+------+------+--
        0      5     10     15     20          -10    -5      0      5     10
 
                   Y                                       RESIDUAL
 
 


Descriptive Statistics

Variables                 Sum                Mean      Uncorrected SS
INTERCEP                    9                   1                   9
X                      1.0071              0.1119          0.14016813
SQRTY            22.431127971        2.4923475524                  64


Variables            Variance       Std Deviation
INTERCEP                    0                   0
X                 0.003434205        0.0586020904
SQRTY            1.0117291381        1.0058474726


Correlation
CORR                  X             SQRTY
X                1.0000            0.6904
SQRTY            0.6904            1.0000
The SAS System                              19:35 Tuesday, December 21, 1999   5

Model: MODEL1  
Dependent Variable: SQRTY                                              

Analysis of Variance

                         Sum of         Mean
Source          DF      Squares       Square      F Value       Prob>F
Model            1      3.85780      3.85780        6.375       0.0395
Error            7      4.23603      0.60515
C Total          8      8.09383

    Root MSE       0.77791     R-square       0.4766
    Dep Mean       2.49235     Adj R-sq       0.4019
    C.V.          31.21201

Parameter Estimates

                 Parameter      Standard    T for H0:               
Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
INTERCEP   1      1.166352    0.58570062         1.991        0.0867
X          1     11.849828    4.69323498         2.525        0.0395

              Standardized
Variable  DF      Estimate
INTERCEP   1    0.00000000
X          1    0.69038764


       -+------+------+------+------+--        -+------+------+------+------+--
       |                              |        |                              |
  0.25 +                              +   0.25 +                              +
       |                              |        |                              |
       |                              |        |                              |
       |                              |        |                              |
       |                        1     |        |                        1     |
  0.20 +                              +   0.20 +                              +
X      |            1                 | X      |   1                          |
       |                              |        |                              |
       |                              |        |                              |
       |                              |        |                              |
  0.15 +                              +   0.15 +                              +
       |              1               |        |                 1            |
       |     1                        |        |1                             |
       |                              |        |                              |
       |                              |        |                              |
  0.10 +                1             +   0.10 +                            1 +
       |                              |        |                              |
       |            1                 |        |                      1       |
       |                              |        |                              |
       |     1                        |        |           1                  |
  0.05 +1      1                      +   0.05 +   1             1            +
       |                              |        |                              |
       -+------+------+------+------+--        -+------+------+------+------+--
        1      2      3      4      5         -1.0   -0.5    0.0    0.5    1.0
 
                   SQRTY                                   RESIDUAL