[SPSS Program]

Title 'Agresti9.4.SIMPLE.SPS -- analysis of Agresti data Table 9.4'.
COMMENT      SIMPLE LINEAR REGRESSION.
DATA LIST FILE=INLINE  RECORDS=1
          /1 P 1-5 S 8-12 Be 16 Ba 20 New 24.
BEGIN DATA
 48.5   1.10   3   1   0
 55.0   1.01   3   2   0
 68.0   1.45   3   2   0
137.0   2.40   3   3   0
309.4   3.30   4   3   1
 17.5    .40   1   1   0
 19.6   1.28   3   1   0
 24.5    .74   3   1   0
 34.8    .78   2   1   0
 32.0    .97   3   1   0
 28.0    .84   3   1   0
 49.9   1.08   2   2   0
 59.9    .99   2   1   0
 61.5   1.01   3   2   0
 60.0   1.34   3   2   0
 65.9   1.22   3   1   0
 67.9   1.28   3   2   0
 68.9   1.29   3   2   0
 69.9   1.52   3   2   0
 70.5   1.25   3   2   0
 72.9   1.28   3   2   0
 72.5   1.28   3   1   0
 72.0   1.36   3   2   0
 71.0   1.20   3   2   0
 76.0   1.46   3   2   0
 72.9   1.56   4   2   0
 73.0   1.22   3   2   0
 70.0   1.40   2   2   0
 76.0   1.15   2   2   0
 69.0   1.74   3   2   0
 75.5   1.62   3   2   0
 76.0   1.66   3   2   0
 81.8   1.33   3   2   0
 84.5   1.34   3   2   0
 83.5   1.40   3   2   0
 86.0   1.15   2   2   1
 86.9   1.58   3   2   1
 86.9   1.58   3   2   1
 86.9   1.58   3   2   1
 87.9   1.71   3   2   0
 88.1   2.10   3   2   0
 85.9   1.27   3   2   0
 89.5   1.34   3   2   0
 87.4   1.25   3   2   0
 87.9   1.68   3   2   0
 88.0   1.55   3   2   0
 90.0   1.55   3   2   0
 96.0   1.36   3   2   1
 99.9   1.51   3   2   1
 95.5   1.54   3   2   1
 98.5   1.51   3   2   0
100.1   1.85   3   2   0
 99.9   1.62   4   2   1
101.9   1.40   3   2   1
101.9   1.92   4   2   0
102.3   1.42   3   2   1
110.8   1.56   3   2   1
105.0   1.43   3   2   1
 97.9   2.00   3   2   0
106.3   1.45   3   2   1
106.5   1.65   3   2   0
116.0   1.72   4   2   1
108.0   1.79   4   2   1
107.5   1.85   3   2   0
109.9   2.06   4   2   1
110.0   1.76   4   2   0
120.0   1.62   3   2   1
115.0   1.80   4   2   1
113.4   1.98   3   2   0
114.9   1.57   3   2   0
115.0   2.19   3   2   0
115.0   2.07   4   2   0
117.9   1.99   4   2   0
110.0   1.55   3   2   0
115.0   1.67   3   2   0
124.0   2.40   4   2   0
129.9   1.79   4   2   1
124.0   1.89   3   2   0
128.0   1.88   3   2   1
132.4   2.00   4   2   1
139.3   2.05   4   2   1
139.3   2.00   4   2   1
139.7   2.03   3   2   1
142.0   2.12   3   3   0
141.3   2.08   4   2   1
147.5   2.19   4   2   0
142.5   2.40   4   2   0
148.0   2.40   5   2   0
149.0   3.05   4   2   0
150.0   2.04   3   3   0
172.9   2.25   4   2   1
190.0   2.57   4   3   1
280.0   3.85   4   3   0
END DATA.
VARIABLE LABELS P 'selling price in thousands' S 'size in thousands'
   Be 'number bedrooms' Ba 'number bathrooms' New 'new-1 or old-0'.
SET WIDTH=80.
REGRESSION  WIDTH=80/
            DESCRIPTIVES=DEFAULTS/
            VARS=P,S/
            STATISTICS=R,ANOVA,COEFF,OUTS,CI,SES,F/
            DEPENDENT=P/
            ENTER/
            RESIDUALS=HISTOGRAM,NORMPROB,OUTLIERS/
            CASEWISE=DEFAULTS/
            SCATTERPLOT (P,S) (*RESID,*PRE) (*RESID,S).
PLOT PLOT=P WITH S.
                             

[SPSS Output]

           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *


Listwise Deletion of Missing Data

             Mean  Std Dev  Label

P          99.533   44.184  selling price in thousands
S           1.650     .525  size in thousands

N of Cases =    93

Correlation:

                  P          S

P             1.000       .899
S              .899      1.000



           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

Equation Number 1    Dependent Variable..   P   selling price in thousands

  Descriptive Statistics are printed on Page    4

Block Number  1.  Method:  Enter


Variable(s) Entered on Step Number
   1..    S         size in thousands


Multiple R           .89881
R Square             .80787
Adjusted R Square    .80575
Standard Error     19.47340

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           1        145097.46423     145097.46423
Residual            91         34508.40244        379.21321

F =     382.62766       Signif F =  .0000


---------------------- Variables in the Equation -----------------------

Variable              B        SE B     95% Confdnce Intrvl B       Beta

S             75.606840    3.865208    67.929078    83.284601    .898814
(Constant)   -25.193563    6.688450   -38.479347   -11.907779


----- Variables in the Equation ------

Variable      SE Beta         F  Sig F

S             .045950   382.628  .0000
(Constant)               14.188  .0003


End Block Number   1   All requested variables entered.



           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

Equation Number 1    Dependent Variable..   P   selling price in thousands


Casewise Plot of Standardized Residual

Outliers = 3.    *: Selected   M: Missing

          -6.     -3.  3.     6.
  Case #   O:.......:  :.......:O       P       *PRED      *RESID
       5   .         ..    *    .     309    224.3090     85.0910


       1 Outliers found.




           * * * * * * * * * * * * * * * * * * * * * * * * * * * * *


Residuals Statistics:

              Min      Max     Mean  Std Dev   N

*PRED      5.0492 265.8928  99.5333  39.7133  93
*RESID   -56.4073  85.0910    .0000  19.3673  93
*ZPRED    -2.3792   4.1890    .0000   1.0000  93
*ZRESID   -2.8966   4.3696    .0000    .9946  93

Total Cases =       93




Outliers - Standardized Residual

  Case #       *ZRESID

       5       4.36960
      89      -2.89663
       7      -2.66945
      41      -2.33553
      30      -1.91863
      76      -1.65677
      59      -1.44403
      91       1.43674
      71      -1.30359
      32      -1.24856



           * * * * * * * * * * * * * * * * * * * * * * * * * * * * *


Histogram - Standardized Residual

 N Exp N      (* = 1 Cases,    . : = Normal Curve)
 1   .07   Out *
 0   .14  3.00
 0   .36  2.67
 0   .83  2.33 .
 0  1.70  2.00  .
 0  3.11  1.67   .
 2  5.10  1.33 **  .
13  7.50  1.00 *******:*****
13  9.88   .67 *********:***
15 11.65   .33 ***********:***
10 12.31   .00 ********** .
14 11.65  -.33 ***********:**
 9  9.88  -.67 *********.
 8  7.50 -1.00 *******:
 3  5.10 -1.33 *** .
 1  3.11 -1.67 * .
 1  1.70 -2.00 *.
 1   .83 -2.33 :
 1   .36 -2.67 *
 1   .14 -3.00 *
 0   .07   Out



Normal Probability (P-P) Plot
Standardized Residual
  1.0  +---------+---------+---------+---------*
       |                                     . |
       |                                   . **|
       |                                 .**** |
       |                               .**     |
   .75 +                             ***       +
       |                         *****         |
 E     |                      ****             |
 x     |                    ***.               |
 p     |                   **.                 |
 e .5  +                 **.                   +
 c     |                *.                     |
 t     |              **                       |
 e     |           ****                        |
 d     |         **.                           |
   .25 +       **.                             +
       |     ***                               |
       |   **.                                 |
       |  *.                                   |
       | *                                     |
       **--------+---------+---------+---------+ Observed
               .25        .5       .75       1.0



Standardized Scatterplot
Across - S          Down - P
Out ++-----+-----+-----+-----+-----+----- :
  3 +                                         Symbols:
    |                                     |
    |                                     |      Max N
  2 +                             .       +
    |                         .           |   .      1.0
    |                                     |   :      2.0
  1 +                      **.  *      .  +   *      5.0
    |                    .:.    .         |
    |                 *::* ::.            |
  0 +               **.: ...              +
    |            ..*. *..   .             |
    |            .**::::.                 |
 -1 +          .*. .                      +
    |        .                            |
    |        ...   .                      |
 -2 +    .                                +
    |                                     |
    |                                     |
 -3 +                                     +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out


Standardized Scatterplot
Across - *PRED      Down - *RESID
Out ++-----+-----+-----+-----+-----+----- .
  3 +                                         Symbols:
    |                                     |
    |                                     |      Max N
  2 +                                     +
    |                                     |   .      1.0
    |            .            .           |   :      2.0
  1 +             . *.*. . .      .           *      4.0
    |    .     ... : . .. .:              .
    |           . :: ... ...*.
  0 +        .    ::. ....                +
    |        .  .. :..*  . .    .         |
    |         ..   ..  ... .    .         |
 -1 +                .:.  . :   .         +
    |                  .   . .            |
    |                           .         |
 -2 +                   .                 +
    |                       .             |
    |              .                      |
 -3 +                                  .  +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out



Standardized Scatterplot
Across - S          Down - *RESID
Out ++-----+-----+-----+-----+-----+----- .
  3 +                                         Symbols:
    |                                     |
    |                                     |      Max N
  2 +                                     +
    |                                     |   .      1.0
    |            .            .           |   :      2.0
  1 +             . *.*. . .      .           *      4.0
    |    .     ... : . .. .:              .
    |           . :: ... ...*.
  0 +        .    ::. ....                +
    |        .  .. :..*  . .    .         |
    |         ..   ..  ... .    .         |
 -1 +                .:.  . :   .         +
    |                  .   . .            |
    |                           .         |
 -2 +                   .                 +
    |                       .             |
    |              .                      |
 -3 +                                  .  +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out


Preceding task required .14 seconds CPU time;  .85 seconds elapsed.

-> PLOT PLOT=P WITH S.

PLOT requires 15024 bytes of workspace for execution.


* * * * * * * * * * * * * * * * *  P  L  O  T  * * * * * * * * * * * * * * * * *

Data   Information

         93 unweighted cases accepted.

Size of the plots

   Horizontal size is 65
     Vertical size is 40

Frequencies and symbols used (not applicable for control or overlay plots)

          1 - 1     11 - B     21 - L     31 - V
          2 - 2     12 - C     22 - M     32 - W
          3 - 3     13 - D     23 - N     33 - X
          4 - 4     14 - E     24 - O     34 - Y
          5 - 5     15 - F     25 - P     35 - Z
          6 - 6     16 - G     26 - Q     36 - *
          7 - 7     17 - H     27 - R
          8 - 8     18 - I     28 - S
          9 - 9     19 - J     29 - T
         10 - A     20 - K     30 - U



                                   Plot of P with S
         ++----+----+----+----+----+----+----+----+----+----+----+----+----++
      350+                                                                  +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                                1                 |
      300+                                                                  +
         |                                                                  |
s        |                                                     1            |
e        |                                                                  |
l        |                                                                  |
l     250+                                                                  +
i        |                                                                  |
n        |                                                                  |
g        |                                                                  |
         |                                                                  |
p     200+                                                                  +
r        |                                         1                        |
i        |                                                                  |
c        |                                     1                            |
e        |                                                                  |
      150+                                   1 1 1     1                    +
i        |                                   32  2                          |
n        |                                 111                              |
         |                               1211111 1                          |
t        |                             123 3 11                             |
h     100+                             331 111                              +
o        |                          112 232   1                             |
u        |                          1 21111                                 |
s        |                           442211                                 |
a        |                         3  1                                     |
n      50+                          2                                       +
d        |                                                                  |
s        |                       2 1                                        |
         |                   1  1     1                                     |
         |                                                                  |
        0+                                                                  +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                                                  |
      -50+                                                                  +
         ++----+----+----+----+----+----+----+----+----+----+----+----+----++
       -1.5       -.5        .5       1.5       2.5       3.5       4.5


                                  size in thousands

        93 cases plotted.


Preceding task required .03 seconds CPU time;  .08 seconds elapsed.