[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.