574 Chapter 15 Multiple Regression
STEP NO. 1
VARIABLE ENTERED 3 X2
MULTIPLE R 0.6215
MULTIPLE R-SQUARE 0.3862
ADJUSTED R-SQUARE 0.3095
STD. ERROR OF EST. 0.5797
ANALYSIS OF VARIANCE
SUM OF SQUARES DF MEAN SQUARE F RATIO
REGRESSION 1.6917006 1 1.691701 5.03
RESIDUAL 2.6882995 8 0.3360374
VARIABLES IN EQUATION VARIABLES NOT IN EQUATION
STD..
ERROR STD..
OF REG F TO. PARTIAL F TO
VARIABLE COEFFICIENT COEFF COEFF TOLERANCE REMOVE LEVEL. VARIABLE CORR. TOLERANCE ENTER LEVEL
(Y-INTERCEPT 3.529 )
X2 3 0.069 0.031 0.621 1.00000 5.03 1. X1 2 –0.19730 0.25831 0.28 1
. X3 4 –0.25039 0.43280 0.47 1
. X4 5 0.00688 0.69838 0.00 1
. X5 6 –0.59063 0.58000 3.75 1
STEP NO. 2
VARIABLE ENTERED 6 X5
MULTIPLE R 0.7748
MULTIPLE R-SQUARE 0.6003
ADJUSTED R-SQUARE 0.4862
STD. ERROR OF EST. 0.5001
ANALYSIS OF VARIANCE
SUM OF SQUARES DF MEAN SQUARE F RATIO
REGRESSION 2.6294919 2 1.314746 5.26
RESIDUAL 1.7505082 7 0.2500726
VARIABLES IN EQUATION VARIABLES NOT IN EQUATION
STD..
ERROR STD..
OF REG F TO. PARTIAL F TO
VARIABLE COEFFICIENT COEFF COEFF TOLERANCE REMOVE LEVEL. VARIABLE CORR. TOLERANCE ENTER LEVEL
(Y-INTERCEPT 2.949 )
X2 3 0.113 0.035 1.015 0.58000 10.47 1. X1 2 –0.09613 0.24739 0.06 1
X5 6 –0.223 0.115 –0.608 0.58000 3.75 1. X3 4 –0.05399 0.37826 0.02 1
X4 5 0.41559 0.53416 1.25 1
STEP NO. 3
VARIABLE ENTERED 5 X4
MULTIPLE R 0.8181
MULTIPLE R-SQUARE 0.6694
ADJUSTED R-SQUARE 0.5041
STD. ERROR OF EST. 0.4913
Exhibit 15.7 Stepwise regression of data on low birth weight infants
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