12) Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, X1, X2, X3. 9896 29.1 1 421 9680 42.3 2 653 10449 29.8 3 573 10811 26.0 4 CORRELATION COEFFICIENTS 546 10014 34.3 5 499 10293 22.7 6 %3D 60% 0.00 Y/ X2=0.280 Y/ X3 = 0.930 504 9413 24.2 7 %3D 611 9860 31.6 8 %3D 646 9782 25.6 9 789 12139 37.9 10 COEFFICIENTS OF DETERMINATION 773 12166 33.9 11 YI X1 = 0.259 Y/ X2 = 0.079 YI X3 = 0.864 Y/ X1, X3 = 0.880 YI X1, X2, X3 = 0.884 753 9976 37.4 12 %3D 852 10645 27.0 13 %3D 755 9738 31.5 14 %3D 815 9933 39.9 15 %3D 902 10132 25.3 16 986 11145 30.4 17 909 9775 32.7 18 945 9549 35.0 19 866 10077 33.8 20 1178 11550 29.4 21 1230 10600 37.1 22 1207 11280 42.9 23 968 12100 32.2 24 1118 12420 30.5 25 A) Î = 57.8+0.036X, +28.1X3 B) Ý = -21.1+0.36X, +2.62X, +27.6X3 %3D C) Ý = 201.7+0.40X, +22.3X3 D) Y = 308.6+ 29.9X3 %3D

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12) Use computer software to find the best multiple regression equation to explain the variation in
the dependent variable, Y, in terms of the independent variables, X1, X2, X3.
9896 29.1
1
421 9680
42.3 2
653 10449 29.8 3
573 10811 26.0 4
CORRELATION COEFFICIENTS
546 10014
34.3 5
499 10293
22.7 6
%3D
60% 0.00
Y/ X2=0.280
Y/ X3 = 0.930
504 9413
24.2 7
%3D
611 9860 31.6 8
%3D
646 9782 25.6 9
789 12139 37.9 10
COEFFICIENTS OF DETERMINATION
773 12166 33.9 11
YI X1 = 0.259
Y/ X2 = 0.079
YI X3 = 0.864
Y/ X1, X3 = 0.880
YI X1, X2, X3 = 0.884
753 9976 37.4 12
%3D
852 10645 27.0 13
%3D
755 9738 31.5 14
%3D
815 9933 39.9 15
%3D
902 10132 25.3 16
986 11145 30.4 17
909 9775 32.7 18
945 9549 35.0 19
866 10077 33.8 20
1178 11550 29.4 21
1230 10600 37.1 22
1207 11280 42.9 23
968 12100 32.2 24
1118 12420 30.5 25
A) Î = 57.8+0.036X, +28.1X3
B) Ý = -21.1+0.36X, +2.62X, +27.6X3
%3D
C) Ý = 201.7+0.40X, +22.3X3
D) Y = 308.6+ 29.9X3
%3D
Transcribed Image Text:12) Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, X1, X2, X3. 9896 29.1 1 421 9680 42.3 2 653 10449 29.8 3 573 10811 26.0 4 CORRELATION COEFFICIENTS 546 10014 34.3 5 499 10293 22.7 6 %3D 60% 0.00 Y/ X2=0.280 Y/ X3 = 0.930 504 9413 24.2 7 %3D 611 9860 31.6 8 %3D 646 9782 25.6 9 789 12139 37.9 10 COEFFICIENTS OF DETERMINATION 773 12166 33.9 11 YI X1 = 0.259 Y/ X2 = 0.079 YI X3 = 0.864 Y/ X1, X3 = 0.880 YI X1, X2, X3 = 0.884 753 9976 37.4 12 %3D 852 10645 27.0 13 %3D 755 9738 31.5 14 %3D 815 9933 39.9 15 %3D 902 10132 25.3 16 986 11145 30.4 17 909 9775 32.7 18 945 9549 35.0 19 866 10077 33.8 20 1178 11550 29.4 21 1230 10600 37.1 22 1207 11280 42.9 23 968 12100 32.2 24 1118 12420 30.5 25 A) Î = 57.8+0.036X, +28.1X3 B) Ý = -21.1+0.36X, +2.62X, +27.6X3 %3D C) Ý = 201.7+0.40X, +22.3X3 D) Y = 308.6+ 29.9X3 %3D
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