9 CLS 10 PRINT "MULTIPLE LINEAR REGRESSION" 16 DEFDBL A-Z : DEFSNG I,J,K 17 DEFSNG L 20 PRINT 30 DIM X(10),S(10),T(10),A(10,10) 40 PRINT "NUMBER OF KNOWN POINTS"; 50 INPUT N 60 PRINT "NUMBER OF INDEPENDENT VARIABLES"; 70 INPUT V 80 X(1)=1 90 FOR I=1 TO N 100 PRINT "POINT";I 110 FOR J=1 TO V 120 PRINT " VARIABLE";J; 130 INPUT X(J+1) 140 NEXT J 150 PRINT " DEPENDENT VARIABLE"; 160 INPUT X(V+2) 170 FOR K=1 TO V+1 180 FOR L=1 TO V+2 190 A(K,L)=A(K,L)+X(K)*X(L) 200 S(K)=A(K,V+2) 210 NEXT L 220 NEXT K 230 S(V+2)=S(V+2)+X(V+2)^2 240 NEXT I 250 FOR I=2 TO V+1 260 T(I)=A(1,I) 270 NEXT I 280 FOR I=1 TO V+1 290 FOR J=I TO V+1 300 IF A(J,I)<>0 THEN 340 310 NEXT J 320 PRINT "NO UNIQUE SOLUTION" 330 GOTO 810 340 FOR K=1 TO V+2 350 B=A(I,K) 360 A(I,K)=A(J,K) 370 A(J,K)=B 380 NEXT K 390 Z=1/A(I,I) 400 FOR K=1 TO V+2 410 A(I,K)=Z*A(I,K) 420 NEXT K 430 FOR J=1 TO V+1 440 IF J=I THEN 490 450 Z=-A(J,I) 460 FOR K=1 TO V+2 470 A(J,K)=A(J,K)+Z*A(I,K) 480 NEXT K 490 NEXT J 500 NEXT I 510 PRINT 520 PRINT "EQUATION COEFFICIENTS:" 525 PRINT " CONSTANT:";A(1,V+2) 530 FOR I=2 TO V+1 540 PRINT "VARIABLE(";I-1;"):";A(I,V+2) 550 NEXT I 560 P=0 570 FOR I=2 TO V+1 580 P=P+A(I,V+2)*(S(I)-T(I)*S(1)/N) 590 NEXT I 600 R=S(V+2)-S(1)^2/N 610 Z=R-P 620 L=N-V-1 630 I=-P/V 640 PRINT 650 I=P/R 660 PRINT "COEFFICIENT OF DETERMINATION (R[2) =";I 670 PRINT "COEFFICIENT OF MULTIPLE CORRELATION =";SQR(I) 680 PRINT "STANDARD ERROR OF ESTIMATE ";SQR(ABS(Z/L)) 690 PRINT 700 PRINT "INTERPOLATION: (ENTER 0 TO END PROGRAM)" 710 P=A(1,V+2) 720 FOR J=1 TO V 730 PRINT "VARIABLE";J; 740 INPUT X 750 IF X=0 THEN 810 760 P=P+A(J+1,V+2)*X 770 NEXT J 780 PRINT "DEPENDENT VARIABLE =";P 790 PRINT 800 GOTO 710 810 END