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Z � ?d� ALL OF THE BASIC PROGRAM BOOKS THAT WE HAVE AVAILABLE í 7n� CUR¨TLY SCHEDULED COPYRIGHT THE ‚ED WíD “LY, THEY 9x� SPEC„IÍY EXCLUDE PROTECTI“ OF THE MAGNETIC SURFACE. B‚� THIS MEANS THAT WE ARE, IN EFFECT, PLACING THE MACHINEå…ABLE AŒ� �M OF THE SOFTWARE IN THE PUBLIC DOMAIN WHILE RETAINING ALL ;–� RIGHTS ± THE HUMANå…ABLE �M OF THE PROGRAMS. YOU ARE 8 � Ø ± TAKE ANY PROGRAMS ” OF OUR BOOKS ì USE, MOD„Y, :ª� í RESELL THEM WITH” AUTHíIZATI“, ROYALTY, í LICENSE, =´� BUT YOU CAN÷ GIVE AWAY í SELL ANY PíTI“ OF THE PROGRAMS 1¾� IN HUMANå…ABLE �M. THE ‚ED SOURCE ¡INGS ARE +È� PROTECTED ± THE LAST œ OF …ABLE CODE. & ‚ "PERMUTATIONS AND COMBINATIONS"  ‚ ! ‚ "(ENTER 0 TO END PROGRAM)" %( † "TOTAL NUMBER OF OBJECTS? ", N ; � TEST � � OF PROGRAM < „ Nõ0 ² š F † "SIZE OF SUBGROUP? ", D 9Y � SIZE OF SUBGROUP CAN÷ BE LARGER THAN SIZE OF GROUP Z „ DðN ² š‚ d ‚ "SUBGROUP TOO LARGE" n ‚ x ˆ š( '� � œS 130 ± 200 COMPUTE PERMUTATI“S ‚ P õ 1 Œ C õ 1 – � I õ NåDã1 ± N 9Ÿ � D“'T ALLOW NUMBER SIZE ± OVERFLOW MACHINE CAPACITY   „ 9.9E62çIïP ² š¾ &ª ‚ "MORE THAN 9.9E62 PERMUTATIONS" ´ ˆ š ¾ P õ P â I È ƒ I 0Ñ � COMPUTE ÆERMEDIATE FAC±RIAL � COMBINATI“S Ò � J õ 2 ± D Ü C õ CâJ æ ƒ J ð ‚ P, " PERMUTATIONS" ú ‚ PçC, " COMBINATIONS"  ‚   � RESTART PROGRAM  ˆ š(  � ³b£b»bÃb›b«b ALGíITHM AS SUPPLIED DOES ÷ HìLE EQUALITY <¨� C“STRAÆS ACCíDING ± OSBíNE & ASSOCIATES. /„ ‚ "THIS PROGRAM IS JUST REMARKS. LIST IT." Ž � ^¤•aÎgSCO¤·‚±b²½;€ð‰ËÓeõйéŠ`üŠÁŠÿŽZ™UÁúòóÉÉšá ‚ "MANN-WHITNEY U-TEST"  ‚ 2 � SET MAXIMUM SAMPLE SIZE ± XàM), YàN) àWHERE = � MõMAXIMUM SIZE OF SAMPLE 1, NõMAXIMUM SIZE OF SAMPLE 2  ‹ Xà25), Yà25) ( ‹ Nà2) 1 � † THE TWO SAMPLES 2 � I õ 1 ± 2 < ‚ "SAMPLE",I,":" F † " SIZE ", NàI) Z � J õ 1 ± NàI) d ‚ " DATA ", J, n † YàJ) x ƒ J � � SíT EACH SAMPLE ‚ � J õ 1 ± NàI) Œ � K õ 1 ± NàI)åJ – C õ YàK)   D õ YàKã1) ª „ YàK)ôYàKã1) ² šÈ ´ YàK) õ YàKã1) ¾ YàKã1) õ C È ƒ K Ò ƒ J Ü ‚ &å � TRANSFER FIRST SAMPLE ± XåARRAY æ „ Iõ2 ² š ð � J õ 1 ± Nà1) ú XàJ) õ YàJ)  ƒ J  ƒ I  � ADD UP RANKS  R õ1 " I õ 0 , J õ 0 6 I õ I ã 1 @ J õ J ã 1 J „ IöNà1) ² šD T „ JöNà2) ² šl ^ „ XàI)ôYàJ) ² šl h „ YàJ)ôXàI) ² šN 4q � œS 370å570 HìLE EQUAL SCíES FROM BOTH SAMPLES r K õ 2 | M õ I † L õ J � R1 õ 2âR ã 1 š R õ R ã 2 ¤ I õ I ã 1 ® J õ J ã 1 ¸ „ IöNà1) ² šà  „ XàI)ñXàIå1) ² šà Ì I õ I ã 1 Ö ˆ šþ à „ JöNà2) ² š& ê „ YàJ)ñYàJå1) ² š& ô J õ J ã 1 þ R1 õ R1 ã R  R õ R ã 1  K õ K ã 1  ˆ š¸ & X õ X ã àIåM)âR1çK 0 Y õ Y ã àJåL)âR1çK : ˆ šJ D „ JöNà2) ² š” N Y õ Y ã R X J õ J ã 1 b ˆ š€ l X õ X ã R v I õ I ã 1 € R õ R ã 1 Š ˆ šJ A“ � U1 õ NUMBER OF TIMES SAMPLE 1 SCíES PRECEDE SAMPLE 2 SCíES )” U1 õ Nà1)âNà2) ã Nà1)âàNà1)ã1)ç2 å X A� � U2 õ NUMBER OF TIMES SAMPLE 2 SCíES PRECEDE SAMPLE 1 SCíES )ž U2 õ Nà1)âNà2) ã Nà2)âàNà2)ã1)ç2 å Y ¨ ‚ )² ‚ "FIRST SAMPLE PRECEDING, U = ", U1 *¼ ‚ "SECOND SAMPLE PRECEDING, U = ", U2 Æ � g'ggggOgGgïf/g_gÙedf/7g‚A0A0A@A@A`ApA€A€A�A/?g‚ APAPA`ApA€A�A�AB + ‚ "MEAN, VARIANCE, STANDARD DEVIATION"  ‚ 1 † "WHICH METHOD (0=POPULATION, 1=SAMPLE)", S 12 † "KIND OF DATA (0=GROUPED, 1=UNGROUPED)", K #F † "NUMBER OF OBSERVATIONS ", N Z R õ 0 d M õ 0 n P õ 0 x „ Kõ1 ² šæ � � � GROUPED ‡ ‚ � I õ 1 ± N Œ ‚ "ITEM, FREQUENCY ",I, – † A, B Ÿ � ACCUMULATE ENTERED ·UES   R õ R ã BâA ,© � ACCUMULATE ÆERMEDIATE ·UES � VARIANCE ª P õ P ã B ´ M õ M ã BâAá2 ¾ ƒ I Ç � CALCULATE MEAN ì VARIANCE È R õ RçP Ò V õ àMåPâRá2) ç àPåS) Û � ‚ RESULTS Ü ˆ š6 å � � UNGROUPED ‡ æ � I õ 1 ± N ð ‚ "ITEM ", I, ú † D  � ACCUMULATE ENTERED ·UES  P õ P ã D ,  � ACCUMULATE ÆERMEDIATE ·UES � VARIANCE  M õ M ã Dá2  ƒ I #! � CALCULATE MEAN ì VARIANCE, ‚ " R õ PçN , V õ àMåNâRá2) ç àNåS) 6 ‚ ? � ‚ RESULTS 2@ ‚ " MEAN VARIANCE STANDARD DEVIATION" J ‚ R, ³à12), V, ³à26), ÄàV) T ‚ ] � RESTART í � PROGRAM %^ † "MORE DATA (1=YES, 0=NO)? ", S r „ Sõ1 ² š | � % ‚ "GEOMETRIC MEAN AND DEVIATION"  ‚ . ‚ "(TO END PROGRAM ENTER 0 OBSERVATIONS)" #( † "NUMBER OF OBSERVATIONS ", N ; � TEST � � OF PROGRAM < „ Nõ0 ² šÈ E � COMPUTE WHICH ROOT ± USE F P õ 1çN P M õ 1 Z � I õ 1 ± N d ‚ "ITEM ", I, n † D w � ITERATIVELY COMPUTE MEAN x M õ MâDáP ,� � ACCUMULATE ÆERMEDIATE TERM � DEVIATI“ ‚ Q õ Q ã ÝàD)á2 Œ ƒ I • � COMPUTE DEVIATI“ )– R õ ÞàÄàQçàNå1)åàNçàNå1)âàÝàM))á2)))   ‚ "GEOMETRIC MEAN = ", M "ª ‚ "GEOMETRIC DEVIATION = ", R ´ ‚ ½ � RESTART PROGRAM ¾ ˆ š( È � bbbøab b(bffg@A@hApA AYR…B#hwAISHER àSEE 7 � THE » '÷ICE' “ THIS DISK) DESERVES AT LEAST THAT ª� REWARD. ´� 3¾� THE FOLLOWING PROGRAMSàNåS) 6 ‚ ? � ‚ RESULTS 2@ ‚ " MEAN VARIANCE STANDARD DEVIATION" J ‚ R, ³à12), V, ³à26), ÄàV) T ‚ ] � RESTART í � PROGRAM %^ † "MORE DATA (1=YES, 0=NO)? ", S r „ Sõ1 ² š | �  ‚ "BINOMIAL DISTRIBUTION"  ‚  ‹ Mà3) !( ‚ "(TO END PROGRAM ENTER 0)" 2 † "NUMBER OF TRIALS? ", N F „ Nõ0 ² š 'P † "EXACT NUMBER OF SUCCESSES? ", X +d † "PROBABILITY OF SINGLE SUCCESS? ", P w � COMPUTE THE FAC±RIALS x Mà1) õ N ‚ Mà2) õ X Œ Mà3) õ N å X – � I õ 1 ± 3   „ MàI)õ0 ² šÜ ª A õ 1 ´ � J õ 1 ± MàI) ¾ A õ AâJ È ƒ J Ò MàI) õ ÝàA) Ü ƒ I 5å � UËG THE COMPUTED FAC±RIALS COMPUTE PROBABILITY 6æ R õ ÞàMà1) å Mà2) å Mà3) ã XâÝàP) ã àNåX)âÝà1åP)) Að ‚ "PROBABILITY OF ", X, " SUCCESSES IN ", N, " TRIALS = ", R ú ‚  ˆ š2  � VbNb^bb6bFbfb>b/G‡IAi1G@‘u”A Affg@@A`A@AQ@×Ö×¾ƒGªÙ_žÂgJ_)7LZÁ+™ƒ‚î~æhn2¾"Ÿ‚~*ÏŠBx*X#p~À÷àNåS) 6 ‚ ? � ‚ RESULTS 2@ ‚ " MEAN VARIANCE STANDARD DEVIATION" J ‚ R, ³à12), V, ³à26), ÄàV) T ‚ ] � RESTART í � PROGRAM %^ † "MORE DATA (1=YES, 0=NO)? ", S r „ Sõ1 ² š | �  ‚ "POISSON DISTRIBUTION"  ‚ ! ‚ "(TO END PROGRAM ENTER 0)" "( † "CALCULATED FREQUENCY? ", L ; � � PROGRAM? < „ Lõ0 ² š´ F † "TEST FREQUENCY? ", X Y � COMPUTE FAC±RIAL Z A õ 1 d � I õ 1 ± X n A õ AâI x ƒ I � � COMPUTE PROBABILITY ‚ A õ ÝàA) Œ A õ ÞàåL ã XâÝàL) å A) 1– ‚ "PROBABILITY OF ", X, " OCCURRENCES = ", A   ‚ © � RESTART PROGRAM ª ˆ š( ´ � kasa[aca A'pU@0Aå Mà2) å Mà3) ã XâÝàP) ã àNåX)âÝà1åP ‚ "NORMAL DISTRIBUTION"  ‚ % ‚ "(0=STANDARD, 1=NON-STANDARD)" $( † "WHICH TYPE OF VARIABLE? ", S < „ Sõ0 ² šx /E � œS 70 å 110 REQUEST N“åSTìARD VARIABLE ‡ F † "MEAN? ", M Z † "STANDARD DEVIATION? ", S n ˆ š‚ x S õ 1 ‚ ‚ )Œ ‚ "(TO END PROGRAM ENTER X = 99999)" – † "X = ", X © � � PROGRAM? ª „ Xõ99999 ² š" #³ � ADJUST � N“åSTìARD VARIABLES ´ X õ àXåM)çS &½ � COMPUTE FREQUENCY àYåCOíDINATE) !¾ R õ Þàå0.5âXá2)ç2.5066282746 È ‚ "FREQUENCY = ", R Ò Z õ X 1Û � APPROXIMATE PROBABILITY àAREA UNDER CURVE) Ü T õ 1 ç à1 ã 0.33267âÛàX)) =æ T õ 0.5 å Râà0.4361836âT å 0.1201676âTá2 ã 0.937298âTá3) "ï � ADJUST � NEGATIVE VARIABLES ð „ Zô0 ² T õ 1 å T  ‚ "PROBABILITY = ", T  ‚  ˆ š– " � ÁbàNåS) 6 ‚ ? � ‚ RESULTS 2@ ‚ " MEAN VARIANCE STANDARD DEVIATION" J ‚ R, ³à12), V, ³à26), ÄàV) T ‚ ] � RESTART í � PROGRAM %^ † "MORE DATA (1=YES, 0=NO)? ", S r „ Sõ1 ² š | � Æ � g'ggggOgGgïf/g_gÙedf/7g‚A0A0A@A@A`ApA€A€A�A/?g‚ APAPA`ApA€A�A�AB + ‚ "MEAN, VARIANCE, STANDARD DEVIATION"  ‚ 1 † "WHICH METHOD (0=POPULATION, 1=SAMPLE)", S 12 † "KIND OF DATA (0=GROUPED, 1=UNGROUPED)", K #F † "NUMBER OF OBSERVATIONS ", N Z R õ 0 d M õ 0 n P õ 0 x „ Kõ1 ² šæ � � � GROUPED ‡ ‚ � I õ 1 ± N Œ ‚ "ITEM, FREQUENCY ",I, – † A, B Ÿ � ACCUMULATE ENTERED ·UES   R õ R ã BâA ,© � ACCUMULATE ÆERMEDIATE ·UES � VARIANCE ª P õ P ã B ´ M õ M ã BâAá2 ¾ ƒ I Ç � CALCULATE MEAN ì VARIANCE È R õ RçP Ò V õ àMåPâRá2) ç àPåS) Û � ‚ RESULTS Ü ˆ š6 å � � UNGROUPED ‡ æ � I õ 1 ± N ð ‚ "ITEM ", I, ú † D  � ACCUMULATE ENTERED ·UES  P õ P ã D ,  � ACCUMULATE ÆERMEDIATE ·UES � VARIANCE  M õ M ã Dá2  ƒ I #! � CALCULATE MEAN ì VARIANCE, ‚ " R õ PçN , V õ àMåNâRá2) ç àNåS) 6 ‚ ? � ‚ RESULTS 2@ ‚ " MEAN VARIANCE STANDARD DEVIATION" J ‚ R, ³à12), V, ³à26), ÄàV) T ‚ ] � RESTART í � PROGRAM %^ † "MORE DATA (1=YES, 0=NO)? ", S r „ Sõ1 ² š | � % ‚ "GEOMETRIC MEAN AND DEVIATION"  ‚ . ‚ "(TO END PROGRAM ENTER 0 OBSERVATIONS)" #( † "NUMBER OF OBSERVATIONS ", N ; � TEST � � OF PROGRAM < „ Nõ0 ² šÈ E � COMPUTE WHICH ROOT ± USE F P õ 1çN P M õ 1 Z � I õ 1 ± N d ‚ "ITEM ", I, n † D w � ITERATIVELY COMPUTE MEAN x M õ MâDáP ,� � ACCUMULATE ÆERMEDIATE TERM � DEVIATI“ ‚ Q õ Q ã ÝàD)á2 Œ ƒ I • � COMPUTE DEVIATI“ )– R õ ÞàÄàQçàNå1)åàNçàNå1)âàÝàM))á2)))   ‚ "GEOMETRIC MEAN = ", M "ª ‚ "GEOMETRIC DEVIATION = ", R ´ ‚ ½ � RESTART PROGRAM ¾ ˆ š( È � bbbøab b(bffg@A@hApA AYR…B#hwAISHER àSEE 7 � THE » '÷ICE' “ THIS DISK) DESERVES AT LEAST THAT ª� REWARD. ´� 3¾� THE FOLLOWING PROGRAMSàNåS) 6 ‚ ? � ‚ RESULTS 2@ ‚ " MEAN VARIANCE STANDARD DEVIATION" J ‚ R, ³à12), V, ³à26), ÄàV) T ‚ ] � RESTART í � PROGRAM %^ † "MORE DATA (1=YES, 0=NO)? ", S r „ Sõ1 ² š | � ! ‚ "STUDENT'S T-DISTRIBUTION"  ‚ . ‚ "(TO END PROGRAM ENTER A T-VALUE OF 0)" ( † "T-VALUE? ", T < „ Tõ0 ² šT F † "DEGREES OF FREEDOM? ", D Z X õ 1 d Y õ 1 n T õ Tá2 )w � COMPUTE UËG INVERSE � SMALL Tå·UES x „ Tô1 ² šª ‚ S õ Y Œ R õ D – Z õ T   ˆ šÈ ª S õ D ´ R õ Y ¾ Z õ 1çT È J õ 2ç9çS Ò K õ 2ç9çR &Û � COMPUTE UËG APPROXIMATI“ �MULAS 4Ü L õ Ûàà1åK)âZáà1ç3) å 1 ã J) ç ÄàKâZáà2ç3) ã J) æ „ Rô4 ² š Jð X õ 0.5çà1ãLâà0.196854 ã Lâà0.115194 ã Lâà0.000344 ã Lâ0.019527))))á4 ú X õ ÆàXâ10000ã0.5)ç10000  ˆ š"  L õ Lâà1ã0.08âLá4çRá3)  ˆ šð $! � ADJUST „ INVERSE WAS COMPUTED " „ Tô1 ² X õ 1 å X 6 ‚ "RIGHT TAIL VALUE = ", X @ ‚ J ˆ š( T � ¢bÒbÚbâbÂbºbšbªb²bÊbT � I õ 1 ± C ^ ‚ "COLUMN ",I h � J õ 1 ± R q � P õ ÞECTED CELL ·UE r P õ AàJ)âV2àI)çL w X õ I ã àJå1)âC ={ � USE YATES CíRECTI“ � ¦INUITY IN 2 x 2 CHIåSQUARE TESTS | „ Rñ2 ² š† } „ Cñ2 ² š† !~ Y õ àÛàV1àX) å P) å 0.5)á2çP  ˆ š� )…& ‚ "STUDENT'S T-DISTRIBUTION TEST"  ‚ ? � LIMIT SAMPLE SIZE ± PàN,2) WHERE N õ MAXIMUM SAMPLE SIZE  ‹ Pà10,2) ( ‹ Và2), Rà2), Mà2), Dà2) 2 ‚ "TEST 1: MEAN = X" E< ‚ "TEST 2: MEAN = MEAN, STANDARD DEVIATION = STANDARD DEVIATION" FF ‚ "TEST 3: MEAN = MEAN, STANDARD DEVIATION <> STANDARD DEVIATION" P † "WHICH HYPOTHESIS? ", T d ‚ 0m � PUT IN 1 í 2 SAMPLES DEP�ING “ HYPOTHESIS n � I õ 1 ± ÊàTå1)ã1 x VàI) õ 0 ‚ DàI) õ 0 Œ ‚ "SAMPLE ",I,":" %– † " NUMBER OF ELEMENTS? ", RàI) ª � J õ 1 ± RàI) ´ ‚ " ELEMENT ", J, ¾ † PàJ,I) Ç � ACCUMULATE SAMPLES È VàI) õ VàI) ã PàJ,I) Ò DàI) õ DàI) ã PàJ,I)á2 Ü ƒ J å � COMPUTE ÆERMEDIATE ·UES æ MàI) õ VàI)çRàI) -ð VàI) õ àDàI) å VàI)á2çRàI)) ç àRàI) å 1) ú ƒ I  ‚  „ Tõ2 ² šT  „ Tõ3 ² š| *! � PUT IN GIVEN ·UE � FIRST HYPOTHESIS " † "VALUE OF MEAN? ", M 55 � COMPUTE T ì DEGREES OF ØDOM � FIRST HYPOTHESIS 6 A õ àMà1)åM) â ÄàRà1)çVà1)) @ B õ Rà1) å1 J ˆ š¤ 5S � COMPUTE T ì DEGREES OF ØDOM � SEC“D HYPOTHESIS +T A õ àMà1) å Mà2)) ç Äà1çRà1) ã 1çRà2)) ^ B õ Rà1) ã Rà2) å2 1h A õ A ç ÄàààRà1)å1)âVà1) ã àRà2)å1)âVà2))çB) r ˆ š¤ 5{ � COMPUTE T ì DEGREES OF ØDOM � THIRD HYPOTHESIS 1| A õ àMà1) å Mà2)) ç ÄàVà1)çRà1) ã Và2)çRà2)) "† B õ àVà1)çRà1) ã Và2)çRà2))á2 B� B õ B ç ààVà1)çRà1))á2çàRà1)ã1) ã àVà2)çRà2))á2çàRà2)ã1)) å 2 š B õ ÆàB ã 0.5) ¤ ‚ ® ‚ "T-VALUE = ", ÛàA) !¸ ‚ "DEGREES OF FREEDOM = ", B  � šf¢fjfŠf’fRfre:f‚f"f/¥ CC ‚ "F-DISTRIBUTION"  ‚ / ‚ "(TO END PROGRAM ENTER AN F-VALUE OF 0)" ( † "F-VALUE? ", F < „ Fõ0 ² šT .F † "DEGREES OF FREEDOM IN NUMERATOR? ", D1 0Z † "DEGREES OF FREEDOM IN DENOMINATOR? ", D2 n X õ 1 )w � COMPUTE UËG INVERSE � SMALL Få·UES x „ Fô1 ² šª ‚ S õ D1 Œ T õ D2 – Z õ F   ˆ šÈ ª S õ D2 ´ T õ D1 ¾ Z õ 1çF È J õ 2ç9çS Ò K õ 2ç9çT .Ü Y õ Ûàà1åK)âZáà1ç3)å1ãJ) ç ÄàKâZáà2ç3)ãJ) æ „ Tô4 ² š Nð X õ 0.5 ç à1 ã Yâà0.196854 ã Yâà0.115194 ã Yâà0.000344 ã Yâ0.019527))))á4 ú X õ ÆàXâ10000ã0.5)ç10000  ˆ š"  Y õ Yâà1 ã 0.08âYá4çTá3)  ˆ šð $! � ADJUST „ INVERSE WAS COMPUTED " „ Fô1 ² X õ 1 å X 56 ‚ "PERCENTILE = ", 1åX, ", TAIL END VALUE = ", X @ ‚ J ˆ š( T � µb­båbíbÍb šT  „ Tõ3 ² š| *! � PUT IN GIVEN ·UE � FIRST HYPOTHESIS " † "VALUE OF MEAN? ", M 55 � COMPUTE T ì DEGREES OF ØDOM � FIRST HYPOTHESIS 6 A õ àMà1)åM) â ÄàRà1)çVà1)) @ B õ Rà1) å1 J ˆ š¤ 5S � COMPUTE T ì DEGREES OF ØDOM � SEC“D HYPOTHESIS +T' ‚ "LINEAR CORRELATION COEFFICIENT"  ‚  † "NUMBER OF POINTS? ", N 2 J õ 0 < K õ 0 F L õ 0 P M õ 0 Z R õ 0 !c � ENTER COíDINATES OF ‡ POÆS d � I õ 1 ± N n ‚ "X,Y OF POINT ", I, x † X, Y !� � ACCUMULATE ÆERMEDIATE ·UES ‚ J õ J ã X Œ K õ K ã Y – L õ L ã Xá2   M õ M ã Yá2 ª R õ R ã XâY ´ ƒ I ½ � CALCULATE COEFFICIENT, ‚ 0¾ R2 õ àNâR å JâK) ç ÄààNâL å Já2)âàNâMåKá2)) È ‚ *Ò ‚ "COEFFICIENT OF CORRELATION = ", R2 Ü �  ‚ "LINEAR REGRESSION"  ‚ $ † "NUMBER OF KNOWN POINTS? ", N 2 J õ 0 < K õ 0 F L õ 0 P M õ 0 Z R2 õ 0 &c � LOOP ± ENTER COíDINATES OF POÆS d � I õ 1 ± N n ‚ "X,Y OF POINT ", I, x † X,Y !� � ACCUMULATE ÆERMEDIATE SUMS ‚ J õ J ã X Œ K õ K ã Y – L õ L ã Xá2   M õ M ã Yá2 ª R2 õ R2 ã XâY ´ ƒ I ½ � COMPUTE CURVE COEFFICIENT #¾ B õ àNâR2 å KâJ) ç àNâL å Já2) È A õ àK å BâJ) ç N Ò ‚ (Ü ‚ "F(X) = ", A, " + (", B, " * X )" !å � COMPUTE REGRESSI“ ANALYSIS æ J õ B â àR2 å JâKçN) ð M õ M å Ká2çN ú K õ M å J  ‚  R2 õ J ç M 2 ‚ "COEFFICIENT OF DETERMINATION (R^2) = ", R2 -" ‚ "COEFFICIENT OF CORRELATION = ", ÄàR2) ', ‚ "STANDARD ERROR OF ESTIMATE = ", 1 „ Nö2 ² ‚ ÄàKçàNå2)) ´ ‚ 0 6 ‚ >? � ESTIMATE YåCOíDINATES OF POÆS WITH ENTERED XåCOíDINATES 4@ ‚ "INTERPOLATION: (ENTER X = 0 TO END PROGRAM)" J † "X = ", X ] � RESTART í � PROGRAM? ^ „ Xõ0 ² š† h ‚ "Y = ", AãBâX r ‚ | ˆ šJ † � äcÜcÄcœc¤c¬c´c”c¼cÌcÔcB# ‚ "MULTIPLE LINEAR REGRESSION"  ‚ < � SET ARRAY LIMITS ± XàNã1), SàNã1), TàNã1), AàNã1,Nã2)  ‹ Xà9), Sà9), Tà9), Aà9,10) $( † "NUMBER OF KNOWN POINTS? ", N -< † "NUMBER OF INDEPENDENT VARIABLES? ", V P Xà1) õ 1 Z � I õ 1 ± N d ‚ "POINT ", I n � J õ 1 ± V +w � ENTER INDEP�ENT VARIABLES � EACH POÆ x ‚ " VARIABLE ", J, ‚ † XàJã1) Œ ƒ J (• � ENTER DEP�ENT VARIABLE � EACH POÆ '– † " DEPENDENT VARIABLE? ", XàVã2) 3© � POPULATE A MATRIX ± BE USED IN CURVE FITTING ª � K õ 1 ± Vã1 ´ � L õ 1 ± Vã2 ¾ AàK,L) õ AàK,L) ã XàK)âXàL) È SàK) õ AàK,Vã2) Ò ƒ L Ü ƒ K æ SàVã2) õ SàVã2) ã XàVã2)á2 ð ƒ I >ø � STATEMENTS 250 ± 500 FIT CURVE BY SOLVING THE SYSTEM OF !ù � œAR EQUATI“S IN MATRIX Aà) ú � I õ 2 ± Vã1  TàI) õ Aà1,I)  ƒ I  � I õ 1 ± Vã1 " � J õ I ± Vã1 , „ AàJ,I)ñ0 ² – šT 6 ƒ J @ ‚ "NO UNIQUE SOLUTION" J ˆ š* T � K õ 1 ± Vã2 ^ B õ AàI,K) h AàI,K) õ AàJ,K) r AàJ,K) õ B | ƒ K † Z õ 1çAàI,I) � � K õ 1 ± Vã2 š AàI,K) õ ZâAàI,K) ¤ ƒ K ® � J õ 1 ± Vã1 ¸ „ JõI ² šê  Z õ åAàJ,I) Ì � K õ 1 ± Vã2 Ö AàJ,K) õ AàJ,K) ã ZâAàI,K) à ƒ K ê ƒ J ô ƒ I þ ‚  ‚ "EQUATION COEFFICIENTS:" !  ‚ " CONSTANT: ", Aà1,Vã2)  � I õ 2 ± Vã1 ( ‚ "VARIABLE(", Iå1, "): ", AàI,Vã2) & ƒ I 0 P õ 0 : � I õ 2 ± Vã1 *D P õ P ã AàI,Vã2)âàSàI) å TàI)âSà1)çN) N ƒ I X R õ SàVã2) å Sà1)á2çN b Z õ R å P l L õ N å V å 1 € ‚ Š I õ P ç R 1” ‚ "COEFFICIENT OF DETERMINATION (R^2) = ", I 5ž ‚ "COEFFICIENT OF MULTIPLE CORRELATION = ", ÄàI) '¨ ‚ "STANDARD ERROR OF ESTIMATE = ", ­ „ Lö0 ² ‚ ÄàÛàZçL)) ´ ‚ 0 ² ‚ A» � ESTIMATE DEP�ENT VARIABLE FROM ENTERED INDEP�ENT VARIABLES 0¼ ‚ "INTERPOLATION: (ENTER 0 TO END PROGRAM)" Æ P õ Aà1,Vã2) Ð � J õ 1 ± V Ú ‚ "VARIABLE ", J, ä † X í � TEST � � OF PROGRAM î „ Xõ0 ² š* ø P õ P ã AàJã1,Vã2)âX  ƒ J !  ‚ "DEPENDENT VARIABLE = ", P  ‚  ˆ šÆ * � hgjGjOjWj_j7jwjj�gËg?jUgoj/‡j2 ApAPBXB/2 P ‚ "NTH-ORDER REGRESSION"  ‚ $ � SET ‹ENSI“S IN STATEMENT 30 ± B � Aà2Dã1), RàDã1,Dã2), TàDã2) WHERE D õ MAX DEGREE OF EQUATI“  ‹ Aà13), Rà7,8), Tà8) ( † "DEGREE OF EQUATION? ", D $< † "NUMBER OF KNOWN POINTS? ", N P Aà1) õ N !Y � ENTER COíDINATES OF ‡ POÆS Z � I õ 1 ± N d ‚ "X,Y OF POINT ",I, n † X,Y *v � œS 180 å 200 POPULATE MATRICES WITH w � A SYSTEM OF EQUATI“S x � J õ 2 ± 2âDã1 ‚ AàJ) õ AàJ) ã XáàJå1) Œ ƒ J – � K õ 1 ± Dã1   RàK,Dã2) õ TàK) ã YâXáàKå1) ª TàK) õ TàK) ã YâXáàKå1) ´ ƒ K ¾ TàDã2) õ TàDã2) ã Yá2 È ƒ I >Ñ � œS 210å490 SOLVE THE SYSTEM OF EQUATI“S IN THE MATRICES Ò � J õ 1 ± Dã1 Ü � K õ 1 ± Dã1 æ RàJ,K) õ AàJãKå1) ð ƒ K ú ƒ J  � J õ 1 ± Dã1  � K õ J ± Dã1  „ RàK,J)ñ0 ² – š@ " ƒ K , ‚ "NO UNIQUE SOLUTION" 6 ˆ š @ � I õ 1 ± Dã2 J S õ RàJ,I) T RàJ,I) õRàK,I) ^ RàK,I) õ S h ƒ I r Z õ 1 ç RàJ,J) | � I õ 1 ± Dã2 † RàJ,I) õ ZâRàJ,I) � ƒ I š � K õ 1 ± Dã1 ¤ „ KõJ ² šÖ ® Z õ åRàK,J) ¸ � I õ 1 ± Dã2  RàK,I) õ RàK,I) ã ZâRàJ,I) Ì ƒ I Ö ƒ K à ƒ J ê ‚ +ï ‚ " CONSTANT = ", Rà1,Dã2) ó � ‚ EQUATI“ COEFFICIENTS ô � J õ 1 ± D .þ ‚ J, " DEGREE COEFFICIENT = ", RàJã1,Dã2)  ƒ J  ‚ ! � COMPUTE REGRESSI“ ANALYSIS  P õ 0 & � J õ 2 ± Dã1 ,0 P õ P ã RàJ,Dã2) â àTàJ) å AàJ)âTà1)çN) : ƒ J D Q õ TàDã2) å Tà1)á2çN N Z õ Q å P X I õ N å D å 1 l ‚ v J õ PçQ 1€ ‚ "COEFFICIENT OF DETERMINATION (R^2) = ", J ,Š ‚ "COEFFICIENT OF CORRELATION = ", ÄàJ) &” ‚ "STANDARD ERRO OF ESTIMATE = ", ™ „ Iõ0 ² ‚ 0 ´ ‚ ÄàZçI) ž ‚ 3§ � COMPUTE YåCOíDINATE FROM ENTERED XåCOíDINATE 0¨ ‚ "INTERPOLATION: (ENTER 0 TO END PROGRAM)" ² P õ Rà1,Dã2) ¼ † "X = ", X Ð „ Xõ0 ² š Ú � Jõ1 ± D ä P õ P ã RàJã1,Dã2)âXáJ î ƒ J ø ‚ "Y = ", P  ‚  ˆ š²  � îfæhöhiiîh.i6i=gi°hþhi&i/F`A'C�Ex0FFuH/h AE331Aw�B ‚ "GEOMETRIC REGRESSION"  ‚ $ † "NUMBER OF KNOWN POINTS? ", N 2 J õ 0 < K õ 0 F L õ 0 P M õ 0 Z R2 õ 0 'c � ENTER COíDINATES OF KNOWN ‡ POÆS d � I õ 1 ± N n ‚ "X,Y OF POINT ", I, x † X,Y !� � ACCUMULATE ÆERMEDIATE ·UES ‚ Y õ ÝàY) Œ X õ ÝàX) – J õ J ã X   K õ K ã Y ª L õ L ã Xá2 ´ M õ M ã Yá2 ¾ R2 õ R2 ã XâY È ƒ I ,Ñ � CALCULATE ì ‚ COEFFICIENTS OF EQUATI“ #Ò B õ àNâR2 å KâJ) ç àNâL å Já2) Ü A õ àK å BâJ) ç N æ ‚ ð ‚ "F(X) = ", ÞàA), "*X^", B #ù � CALCULATE REGRESSI“ ANALYSIS ú J õ BâàR2 å JâKçN)  M õ M å Ká2çN  K õ M å J  ‚ " R2 õ JçM 2, ‚ "COEFFICIENT OF DETERMINATION (R^2) = ", R2 -6 ‚ "COEFFICIENT OF CORRELATION = ", ÄàR2) '@ ‚ "STANDARD ERROR OF ESTIMATE = ", E „ Nõ2 ² ‚ 0 ´ ‚ ÄàKçàNå2)) J ‚ 4S � ESTIMATE YåCOíDINATE FROM ENTERED XåCOíDINATE 0T ‚ "INTERPOLATION: (ENTER 0 TO END PROGRAM)" ^ † "X = ", X r „ Xõ0 ² šš | ‚ "Y = ", ÞàA)âXáB † ‚ � ˆ š^ š � ÞcÖc¾c–cžc¦c®cŽc¶cÆcÎc`A H2WA ‚ "EXPONENTIAL REGRESSION"  ‚ $ † "NUMBER OF KNOWN POINTS? 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