HP 10BII Manual
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7: Statistical Calculations 85 7 Statistical Calculations 7KHADQG*@NH\VDUHXVHGWRHQWHUDQGGHOHWHGDWD IRURQHDQGWZRYDULDEOHVWDWLVWLFV6XPPDWLRQGDWDLV VWRUHGLQPHPRU\7KHODEHOVDERYHWKH WRNH\V LQGLFDWHZKDWVXPPDWLRQGDWDLVVWRUHG2QFH\RXHQWHUWKH GDWD\RXFDQXVHWKHVWDWLVWLFDOIXQFWLRQVWRFDOFXODWHWKH IROORZLQJ n0HDQDQGVWDQGDUGGHYLDWLRQ n/LQHDUUHJUHVVLRQVWDWLVWLFV n/LQHDUHVWLPDWLRQDQGIRUHFDVWLQJ n:HLJKWHGPHDQ n6XPPDWLRQVWDWLVWLFV Q S [S [S \ S \DQG S [\ Clearing Statistical Data &OHDUWKHVWDWLVWLFDOUHJLVWHUVEHIRUHHQWHULQJQHZGDWD,I \RXGRQ·WFOHDUWKHUHJLVWHUVGDWDFXUUHQWO\VWRUHGLV DXWRPDWLFDOO\LQFOXGHGLQWKHVXPPDWLRQFDOFXODWLRQV7R FOHDUWKHVWDWLVWLFDOUHJLVWHUVSUHVV *j7KHGLVSOD\LV DOVRFOHDUHG 10B.book Page 85 Wednesday, June 21, 2000 5:19 PM
86 7: Statistical Calculations Entering Statistical Data 7KHUHLVQROLPLWWRWKHQXPEHURIYDOXHV\RXFDQDFFXPXODWHLQWKH VWDWLVWLFDOUHJLVWHUV One-Variable Statistics 7RHQWHU[GDWDIRURQHYDULDEOHVWDWLVWLFVFRPSOHWHWKHIROORZLQJVWHSV &OHDUWKHVWDWLVWLFDOUHJLVWHUVE\SUHVVLQJ *j (QWHUWKHILUVWYDOXHDQGSUHVV A7KH+3%,,GLVSOD\V QWKH QXPEHURILWHPVDFFXPXODWHG &RQWLQXHDFFXPXODWLQJYDOXHVE\HQWHULQJWKHQXPEHUVDQGSUHVVLQJ A7KH QYDOXHLVLQFUHPHQWHGZLWKHDFKHQWU\ Two-Variable Statistics and Weighted Mean 7RHQWHU [\ SDLUVRIVWDWLVWLFDOGDWDFRPSOHWHWKHVHVWHSV &OHDUWKHVWDWLVWLFDOUHJLVWHUVE\SUHVVLQJ *j (QWHUWKHILUVW [YDOXHDQGSUHVV 07KH+3%,,GLVSOD\VWKH [ YDOXH (QWHUWKHFRUUHVSRQGLQJ \YDOXHDQGSUHVV A7KH+3%,, GLVSOD\V QWKHQXPEHURISDLUVRILWHPVDFFXPXODWHG &RQWLQXHHQWHULQJ [\ SDLUV7KH QYDOXHLVLQFUHPHQWHGZLWKHDFK HQWU\ 7RHQWHUGDWDIRUFDOFXODWLQJWKHZHLJKWHGPHDQHQWHUHDFKGDWDYDOXHDV [ DQGLWVFRUUHVSRQGLQJZHLJKWDV \ If statistical data causes the value of a register to exceed ± 9.99999999999 × 10499, the HP 10BII displays a temporary overflow warning (OFLO). 10B.book Page 86 Wednesday, June 21, 2000 5:19 PM
7: Statistical Calculations 87 Correcting Statistical Data ,QFRUUHFWHQWULHVFDQEHGHOHWHGXVLQJ*@,IHLWKHUYDOXHRIDQ[\ SDLU LVLQFRUUHFW\RXPXVWGHOHWHDQGUHHQWHUERWKYDOXHV Correcting One-Variable Data 7RGHOHWHDQGUHHQWHUVWDWLVWLFDOGDWD .H\LQWKH [YDOXHWREHGHOHWHG 3UHVV *@WRGHOHWHWKHYDOXH7KH QYDOXHLVGHFUHDVHGE\RQH (QWHUWKHFRUUHFWYDOXHXVLQJ A Correcting Two-Variable Data 7RGHOHWHDQGUHHQWHU [\ SDLUVRIVWDWLVWLFDOGDWD .H\LQWKH [YDOXHSUHVV 0DQGWKHQNH\LQWKH \YDOXH 3UHVV *@WRGHOHWHWKHYDOXHV7KH QYDOXHLVGHFUHDVHGE\RQH (QWHUWKHFRUUHFW [\ SDLUXVLQJ 0DQGA Summary of Statistical Calculations 6RPHIXQFWLRQVUHWXUQWZRYDOXHV7KHSTATDQQXQFLDWRULQGLFDWHVWKDW WZRYDOXHVKDYHEHHQUHWXUQHG3UHVV *iWRVHHWKHKLGGHQYDOXH Keys Description*i to Display *$$ULWKPHWLFPHDQ DYHUDJH\fRIWKH [YDOXHV 0HDQDYHUDJH\fRIWKH \ YDOXHVLI\RXHQWHUHG \ GDWD *E0HDQRIWKH [YDOXHV ZHLJKWHGE\WKH \YDOXHV *:6DPSOHVWDQGDUG GHYLDWLRQRIWKH [ YDOXHV 6DPSOHVWDQGDUG GHYLDWLRQRIWKH \YDOXHV LI\RXHQWHUHG \GDWD 10B.book Page 87 Wednesday, June 21, 2000 5:19 PM
88 7: Statistical Calculations Mean, Standard Deviations, and Summation Statistics
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90 7: Statistical Calculations Linear Regression and Estimation /LQHDUUHJUHVVLRQLVDVWDWLVWLFDOPHWKRGIRUHVWLPDWLRQDQG IRUHFDVWLQJ,WLVXVHGWRILQGDVWUDLJKWOLQHWKDWEHVWILWVD VHWRI[\ GDWD7KHUHPXVWEHDWOHDVWWZRGLIIHUHQW [\ SDLUV7KHVWUDLJKWOLQHSURYLGHVDUHODWLRQVKLSEHWZHHQWKH [ DQG \YDULDEOHV \ P[ EZKHUH PLVWKHVORSHDQG ELV WKH \LQWHUFHSW Linear Regression. &DOFXODWH PEDQG UWKHFRUUHODWLRQFRHIILFLHQW\fDV IROORZV &OHDUWKHVWDWLVWLFDOUHJLVWHUVE\SUHVVLQJ *j (QWHUWKHILUVW [YDOXHDQGSUHVV 07KH [YDOXHLVGLVSOD\HG (QWHUWKHFRUUHVSRQGLQJ \YDOXHDQGSUHVV A7KH+3%,, GLVSOD\V QWKHQXPEHURISDLUVRILWHPVDFFXPXODWHG &RQWLQXHHQWHULQJ [\ SDLUV7KH QYDOXHLVLQFUHPHQWHGZLWKHDFK HQWU\ 7RGLVSOD\ EWKH \LQWHUFHSW\fSUHVV *47KHQSUHVV *iWRGLVSOD\ PWKHVORSHRIWKHOLQH\f 3UHVV *3*iWRGLVSOD\ UWKHFRUUHODWLRQFRHIILFLHQW Keys: Display: Description: *j0.00&OHDUVVWDWLVWLFDOUHJLVWHUV 0A1.00(QWHUVKHLJKWDQGZHLJKWRI SOD\HU 0A2.00(QWHUVKHLJKWDQGZHLJKWRI SOD\HU 0A3.00(QWHUVKHLJKWDQGZHLJKWRI SOD\HU 0A4.00(QWHUVKHLJKWDQGZHLJKWRI SOD\HU *$184.25&DOFXODWHVPHDQRIKHLJKWV [\f *i82.75LVSOD\VPHDQRIZHLJKWV \\f *M5.80&DOFXODWHVSRSXODWLRQVWDQGDUG GHYLDWLRQIRUKHLJKWV [\f *i4.71LVSOD\VSRSXODWLRQVWDQGDUG GHYLDWLRQIRUZHLJKWV \\f )=331.00LVSOD\VWKHWRWDORIWKH \·V 10B.book Page 90 Wednesday, June 21, 2000 5:19 PM