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HP 10BII Manual

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$Page 86 86 7: Statistical Calculations Entering Statistical Data 7KHUHLVQROLPLWWRWKHQXPEHURIYDOXHV\RXFDQDFFXPXODWHLQWKH VWDWLVWLFDOUHJLVWHUV One-Variable Statistics 7RHQWHU[GDWDIRURQHYDULDEOHVWDWLVWLFVFRPSOHWHWKHIROORZLQJVWHSV &OHDUWKHVWDWLVWLFDOUHJLVWHUVE\SUHVVLQJ *j (QWHUWKHILUVWYDOXHDQGSUHVV A7KH+3%,,GLVSOD\V QWKH QXPEHURILWHPVDFFXPXODWHG &RQWLQXHDFFXPXODWLQJYDOXHVE\HQWHULQJWKHQXPEHUVDQGSUHVVLQJ A7KH...$

$Page 87 7: Statistical Calculations 87 Correcting Statistical Data ,QFRUUHFWHQWULHVFDQEHGHOHWHGXVLQJ*@,IHLWKHUYDOXHRIDQ[\ SDLU LVLQFRUUHFW\RXPXVWGHOHWHDQGUHHQWHUERWKYDOXHV Correcting One-Variable Data 7RGHOHWHDQGUHHQWHUVWDWLVWLFDOGDWD .H\LQWKH [YDOXHWREHGHOHWHG 3UHVV *@WRGHOHWHWKHYDOXH7KH QYDOXHLVGHFUHDVHGE\RQH (QWHUWKHFRUUHFWYDOXHXVLQJ A Correcting Two-Variable Data 7RGHOHWHDQGUHHQWHU [\ SDLUVRIVWDWLVWLFDOGDWD .H\LQWKH...$

$Page 89 7: Statistical Calculations 89 Example 1. $\DFKWFDSWDLQZDQWVWRGHWHUPLQHKRZORQJLWWDNHVWR FKDQJHDVDLO6KHUDQGRPO\FKRRVHVVL[PHPEHUVRIKHUFUHZREVHUYHV WKHPDVWKH\FDUU\RXWWKHVDLOFKDQJHDQGUHFRUGVWKHQXPEHUVRI PLQXWHVUHTXLUHG&DOFXODWHWKHPHDQDQGVDPSOH VWDQGDUGGHYLDWLRQRIWKHWLPHV$OVRFDOFXODWHWKHURRWPHDQVTXDUH XVLQJWKHIRUPXOD 7KHVWDQGDUGGHYLDWLRQVFDOFXODWHGE\ *:DQG*:...$

$Page 90 90 7: Statistical Calculations Linear Regression and Estimation /LQHDUUHJUHVVLRQLVDVWDWLVWLFDOPHWKRGIRUHVWLPDWLRQDQG IRUHFDVWLQJ,WLVXVHGWRILQGDVWUDLJKWOLQHWKDWEHVWILWVD VHWRI[\ GDWD7KHUHPXVWEHDWOHDVWWZRGLIIHUHQW [\ SDLUV7KHVWUDLJKWOLQHSURYLGHVDUHODWLRQVKLSEHWZHHQWKH [ DQG \YDULDEOHV \ P[ EZKHUH PLVWKHVORSHDQG ELV WKH \LQWHUFHSW Linear Regression. &DOFXODWH PEDQG U WKHFRUUHODWLRQFRHIILFLHQW\fDV IROORZV ...$

$Page 91 7: Statistical Calculations 91 Linear Estimation. 7KHVWUDLJKWOLQHFDOFXODWHGE\OLQHDUUHJUHVVLRQFDQ EHXVHGWRHVWLPDWHD \YDOXHIRUDJLYHQ [YDOXHRUYLFHYHUVD (QWHUWKH [\ GDWDXVLQJWKHLQVWUXFWLRQVRQSDJH (QWHUWKHNQRZQ [YDOXHRU \YDOXH n7RHVWLPDWH [IRUWKHJLYHQ \HQWHUWKH \YDOXHWKHQSUHVV*3 n7RHVWLPDWH \IRUWKHJLYHQ [HQWHUWKH [YDOXHWKHQSUHVV*4 Example: Forecasting. $OL·V$]DOHDVDGYHUWLVHVRQDORFDOUDGLRVWDWLRQ...$

$Page 92 92 7: Statistical Calculations (VWLPDWHZKDWWKHOHYHORIVDOHVZRXOGEHLIWKHEXVLQHVVSXUFKDVHGRU PLQXWHVRIDGYHUWLVLQJ +RZPDQ\PLQXWHVRIDGYHUWLVLQJVKRXOG$OL·VEX\WRDWWDLQVDOHVRI Keys: Display: Description: *j0.00&OHDUVVWDWLVWLFDOUHJLVWHUV 0A1.00(QWHUVPLQXWHVDQGVDOHV IRUFRQVHFXWLYHZHHNV 0A2.00 0A3.00 0A4.00 0A5.00 0A6.00 *4376.25&DOFXODWHV\LQWHUFHSW E\f *i425.88LVSOD\VVORSH *3*i0.90&DOFXODWHVFRUUHODWLRQ FRHIILFLHQW...$

$Page 93 7: Statistical Calculations 93 Weighted Mean 7KHIROORZLQJSURFHGXUHFDOFXODWHVWKHZHLJKWHGPHDQRIGDWDSRLQWV[ [ « [QRFFXUULQJZLWKZHLJKWV \\« \Q 8VH 0DQGAWRHQWHU [\ SDLUV7KH \YDOXHVDUHWKHZHLJKWVRI WKH [YDOXHV 3UHVV *E Example. $VXUYH\RIRQHEHGURRPUHQWDODSDUWPHQWVUHYHDOVWKDW RIWKHPUHQWIRUSHUPRQWKIRUIRUDQGIRU :KDWLVWKHDYHUDJHPRQWKO\UHQW Keys: Display: Description: *j0.00&OHDUVVWDWLVWLFV...$

$Page 95 8: Additional Examples 95 8 Additional Examples Business Applications Setting a Sales Price 2QHPHWKRGIRUVHWWLQJWKHSHUXQLWVDOHVSULFHLVWRGHWHUPLQHWKHFRVWRI SURGXFWLRQSHUXQLWDQGWKHQPXOWLSO\E\WKHGHVLUHGUDWHRIUHWXUQ)RU WKLVPHWKRGWREHDFFXUDWH\RXPXVWLGHQWLI\DOOFRVWVDVVRFLDWHGZLWKWKH SURGXFW 7KHIROORZLQJHTXDWLRQFDOFXODWHVXQLWSULFHEDVHGRQWRWDOFRVWDQGUDWH RIUHWXUQ 35,&( 727$/&267¸ 180%(52)81,76ï \b571¸ \f\f Example....$

$Page 96 96 8: Additional Examples Forecasting Based on History 2QHPHWKRGRIIRUHFDVWLQJVDOHVPDQXIDFWXULQJUDWHVRUH[SHQVHVLV UHYLHZLQJKLVWRULFDOWUHQGV2QFH\RXKDYHKLVWRULFDOGDWDWKHGDWDDUHILW WRDFXUYHWKDWKDVWLPHRQWKH[D[LVDQGTXDQWLW\RQWKH \D[LV Example. *LYHQWKHIROORZLQJVDOHVGDWDZKDWDUHWKHVDOHVHVWLPDWHVIRU \HDUVVL[DQGVHYHQ Year Sales $ 1 10,000 211,210 3 13,060 4 16,075 5 20,590 Keys: Display: Description: *j0.00&OHDUVVWDWLVWLFVUHJLVWHUV...$

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							7: Statistical Calculations 91
Linear Estimation. 7KHVWUDLJKWOLQHFDOFXODWHGE\OLQHDUUHJUHVVLRQFDQ
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Week Minutes of Advertising
(x-values) Sales
(y-values)
  
  
  
  
  
  
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x
b
Sales in Dollarsm = 425.88
Minutes of Advertising (forecasted)
10B.book  Page 91  Wednesday, June 21, 2000  5:19 PM

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							92 7: Statistical Calculations
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10B.book  Page 92  Wednesday, June 21, 2000  5:19 PM

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							7: Statistical Calculations 93
Weighted Mean
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10B.book  Page 93  Wednesday, June 21, 2000  5:19 PM

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							10B.book  Page 94  Wednesday, June 21, 2000  5:19 PM

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							8: Additional Examples 95
8
Additional Examples
Business Applications
Setting a Sales Price
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							96 8: Additional Examples
Forecasting Based on History
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5 20,590
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10B.book  Page 96  Wednesday, June 21, 2000  5:19 PM

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							8: Additional Examples 97
Cost of Not Taking a Cash Discount
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							98 8: Additional Examples
Loans and Mortgages
Simple Annual Interest
Example.

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							8: Additional Examples 99
Example.

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							100 8: Additional Examples
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10B.book  Page 100  Wednesday, June 21, 2000  5:19 PM

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