By definition, a random variable, , needs to have a numerical outcome. Generate a new data series of outcomes, , corresponding the analysts' recommendations as follows: =3.0 if recommendation is "STRONG BUY" =2.5 if recommendation is "BUY" =2.0 if recommendation is "HOLD" =1.5 if recommendation is "UNDERPERFORM" =1.0 if recommendation is "SELL"

Data Below:

This data set is retrieved from I/B/E/S International Inc. It contains buy-sell-hold recommendations for the stock of Boeing Co. (Ticker code "BA")
from a wide cross section of individual professional analyst from the time period between November 1993 and December 2021.
(note: If analyst's name is unknown, it is replaced with "N/A")
Analyst Name	Buy-Hold-Sell Recommendation
FREIDMAN P	BUY
REICH G	STRONG BUY
WHITLOW W	HOLD
RIXE L	HOLD
N/A	HOLD
MUSSER P	BUY
THADHANI A	HOLD
RUBEL H	UNDERPERFORM
MODZELEWSKI J	HOLD
BINDER S	HOLD
N/A	STRONG BUY
MUSSER P	SELL
HACKENBURG F	HOLD
PEIRCE J	STRONG BUY
N/A	STRONG BUY
SIMON J	HOLD
PIZZIMENTI D	HOLD
EARLE C	STRONG BUY
ASERITIS P	HOLD
ASERITIS P	BUY
PEIRCE J	HOLD
WHITLOW W	STRONG BUY
SIMON J	BUY
OBOLENSKY I	HOLD
N/A	BUY
RIXE L	SELL
N/A	STRONG BUY
N/A	STRONG BUY
OBOLENSKY I	BUY
FREIDMAN P	UNDERPERFORM
BINDER S	BUY
RIXE L	HOLD
CAMPBELL J	BUY
N/A	BUY
DEMISCH W	BUY
N/A	SELL
OBOLENSKY I	HOLD
RIXE L	HOLD
FRANKOLA J	BUY
N/A	STRONG BUY
RUBEL H	BUY
LEWIS T	BUY
HACKENBURG F	SELL
LEWIS T	HOLD
CAMPBELL J	BUY
FREIDMAN P	BUY
RIXE L	HOLD
N/A	BUY
HACKENBURG F	HOLD
RIXE L	SELL
N/A	STRONG BUY
OBOLENSKY I	BUY
RIXE L	SELL
RUBEL H	STRONG BUY
BAHL M	HOLD
DEMISCH W	BUY
DEMISCH W	STRONG BUY
HEYMANN N	STRONG BUY
MODZELEWSKI J	BUY
HACKENBURG F	BUY
RIXE L	HOLD
DEMISCH W	BUY
PEIRCE J	STRONG BUY
ASERITIS P	BUY
PEIRCE J	BUY
CHAO P	STRONG BUY
MODZELEWSKI J	STRONG BUY
CHAO P	STRONG BUY
OBOLENSKY I	STRONG BUY
OBOLENSKY I	BUY
HEYMANN N	STRONG BUY
MODZELEWSKI J	BUY
DEMISCH W	STRONG BUY
DEMISCH W	BUY
ASERITIS P	BUY
N/A	BUY
DAVIS B	BUY
STEWART G	BUY
HEYMANN N	HOLD
CAMPBELL J	STRONG BUY
RUBEL H	HOLD
BINDER S	STRONG BUY
ASERITIS P	HOLD
MODZELEWSKI J	STRONG BUY
STEWART G	STRONG BUY
N/A	BUY
LEWINS S	STRONG BUY
ASERITIS P	BUY
MODZELEWSKI J	BUY
OBOLENSKY I	HOLD
LEWINS S	STRONG BUY
MODZELEWSKI J	HOLD
STEWART G	BUY
BINDER S	HOLD
LEWINS S	STRONG BUY
STEWART G	HOLD
KRIEGER G	BUY
KRIEGER G	HOLD
PEARLSTEIN S	STRONG BUY
LOWRY M	STRONG BUY
N/A	STRONG BUY
BUNYANER M	HOLD
MODZELEWSKI J	BUY
KRIEGER G	BUY
CALLAN B	HOLD
AYSCUE J	HOLD
HEYMANN N	BUY
AYSCUE J	BUY
LEWINS S	STRONG BUY
HEYMANN N	HOLD
LEWINS S	HOLD
MODZELEWSKI J	HOLD
CAMPBELL J	HOLD
PEARLSTEIN S	HOLD
STEWART G	UNDERPERFORM
CHAO P	HOLD
N/A	SELL
KRIEGER G	HOLD
ASERITIS P	HOLD
CHAO P	BUY
DEMISCH W	HOLD
MECRAY C	HOLD
KRIEGER G	BUY
N/A	BUY
STEWART G	HOLD
STEWART G	UNDERPERFORM
ROGERS J	BUY
N/A	STRONG BUY
N/A	SELL
MECRAY C	BUY
STEWART G	HOLD
GINSBERG A	STRONG BUY
TORTORA R	HOLD
CHAO P	BUY
CALLAN B	BUY
CAMPBELL J	BUY
SAN PIETRO J	BUY
WOOD H	HOLD
WOOD H	BUY
N/A	HOLD
ABRAMOWITZ W	HOLD
ERNST T	BUY
KELLEHER J	STRONG BUY
ROGERS J	STRONG BUY
MECRAY C	STRONG BUY
WOOD H	STRONG BUY
VACHERESSE M	BUY
N/A	BUY
N/A	STRONG BUY
N/A	STRONG BUY
SANPIETRO J	STRONG BUY
OBOLENSKY I	BUY
N/A	STRONG BUY
ERNST T	HOLD
MECRAY C	BUY
KELLEHER J	HOLD
OBOLENSKY I	STRONG BUY
N/A	BUY
ERNST T	BUY
CAMPBELL J	HOLD
WOOD H	BUY
WOOD H	BUY
CHAO P	STRONG BUY
N/A	BUY
MECRAY C	HOLD
TOOMEY R	STRONG BUY
KELLEHER J	STRONG BUY
RUBEL H	STRONG BUY
NADOL J	HOLD
N/A	BUY
CAMPBELL J	BUY
N/A	STRONG BUY
JACOBS P	BUY
N/A	STRONG BUY
N/A	BUY
SAN PIETRO J	STRONG BUY
ERNST T	HOLD
ERNST T	HOLD
N/A	STRONG BUY
ROGERS J	BUY
WOOD H	HOLD
ROGERS J	HOLD
JACOBS P	STRONG BUY
SANPIETRO J	BUY
JACOBS P	STRONG BUY
KELLEHER J	HOLD
KRIEGER G	BUY
NISBET P	HOLD
N/A	STRONG BUY
BINDER S	HOLD
CAMPBELL J	BUY
KELLEHER J	STRONG BUY
CAMPBELL J	STRONG BUY
CAMPBELL J	BUY
N/A	BUY
JACOBS P	BUY
CHAO/WEINER	BUY
WOOD H	UNDERPERFORM
CALLAN B	STRONG BUY
ROGERS J	UNDERPERFORM
MECRAY C	BUY
WOOD H	BUY
NISBET P	HOLD
N/A	HOLD
CAMPBELL J	BUY
KELLEHER J	SELL
BINDER S	HOLD
CHAO P	BUY
CALLAN B	STRONG BUY
MECRAY C	BUY
N/A	STRONG BUY
NADOL J	HOLD
WHITMORE C	HOLD
JACOBS P	STRONG BUY
CAMPBELL J	HOLD
WOOD H	BUY
PEARLSTEIN S	HOLD
WOOD H	BUY
CHAO P	BUY
MATHER S	HOLD
CHAO P	BUY
PEARLSTEIN S	HOLD
ROGERS J	HOLD
FOTHERGILL N	HOLD
COHEN R	HOLD
TOOMEY R	HOLD
KELLEHER J	STRONG BUY
NISBET P	STRONG BUY
RUBEL H	HOLD
ENGEL G	UNDERPERFORM
NADOL J	UNDERPERFORM
MATHER S	BUY
TOOMEY R	BUY
PEARLSTEIN S	HOLD
HURSON K	HOLD
FOTHERGILL N	STRONG BUY
MECRAY C	UNDERPERFORM
ENGEL G	UNDERPERFORM
COHEN R	HOLD
FOTHERGILL N	STRONG BUY
MECRAY C	HOLD
SPINGARN R	SELL
TOOMEY R	STRONG BUY
KELLEHER J	HOLD
WEINER A	HOLD
HIGGINS J	BUY
JACOBS P	HOLD
CAMPBELL J	BUY
CALLAN B	HOLD
SPINGARN R	HOLD
BETTS S	STRONG BUY
RESEARCH DEPT	HOLD
JACOBS P	SELL
FOTHERGILL N	HOLD
MUROFF J	HOLD
DONOFRIO S	SELL
JACOBS P	HOLD
HIGGINS J	HOLD
ENGEL G	UNDERPERFORM
BETTS S	HOLD
HARNED D	STRONG BUY
RUBEL H	BUY
FOTHERGILL N	STRONG BUY
EMBERSITS J	UNDERPERFORM
WALTON M	HOLD
DONOFRIO S	HOLD
GREMMELS D	HOLD
SPINGARN R	BUY
SUDOL M	STRONG BUY
CALLAN B	STRONG BUY
PEARLSTEIN S	STRONG BUY
DAVIS M	STRONG BUY
CALLAN B	BUY
TOOMEY R	HOLD
FOTHERGILL N	HOLD
BETTS S	STRONG BUY
TOOMEY R	UNDERPERFORM
STALLARD R	STRONG BUY
SAFRAN R	HOLD
TOOMEY R	HOLD
LAHR T	STRONG BUY
SAFRAN R	HOLD
SPINGARN R	BUY
WALTON M	HOLD
GREMMELS D	HOLD
SAN PIETRO J	HOLD
NADOL J	HOLD
EPSTEIN R	STRONG BUY
SILVER D	BUY
JACOBS P	HOLD
FIDLER B	HOLD
HARNED D	HOLD
ARMENT P	BUY
TOOMEY R	UNDERPERFORM
LIEBOWITZ G	STRONG BUY
WOOD H	HOLD
DERCHIN M	HOLD
ARMENT P	UNDERPERFORM
HARNED D	STRONG BUY
WALTON M	HOLD
SPINGARN R	BUY
JACOBS P	STRONG BUY
WOOD H	BUY
COLLINS M	HOLD
TOOMEY R	UNDERPERFORM
ARMENT P	HOLD
NISBET P	STRONG BUY
EPSTEIN R	STRONG BUY
STALLARD R	HOLD
NOURSE H	HOLD
SAFRAN R	HOLD
SAFRAN R	UNDERPERFORM
JAKOBSEN R	STRONG BUY
COPELAND C	BUY
STALLARD R	BUY
JACOBS P	STRONG BUY
WOOD H	BUY
HARNED D	HOLD
KHAN Z	UNDERPERFORM
SPINGARN R	HOLD
RUBEL H	STRONG BUY
STALLARD R	HOLD
WOOD H	BUY
JACOBS P	HOLD
PEARLSTEIN S	HOLD
FOUNG J	BUY
KLEINSCHMIDT P	HOLD
POPONAK N	HOLD
STALLARD R	BUY
JACOBS P	SELL
NISBET P	STRONG BUY
JACOBS P	HOLD
WALTON M	SELL
WOOD H	HOLD
NISBET P	HOLD
JAKOBSEN R	STRONG BUY
CAMPBELL J	HOLD
SAFRAN R	BUY
SAFRAN R	HOLD
STALLARD R	HOLD
WOOD H	HOLD
JAKOBSEN R	BUY
WOOD H	UNDERPERFORM
STALLARD R	BUY
NOURSE H	UNDERPERFORM
NISBET P	STRONG BUY
HERBERT K	HOLD
CAMPBELL J	BUY
HAMILTON A	STRONG BUY
STALLARD R	HOLD
SAFRAN R	HOLD
STASZAK J	STRONG BUY
ARMENT P	BUY
SAFRAN R	STRONG BUY
HAMILTON A	STRONG BUY
LEAKE F	BUY
KELLER E	STRONG BUY
STALLARD R	BUY
WOOD H	UNDERPERFORM
HERBERT K	STRONG BUY
SPINGARN R	BUY
PEARLSTEIN S	STRONG BUY
POPONAK, CFA N	BUY
WOOD H	HOLD
HARNED D	STRONG BUY
WALTON M	BUY
KHAN Z	HOLD
RICHTON J	HOLD
NISBET P	STRONG BUY
STALLARD R	BUY
NELSON B	HOLD
HARNED D	HOLD
WOOD H	HOLD
NADOL J	BUY
STASZAK J	HOLD
HAMILTON A	BUY
ADAMS J	UNDERPERFORM
SKIBITSKI P	STRONG BUY
NOURSE H	HOLD
DAKA A	HOLD
FOUNG J	BUY
LEAKE F	STRONG BUY
RICHTON J	BUY
RESEARCH DEPA	BUY
ADAMS J	HOLD
DERCHIN M	BUY
REINER Y	HOLD
DIHORA N	HOLD
WHITTINGTON R	BUY
ARMENT P	BUY
WOOD H	BUY
LEWIS M	BUY
KHAN Z	UNDERPERFORM
LEVENSON S	HOLD
NEIDL R	BUY
FOUNG J	BUY
GABRIEL N	STRONG BUY
LEVENSON S	STRONG BUY
HARNED D	STRONG BUY
REINER Y	STRONG BUY
DIHORA N	HOLD
COPELAND C	BUY
HERBERT K	HOLD
LEAKE F	HOLD
LEAKE F	SELL
LEAKE F	HOLD
FEINSETH I	HOLD
HUGEL E	BUY
LEAKE F	STRONG BUY
KHAN Z	HOLD
FOUNG J	BUY
GODYN J	BUY
HUGEL E	BUY
HERBERT K	STRONG BUY
SAFRAN R	HOLD
REINER Y	HOLD
RESEARCH DEPA	HOLD
POPONAK, CFA N	HOLD
KEAY H	STRONG BUY
KEAY H	HOLD
SKIBITSKI P	BUY
STALLARD R	HOLD
SAFRAN R	STRONG BUY
GODYN J	BUY
GODYN J	BUY
SAFRAN R	HOLD
EPSTEIN R	HOLD
KALTMAN J	STRONG BUY
SAFRAN R	SELL
SPINGARN R	HOLD
NIELSEN N	STRONG BUY
POPONAK, CFA N	UNDERPERFORM
DERCHIN M	BUY
SEIFMAN S	BUY
FEINSETH I	BUY
ARMENT P	BUY
PEARLSTEIN S	HOLD
SEIFMAN S	HOLD
SAFRAN R	HOLD
HERBERT K	HOLD
KEE T	UNDERPERFORM
EPSTEIN R	UNDERPERFORM
LALWANI R	BUY
SINHA A	BUY
STALLARD R	HOLD
SULLIVAN J	BUY
MCCONNELL M	UNDERPERFORM
FEINSETH I	BUY
SULLIVAN J	BUY
SAFRAN R	SELL
RUBEL H	HOLD
LALWANI R	HOLD
RUBEL H	STRONG BUY
GOLLAN A	BUY
SEIFMAN S	BUY
EPSTEIN R	HOLD
MCCONNELL M	HOLD
SPINGARN R	BUY
POPONAK, CFA N	HOLD
EPSTEIN R	STRONG BUY
SAFRAN R	HOLD
CZERWENSKY R	HOLD
COPELAND C	STRONG BUY
DONIE W	HOLD
KEAY H	STRONG BUY
KEAY H	HOLD
KEAY H	STRONG BUY
STALLARD R	HOLD
FEINSETH I	BUY
STRAUSS D	BUY
STALLARD R	BUY
GUPTA N	BUY
DONIE W	STRONG BUY
DONIE W	HOLD
SKIBITSKI P	BUY
LALWANI R	BUY
MINERVINO C	BUY
CZERWENSKY R	SELL
DONIE W	SELL
LEE S	BUY
EADE J	HOLD
FEINSETH I	BUY
EPSTEIN R	HOLD
SKIBITSKI P	HOLD
STRAUSS D	HOLD
POPONAK, CFA N	HOLD
KEAY H	HOLD
SPINGARN R	HOLD
OLIN C	UNDERPERFORM
GOLLAN A	HOLD
STALLARD R	HOLD
COPELAND C	BUY
SULLIVAN J	BUY
SEIFMAN S	HOLD
DONIE W	HOLD
POPONAK, CFA N	BUY
EADE J	STRONG BUY
DONIE W	SELL
EISEN M	BUY
BRAGG J	HOLD
SAFRAN R	BUY
GOLLAN A	UNDERPERFORM
HARNED D	HOLD
KEAY H	SELL
LIWAG K	UNDERPERFORM
KEAY H	HOLD
SKIBITSKI P	BUY
OLIN C	HOLD
DONIE W	HOLD
JAIN N	BUY
KEAY H	SELL
CZERWENSKY R	STRONG BUY
BRAGG J	UNDERPERFORM
HARNED D	SELL
OLIN C	UNDERPERFORM
GOLLAN A	HOLD
DONIE W	SELL
LIWAG K	BUY
HERBERT K	STRONG BUY
JAIN N	HOLD
LIWAG K	BUY
OLIN C	BUY
AKERS M	HOLD
HARNED D	HOLD
KEAY H	HOLD
SAI N	HOLD
DONIE W	HOLD
SAI N	BUY
NOVICHKOV D	UNDERPERFORM
HARNED D	STRONG BUY
RESEARCH DEPA	BUY
N/A	STRONG BUY
DONIE W	SELL
PYREVA N	BUY
AKERS M	BUY
SEIFMAN S	BUY
SPINGARN R	BUY