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Lecture 35

35.pdf


Department
Statistics
Course Code
STATS 2B03
Professor
C
Lecture
35

Page:
of 1
Supposethatweareinterestedinseeingwhichhealthfactors(e.g.weight,age,exercisestatusaffectbloodpressure())
Weassumethatthereissometrue(butunknown)linearrelationshipbetweenandpredictorvariables,
,…,



,…,
Givensampledata,wewanttogetestimates
,
,…,
andmakepredictions


⋯
Let
̂


Thevaluesof
,
,…,
whichminimize
̂
 arecalledthe leastsquaresestimates of,
,…,
Theresultingequation


⋯
iscalledtheleastsquaresregressionequation
Example FromtheDatabankdataset
  


ThenfromMinitaboutput#25onpage74ofthecoursewareisforthemodel


Fromtheoutputweseethat
87.899  0.15292 0.50520
e.g.ifsomeoneis38yearsofageandweighs200lbs,thentheirbloodpressureispredictedtobe
87.899  0.15292
200
 0.50520
38
 137.68
10.3TheMultipleRegressionEquation
November2012 11:32AM
Stats 2B03 Page 1