UNR, MATH/STAT 352, Spring 2007. Definition: Corollary:

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Presentation transcript:

UNR, MATH/STAT 352, Spring 2007

Definition: Corollary:

UNR, MATH/STAT 352, Spring 2007 Perfect linear relation Y = - X Observations Line Y = - X

UNR, MATH/STAT 352, Spring 2007 Approximate linear relation: Y = -0.8 X +  Observations Line Y = X

UNR, MATH/STAT 352, Spring 2007 No linear relation Observations Line Y = 0

UNR, MATH/STAT 352, Spring 2007 Observations Line Y = 0.8X Approximate linear relation: Y = 0.8 X + 

UNR, MATH/STAT 352, Spring 2007 Observations Line Y = X Perfect linear relation: Y = X

UNR, MATH/STAT 352, Spring 2007  =1  =-1 If  = ±1 then Y = ± X + c, c - constant If -1<  then various scenarios are possible…

UNR, MATH/STAT 352, Spring 2007  = 0

UNR, MATH/STAT 352, Spring 2007  = 0.7