1. UNR, MATH/STAT 352, Spring 2007

2. Definition: Corollary:

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

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

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

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

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

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

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

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