linear models and equations

Question

x=2, 4, 6, 8    y=15, 30, 50, 65  find a equation for the line you drew. use your equation to determine x=3, 5, 7 find for y.

Answer 1

Best linear model: y-40=(25/3)(x-5)

x=3 y=65-(125/3)=70/3

x=5 y=40

x=7 y=(50/3)+40=170/3

 

Note: The symmetry of this linear model ensures that any other linear model is insufficient.