Question 28497
Find a linear model for the given set of data. Explain your thinking process in arriving at the equation. 
x     -2        0       1       3       4
f(x)   8        2      -1      -7      -10

SINCE IT IS A LINEAR MODEL IT MEANS F(X)=AX+B = Y...SAY ..WHERE A AND B ARE CONSTANTS..SO PUT ANY 2 SETS OF VALUES FOR X AND Y AS GIVEN IN THE ABOVE EQUATION AND FIND A AND B.LET US TAKE 
x     -2        0    
f(x)   8        2  
SO WE GET 
8=A*(-2)+B..................I
2=A*0+B..........II...OR B=2...SUBSTITUTING IN I WE GET ...
8=-2A+2
2A=2-8=-6
A=-3...SO....
Y=F(X)=-3X+2...LET US CHECK FOR OTHER VALUES WHETHER LINEAR MODEL IS CORRECT OR NOT...
X=1....Y=-3+2=-1....OK
X=3....Y=-3*3+2=-7.....OK
X=4....Y=-3*4+2=-10.....OK