5. The scatterplot below shows data for the nine french fry orders from the previous problem, with the least-squares regression line displayed. Which of the following is the best estimate of the value
of the residual for the point indicated by the arrow?
620
560
calories
500
+
440
00
380
8 12 16 20 24 28 32 36
fat
(A) -570
(B) 570
(C)-60
(D) 60
(E) 630

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: