A set of data points has a line of best fit of ý = 2.5x - 1.5. What is the residual for the point (2,5)?
A. 3.5
B. -1.5
C. 5
D. 1.5

D. 1.5

Step-by-step explanation:

A residual is generally a quantity left over at the end of a process. In this case, I am going to say it is the distance from the given line.

f(x) = -1.5 + 2.5x

f(2) = -1.5 + 2.5(2)

f(2) = -1.5 + 5

f(2) = 3.5

distance from (2,5) to (2,3.5):

d = sqrt((delta x)^2 + (delta y)^2)

d = sqrt((2 - 2)^2 + (5 - 3.5)^2)

d = sqrt((0)^2 + (1.5)^2)

d = sqrt((1.5)^2)

d = 1.5 ANSWER

C.) 1.5 for courseapx

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