Question

A set of data points has an equation of = -1.5 + 2.5x.

What is the residual for the point (2, 5)?

A. 3.5
B. 5
C. -1.5
D. 1.5

Answer 1

that doesnt make sense

Answer 2

x = 2

means

you can replace "x" with "2" whenever x shows up

Answer 3

now find y

Answer 4

oh okay i understand

Answer 5

y = -1.5 + 2.5x.

Answer 6

what is y?

Answer 7

wait so i plugged in 2 for x and then got y=-1.5-5

Answer 8

then i got -6.5

Answer 9

im still confused

Answer 10

i made a typo in the first equation

Answer 11

y = -1.5 + 2.5x. = ?

Answer 12

what do i solve for @Vocaloid

Answer 13

y

Answer 14

what is y when x = 2?

Answer 15

i got 3.5

Answer 16

is that correct?

Answer 17

yes

now, this value tells us the "predicted" value

the point (2,5) from the original problem is the "actual" value (y = 5)

so, to find the residual we do

actual - predicted = 5 - 3.5 = 1.5

Answer 18

and that's it