Question

a set of points has an equation of y^ = -1.5 + 2.5x. What is the residual for the point (5,12)

Answer 1

dont know what residual is

Answer 2

@SmoothMath can u help?

Answer 3

Residual is how far from the curve a point is.

I'm a little worried about your notation here. Why did you type y^ = ?

Answer 4

Is there supposed to be an exponent there?

Answer 5

Ooooh, is that supposed to be \(\Large \hat{y}\)?

Answer 6

You're totally not here. Lol. Talkin' to myself in an empty roooom =0

Answer 7

Anyways, your \( \Large \hat{y}\) function is an estimate of what y will be.
The point is (5, 12). That is, at x=5, y=12. What does your \( \Large \hat{y}\) function predict that y will be when x is 5? How close is that to 12?

\[\Large \text{Residual} = 12- \hat{y}(5)\]

Answer 8

Good explanation.

Answer 9

Thanks =)

Answer 10

No, thank you. I really get it now.

Answer 11

You're welcome. I'm just glad I could help. =D

Answer 12

hahaha ^5

Answer 13

High five!

Answer 14

regresson diagnostic...

Answer 15

I've been only posting links to lectures and explanations... encouraging that "reading" is fundamental... even for math

Answer 16

That's somewhat legitimate. A lot of students come on here and ask questions without putting any initial effort in themselves of trying to understand it.
Sometimes those outside sources aren't enough though and the student really needs a person to interact with. That's what's nice about OS. Unfortunately, many students think that what's nice about OS is getting answers effort-free.

Answer 17

regresson diagnostic...