Question

*MEDAL*

Which equation best represents the regression line for the data given in the table below?

x | y
1 | 13
2 | 17
3 | 14
4 | 8
5 | 3
6 | -2
7 | 2

(Choices):
y = -3x - 20
y = -3x + 20
y = 3x + 20
y = 3x - 20

Answer 1

Do we know if this is indeed a line?

Answer 2

is there a quick way of telling without having to graph it?

Answer 3

Well, I have a way in mind... but it will only work if this is a straight line, which I am assuming that it is.

Answer 4

The choices kind of sum-up that it's a line :P

Answer 5

Ok, so my method is a little involved... but hey, you have time right? :P

Answer 6

Yes, im good!

Answer 7

Wait, this is a data plot... where you would plot all the points and then find a line that fits it the best.

Answer 8

Should I graph these then?

Answer 9

Well, plot the points.

Answer 10

There is a complex formula that I could give you... but I dunno if you'd want to use that.

Answer 11

eeeh, well, if there's an easiler way of doing it...

Answer 12

Not really easier..... just different.

Answer 13

Which ever one you think would work the best!

Answer 14

:D

Answer 15

\[
m=\frac{17-13}{2-1}=4
\]

Answer 16

But it's better to do the first and last point. \[
m=\frac{2-13}{7-1}=-\frac{11}{6}
\]

Answer 17

\[(y=-3x+20)\]

Answer 18

So then, the slope is 11/6? What do I use 11/6 for? :o

Answer 19

the graph

Answer 20

Oh I see!
Thanks @wio @TravisCobb and @austinL

Answer 21

Sorry about that @NobodySpecial I got distracted :(
Did you get to the answer?

Answer 22

It's all good, @austinL :)
yes, i got it.

Answer 23

Coolio!

Answer 24

good