Question

hekppppp

Answer 1

@Vocaloid @Shadow @Zepdrix

Answer 2

so the "least squares regression line" is the that goes through the general middle of the collection of points so that about an equal number of points are above and below the line.

but that's a lot of words, so here's a picture x'D

Answer 3

in this picture you can see that the line has one point off of it, but above it
then a balancing point also not on the line, but below it

Answer 4

there are two ways I would personally solve this problem

the first way works banks on the fact that these types of problems want to go easy on you, which is to say that the slope between the first and last points is usually the "least squares regression line" :P
so find the slope between the points (1, 1) and (4, 10)

Answer 5

the second way would work most of the time (better than the first way)
and that would be to find the slope between each consecutive point

that is the slope between (1, 1) and (2, 3)
then slope between (2, 3) and (3, 7)
then between (3, 7) and (4, 10)

then average the slope to get the slope of the line you want
[the number would be the same as the first method in this question, but that might not always be true]

Answer 6

I know I just used a lot of words
so if you get confused with anything, feel free to ask ^_^

Answer 7

SO we will basically just find the slope

Answer 8

yup
but realize that the slope between each point is different

the slope between (1, 1) and (2, 3) is 2
while between (2, 3) and (3, 7) is 4
etc

Answer 9

Wait! Is the equation point slope?

Answer 10

nope, y = mx + b
or in this case
y = a + bx
is slope intercept form

Answer 11

for (3,7) and (4,10) the slope is 3

Answer 12

yes, then average the slopes we found

find the average of: 2, 4, 3

Answer 13

9/3

Answer 14

which is 3

Answer 15

so the slope for the line you are trying to find is: 3

Answer 16

so we have
y = a + 3x

to find a, we can substitute (1, 1) for (x, y)

Answer 17

a=3?

Answer 18

how did you get that? :)

Answer 19

umm

y=a+3x
1=a+3(1)
1=a+3
1=3a
1/3=3a/3 3 cancels out

Answer 20

ohh is it 1/3?

Answer 21

why is
1 = a + 3
turned into
1 = 3*a
?

Answer 22

ohhhh I see what I did wrong

Answer 23

I have to subtract 3 fro both sides??

Answer 24

correct! :)

Answer 25

a=-2?

Answer 26

yup!
so you got your equation now :)

Answer 27

so the full equation is?

Answer 28

plug in a = -2
and slope = b = 3

into
y = a + bx

Answer 29

y=-2+3x

Answer 30

right? :/

Answer 31

there you go! :D

Answer 32

can you just help me check the question before this, for some reason I am having doubts it Is incorrect

Answer 33

sure

Answer 34

I got a slope of about 1.666 when I took the averages?

average of: 2, 1, 3, 1, 3, 1, 1, 1, 2

Answer 35

okays so would that be the answer

Answer 36

I think so :3