Question

The scatter plot shows the linear model for Variable A and Variable B.

What is a possible value for Variable A when Variable B is 3?


???

http://static.k12.com/calms_media/media/1549000_1549500/1549029/1/20e9d3aae95e260a141a8a44aa1fd3b39b9703e4/MS_IMC-141015-1081512.jpg

Answer 1

@k_lynn

Answer 2

@Data_LG2

Answer 3

@Miracrown

Answer 4

Your thoughts?

Answer 5

I really don't know sorry :\

Answer 6

No need to be sorry, its all good! The least square line is given, can you see that?

Answer 7

So first we need to find the equation of that line
let x be A and y be B

Answer 8

Ok

Answer 9

x => variable A
y = variable B
this line should have the following form
\[y \space = mx \space+b\]
where m = slope and b = y intercept

So first of all, can you tell me what is b = ?

Answer 10

9?

Answer 11

Or no nvm sorry

Answer 12

11?

Answer 13

Yep!

Answer 14

Oh ok

Answer 15

http://prntscr.com/6lt7m7

Answer 16

now m... since this line is decreasing we certainly have a negative slope
right?

Answer 17

Yup yup

Answer 18

and we know that m = rise/run ?

Answer 19

Yup yup

Answer 20

So what is rise/run?

Answer 21

Wouldn't we rise 11 and run 11?

Answer 22

I think because it starts from 11 to 11 right?

Answer 23

Yes Yes

Answer 24

but should be negative since it is decreasing thus ...

Answer 25

???

Answer 26

@Miracrown you there?

Answer 27

Uhmmmm o.o

Answer 28

Sorry, the lag is real ;-;

Answer 29

I know keeps messing up for me too

Answer 30

Anyhow, you were correct 11 to 11 but should be negative since
it is decreasing thus ..

\[m \space = - \frac{11 }{ 11 } \space = -1\]
so m = -1

Answer 31

So -1 is my answer?

Answer 32

Nope, not yet. There's still 1 more step 2 go ... So the equation is now: \[y \space = -x + 11\]
Lets go back to the original question now ...
B ---> y and
A ---> x
we plug y = 3 and solve for x that would give us the value of A

Answer 33

3=-1+11?

Answer 34

-1 + 11 does not = 3 check your calculations

Answer 35

Nvm is it 8?

Answer 36

Yep :) So x = ?

Answer 37

x=8?

Answer 38

Right

Answer 39

Yay! thanks so much!

Answer 40

Nw