Question

can someone please help me finish this question? I did it one but I have to revise it... I'll add my teachers response from the first submission.

Question~
Describe the correlation between the U.S. shoe size and the European shoe size.
My Answer~
The European size has a difference of 3 and 2.
My teachers response~
Describe the correlation.

How would I do that?

Answer 1

@jim_thompson5910

Answer 2

So your teacher just repeated the question `Describe the correlation` and didn't say anything else?

Answer 3

yes sir that's all

Answer 4

ummm the question I had before this one may help you, if you would like me to show you it

Answer 5

yes I'd like to see the full question and any other extra stuff needed (like a table of the data values)

Answer 6

ok 1 sec

Answer 7

Question~
1. From the chart above, write the data as ordered pairs.
(x,y) (1,31) (3,34) (5,39) (7,39) (9,41) (11,44)

*question 2 was just a graph that I put the ordered pairs on*

Question
3. Find an equation of the trend line (line of best fit) showing your work.
Equation = y=3/2x+29.5
y1-y2
x1-x2
31-34
1 - 3
=
-3=3
-2=2
M=3/2
31=3/2*1+b
B=29.5
Equation = y=3/2x+29.5

Question
4. Describe the correlation between the U.S. shoe size and the European shoe size.
The European size has a difference of 3 and 2.

Answer 8

@jim_thompson5910 did any of this help at all?

Answer 9

ok let me look over it

Answer 10

are you allowed to use a calculator? finding the line of best fit is a pain to do by hand

Answer 11

yes sir

Answer 12

what kind of calculator do you have?

Answer 13

A graphing calculator

Answer 14

a texas instruments (TI) calculator?

Answer 15

this one~ Ti-84+ graphing calculator emulator ~ I got it from my school website

Answer 16

ok that will work

Answer 17

first enter the data given to you into the lists L1 and L2. Do you know how to do that?

Answer 18

no sir I don't, and I thought I already found the line of best fit?

Answer 19

you only found the line through (1,31) and (3,34)

Answer 20

hit the STAT key

then go into the edit menu and hit enter

Answer 21

oh ok, but my teacher said that I got #3 right (I don't want to sound rude I just want to let you know what she said)

Answer 22

ok then I guess some teachers are ok with using only 2 points, but just a heads up that isn't the true regression line

anyways, let me re-think #4 then

Answer 23

I guess one way is to graph the line and all of the points given to you. If that line is close to all of the points, then the correlation coefficient would be very close to +1. If not, then it will be closer to 0

Answer 24

oh ok, I'm really sorry if this is a trouble for you..

Answer 25

no it's ok

Answer 26

ok so the answer to #4 would be "the correlation coefficient would be very close to +1. If not, then it will be closer to 0"

Answer 27

well it depends on the graph. Did you graph the line and points on the same xy coordinate grid?

Answer 28

yes sir

Answer 29

when I graphed it, I see that the line is fairly close to the other points. It definitely goes through (1,31) and (3,34) perfectly. It doesn't go through the other points, but it gets fairly close

Answer 30

so this suggests the correlation coefficient is close to +1 meaning that the regression line is a fairly good fit. There is a strong correlation between the two sizes

Answer 31

oooh ok, thank you a lot!! you made this very easy!!

Answer 32

no problem