Question

Algebra help please (fan&medal)
The table below shows the number of years after the year 2000, and the percentage of people of a country owning homes:
Number of years after 2000 (x) 2 4 5 1 3 7 6
Percentage of people owning homes (y) 24% 32% 36% 20% 28% 44% 40%

What is the correlation coefficient for the data, and what does it represent?

Answer 1

These are the options:
A 0; it represents no correlation between x and y
B 1; it represents a perfectly linear positive correlation between x and y
C 1; it represents a perfectly linear negative correlation between x and y
D -1; it represents a perfectly linear negative correlation between x and y

Answer 2

So, the question is phrased oddly to me, but here is how I would approach it. First, I would put my table in order so that the x coordinates go from lowest to highest. Then have the corresponding y below. I would then see if the slope between points is consistent(is there a pattern)

Answer 3

What have you tried?

Answer 4

Honestly, I'm lost but I do know correlation means there's no cause and effect between the numbers

Answer 5

ok, so let's do it together then, can you number the x's first?

Answer 6

If needed

Answer 7

x: 2, 4, 5, 1, 3, 7, 6
y: 24, 32, 36, 20, 28, 44, 40

Answer 8

@FibonacciChick666

Answer 9

I mean, can you put the x's in numerical order

Answer 10

1,2,....

Answer 11

Oh, I'm sorry! one sec

Answer 12

x: 1, 2, 3, 4, 5, 6, 7
y: 20, 24, 28, 32, 36, 40, 44

Answer 13

alright, good, so now, let's see if there is a pattern to the y's

Answer 14

Can you add the same number to every y to get the next y?

Answer 15

Yes, 4

Answer 16

ok, so, that hints that it is linear

Answer 17

now the question is, do we have a positive correlation, or negative. ie does the y values go up or down

Answer 18

Up so positive, right?

Answer 19

we could write a equation for the line too if we want

Answer 20

yes

Answer 21

so, in general, if you can write an equation that is of the form y=mx+b, then the table is linear

Answer 22

here we can write using point slope form

Answer 23

Would the answer be B?

Answer 24

B 1; it represents a perfectly linear positive correlation between x and y

Answer 25

yeppers

Answer 26

Thank you! Could you help me on another one? I'll open it on a new question

Answer 27

I actually have to go, but tag me and I can tag someone I know capable of assisting