Graphing and residual plot question: Show all work

- Howard-Wolowitz

Graphing and residual plot question: Show all work

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- Howard-Wolowitz

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- xMissAlyCatx

Well you can tell just by the table that the association is positive..

- Howard-Wolowitz

ok so we can agree 6. is positive

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## More answers

- xMissAlyCatx

Yes.

- xMissAlyCatx

I can guide you on finding the correlation, but I can't tell you the answer. What you want to do is find the mean (average) of x and y. Once you have your mean of your "x" values you will subtract the mean from every individual x-value that you have..
For example, if your x-values were 1 2 and 3, the average of those is 2, so you would do (1-2) (2-2) (3-2) etc..

- xMissAlyCatx

Use this as a guide..

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- Howard-Wolowitz

ok I see, but I dont see what to caluucate

- xMissAlyCatx

And this is your scatterplot..

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- xMissAlyCatx

What do you mean? You calculate the numbers in your table..

- Howard-Wolowitz

I know but how do you know what to do them by?

- Howard-Wolowitz

hmm maybe its the operations

- xMissAlyCatx

Well like I said earlier, find your average of x and then average of y..
your average of x is 1.83
your average of y is 2.86
Now you will subtract your average of x from every x-value..
(.3 - 1.83), (.85 - 1.83), (1.50 - 1.83), (2.50 - 1.83), (4.0 - 1.83) and solve those..
so then do the same for y..

- xMissAlyCatx

(.8 - 2.86), (2 - 2.86), (2.5 - 2.86), (3 - 2.86), (6 - 2.86) and solve..

- Howard-Wolowitz

ok give me a second

- xMissAlyCatx

Tell me what you get for the x values, then the y when you get them.

- Howard-Wolowitz

-1.53 , -0.98 , -0.33 , 0.67 , 2.17

- Howard-Wolowitz

-2.06 , -0.86 , -0.36 , 0.14 , 3.14

- xMissAlyCatx

Alright, good.
Now what you need to do next is multiply your x and y values with each other.. so
-2.06(1.53)= ?
-.86(-.98)=?
-.36(-.33)=?
.14(.67)=?
3.14(2.17)=?

- xMissAlyCatx

you will also square your x and y's .. so..
-1.53 squared =?
-.98 squared =?
and so on, but like I said do it for x and y

- Howard-Wolowitz

-3.1518 , 0.8428 , 0.1188 , 0.0938 , 6.8138

- xMissAlyCatx

Now add those up ^ and tell me the final sum of them. And that will be one step out of the way for a moment. (sorry I know it is a lot of work)

- Howard-Wolowitz

4.7174

- xMissAlyCatx

Alrightey. Now go ahead and square your x and y's and then add all the x's together then add all the y's together and tell me what you get.. (almost done!)

- xMissAlyCatx

That's for x, correct?

- xMissAlyCatx

What isn't?

- Howard-Wolowitz

8.42 isnt right

- xMissAlyCatx

Let me grab my calculator and work out the x's and y's. Just go ahead and try the y's and I will check it. :P

- Howard-Wolowitz

ok

- xMissAlyCatx

I got 6.4294 for the x's..

- Howard-Wolowitz

i am getting undefiend for y and x

- xMissAlyCatx

You may be entering them wrong..
I also solved the y's and got 4.7664
So let's just go on from there..

- xMissAlyCatx

So now you have..
4.7174 which is what you got from multiplying x(y) 's
6.4294 from squaring the x's
& 4.7664 from squaring the y's
What you will do next is add up all three of those numbers..

- xMissAlyCatx

So tell me what you get when you add them.

- xMissAlyCatx

@Howard-Wolowitz still there? c:

- Howard-Wolowitz

yes im just thinking about how to do it

- xMissAlyCatx

Just add up 4.7174 + 6.4294 + 4.7664

- xMissAlyCatx

When you add them up you get 15.9132

- Howard-Wolowitz

15.9132

- xMissAlyCatx

Yes.. One more step and you're pretty much done!

- Howard-Wolowitz

Bazinga

- xMissAlyCatx

|dw:1449246599833:dw|

- Howard-Wolowitz

ok let me solve this

- xMissAlyCatx

Yes, whatever you get from this answer will be your correlation :P

- xMissAlyCatx

I got 2.8746
So, what you can conclude from this correlation, is since it is greater than one, it would be a strong positive correlation. :)

- Howard-Wolowitz

7. 2.8746
8. what you can conclude from this correlation, is since it is greater than one, it would be a strong positive correlation

- xMissAlyCatx

Precisely.

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