- anonymous

Please I really need help
Can someone help me if I type it all out? Posts longer than 2 sentences on here seem to scare people on here, but I will fan and medal.

- katieb

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- arindameducationusc

which data?

- arindameducationusc

regression, never tried.
But I am good with equations and straight lines
I will try

- anonymous

I am going to type it, I seem to keep scaring people off with my table and work.

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## More answers

- anonymous

I'm just going to lay it all out okay?

- arindameducationusc

haha

- anonymous

that's all my work

- arindameducationusc

okay.... I will try okay.. I cant guarantee, but I will do my best

- anonymous

thank you so much it means so much to me. I am so stressed about this

- arindameducationusc

Are you taking x as 'avrge weekly paycheck'?

- anonymous

yes

- anonymous

@peachpi can you help at all?

- arindameducationusc

Rate of change are absolutely correct, ya but the graph...!! hmmm...
let me think.....

- anonymous

the line regression has to be least squares or line of best-fit

- arindameducationusc

@lostinrome
Is your cell phone android...
I can give you a name of a software which deals with regressions

- anonymous

I'm on my laptop right now

- anonymous

^ I was just going to ask if this has to be done by hand. Excel does linear regression

- anonymous

yeah I have to come up with an equation (this whole thing is all on paper)

- arindameducationusc

I graphed it in my mobile, should I send you the screen shot?

- anonymous

I'm not sure where to even start the linear regression and how I get an equation from it

- arindameducationusc

equation I am getting -1.951402x+1040.6445224

- anonymous

I haven't done this in years. I'm looking some equations up

- anonymous

I don't have excel on my laptop so I can't use that

- arindameducationusc

@phi is a very helpful person. He will help once he is online, just keep the question open

- anonymous

this is bad I really don't know what to do and I'm like freaking out

- anonymous

when does @phi come on usually?

- arindameducationusc

Don't know actually, but he will help. He has helped me a lot in my complicated problems!

- anonymous

Fill in the table. In the third column, square the x values. In the fourth, multiply x and y.
Add up the numbers in each column for the box at the bottom
|dw:1440211191451:dw|

- anonymous

okay let me see

- anonymous

yes

- anonymous

Once we have the table filled in these are the formulas we're going to use to write the line in y = ax + b format
|dw:1440211851554:dw|

- anonymous

i'm still typing in the table so give me a sec

- anonymous

|dw:1440211921215:dw|

- anonymous

okay now to write the line in y = ax + b format

- anonymous

so how do we apply the table to those formulas

- anonymous

I've seen those formulas before, but have a hard time understanding them.

- anonymous

ok so now we're going to use the sums at the bottom of the table. To put each sum in the right place, you just need to pay attention to the x's and y's and their exponents
n is the number of points, so
\(n = 6\)
\[\sum_{i=1}^{6}x_i=96\]
\[\sum_{i=1}^{6}y_i=5695\]
\[\sum_{i=1}^{6}x^2_i=1606\]
\[\sum_{i=1}^{6}x_iy_i=99055\]
Putting all that into the equation for a we get
\[a=\frac{ 6(99055)-(96)(5695) }{ 6(1606)-(96)^2 }\]

- anonymous

okay that makes sense

- anonymous

a = 1587/14 ?

- anonymous

yes :)

- anonymous

now for b
\[b=\frac{ 1 }{ 6 }\left( 5695-\frac{ 1587 }{ 14 }(96) \right)\]

- anonymous

At this point you might find it easier to change these to decimals and round to 2 or 3 decimal places

- anonymous

I'm having trouble finding the decimal for b

- anonymous

b=(1/6)(5695-10882.29)
=(1/6)(5187.29)
= -864.55

- anonymous

yeah

- anonymous

y = 113.35x + -864.55

- anonymous

what do i do for the x in there?

- anonymous

the x stays. It's part of the equation

- anonymous

okay thought so. Wait was this whole thing in least squares or line of best-fit?

- anonymous

least squares

- anonymous

from excel
|dw:1440214055244:dw|

- anonymous

okay and now for my millionth question, I have to get the slope of this equation we came up with and compare to the rate of change values I did.

- anonymous

I'm going to try and find the slope.

- anonymous

The slope is the "a" we found 113.36

- anonymous

oh slope of y = 113.35x + -864.55 is 113.36? Okay

- anonymous

oh, ok. it should have been rounded up to 113.36

- anonymous

so slope is 113.36

- anonymous

Yes. And for the rates of change you found above, you ended up with the right results, but the equations are backwards.
For example the first one should be
m= (810 - 585)/(15-13)
m = 225/2
m = 112.5

- anonymous

Oh one more thing if you don't mind or if @arindameducationusc can pitch in if @peachpi is tired of me lol

- arindameducationusc

hehe :D

- anonymous

It looks like the x's were years of schooling, so plug in 23 for x in the equation you found and solve for y

- anonymous

right

- anonymous

You are awesome. Thank you again!

- anonymous

I want to give you like 50 medals

- anonymous

lol you're welcome

- anonymous

yeah that's the right formula. Maybe you just typed them in reverse up top, because you ended up with the right numbers at the end

- anonymous

Yeah looking back I think that's what happened.

- anonymous

ok cool

- anonymous

:)

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