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it doesn't really say, but it would probably be for the best.

ok well if you have to do it by hand, it's probably linear.
least square regression?

It doesn't say specifically but that should work.

okay wait I think I misinterpreted what you typed. I have to change the table to find an equation?

right okay I think I follow you a little.

this is making the gears in my head spin lol I know the equation has to be y=mx + b

that's fine. Just start with adjusting the years and we'll go from there

oh that's how you got those, ok.

for that girl you did a table that was x|y|x^2|xy is that what I have to do?

yeah

|dw:1440245393715:dw|

so I did my graph wrong? Or that's a new graph over my original graph?

what spacing would you recommend I use?

I can use the spacing you used for the y axis, but I'm not sure for the x axis.

I'm sorry for being so confused. I'm really trying to understand this

okay I'm gonna need a much bigger graph

okay

Have you done the thing where you subtract 1885 from all the years yet?

is the y axis okay? I went by 2's on there?

yes the y-axis is good

I wasn't sure what you meant by that.

like this
1885 - 1885 = 0
1917-1885 = 32
1919 - 1885 = 34

oh okay well I'll do all those and get back to you okay?

ok.

almost done...

ok

then I need to square the x's and then multiply x and y

oh man yikes okay

I feel like my heads gonna explode.

I just have a really hard time thinking they want an algebra student to do this by hand :/

I've never used spreadsheets before. How do I see the curve in the spreadsheet?

Linear is y = mx + b
Exponential is \(y=ab^x\)

okay gotcha well i'm on the spread sheet now

can you explain to me why it is expo? I don't think we went over that

*until you see the graph

okay let me do all of that

I labeled the two sides of the table (years were x) (y were costs)

okay now what do I do?

stupid question - how do I highlight them w/o highlight the little grey column on the left?

I don't think it matters

ok

okay I did insert and selected chart

i'm in the chart editor

okay

done

do you want me to screencap and upload it to make sure it looks good?

yes please

not sure if that looks right

This is mine

hm seems like I missed something

For the most part it looks right. Maybe one of us made a typo when entering the points

yeah could be. I really don't think they will notice too much. it's fine

I'll leave it to you to check, but we can go on so you know how to get the equation

okay

right

|dw:1440249587962:dw|

The graph on the right is linear functions. They have the same slope everywher

I see

okay

Then go down to where it has TRENDLINE and select EXPONENTIAL
For LABEL select USE EQUATION

okay

then input?

or update I guess

oh yeah hit update

ok

do you see the equation to the right of the graph?

how do I see all of it?

you can make the chart bigger. grab one of the handles on the corner to stretch it

so that's my equation then

yeah mine is 8.66 instead of 9.538
yeah that's the equation.

can you tell me your full equation just incase mine was the one that wasn't 100% correct?

Mine was (8.661E-3)e^(0.03x)

awesome thank you

You should probably write it in decimal form though. So yours would be
0.009538e^(-0.03x)

(move the decimal point left 3 times and drop the E)

math teachers don't generally like E format

don't put it in y=ab^x form?

It is.
a = 0.009538
b = e^0.03

oh okay I see didn't know if y= is relevant or not.

It should be
y = 0.009538e^(0.03x) as your final equation. (the - I put there was a mistake)

okay

so how can I use that equation to predict from 2013-2022 Do I change something in it?

or bring the costs back in?

$0.46

yeah $0.46

You're welcome :)