Whats the regression equation???
Height: 115, 124, 75, 75, 130, 74, 98, 87
Interval after min: 84, 78, 65, 69, 81, 72, 65, 66
Current eruption has a height of 92ft
Use the significance level of 0.05.
ŷ = ( ) + ( )x

- anonymous

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- amistre64

looks like a prime candidate for the ti83

- amistre64

but then im not sure what the last line means for this

- amistre64

input your values into list 1 and list 2
there is a function on your ti83 that will then give you the regression line.

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- amistre64

otherwise, it gets complicated, but excel or some spreadsheet makes life simpler for us

- anonymous

ok I am trying now

- anonymous

I cant get it

- anonymous

This is my last question that I am having issues with

- amistre64

yeah, its a bit complicated, but listing them is the key ....
by hand, we would need to know more complicated results
sum of x^2
sum of y^2
sum of xy
sum of x
sum of y
average x
average y
and number of ordered pairs.

- anonymous

I tried but I am getting the wrong data input

- anonymous

Please please help me on this one

- amistre64

ive got a spread sheet worked out hold on

- anonymous

Thank you so much!!!

- amistre64

ok, this is what im getting, and ill explain it

##### 1 Attachment

- anonymous

Okay thank you bc that looks confusing lol

- amistre64

we want to utilize the point slope formula, our point (avgX, avgY) and a slope that is determined by the formula:
\[m=\frac{n\sum xy-\sum x\sum y}{n\sum xx-\sum x\sum x}\]
as such:
\[\hat y=avgY+m(x-avgX)\]
\[\hat y=avgY-m.avgX~+mx\]
i used the spreadsheet to make all these calculations
m = 2.356
avgY-m.avgX = 268.040

- amistre64

now i dont know what your program is wanting as far as how many decimal places to rnd to

- amistre64

i cut it off at 3 decimals

- amistre64

and I have no idea what this is refering to: Use the significance level of 0.05

- anonymous

So, it should then say ŷ = (2.356 ) + ( 268.04)x

- amistre64

that is what i would use for it, but again, i dont know what your course uses as a rnding of decimals. I used 3 places.

- anonymous

it says two decimal places

- amistre64

ŷ = (avgY-m.avgX ) + (m)x
ŷ = (268.04 ) + ( 2.36)x

- anonymous

Ugh it said it wasn't right

- amistre64

the equation itself is all i can answer to, the rest of it ... i havent a clue about.

- anonymous

did you find the best predicted value?

- amistre64

y^ is the best predictor

- amistre64

when we formulate the regression line, we then use it for x=96

- amistre64

well, 92 in this case

- amistre64

if i had excel, it would allow me to verify the line, but i have something else on this computer ... guess i can use a website

- anonymous

ŷ = (47.87 ) + ( 0.25)x what about from this?

- amistre64

ok, an online calculator says ive got an error in the y intercept
slope is fine tho

- amistre64

got it now, i erred in multiplyng :)
y = m(x-X) + Y
y = mx -mX + Y
^^^^
i ignored the negative of it

- amistre64

this is the correction
y = 2.36x - 73.54

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