anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
looks like a prime candidate for the ti83
amistre64
  • amistre64
but then im not sure what the last line means for this
amistre64
  • 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
  • amistre64
otherwise, it gets complicated, but excel or some spreadsheet makes life simpler for us
anonymous
  • anonymous
ok I am trying now
anonymous
  • anonymous
I cant get it
anonymous
  • anonymous
This is my last question that I am having issues with
amistre64
  • 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
  • anonymous
I tried but I am getting the wrong data input
anonymous
  • anonymous
Please please help me on this one
amistre64
  • amistre64
ive got a spread sheet worked out hold on
anonymous
  • anonymous
Thank you so much!!!
amistre64
  • amistre64
ok, this is what im getting, and ill explain it
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anonymous
  • anonymous
Okay thank you bc that looks confusing lol
amistre64
  • 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
  • amistre64
now i dont know what your program is wanting as far as how many decimal places to rnd to
amistre64
  • amistre64
i cut it off at 3 decimals
amistre64
  • amistre64
and I have no idea what this is refering to: Use the significance level of 0.05
anonymous
  • anonymous
So, it should then say ŷ = (2.356 ) + ( 268.04)x
amistre64
  • 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
  • anonymous
it says two decimal places
amistre64
  • amistre64
ŷ = (avgY-m.avgX ) + (m)x ŷ = (268.04 ) + ( 2.36)x
anonymous
  • anonymous
Ugh it said it wasn't right
amistre64
  • amistre64
the equation itself is all i can answer to, the rest of it ... i havent a clue about.
anonymous
  • anonymous
did you find the best predicted value?
amistre64
  • amistre64
y^ is the best predictor
amistre64
  • amistre64
when we formulate the regression line, we then use it for x=96
amistre64
  • amistre64
well, 92 in this case
amistre64
  • 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
  • anonymous
ŷ = (47.87 ) + ( 0.25)x what about from this?
amistre64
  • amistre64
ok, an online calculator says ive got an error in the y intercept slope is fine tho
amistre64
  • amistre64
got it now, i erred in multiplyng :) y = m(x-X) + Y y = mx -mX + Y ^^^^ i ignored the negative of it
amistre64
  • amistre64
this is the correction y = 2.36x - 73.54

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