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Question 115837This question is from textbook Algebra For college students
: Hello I need some help.
As the number of farms has decreased in llinios, the average size of the remianing farms has grown larger,as shown below
Year Average Acreage per farm
1900 127
1910 119
1920 135
1930 137
1940 155
1950 196
1960 283
1970 353
1980 406
1990 440
2000 420
let x represent the number of years since 1900. Use a graphing calculator to fit a function to the data. Select the model which gives best fit. Write the equation , the coeffienct of determination, and estimate to nearest arce the average acreage in 2011. Use regression feature in calculator. This problem is really hard can anyone help me thanks
This question is from textbook Algebra For college students
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Put the data in L1, L2
Run the regressions against L1,L2
Look for the result with the highest "r" value.
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I find the QuartReg gives the highest r but gives a "0"
coefficient of the x^4 term. So I switched to the CubicReg
and got:
f(x) = -0.001x^3 + 0.196x^2 - 5.298x + 143.552
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coefficient of determination = ??
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f(2011) is negative using the cubic but positive using the
QuadReg which is f(x) = 0.025x^2+1.211x + 102.587
and gives f(2011) = 103641 which doesn't sound very reasonable.
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Good luck on this.
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Cheers,
Stan H.
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