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Use the method of group averages and find a curve of the form y =mx pwr n that fits the following data. x 10 2?
Use the method of group averages and find a curve of the form y =mx pwr n that
fits the following data.
x 10 20 30 40 50 60 70 80
y 1.06 1.33 1.52 1.68 1.81 1.91 2.01 2.11
/ please help I am unable to get this answer
Hello
I do not exactly understand, what you mean by group averaging.
When I use the first and the last pair of x/y, I get this:
y = mx^n
1) 1,06 = m*10^n
2) 2,11= m*80^n
1) n = (log1,06 - logm)/log10
2) n = (log2,11 - logm)/log80
(log1,06- logm)*log80 = (log2,11-logm)*log80
solution: m = 0,494591
1,06 = 0,494591*10^n
n*log10 + log0,494591 = log1,06
solution: n = 0,33106
==> y = 0,494591*x^0,33106
When I plug in 10,20...80 for x, I get
y(10) = 1,06
y(20) = 1,33341
y(30) = 1,52497
y(40) = 1,67735
y(50) = 1,80596
y(60) = 1,91832
y(70) = 2,01876
y(80) = 2,11000
I think, what you wanted to do is like to use 4 different pairs, and then average. But that should probably not be a lot different to what is shown here.
Regards
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