VariablesWatch

#1
Variables x and y are thought to be related by the law y = a + bx^2. Determine the values of a and b that best fit the set of values given:

x 5.0 7.5 12.0 15.0 25.0
y 13.1 28.1 70.2 109.0 301.0

So how would I approach this ? Any tips? Cheers
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10 years ago
#2
Perhaps a regression of y against x² would work?
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10 years ago
#3
This is probably cheating, but still...
(Knowing that the line is a quadratic) You can find the gradient using the points (5, 13.1), (15, 109) and (25, 301)
Then use dy/dx = 2b, and finding a should be easy from there.
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