- #1
Helpeme
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Homework Statement
number of years(x): [1,2,3,4,5,6,]
number of accidents(y): [12,6,5,4,2,2]
or
(1,12),(2,6),(3,5),(4,4),(5,2),(6,2)
Homework Equations
the relation between x and y is on the form: y = a + b(1/x)
by changing (1/x) to z, the model become linear instead of inverse.
use this to 'find' a and b
The Attempt at a Solution
y = a+b(1/x)
z = 1/x
y = a+bz
matrix A = [(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)]
vector y = [12,6,5,4,2,2]
vector x = [a,b]
finds a solution to ATAx = ATy
6a + 21b = 31
21a + 91b = 77
a = 11.4557
b = -1.8
y = 11.4667 - 1.8/x
but this is wrong the right answer is:
y = 0.3914 + 11.6945/x
i think my problem is how to deal with z and 1/x.