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Exponential and Geometric Model
Exponential model
y = abx
Take log of both sides
log y = log a + log bx
log y = log a + xlog b
Assume log y = Y and log a = A and log b = B
Hence we get Y = A + Bx. It is a linear regression model
Geometric model
y = axb
By using the similar technique as above
log y = log a + b log x
Y = A + bX
Whereas Y = log y
A = log a
X = log x
By using linear regression technique or the method of least squares, it is possible to calculate the value of a and b.
Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai
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TRIGONOMETRY : "The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth." Example:
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