From its past behavior, John knows that the value of a stock has a cyclical component thatincreases for the first three months of each year, falls for the next six, and rises again forthe last three. In addition, inflation adds a linear component to the stock's price. John isseeking a model of the formf(t) = mt + b + A sinwith t in months since Jan 1. He has the following data in the table:Jan 1 Apr 1 Jul 1Price $20.00 $37.50 $35.00 $32.50 $50.00DateOct 1Jan 1a) What is the length of the period in his model?b) Determine two months when the Price is on the slanted midline.c) Find value of m, b, and A so that f fits the data.

Answered: ee. In addition, inflation a nodel of…

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ee. In addition, inflation a nodel of the form

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Question

From its past behavior, John knows that the value of a stock has a cyclical component that
increases for the first three months of each year, falls for the next six, and rises again for
the last three. In addition, inflation adds a linear component to the stock's price. John is
seeking a model of the form
f(t) = mt + b + A sin
with t in months since Jan 1. He has the following data in the table:
Jan 1 Apr 1 Jul 1
Price $20.00 $37.50 $35.00 $32.50 $50.00
Date
Oct 1
Jan 1
a) What is the length of the period in his model?
b) Determine two months when the Price is on the slanted midline.
c) Find value of m, b, and A so that f fits the data.

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What two months does the price land on the slanted midline? Not between which two months. Thank you.

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