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: Date Jan 1 Apr 1 Jul 1 Oct 1 Jan 1 Price $20.00 $37.50 $35.00 $32.50 $50.00
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: Date Jan 1 Apr 1 Jul 1 Oct 1 Jan 1 Price $20.00 $37.50 $35.00 $32.50 $50.00
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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Find the value of m, b, and A so that f fits the data.
![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:
Date
Jan 1
Apr 1
Jul 1
Oct 1
Jan 1
Price $20.00 $37.50 $35.00 $32.50 $50.00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb449e86c-4325-4629-81be-ddccdcc6fdc4%2F68ccb15d-4ae1-4bc0-acf5-3230c02d2716%2Fmw9p62_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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:
Date
Jan 1
Apr 1
Jul 1
Oct 1
Jan 1
Price $20.00 $37.50 $35.00 $32.50 $50.00
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What two months would the price land on the slanted midline?
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