The income of a small business for several years is given in the table below. Thousands of Year Dollars 2000 17.4 2001 59.8 2002 71.2 2003 71 2004 63.2 2005 60.2 2006 77.6 2007 115.4 a) Perform regression to find a cubic polynomial that fits the data. Use years since 2000 as your inputs x. p(z) docimal places
The income of a small business for several years is given in the table below. Thousands of Year Dollars 2000 17.4 2001 59.8 2002 71.2 2003 71 2004 63.2 2005 60.2 2006 77.6 2007 115.4 a) Perform regression to find a cubic polynomial that fits the data. Use years since 2000 as your inputs x. p(z) docimal places
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![The income of a small business for several years is given in the table below.
Thousands of
Dollars
Year
2000
17.4
2001
59.8
71.2
71
2002
2003
2004
63.2
60.2
77.6
2005
2006
2007
115.4
a) Perform regression to find a cubic polynomial that fits the data. Use years since 2000 as your inputs x.
p(x) =
Round all values to 4 decimal places.
b) Use the model to predict the income of the business in 2010.
thousand dollars
Round to 2 decimal places.
c) Use the model to predict when the business income will reach $1,000,000.
Round to the nearest whole year.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62c7af9b-7edb-4c2c-bdd3-301deede1977%2F818d6acf-8caf-4aa8-8229-a86b768c02f5%2F60g1qg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The income of a small business for several years is given in the table below.
Thousands of
Dollars
Year
2000
17.4
2001
59.8
71.2
71
2002
2003
2004
63.2
60.2
77.6
2005
2006
2007
115.4
a) Perform regression to find a cubic polynomial that fits the data. Use years since 2000 as your inputs x.
p(x) =
Round all values to 4 decimal places.
b) Use the model to predict the income of the business in 2010.
thousand dollars
Round to 2 decimal places.
c) Use the model to predict when the business income will reach $1,000,000.
Round to the nearest whole year.
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