MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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OHaganBooks.com has been promoting a number of books published by Duffin House. The following table shows the number of books purchased each month from Duffin House for the past 5 months.
n(t)
2,000
4.2 - 0.7t
n(t) = 300(1.6¹)
n(t) = 100(4.1t² - 20.4t + 29.5)
=
n(t)
n(t)
Purchase (books)
n(t) =
Month t
(a) Calculate the sum-of-squares error for each of the models. (Round your answers to one decimal place.)
3,000
n(t)
1 + 12(2-¹)
n(t)
Which of the models best approximates the data?
3,000
1 + 12(2-¹)
=
=
=
1
2,000
4.2 - 0.7t
n(t) = 300(1.6¹)
n(t) = 100(4.1t² - 20.4t + 29.5)
rising
falling
leveling off
something else
2,000
4.2 0.7t
2
1,330 520 520 1,340
rising
falling
leveling off
O something else
3
(b) What do each of the following models predict for the number of new users in the next few months: rising, falling, leveling off, or something else?
3,000
1 + 12(2-¹)
4
n(t) = 300(1.6¹)
rising
falling
leveling off
O something else
n(t) = 100(4.1t² - 20.4t + 29.5)
rising
O falling
O leveling off
O something else
5
2,980
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Transcribed Image Text:OHaganBooks.com has been promoting a number of books published by Duffin House. The following table shows the number of books purchased each month from Duffin House for the past 5 months. n(t) 2,000 4.2 - 0.7t n(t) = 300(1.6¹) n(t) = 100(4.1t² - 20.4t + 29.5) = n(t) n(t) Purchase (books) n(t) = Month t (a) Calculate the sum-of-squares error for each of the models. (Round your answers to one decimal place.) 3,000 n(t) 1 + 12(2-¹) n(t) Which of the models best approximates the data? 3,000 1 + 12(2-¹) = = = 1 2,000 4.2 - 0.7t n(t) = 300(1.6¹) n(t) = 100(4.1t² - 20.4t + 29.5) rising falling leveling off something else 2,000 4.2 0.7t 2 1,330 520 520 1,340 rising falling leveling off O something else 3 (b) What do each of the following models predict for the number of new users in the next few months: rising, falling, leveling off, or something else? 3,000 1 + 12(2-¹) 4 n(t) = 300(1.6¹) rising falling leveling off O something else n(t) = 100(4.1t² - 20.4t + 29.5) rising O falling O leveling off O something else 5 2,980
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