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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. Month t 1 2 3 4 Purchase (books) 1,330 520 520 1,340 2,980 (a) Calculate the sum-of-squares error for each of the models. (Round your answers to one decimal place.) 3,000 1 + 12(2-¹) n(t) = n(t) = n(t) = 300(1.6) n(t) = 100(4.1² - 20.4t + 29.5) Which of the models best approximates the data? 3,000 1 + 12(2) 2,000 4.2 - 0.7t O n(t) = O n(t) = On(t) = 300(1.6¹) On(t) = 100(4.1t² - 20.4t + 29.5) n(t) = 2,000 4.2 - 0.7t (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(2-²) n(t) = O rising O falling O leveling off O something else OOOOO ⁰⁰0 2,000 4.2 - 0.7t O rising O falling O leveling off O something else n(t) = 300(1.6) O rising O falling O leveling off O something else 5 n(t) = 100(4.1t² - 20.4t + 29.5) O rising O falling O leveling off O something else

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. Month t 1 2 3 4 Purchase (books) 1,330 520 520 1,340 2,980 (a) Calculate the sum-of-squares error for each of the models. (Round your answers to one decimal place.) 3,000 1 + 12(2-¹) n(t) = n(t) = n(t) = 300(1.6) n(t) = 100(4.1² - 20.4t + 29.5) Which of the models best approximates the data? 3,000 1 + 12(2) 2,000 4.2 - 0.7t O n(t) = O n(t) = On(t) = 300(1.6¹) On(t) = 100(4.1t² - 20.4t + 29.5) n(t) = 2,000 4.2 - 0.7t (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(2-²) n(t) = O rising O falling O leveling off O something else OOOOO ⁰⁰0 2,000 4.2 - 0.7t O rising O falling O leveling off O something else n(t) = 300(1.6) O rising O falling O leveling off O something else 5 n(t) = 100(4.1t² - 20.4t + 29.5) O rising O falling O leveling off O something else

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
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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