WENEXTENDEDAPPLICATIONSI. Starbucks Stores (Modeling)GROUP PROJECTSWe all know that the number of Starbucks stores increased rapidly during 1992-2009. Tosce how rapidly, observe the following table, which gives the number of U.S. stores and thetotal number of stores during this period.YearNumber of U.S. StoresTotal Stores19921131271993163183199426430019954304831996663746199797411211998132115681999165720282000211926742001292538172002375651042003445361932004545275672005735310,2412006889612,440200710,68415,011200811,56716,680200911,12816,635Source: Starbucks.comTo investigate how the number of stores is likely to increase in the future and how the totalnumber of stores compares with the number of U.S. stores, complete the following.1. Create a scatter plot of the points (x, f(x)), with x equal to the number of the years past1990 and f(x) equal to the number of U.S. stores in the designated year.2. Find an exponential function that models these data. Rewrite the function with base e.3. How accurately does this model estimate the number of U.S. stores in 2000 and in 2006?4. Find a logistic function that models the data. Does this model estimate the number ofU.S. stores in 2000 and in 2006 better than the exponential model?5. Graph the exponential model and the logistic model on the same axes as the scatterpiot to determine whether the exponential or the logarithmic model is the better fit.6. Find the exponential and the logistic functions that model the total number of Star-bucks stores as a function of the number of years past 1992.7. Which of the two models found in Question 6 is the better fit for the data?8. Create a new column of data containing the ratio of total stores to U.S. stores bydividing the total number of stores by the number of U.S. stores in each row of the table.9. Create a scatter plot with the number of years past 1990 as the inputs and the ratiosfound in Question 8 as the outputs.10. Discuss the growth of the ratio of total stores to U.S. stores during 1992-2009. Atwhat average rate is this ratio growing during 1992-2009?-Cheek theInternet to see zhether the growvth models devetoped previeusly-remainaGcurate inte the next-decade.-Copyright 2011 Cengage Learming. All Rights Reserved. M:ay nal be copied, scanned, or duplicated, in whole or in part. Due to clectronic rights, some thirel party content may be suppressed from the cBook and/or cChrapter(s).Editorial review has deemed that any suppressed content does not malerially affect the overall Icarning experience. Cengage Learning reserves the rigbt tm remove additional cuntent at any time if subseyuent rights resrictions rerire il.

Since you have asked multiple questions , we will solve the first question for you . If you want a particular question to be solved then please mention the question number or post only that question. Scatter plot :

Starbucks.com To investigate how the number of stores is likely to increase in the future and how the total number of stores compares with the number of U.S. stores, complete the following. 1. Create a scatter plot of the points (x, f(x)), with x equal to the number of the years past 1990 and f(x) equal to the number of U.S. stores in the designated year. 2. Find an exponential function that models these data. Rewrite the function with base e. 3. How accurately does this model estimate the number of U.S. stores in 2000 and in 2006? 4. Find a logistic function that models the data. Does this model estimate the number of U.S. stores in 2000 and in 2006 better than the exponential model? 5. Graph the exponential model and the logistic model on the same axes as the scatter plot to determine whether the exponential or the logarithmic model is the better fit. 6. Find the exponential and the logistic functions that model the total number of Star- bucks stores as a function of the number of years past 1992. 7. Which of the two models found in Question 6 is the better fit for the data? 8. Create a new column of data containing the ratio of total stores to U.S. stores by dividing the total number of stores by the number of U.S. stores in each row of the table. 9. Create a scatter plot with the number of years past 1990 as the inputs and the ratios found in Question 8 as the outputs. 10. Discuss the growth of the ratio of total stores to U.S. stores during 1992-2009. At what average rate is this ratio growing during 1992-2009? -Checkthe Inaternet to seewhether-the growth-medels devetoped previously-remain-

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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