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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-

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
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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WEN EXTENDED APPLICATIONS I. Starbucks Stores (Modeling) GROUP PROJECTS We all know that the number of Starbucks stores increased rapidly during 1992-2009. To sce how rapidly, observe the following table, which gives the number of U.S. stores and the total number of stores during this period. Year Number of U.S. Stores Total Stores 1992 113 127 1993 163 183 1994 264 300 1995 430 483 1996 663 746 1997 974 1121 1998 1321 1568 1999 1657 2028 2000 2119 2674 2001 2925 3817 2002 3756 5104 2003 4453 6193 2004 5452 7567 2005 7353 10,241 2006 8896 12,440 2007 10,684 15,011 2008 11,567 16,680 2009 11,128 16,635 Source: 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 piot 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? -Cheek theInternet to see zhether the growvth models devetoped previeusly-remain aGcurate 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.
Transcribed Image Text:WEN EXTENDED APPLICATIONS I. Starbucks Stores (Modeling) GROUP PROJECTS We all know that the number of Starbucks stores increased rapidly during 1992-2009. To sce how rapidly, observe the following table, which gives the number of U.S. stores and the total number of stores during this period. Year Number of U.S. Stores Total Stores 1992 113 127 1993 163 183 1994 264 300 1995 430 483 1996 663 746 1997 974 1121 1998 1321 1568 1999 1657 2028 2000 2119 2674 2001 2925 3817 2002 3756 5104 2003 4453 6193 2004 5452 7567 2005 7353 10,241 2006 8896 12,440 2007 10,684 15,011 2008 11,567 16,680 2009 11,128 16,635 Source: 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 piot 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? -Cheek theInternet to see zhether the growvth models devetoped previeusly-remain aGcurate 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.
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