Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the revenues y (in billions of dollars) for Activision Blizzard, Inc., from 2008 through 2014. 2008 , 3.03 2012 , 4.86 2009 , 4.28 2013 , 4.58 2010 , 4.45 2014 , 4.41 2011 , 4.76 A model for the data is y = 0.184 t + 2.32 , 8 ≤ t ≤ 14 , where t represents the year, with t = 8 corresponding to 2008.
Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the revenues y (in billions of dollars) for Activision Blizzard, Inc., from 2008 through 2014. 2008 , 3.03 2012 , 4.86 2009 , 4.28 2013 , 4.58 2010 , 4.45 2014 , 4.41 2011 , 4.76 A model for the data is y = 0.184 t + 2.32 , 8 ≤ t ≤ 14 , where t represents the year, with t = 8 corresponding to 2008.
Solution Summary: The author explains how to plot the actual data and the model on the same graph.
Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit.
The ordered pairs below give the revenues
y
(in billions of dollars) for Activision Blizzard, Inc., from 2008 through 2014.
The bar graph shows the average cost of tuition and fees at private four-year colleges in a particular country. Below are two mathematical models for the data shown in the graph. In
each formula, T represents the average cost of tuition and fees at private colleges for the school year ending x years after 2000. Answer parts a and b.
Average Cost of Tuition and Fees at Private Four-Year
Colleges
22
20-
22,051
21,057
20,095
19,128
18,135
18-
16.203
16 15 218
17,168
Model 1 T= 974x+ 15,223
Model 2
T= - 2.1x + 988x + 15,208
14
2000 2001 20022003 2004 2005 2006 2007
a. Use each model to find the average cost of tuition and fees at private colleges for the school vear ending in 2003. By how much does each model underestimate or overestimate the actual cost shown for the school year ending
in 2003?
HIHE
The average cost given by model 1 is $ Round to the nearest dollar.)
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5. The table shows how the cost of a carne asada taco at my favorite taco
stand has increased as they have become more popular since their
opening in 2013. Use the data to answer the questions below.
Year, x
2013, 0 2014, 1
2015, 2 2016, 3 2017, 4 2018, 5 2019,6
Cost ($) 0.50
0.55
0.65
0.75
0.90
1.00
1.10
(a) What is the regression line given by your TI-84 for this data?
Round values to 3 decimal places.
(b) Using the regression equation above, predict the cost of a carne asada
taco at my favorite taco stand in 2020. Show the work.
Chapter 3 Solutions
College Algebra Real Mathematics Real People Edition 7
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