Concept explainers
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 civilian non-institutional U.S. populations
A model for the data is
Trending nowThis is a popular solution!
Chapter 3 Solutions
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
- 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. 2008,3.032012,4.862009,4.282013,4.582010,4.452014,4.412011,4.76 A model for the data is y=0.184t+2.32,8t14, where t represents the year, with t=8 corresponding to 2008.arrow_forwardHOW DO YOU SEE IT? Discuss how well a linear model approximates the data shown in each scatter plot.arrow_forwardSales Barnes & Noble had annual sales of $6.8 billion in 2013 and $6.1 billion in 2015. Use the Midpoint Formula to estimate the sales in 2014. Assume that the annual sales followed a linear pattern.arrow_forward
- In Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 2008 through 2014. In each exercise, you are given the expenditures of the federal government. Find the magnitude of the surplus or deficit for the year. YearReceipts,RExpenditures,ERE20103457.1billionarrow_forwardIn Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 2008 through 2014. In each exercise, you are given the expenditures of the federal government. Find the magnitude of the surplus or deficit for the year. YearReceipts,RExpenditures,ERE2008$2982.5billionarrow_forwardFill in the blanks. An r-value, or, of a set of data gives a measure of how well a model fits the data.arrow_forward
- Smoking and pregnancy 2006 The Child Trends DataBank monitors issues related to children. The table showsa 50-state average of the percent of expectant motherswho smoked cigarettes during their pregnancies.a) Create a scatterplot and describe the trend you see.b) Find the correlation.c) How is the value of the correlation affected by the factthat the data are averages rather than percentages foreach of the 50 states?d) Write a linear model and interpret the slope in context. Year% SmokingWhile Pregnant Year % SmokingWhile Pregnant1990 19.2 1999 14.11991 18.7 2000 14.01992 17.9 2001 13.81993 16.8 2002 13.31994 16.0 2003 12.71995 15.4 2004 10.91996 15.3 2005 10.11997 14.9 2006 10.01998 14.8arrow_forward(Please do not give solution in image format thanku)arrow_forwardA study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data: Click on the datafile logo to reference the data. DATA file 3. a. Which of the following is a scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis? 1. Fuel Efficiency (MPG) Fuel Efficiency (MPG) -30- -20 -10 30 -20 10 10. 10 20 30 40 Driving Speed (MPH) 50 20 30 4,0 50 Driving Speed (MPH) 60 60 2. 4. Fuel Efficiency (MPG) 30 -20 10- Full Efficiency (MPC) 30 -10- 10 10 Driving Speed 30 50 40 55 30 25 60 25 50 55 Fuel Efficiency 28 25 25 23 30 32 21 35 26 25 20 30 40 50 60 Driving Speed (MPH) - Select your answer - V b. Comment on any apparent relationship between these two variables. For midsized cars, lower driving speeds seem to yield - Select your answer - miles per gallon. 50 20 30 40 Driving Speed (MPH) 6,0arrow_forward
- Fill in the blank. You are doing a study for a non-profit group helping at-risk children in your city. Suppose you know that 14.2% of the children in your city live in poverty. This percentage is an example of a You are doing a study for a non-profit group helping at-risk children in your city. Suppose you know that 14.2% of the children in your city live in poverty. This percentage is an example of a population parameter. sample statistic.arrow_forwardPart III- Linear Relationship Scenario: A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects eleven 3-year old children from her practice, measures their heights and head circumference, and obtains the data shown below: Height (inches) Head Circumference (inches) 27.75 17.5 24.5 17.1 25.5 17.1 26 17.3 25 16.9 25.75 17.6 26.5 17.3 27 17.5 26.75 17.3 26.75 17.5 27.5 17.5 a. If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. c. Draw the best fit line on the scatter diagram. d. Does this scatter diagram show a positive, negative, or no relationship between a child's height and the head circumference?arrow_forwardCritical Thinking Look at the histogram in Figure 2-10(a), which shows mileage, in miles per gallon (mpg), for a random selection of older passenger cars (Reference: Consumer Reports). (a) Is the shape of the histogram essentially bimodal? (b) Jose looked at the raw data and discovered that the 54 data values included both the city and the highway mileages for 27 cars. He used the city mileages for the 27 cars to make the histogram in Figure 2-10(b). Using this information and Figure 2-10, parts (a) and (b), construct a his- togram for the highway mileages of the same cars. Use class boundaries 16.5, 20.5, 24.5, 28.5, 32.5, 36.5, and 40.5. 9. 0r Histogram of City mpg (b) Histogram of mpg (a) 16 15 16 15 14 14 12 12 12 10 10 8 7 6 6 6 6 5 6 4 4 4 2 1 1 2 0 8.5 12.5 16.5 20.5 24.5 8.5 12.5 16.5 20.5 24.5 28.5 32.5 36.5 40.5 mpg City mpg of Frequency 0 Frequency LOarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning