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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
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Chapter 3 Solutions
EBK COLLEGE ALGEBRA
- 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
- How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 55. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. BEEB Average Yearly Earnings in the U.S., by Gender and Age M(age=33)=$thousand (Type an integer or decimal rounded to one decimal place as needed.) Average Yearly Earnings ($1000s) 70- 60- Men 50-Women- 40- 30- 20- 10- 0- 22 Age 55 Average Yearly Earnings ($1000s) A $70 (3087) $60- $30 $20- $10- $0 } e $50 (0.23) $40 BN 9 ST (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on the graph to find a function in the form W(x) = mx + b that…arrow_forwardGive two examples of primary and secondary data Primary 1. 2. Secondary 1. 2arrow_forwardHow wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings ($1000s) Average Yearly Earnings in the U.S., by Gender and Age 70- 60- ■Men 50 Women 40- 30- 20- 10- 0- 22 Age 60 Average Yearly Earnings ($1000s) $70- $60- (30,67).. $50 (0,24) $40+ $30+ $20- $10- $0+ 0 M(age=38) = $ thousand (Type an integer or decimal rounded to one decimal place as needed.) ♦ (0,21) Men *(30,40) Women 10 20 30 40 50 Years after Age 22 --X7 (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on…arrow_forward
- A 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_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_forwardUsed cars 2011 Carmax.com lists numerous ToyotaCorollas for sale within a 250 mile radius of Redlands,CA. The table below shows the ages of the cars and theadvertised prices.a) Make a scatterplot for these data.b) Describe the association between Age and Price of aused Corolla.c) Do you think a linear model is appropriate?d) Computer software says that R2 = 89.1,. What is thecorrelation between Age and Price?e) Explain the meaning of R2 in this context. f) Why doesn’t this model explain 100% of the variabil-ity in the price of a used Corolla?arrow_forward
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- 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
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