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
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Chapter 3 Solutions
College Algebra Real Mathematics Real People Edition 7
- 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
- The data in the picture contains purchase data for golf purchases. Create a doughnut chart in Excel to compare the purchases by gender each year with the US population. Below the chart, explain what it illustrates.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
- Continue monitoring the process. A second ten days of data have been collected, see table labeled “2nd 10 Days of Monitoring Reservation Processing Time” in the Data File. Develop Xbar and R charts for the 2nd 10 days of monitoring. Plot the data for the 2nd 10 days on the Xbar and R charts. Is the reservation process for the 2nd 10 days of monitoring in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart. Based on the X-bar and R Charts that you developed for the 2nd 10 days of data, is the process in control? Group of answer choices No. The X-bar and R Charts are both out of control. No. The X-bar Chart is in control, but the R Chart is out of control. No. The R Chart is in control, but the X-bar Chart is out of control. Yes. The X-bar and R Charts are both in control.arrow_forwardMembers of the student council are seling bagels during each class period of the school day for a fundrasier. Yu-na made a scatter plot to see if there was a relationship between the class period and the number of bagels sold.Yu-na draws a line of best fit. Which of these lines is the best model for the data?arrow_forwardanswer the given questionarrow_forward
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