Concept explainers
Tuition Costs Average annual tuition and fees for in-state students at public four-year colleges are shown in the table for selected years and graphed as ordered pairs of points, where
Tuition and Fees | |
Year | Cost (in dollars) |
2005 | 5492 |
2006 | 5804 |
2007 | 6191 |
2008 | 6591 |
2009 | 7050 |
2010 | 7605 |
Source: Trends in College Pricing2010, The College Board.
(a) Use the points from the years 2005 and 2010 to find a linear function f that models the data.
(b) Use the function from part (a) to estimate the cost of tuition and fees, to the nearest dollar, at public four-year colleges in 2012.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)
- Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?arrow_forwardWhat type of graph is this, and is it displaying Ordinal, Interval, Nominal, or Ratio Data?arrow_forwardThe owner of Showtime Movie Theaters, Inc., would lke to predict weekly gross revenue as a function of advertising expenditures Historical data for a sample of eight wecks follow Weekly Gross Revenue ($1,000s) Television Advertising ($1,000s) Newspaper Advertising ($1,000s) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 The owner then used multiple regression analysis to predict gross revenue (y), in thousands of dollars, as a function of television advertising (x), in thousands of dolars, and newspaper advertising (x,), in thousands of dollars. The estimated regression equation was = 83.2 + 2.29x, + 1.30x. (a) What is the gross revenue (in dollars) expected for a week when $5,000 is spent on television advertising (x5) and $1,500 is spent on newspaper advertising (, 1.5)? (Round your answer to the nearest dollar.) $06600 (b) Provide a 95% confidence interval (in dolars) for the mean revenue of all weeks with the expenditures listed in part (a).…arrow_forward
- can anyone help with this please? Thank you.arrow_forwardThe line graph below shows the average US price for one gallon of gasoline on the first Monday of each month from January 2008 to October 2011. Price (Dollars per Gallon) 4.00 3.50 3.00 2.50 2.00 1.50 8 1.00 0.50 Average Monthly U.S. Regular Gasoline Prices January, 2008 March, 2008 May, 2008 July, 2008 2008 September, 2008 November, 6002 Auenuer 2009 2009 March, 2009 2010 May, 2009 July, 2009 January, 2010 March, 2010 May, 2010 July, 2010 September, 2010 November, September, November, January, 2011 March, 2011 July, 2011 May, 2011 September, 2011 What was the relative change in the price of a gallon of gasoline from July 2008 to January 2009? Round to the nearest tenth of a percent. Remember (E-B)/Barrow_forwardExample Estimate the profits for the year 2011 from the data given below: Year 2009 2010 2011 Profit · 8.5 12 10arrow_forward
- draw a line graph following this information. The line graph depicts the historical and projected sales volume of Pepsi Co Jamaica's Diet Pepsi for the next fiscal year, with the horizontal axis representing the four quarters of the year, and the vertical axis representing the sales volume in million cases. The historical sales data is represented by a line that shows a sales volume of 1 million cases for the past fiscal year. The projected sales volume is represented by another line that shows an expected increase in sales volume to 1.5 million cases for the next fiscal year. The sales targets for each quarter are represented by markers or points on the graph, with the first quarter expected to reach 0.4 million cases, the second quarter at 0.5 million cases, the third quarter at 0.3 million cases, and the fourth quarter at 0.3 million cases.arrow_forwardCreate a line graph of the data using Excel. For how many of the years was the deficit greater than or equal to $320 million?arrow_forwardNumber 6arrow_forward
- The double-bar graph shown displays the average cost of an undergraduate student's tuition, fees, and room and board for the academic years 2012-2013 to 2016-2017 at both a 2-year and a 4-year public institution. In which academic year was there the smallest difference between the average costs at a 2-year institution and a 4-year institution? 350+ 2-year 4-year 300- 248 253 257 250- 239 242 200- 150- 99 103 105 107 95 100- 50- 2012-13 2013-14 2014-15 2015-16 Academic year 2016-17 ..... In the academic year, the difference between the average cost at the 2-year and the 4-year institution was the smallest. 2016-17 2015-16 2012-13 2013-14 2014-15 Average Cost (in hundreds of dollars)arrow_forwardA researcher presents data to examine the relationship between income and weight and uses a scatterplot to display the results. The researcher places income level intervals along the vertical line in the graph. The reviewer knows that: a.data about income represent the independent variable b.income data are presented along the X axis. c.the plot will show whether the relationship is negative or positive. d.weight values will occur along the Y axisarrow_forwardMy UHart | University of Hartford The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1,000s) Television Advertising ($1,000s) Newspaper Advertising ($1,000s) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 The owner then used multiple regression analysis to predict gross revenue (y), in thousands of dollars, as a function of television advertising (x,), in thousands of dollars, and newspaper advertising (x,), in thousands of dollars. The estimated regression equation was = 83.2 + 2.29x, + 1.30x2. (a) What is the gross revenue (in dollars) expected for a week when $3,000 is spent on television advertising (x, = 3) and $3,300 is spent on newspaper advertising (x, = 3.3)? (Round your answer to the nearest dollar.) %$4 (b) Provide a 95% confidence interval (in dollars) for the mean revenue of all…arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning