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##### 19. The following table gives the number of motor vehicle thefts (in thousands) in the U.S. for the years 1983 - 1993. x = 1 represents 1983. Use the regression capabilities of your calculator to fit a cubic model to this data. Round to three decimal plac

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**Question**

19. The following table gives the number of motor vehicle thefts (in thousands) in the U.S. for the;years 1983 - 1993. x = 1 represents 1983. Use the regression capabilities of your calculator to;fit a cubic model to this data. Round to three decimal places. Use your model to predict the;number of motor vehicle thefts in 1995.;Year;(x);1;2;3;4;5;6;7;8;9;10;11;Thefts;(y);1008;1032;1103;1224;1289;1433;1565;1636;1662;1611;1561;20. The table below shows the per capita consumption of beef in the United States in recent years.;What is the equation of the regression line which best fits this data? What is the correlation;coefficient for this regression line? How close a fit is the regression line? Use the regression line;to predict the per capita consumption of beef in 2001.;Year x;Per capita consumption of beef, in lbs;1990 0;64.0;1991 1;63.1;1992 2;62.8;1993 3;61.5;3;Fall 2003 ? O?Brien;21. The table below shows the total annual amount of advertising expenses (in billions of dollars) in;the United States in recent years. What is the equation of the regression line which best fits this;data? What is the correlation coefficient for this regression line? How close a fit is the regression;line? Use the regression line to predict the annual amount of advertising expenses in 2003.;x = 1 corresponds to 1991. Round all numbers to three decimal places.;Year (x);1;2;3;4;5;6;Expenses (y);$126.4;$131.3;$138.1;$150.0;$160.9;$173.2;Miscellaneous Problems;Directions: Solve the following problems. Show all of your support work.;22. In 1990, around 115 billion dollars was invested globally in telecommunications infrastructure.;In 1994, around 145 billion was spent. Assuming that global investment in telecom;infrastructure is growing at a constant rate, write a linear model which gives investment (I) in;billions of dollars as a function of t, the number of years since 1990. Use your model to predict;global telecom investment in 2003.;23. Zeno?s Cabs purchased a taxi for $24,600 in 1994. After 8 years, the cab must be replaced. It?s;salvage value is $2,200. Write a linear equation (in slope-intercept form) giving the value of the;cab during its 8 years of use. What was the value of the cab 3 years after it was purchased? Show all of your support work.;24.

Paper#72518 | Written in 18-Jul-2015

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