Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 2a – Linear Functions and Applications Mini-Lesson Problem 7 YOU TRY – LINEAR REGRESSION The following table gives the total number of live Christmas trees sold, in millions, in the United States from 2004 to 2011. (Source: Statista.com). Year 2004 2006 2008 2010 2011 Total Number of Christmas Trees Sold in the U.S. (in millions) 27.10 28.60 28.20 27 30.80 a) Use your calculator to determine the equation of the regression line, C(t) where t represents the number of years since 2004. Refer to the steps outlined in Problem 5 for guidance. Start by entering new t values for the table below based upon the number of years since 2004. The first few are done for you: t = number of years since 2004 C(t) = Total number of Christmas trees sold in the U.S. (in millions) 0 2 27.10 28.60 28.20 27 30.80 Determine the regression equation in y = ax + b form and write it here: ____________________ Round to three decimals as needed. Rewrite the regression equation in C(t) = at + b form and write it here: ____________________ Round to three decimals as needed. b) Use the regression equation to determine C(3) and explain its meaning in the context of this problem. c) Use the regression equation to predict the number of Christmas trees that will be sold in the year 2013. Write your answer as a complete sentence. d) Identify the slope of the regression equation and explain its meaning in the context of this problem. Scottsdale Community College Page 62 Intermediate Algebra
Lesson 2a – Linear Functions and Applications Mini-Lesson Problem 8 YOU TRY – LINEAR REGRESSION a) Given the data in the table below, use your calculator to plot a scatterplot of the data and draw a rough but accurate sketch in the space below. x 0 2 4 6 8 10 12 y 23.76 24.78 25.93 26.24 26.93 27.04 27.93 b) Use your graphing calculator to determine the equation of the regression line. Round to three decimals as needed. c) Using the TABLE, determine the value of y when the input is 6: Write the specific ordered pair associated with this result: d) Using your EQUATION from part b), determine the value of y when the input is 6 (Hint: Plug in 6 for x and compute the y-value): Write the specific ordered pair associated with this result: e) Your y-values for c) and d) should be different. Why is this the case? (refer to the end of Problem 5 for help). f) Use the result from part b) to predict the value of x when the output is 28.14. Set up an equation and show your work to solve it here. Write the specific ordered pair associated with this result: _______________ Scottsdale Community College Page 63 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 3a - Introduction to Exponen
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Lesson 3a - Introduction to Exponen
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Lesson 4b - More on Logarithms This
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Lesson 4b - More on Logarithms Mini
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Lesson 4b - More on Logarithms Prac
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Lesson 5a - Introduction to Quadrat
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Lesson 5b - Solving Quadratic Equat
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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