Acquisition Lesson Planning Form - Ciclt.net

Traveling on the Turnpike Learning Task – Part 2Our next goal is to find a function that models the toll schedule whenever we begin at theSandusky-Norwalk exit and travel in either direction. For this part we use two least squaresregression lines, one calculated for the points corresponding to all the exits from 118 to 215and the other calculated for the points corresponding to all the exits from 2 to 118.13. The least squares regression line for the data set of all ordered pairs of the form (exit #, toll)for the exits from 118 to 215 is given byy = 0.0629011x – 7.46324.a. Use technology to graph this least squares regression line.b. Find the x-intercept of the line.14. The least squares regression line for the data set of all ordered pairs of the form (exit #, toll)for the exits from 2 to 118 is given byy = – 0.0621573x + 7.34057.a. Use technology to graph this least squares regression line..b. Find the x-intercept of the line.15. We want to find a function that models the toll schedule whenever we begin at theSandusky-Norwalk exit and travel in either direction.a. How should the graphs of the linear functions from Items 13 and 14 be restricted so thatthe graphs can be combined to form a single piecewise function T that models the tollschedule for Ohio Turnpike users who start at the Sandusky-Norwalk exit?b. Graph the piecewise function T from part a in a viewing window with −25 ≤ x ≤225and−10 ≤ y ≤10. If possible, use a graphing utility that allows you to graph piecewisefunctions. Otherwise, graph by hand to include the required graphing window.c. Write the definition of the piecewise function T graphed in part b.Math 2 Unit 5 Lesson 3 Linear and Quadratic Regression Page 15