Page 153 - Math Course 2 (Book 2)
P. 153

Lines of Fit
                 Mo. 11


                  Lesson 2
                                                                                Let’s Begin



                 KEY CONCEPTS:
                                                                  Make Predictions from a Line of Fit
                 1. Draw lines of fit for sets of data.
                 2. Use lines of fit to make predictions about
                     data.                                          Examples


                                                                   AGRICULTURE
                 MO. 11 - L2a                                      The table shows the amount of land in U.S. Farms
                                                                   from 1980 to 2000.
                  Drawing and Using Lines of Fit                   Make a scatter plot and draw a line of fit for the

                                                                   data.

                                                                            Year      Land(million acres)
                            Vocabulary A-Z                                  1980             1039

                            Let us learn some vocabulary                    1985             1012

                                                                            1990              986
                line of fit                                                 1995              963
                A line of fit is a line that is very close to most of the   2000              943
                data points.


                                                                                      Answer
                       85
                       80
                       75                                                     1050
                       70                                                     1000
                       65
                       60                                                Amount of land    (million acres)  950
                       55
                       50                                                      900
                       45                                                        0
                       40                                                          ‘80  ‘85  ‘90 ‘95 ‘00  ‘05 ‘10
                       0                                                                    Year
                            1920 1940  1960 1980 2000
                                     Year



                Use the line of fit to predict the amount of land in the year 2010.  1050
                                                                                  1000
                Extend the line so that you can find the y value for an x value of   Amount of land    950
                2010. The y value for 2010 is about892. So, a prediction for the   (million acres)
                amount of farm land in 2010 is approximately892 million acres.     900

                                                                                     0
                                                                                       ‘80  ‘85  ‘90 ‘95 ‘00  ‘05  ‘10
                                                                                                 Year
                          Answer        about 892 million acres










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