The following is a record of Michael Jordan's remarkable basketball career up through 1998 (when he retired for the second time).                         SEASON                                             AVERAGE POINTS PER GAME                         1986-87                                                                       37.1                         1987-88                                                                       35.0                         1988-89                                                                       32.5                         1989-90

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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  1. The following is a record of Michael Jordan's remarkable basketball career up through 1998 (when he retired for the second time).

                        SEASON                                             AVERAGE POINTS PER GAME

                        1986-87                                                                       37.1

                        1987-88                                                                       35.0

                        1988-89                                                                       32.5

                        1989-90                                                                       33.6

                        1990-91                                                                       31.5

                        1991-92                                                                       30.1

                        1992-93                                                                       30.6

                        1995-96                                                                       30.4

                        1996-97                                                                       29.6

                        1997-98                                                                       28.7

 

    A.        Let 1985-86 be year 0. (Thus 1986-87 will be year 1, 1987-88 year

2 etc.)

Draw a scattergram of this data below.

      B.        Give the equation of the regression line. Then draw the regression line on

the graph above.

       C.        Use this regression equation to predict what Michael Jordan's average should be in 2002-2003. (His actual average was 20.0 points per game but your              prediction may be very different.)

        D.        How well does this regression line represent the data? Give reasons for

your answer.

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