Curve Fitting with Linear Models

exploration Curve Fitting with 2-7 Linear Models

The table shows the dates and Date Record Holder Time (s) winning times for record holders 1983 Calvin Smith 9.93 in the men’s 100-meter sprint. You 1988 Carl Lewis 9.92 can use a graphing calculator to 1991 Leroy Burrell 9.90 help you see trends in the data. 1991 Carl Lewis 9.86 1994 Leroy Burrell 9.85 1996 Donovan Bailey 9.84 1. Enter the years in list L1 by 1999 Maurice Green 9.79 pressing 34!4 and then 1. Let 2002 Tim Montgomery 9.78 1983 be year 0 and 2005 be 2005 Asafa Powell 9.77 year 22. Then enter the times in list L2.

2. Make a scatter plot in the following way: Press ND 9 . Then select Plot1 and set up the plot as shown. When you are done, press '2!0( . Adjust the viewing window as needed.

THINK AND DISCUSS 3. Describe the pattern of the data in the scatter plot. 4. Explain how you could use the scatter plot to make predictions about future records in the 100-meter sprint. 3. The data are close to a straight line with a negative slope. 4. Draw a line that is close to the data. Then use the line to help predict record times in future years.

2. Make a scatter plot in the following way: Press ND 9 . Then select Plot1 and set up the plot as shown. When you are done, press '2!0( . Adjust the viewing window as needed.