http://www.ck12.org Chapter 1. Functions, Limits, and Continuity
Lesson Summary
- Fit data to linear models.
- Fit data to quadratic models.
- Fit data to trigonometric models.
- Fit data to exponential growth and decay models.
Review Questions
- Consider the following table of measurements of circular objects:
a. Make a scatter plot of the data.
b. Based on your plot, which type of regression will you use?
c. Find the line of best fit.
d. Comment on the values ofmandbin the equation.
TABLE1.5:
Object Diameter (cm) Circumference (cm)
Glass 8. 3 26. 5
Flashlight 5. 2 16. 7
Aztec calendar 20. 2 61. 6
Tylenol bottle 3. 4 11. 6
Popcorn can 13 41. 4
Salt shaker 6. 3 20. 1
Coffee canister 11. 3 35. 8
Cat food bucket 33. 5 106. 5
Dinner plate 27. 3 85. 6
Ritz cracker 4. 9 15. 5- Manatees are large, gentle sea creatures that live along the Florida coast. Many manatees are killed or injured
by power boats. Here are data on powerboat registrations (in thousands) and the number of manatees killed
by boats in Florida from 1987 - 1997.
a. Make a scatter plot of the data.
b. Use linear regression to find the line of best fit.
c. Suppose in the year 2000, powerboat registrations increase to 700,000. Predict how many manatees will
be killed.
TABLE1.6:
Year Boats Manatees killed
1987 447 13
1988 460 21
1989 480 24
1990 497 16
1991 512 24
1992 513 21