CK12 Calculus - Single Variable

Let’s graphthe equationover our data.We see the followinggraph:

In the homeworkwe will practiceusingour calculatorextensivelyto modeldata.

LessonSummary

1. Fit data to linearmodels.


2. Fit data to quadraticmodels.


3. Fit data to trigonometricmodels.


4. Fit data to exponentialgrowthand decaymodels.

ReviewQuestions

1. Considerthe followingtableof measurementsof circularobjects:

Object Diameter(cm) Circumference(cm)

Glass 8.3 26.5

Flashlight 5.2 16.7

Azteccalendar20.2 61.6

Tylenolbottle 3.4 11.6

Popcorncan 13 41.4

Salt shaker 6.3 20.1

Coffee canister11.3 35.8

Cat food33.5 106.5

bucket

Dinnerplate 27.3 85.6

Ritz cracker 4.9 15.5

a. Makea scatterplot of the data.
b. Basedon your plot, whichtype of regressionwill you use?
c. Find the line of best fit.
d. Commenton the valuesof m and b in the equation.

2. Manateesare large,gentlesea creaturesthat live alongthe Floridacoast.Manymanateesare killedor
   injuredby powerboats.Hereare data on powerboatregistrations(in thousands)and the numberof manatees
   killedby boatsin Floridafrom 1987–1997.

Year Boats Manateeskilled

1987 447 13

1988 460 21