AFDA – Unit 8: Function Families
Day 2 HW: Regressions
Directions: Read each question and answer completely.
Name: _________________
Block: _____ Date:_______
1. You visit some relatives in Syracuse, New York. You want to drive to Buffalo to see
Niagara Falls. The following table illustrates the relation between the miles driven and cost
to rent the car.
Number of Miles Driven
100 200 300 400 500
Cost of Rental
40
55
70
85 100
a. Enter the data in your calculator, look at the scatterplot, and describe any patterns you
see (think function families + behavior).
b. What is the equation of the best fitting regression model? Round to three decimals
when necessary.
c. What is the 𝑟 2 value? What does this mean? Round to three decimals.
d. The distance from Syracuse to Buffalo is 153 miles. Using your regression equation
and table feature, what was the expected cost for a round-trip? Is this interpolation or
extrapolation?
2. The following table shows the earth’s atmospheric pressure, P, at an altitude of a,
kilometers.
Altitude, a
0
2
4
6
8
10
12
14 16 18
Pressure,
10.3 8 6.4 5.1 4.0 3.2 2.54 2.0 1.6 1.3
P
a. Enter the data in your calculator, look at the scatterplot, and describe any patterns
you see (think function families + behavior).
b. What is the equation of the best fitting regression model? Round to three decimals
when necessary.
c. What is the 𝑟 2 value? What does this mean? Round to three decimals.
3. The data in the table shows the oxygen consumption, in milliliters per minute, if a bird
flying level at various speeds in kilometers per hour.
Speed
20 25 28 35 42 50
Consumption 32 27 22 21 26 34
a. Enter the data in your calculator, look at the scatterplot, and describe any patterns you
see (think function families + behavior).
b. What is the equation of the best fitting regression model? Round to three decimals
when necessary.
c. What is the 𝑟 2 value? What does this mean? Round to three decimals.
d. Use the regression model and table feature to determine how much oxygen the bird
consumes if it flies 37 kph. Round to the nearest whole number. Is this interpolation or
extrapolation?
4. The amount of oxygen, x, in milliliters per liter, that can be absorbed by water at a certain
temperature, T, in degrees Fahrenheit, is given in the following table.
Temp. (°F)
32
38 46 52 58 64
Oxygen absorbed, mL/L
10.5 8.4 7.6 7.1 6.8 6.5
a. Enter the data in your calculator, look at the scatterplot, and describe any patterns you
see (think function families + behavior).
b. What is exponential regression model? Round to three decimals.
 What is the 𝑟 2 value? What does this mean? Round to three decimals.
c. What is the logarithmic regression model? Round to three decimals.
 What is the 𝑟 2 value? What does this mean? Round to three decimals.
d. Which model fits the data better? Why?