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6.3 Task: Modeling/Regression

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Last updated over 1 year ago
37 questions
Note from the author:
Working with a partner you will divide parts of the workload and collaboratively decide which model should be used. Designate one person to do the workload for person A and the other for Person B.
Working with a partner you will divide parts of the workload and collaboratively decide which model should be used. Designate one person to do the workload for person A and the other for Person B.
Andrew measured the calories burned when running at different average speeds (mph) over a given time frame.

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In a laboratory a scientist is watching the growth of a bacteria. The information recorded is listed below.

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A student throws his textbook off the top of a tall cliff. The book's height relative to sea level is recorded below.

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The table below shows the amount of a decaying radioactive substance that remain

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The following table shows how many miles per gallon a car gets at different speeds.

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Question 1
1.

Person A: Quadratic Equation

Using Desmos, create a quadratic regression equation. Round to 2 decimal places. Type the regression equation here.

Question 2
2.

Type R2 (round to 4 decimal places)

Question 3
3.

Person B:
Exponential Equation

Using Desmos, create an exponential regression equation. Round to 2 decimal places. Type the regression equation here.

Question 4
4.

Type R2 (round to 4 decimal places)

Question 5
5.

Question 6
6.

Use the best fit model to predict the calories burned when Andrew runs at 9 mph for the same time frame.

Round your answer to the nearest whole number and do not include units.

Question 7
7.

Person A: Exponential Equation

Using Desmos, create an exponential regression equation. Round to 2 decimal places. Type the regression equation here.

Question 8
8.

Type R2 (round to 4 decimal places)

Question 9
9.

Person B:
Quadratic Equation

Using Desmos, create a quadratic regression equation. Round to 2 decimal places. Type the regression equation here.

Question 10
10.

Type R2 (round to 4 decimal places)

Question 11
11.

Question 12
12.

Use the best fit model to predict the number of bacteria after 5 hours.

Round your answer to the nearest whole number and do not include units.

Question 13
13.

Person A: Quadratic Equation

Using Desmos, create a quadratic regression equation. Round to 2 decimal places. Type the regression equation here.

Question 14
14.

Type R2 (round to 4 decimal places)

Question 15
15.

Person B:
Exponential Equation

Using Desmos, create an exponential regression equation. Round to 2 decimal places. Type the regression equation here.

Question 16
16.

Type R2 (round to 4 decimal places)

Question 17
17.

Question 18
18.

Use the best fit model to predict the height after 7 seconds.

Round your answer to the nearest whole number and do not include units.

Question 19
19.

Person A: Exponential Equation

Using Desmos, create an exponential regression equation. Round to 2 decimal places. Type the regression equation here.

Question 20
20.

Type R2 (round to 4 decimal places)

Question 21
21.

Person B:
Quadratic Equation

Using Desmos, create a quadratic regression equation. Round to 2 decimal places. Type the regression equation here.

Question 22
22.

Type R2 (round to 4 decimal places)

Question 23
23.

Question 24
24.

Use the best fit model to predict the height after 7 seconds.

Round your answer to the nearest whole number and do not include units.

Susan and Bill are looking at the data table below. Susan believes the data is best represented by a quadratic function, while Bill thinks it is an exponential function. Which person is correct? Why?


Question 25
25.

Person A: Write Susan's quadratic regression equation. Round to 2 decimal places.

Question 26
26.

Type R2 (round to 4 decimal places)

Question 27
27.

Person B: Write Bill's exponential regression equation. Round to 2 decimal places.

Question 28
28.

Type R2 (round to 4 decimal places)

Question 29
29.

Question 30
30.

Use the best fit model to predict the value of y for x=5.

Round your answer to the nearest whole number and do not include units.

Question 31
31.

Use the other model to predict the value of y for x=5.

Round your answer to the nearest whole number and do not include units.

Question 32
32.

Person A: Exponential Equation

Using Desmos, create an exponential regression equation. Round to 2 decimal places. Type the regression equation here.

Question 33
33.

Type R2 (round to 4 decimal places)

Question 34
34.

Person B: Quadratic Equation

Using Desmos, create a quadratic regression equation. Round to 2 decimal places. Type the regression equation here.

Question 35
35.

Type R2 (round to 4 decimal places)

Question 36
36.

Question 37
37.

Use the best fit model to predict the value of y for x=42.

Round your answer to the nearest whole number and do not include units.

Select the best fit model:
Quadratic
Exponential
Select the best fit model:
Quadratic
Exponential
Select the best fit model:
Quadratic
Exponential
Select the best fit model:
Quadratic
Exponential
Select the best fit model:
Quadratic
Exponential
Select the best fit model:
Quadratic
Exponential