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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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Question 1
1.

Person A: Quadratic Equation

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

1
Question 2
2.

Type R2 (round to 4 decimal places)

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1
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1
In a laboratory a scientist is watching the growth of a bacteria. The information recorded is listed below.

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Question 7
7.

Person A: Exponential Equation

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

1
Question 8
8.

Type R2 (round to 4 decimal places)

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1
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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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Question 13
13.

Person A: Quadratic Equation

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

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Question 14
14.

Type R2 (round to 4 decimal places)

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1
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The table below shows the amount of a decaying radioactive substance that remain

1
Question 19
19.

Person A: Exponential Equation

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

1
Question 20
20.

Type R2 (round to 4 decimal places)

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1
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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?


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Question 25
25.

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

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Question 26
26.

Type R2 (round to 4 decimal places)

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1
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The following table shows how many miles per gallon a car gets at different speeds.

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Question 32
32.

Person A: Exponential Equation

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

1
Question 33
33.

Type R2 (round to 4 decimal places)

1
1
1
1
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.

Select the best fit model:

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 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.

Select the best fit model:

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 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.

Select the best fit model:

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 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.

Select the best fit model:

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.

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.

Select the best fit model:

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 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.

Select the best fit model:

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.