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6.3 Task: Modeling/Regression

Last updated about 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.

1

Person A: Quadratic Equation

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

1

Type R2 (round to 4 decimal places)

1

Person B:
Exponential Equation

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

1

Type R2 (round to 4 decimal places)

1

Select the best fit model:

1

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.

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

1

Person A: Exponential Equation

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

1

Type R2 (round to 4 decimal places)

1

Person B:
Quadratic Equation

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

1

Type R2 (round to 4 decimal places)

1

Select the best fit model:

1

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.

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

1

Person A: Quadratic Equation

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

1

Type R2 (round to 4 decimal places)

1

Person B:
Exponential Equation

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

1

Type R2 (round to 4 decimal places)

1

Select the best fit model:

1

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.

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

1

Person A: Exponential Equation

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

1

Type R2 (round to 4 decimal places)

1

Person B:
Quadratic Equation

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

1

Type R2 (round to 4 decimal places)

1

Select the best fit model:

1

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?


1

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

1

Type R2 (round to 4 decimal places)

1

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

1

Type R2 (round to 4 decimal places)

1

Select the best fit model:

1

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.

1

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.

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

1

Person A: Exponential Equation

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

1

Type R2 (round to 4 decimal places)

1

Person B: Quadratic Equation

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

1

Type R2 (round to 4 decimal places)

1

Select the best fit model:

1

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.