Project : Types of Modeling Functions



Group Members:

Your project is due on . Feel free to be creative in your presentation. You

must complete a “Confidential Essay” before we record a grade by your name for the project.

Your completed project should include:

1. Your computation of the common differences to determine the best type of function to model

the data. (1 points)

2. A scatter plot for each data set. Be sure to label axes and scales clearly. (1 point)

3. Find the best fit model for each data set. You may use the regression feature of your

calculator. (1 point)

4. Make a graph containing both scatter plot and the modeled equation.

Be sure to label your axes and be accurate in your sketch. (2 points)

5. Discuss the characteristic of the model and its graph:

a) Is it increasing, decreasing, or constant ? (be sure to identify the domain values)

b) Is the rate of change constant, a constant percent, other?

c) What is the end behavior of the graph ? (3 points)

6. Find the x−intercept(s), y− intercept, max/min points, if any exist, then interpret these in the

context of the data. Remember to locate and label these relevant points on your graph. (3 points)

7. Find the initial value your model, then interpret it in the context of the data.

(1 point)

8. Find the domain and range for your model:

a) from a purely mathematical standpoint, then

b) considering the context of the data.

Compare and contrast your answers to a) and b). Explain why they are different. (2 points)

9. Choose an input value not in the data set and make prediction.

a) Choose an input value between two given data values

b) Choose an input value greater than the largest given data value.

Do you think your model is an accurate predictor? Explain.

(2 points)

TOTAL : ( 3 data x 16 pts each = 48 points possible)

Creativity and presentation: (2 points)

(50 possible)

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