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# Example of a quadratic model

You will need to locate data that can be modeled using a quadratic function. Keep in mind that good candidates for quadratic models have data that both increases and decreases. Once again, I encourage you to use either online or print resources, and I would also refer you to the textbook website which has some website references for you to check.

Once you have chosen your data set, include in your paper the following elements

1. A copy of the original data (with reference) and brief discussion of why you chose it.

2. A quadratic model for the data (calculated using regression on your calculator). Be sure to be clear about what each of your variables represents.

3. A discussion of the vertex of the quadratic model: what is the vertex and what does it mean in the context of the situation?

4. A discussion of the x- and y-intercepts of the model and what they mean in the context of the situation.

5. A discussion of model breakdown (this may also come into play when discussing some of the intercepts, above).

#### Solution Preview

You will need to locate data that can be modeled using a quadratic function. Keep in mind that good candidates for quadratic models have data that both increases and decreases. Once again, I encourage you to use either online or print resources, and I would also refer you to the textbook website which has some website references for you to check.

Once you have chosen your data set, include in your paper the following elements

1. A copy of the original data (with reference) and brief discussion of why you chose it.

2. A quadratic model for the data (calculated using regression on your calculator). Be sure to be clear about what each of your variables represents.

3. A discussion of the vertex of the quadratic model: what is the vertex and what does it mean in the context of the situation?

4. A discussion of the x- and y-intercepts of the model and what they mean in the context of the situation.

5. A discussion of model breakdown (this may also come into play when discussing some of the intercepts, above).

I went to one of the websites mentioned on the textbook website (http://www.census.gov/compendia/statab/vital_statistics/), and from there, looked at "108 - Age-Adjusted Death Rates by Major Causes: 1960 to 2004." This data is in the first of the Excel spreadsheets.

1. A copy of the original data (with reference) and ...

#### Solution Summary

The solution consists of a real-life data set that can be modeled by a quadratic function, the function that best models the data, and a discussion of the model (intercepts, etc.) and the breakdown of the model.

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