How does the speed limit affect the number of highway fatalities?

Functions and Linear Equations in Two Variables can be used to study and describe relationship. For a function *f*(*x*), what happens as different values of *x* are plugged in? As *x* increases, does *f*(*x*) increase? Does it decrease? For a linear equation, as *x* increases, what does *y* do? Does it increase or decrease?

What if instead of having the equation, all that is known are the ordered pairs? Given two ordered pairs, the equation of the line can be found. More points on the line can then be found using that equation.

In practice, data is often found without an equation known ahead of time. Often, the points do not fall along a single line, but they are close to a line. As more and more data is collected, a better understanding of the general trend can be found. Once an equation that “fits” the data is known, the equation can be used to predict instances that have not yet occurred.

For this project, you are to explore a real world situation. The topic must include two factors that can be measured numerically. You will need to graph the data and explore the relationship.

As one factor goes up, does the other go up or down? Does it stay the same? Is there no apparent relationship?

- Your project should include the following:

**Question:**"How does _____ affect _____" ?

**Data Collection:**How did you collect your data? Did you use the internet? If so, include the appropriate references. Did you sample friends and family? If so, include a copy of the results. You will need at least 10 pieces of data**Findings:**You will need a hypothesis to answer your question. Graph your data using appropriate choices of scale and axis. You must draw a best fit line. Use your data and find the equation of that line. Your project must also respond to the following questions: What do the variables in your equation represent? What does the equation represent? Was your data positively correlated, negatively correlated, or neither? Give possible explanations for the relationships or absence of relationships that you see in the data. Use your equation to predict two data points not represented by the data. How good do you think these estimates are? Why? What information does the slope indicate?

**Conclusion:**Analysis of the raw data that was collected. Discuss the weaknesses of your study. Give suggestions for further work in the area of your topic. Be sure to reference the situation as you discuss your conclusion. Was your hypothesis right or not? Explain what lead you to the conclusion(s) that you have drawn.

- The body of the paper should have the following format:

Name

Class

Date

“Title”

Intro

Methods

Data

Conclusions

- If you find data through research, you must cite all sources using APA format.

Subject | Mathematics |

Due By (Pacific Time) | 09/17/2013 11:00 pm |

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