Explain why the relationships are linear


Questions:

1. Discuss the question: What types of relationships can be modeled by a linear equation? Explain why the relationships are linear. (Ideas: Linear equations are related to business, home, budgeting, health, and money just to name a few.)

2. Provide one specific example of a linear relationship. Define the equation terms for the relationship (Y, m, X, and b) and write the linear equation in slope-intercept form (Y=mX+b).

3. Gather or estimate reasonably realistic data points for your example and plot the equation on a graph (use at least 5 data points). NOTE: If you have difficulty using the graphing software, please plot the data on graph paper, take a picture of it, and attach it to your discussion post.

4. Use your equation and graph to make a prediction about future values (future points on the graph).

5. Lastly, discuss any sources of error in your model. Can you observer any errors in the data? Will the equation always provide an accurate prediction or might some conditions produce a different (possibly unexpected) outcome?

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Basic Statistics: Explain why the relationships are linear
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