Instructions

collect data exhibiting a relatively linear trend, find the line of best fit, plot the data and the line, interpret the slope, and use the linear equation to make a prediction. Also, findr²(coefficient of determination) andr(correlation coefficient). Discuss your findings. Your topic may be that is related to sports, your work, a hobby, or something you find interesting. If you choose, you may use the suggestions described below.

Tasks for Linear Regression Model (LR)

[15] (LR-1)Describe yourtopic, provide yourdata, and cite yoursource.Collect at least 8 data points.Label appropriately. (Highly recommended: Post this information in the Linear Model Project discussion as well as in your completed project.Include a brief informative description in the title of your posting.Each student must use different data.) [15] (LR-2)Plot the points (x,y) to obtain ascatterplot. Use an appropriate scale on the horizontal and vertical axes and be sure to label carefully.Visually judge whether the data points exhibit a relatively linear trend. (If so, proceed. If not, try a different topic or data set.)

[15] (LR-3)Find theline of best fit(regression line) andgraphit on the scatterplot.State theequationof the line.

[10] (LR-4)State theslopeof the line of best fit. Carefullyinterpretthe meaning of the slope in a sentence or two.

[15] (LR-5)Find and state the value ofr², the coefficient of determination, andr, the correlation coefficient. Discuss your findings in a few sentences. Isrpositive or negative? Why? Is a line a good curve to fit to this data? Why or why not? Is the linear relationship very strong, moderately strong, weak, or nonexistent?

[15] (LR-6)Choose a value of interest and use the line of best fit to make anestimate or prediction. Show calculation work.

[15] (LR-7)Write a briefnarrativeof a paragraph or two. Summarize your findings and be sure to mention any aspect of the linear model project (topic, data, scatterplot, line,r, or estimate, etc.) that you found particularly important or interesting.