Fo*r*this assignment, collect data exhibiting a relatively linear trend, findthe line of best fit, plot the data and the line, interpret the slope,and use the linear equation to make a prediction. Also, find r2 (coefficient of determination) and r (correlationcoefficient). Discuss your findings. Your topic may be that is relatedto sports, your work, a hobby, or something you find interesting. If youchoose, you may use the suggestions described below.

Some Linear examples are attached here.

A **Linear Model Example** and Technology Tips are provided in separate documents.

Tasks for Linear Regression Model (LR)

(LR-1) Describe your topic, provide your data, and cite your source. 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.) Theidea with the discussion posting is two-fold: (1) To share yourinteresting project idea with your classmates, and (2) To give me achance to give you a brief thumbs-up or thumbs-down about your proposedtopic and data. Sometimes students get off on the wrong foot ormisunderstand the intent of the project, and your posting provides anopportunity for some feedback. Remark: Students may choose similar topics, but must have different data sets.For example, several students may be interested in a particular Olympicsport, and that is fine, but they must collect different data, perhapsfrom different events or different gender.(LR-2) Plotthe points (x, y) to obtain a scatterplot. Use an appropriate scale onthe horizontal and vertical axes and be sure to label carefully. Visuallyjudge whether the data points exhibit a relatively linear trend. (Ifso, proceed. If not, try a different topic or data set.)

(LR-3) Find the line of best fit (regression line) and graph it on the scatterplot. State the equation of the line.

(LR-4) State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two.

(LR-5) Find and state the value of r2,the coefficient of determination, and r, the correlation coefficient.Discuss your findings in a few sentences. Is r positive or negative?Why? Is a line a good curve to fit to this data? Why or why not? Is thelinear relationship very strong, moderately strong, weak, ornonexistent?

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

(LR-7) Writea brief narrative of a paragraph or two. Summarize your findings and besure to mention any aspect of the linear model project (topic, data,scatterplot, line, r, or estimate, etc.) that you found particularlyimportant or interesting.