Math Linear Project

Instructions

For this assignment, 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, find r2 (coefficient of determination) and r (correlation coefficient). Discuss your findings. 

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.) 

(LR-2) Plot  the points (x, y) to obtain a scatterplot. 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.)

(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 the  linear relationship very strong, moderately strong, weak, or  nonexistent?

(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) Write  a brief narrative of 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.