Curve-fitting Project - Linear Model ***CHOOSE A TOPIC****SEEBELOW
Instructions
For this assignment, collect data exhibiting a relatively lineartrend, find the line of best fit, plot the data and the line,interpret the slope, and use the linear equation to make aprediction. Also, find r2 (coefficient of determination) and r(correlation coefficient). Discuss your findings. Your topic may bethat is related to sports, your work, a hobby, or something youfind interesting. If you choose, you may use the suggestionsdescribed below.
A Linear Model Example and Technology Tips are provided in separatedocuments.
MY TOPIC IS: The rising Homeless population of the United Statesfrom 2010 to 2018. PLEASE CITE DATA SOURCES as well ifpossible
Tasks for Linear Regression Model (LR)
(LR-1) Describe your topic, provide your data, and cite yoursource. Collect at least 8 data points. Label appropriately.(Highly recommended: Post this information in the Linear ModelProject discussion as well as in your completed project. Include abrief informative description in the title of your posting. Eachstudent must use different data.)
The idea 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 yourproposed topic and data. Sometimes students get off on the wrongfoot or misunderstand the intent of the project, and your postingprovides an opportunity for some feedback. Remark: Students maychoose similar topics, but must have different data sets. Forexample, several students may be interested in a particular Olympicsport, and that is fine, but they must collect different data,perhaps from different events or different gender.
(LR-2) Plot the points (x, y) to obtain a scatterplot. Use anappropriate scale on the horizontal and vertical axes and be sureto label carefully. Visually judge whether the data points exhibita relatively linear trend. (If so, proceed. If not, try a differenttopic or data set.)
(LR-3) Find the line of best fit (regression line) and graph it onthe scatterplot. State the equation of the line.
(LR-4) State the slope of the line of best fit. Carefully interpretthe meaning of the slope in a sentence or two.
(LR-5) Find and state the value of r2, the coefficient ofdetermination, and r, the correlation coefficient. Discuss yourfindings in a few sentences. Is r positive or negative? Why? Is aline 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 tomake an estimate or prediction. Show calculation work.
(LR-7) Write a brief narrative of a paragraph or two. Summarizeyour findings and be sure to mention any aspect of the linear modelproject (topic, data, scatterplot, line, r, or estimate, etc.) thatyou found particularly important or interesting.
You may submit all of your project in one document or a combinationof documents, which may consist of word processing documents orspreadsheets or scanned handwritten work, provided it is clearlylabeled where each task can be found. Be sure to include your name.Projects are graded on the basis of completeness, correctness, easein locating all of the checklist items, and strength of thenarrative portions
