Curve-fitting Project – Linear Model(due 4/26/15)
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. 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)
(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.
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
(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.
You may submit all of your project in
one document or a combination of documents, which may consist of word
processing documents or spreadsheets or scanned handwritten work, provided it
is clearly labeled where each task can be found.
is my data to work on below: (North Carolina Home values since 1940)
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