# Linear model project, please help

**Question description**

**Curve-fitting Project - Linear Model****(due 4/26/15)**

**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 *r*^{2} (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.

(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 *r*^{2}, 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.

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.

Here is my data to work on below: (North Carolina Home values since 1940)

Old YearsNew Year’s VALUES

1940 0 $18,800

1950 1 $29,700

1960 2 $39,400

1970 3 $49,200

1980 4 $71,300

1990 5 $84,100

2000 6 $108,300

2010 7 $174,600

## Tutor Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors