Curve Fitting Assignment

 

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.

 

TOPIC: To examine the Summer Olymipics Gymnastics Horizontal Bar competition, Gold Medal winning results.

 

Data was collected from the following website ~ http://www.databaseolympics.com/

 

YEAR	POINTS
1980	19.825
1984	20.00
1988	19.9
1992	9.875
1996	9.85
2000	9.787
2004	9.812
2008	16.200

 

  

(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