Question: 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
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, findr2(coefficient of determination) andr(correlation coefficient). Discuss your findings.
Data: Goals scored by Lionel Messi for the past 8 years:
2011-2012 : 50
2012-2013: 46
2013-2014: 28
2014-2015: 43
2015-2016: 26
2016-2017: 37
2017-2018: 34
2018-2019: 36
(LR-1)Describe yourtopic as Messi, provide yourdata.Collect at least 8 data points.Label appropriately.
(LR-2)Plot the points (x,y) to obtain ascatterplot. Use an appropriate scale on the horizontal and vertical axes and be sure to label carefully.
(LR-3)Find theline of best fit(regression line) andgraphit on the scatterplot.State theequationof the line.
(LR-4)State theslopeof the line of best fit. Carefullyinterpretthe meaning of the slope in a sentence or two.
(LR-5)Find and state the value ofr2, the coefficient of determination, andr, the correlation coefficient. Discuss your findings in a few sentences. Isrpositive 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 anestimate or prediction. Show calculation work.
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