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Posts: 225
2 weeks ago
Students A growing school district tracks the student population growth over the years from 2008 to 2013. Here are the regression results and a residual plot.

a. Explain why despite a high R-sq, this regression is not a successful model.
To linearize the data, the log (base 10) was taken of the student population. Here are the results.

b. Describe the success of the linearization.
c. Interpret R-sq in the context of this problem.
d. Predict the student population in 2014.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
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wrote...
Posts: 241
2 weeks ago
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a. Even though R-sq = 98.7%, the residual plot has a curved pattern. Also, we believe that populations grow exponentially, so a linear model is probably not appropriate.
b. The residual plot has a slight curve, but this seems to be an improvement on our first model. Also, taking the log of a population growth is a correct model choice.
c. 99.4% of the variability in the log of student population is successfully explained by the regression on year.
d. 2.871 + 0.0389*14 = 3.4156; 103.4156 = 2604 students
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Slight Smile Good luck on the rest
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