Math 123 Quantitative Reasaning Exam 3 17.) This graph was made based on headcou

Question

Math 123 Quantitative Reasaning Exam 3 17.) This graph was made based on headcounts at the Bloomington y Tech from 1992-2011 Th graphic also includes a trend line model from this data Bloomington Ivy Tech Headcounts 10.000 9,000 ,000 ,000 359.94x 715341 R2 = 0.9164 5,000 ,000 3,000 2,002,4,250 000 1992 194 9 1998 2000 2002 2004 2006 2008 2010 a) Use the trend line equation to estimate the enrollment for 2002. 2 points b.) How does this value compare with the actual value for 20027 2 ponts c.) What can be said about the accuracy of this model? 2 points d.) Interpret the meaning of the slope of the trend line. 2 points e.) Should we use this model to predict headcounts for 2020? Why or Why not? 2 points

Explanation / Answer

a) Enrollment for x=2002 = 359.94*2002-715341 = 5259

b) The actual value is lower than the value on trend line.

c) Considering the R2 value of 0.9164 which is high level of determination, the model can be considered accurate

d) Slope of the line represents the change in headcount as a function or year. We can see an increasing trend and hence the slope is positive

e) The model can be used to predict headcount in 2020 as the slope and intercept will remain the same and y changes based on x.

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