Mathematics, 12.03.2021 14:50 germaine88
Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The data below show the enrollment for a certain community college for the nine most recent years.
Year amp; Period (t) amp; Enrollment (1000s)
2001 amp; 1 amp; 6.5
2002 amp; 2 amp; 8.1
2003 amp; 3 amp; 8.4
2004 amp; 4 amp; 10.2
2005 amp; 5 amp; 12.5
2006 amp; 6 amp; 13.3
2007 amp; 7 amp; 13.7
2008 amp; 8 amp; 17.2
2009 amp; 9 amp; 18.1
Required:
a. Use simple linear regression analysis, with Period as the independent variable, to find the parameters for the line that minimizes MSE for this time series. Forecast the enrollment for Period 15.
b. Construct a time series plot. What type of pattern exists in the data?
c. Develop the linear trend equation for this time series.
d. What is the forecast for 2010?
Answers: 3
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Because of high tuition costs at state and private universities, enrollments at community colleges h...
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