Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment for a certain community college for the nine most recent years. Year 2001 2002 2003 2004 2005 2006 2007 2008 Period (t) 2009 1 2 3 4 5 6 7 8 9 Enrollment (1,000s) 6.7 8.3 8.2 10.4 12.3 13.1 13.5 17.0 17.9 (a) Construct a time series plot. What type of pattern exists in the data? O The time series plot shows a seasonal pattern. O The time series plot shows a nonlinear trend. O The time series plot shows a horizontal pattern. O The time series plot shows a linear trend. (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your answers to two decimal places.) bo = b₁ = (c) What is the forecast for year 10 (in 1,000s)? (Round your answer to one decimal place.) thousand students

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment for a certain
community college for the nine most recent years.
Year
2001
2002
2003
2004
b₁
2005
2006
2007
2008
2009
Period (t)
1
2
3
4
5
6
7
8
9
Enrollment (1,000s)
6.7
8.3
8.2
10.4
12.3
13.1
13.5
17.0
17.9
(a) Construct a time series plot. What type of pattern exists in the data?
O The time series plot shows a seasonal pattern.
O The time series plot shows a nonlinear trend.
The time series plot shows a horizontal pattern.
O The time series plot shows a linear trend.
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your answers to two decimal places.)
bo
(c) What is the forecast for year 10 (in 1,000s)? (Round your answer to one decimal place.)
thousand students
Transcribed Image Text:Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment for a certain community college for the nine most recent years. Year 2001 2002 2003 2004 b₁ 2005 2006 2007 2008 2009 Period (t) 1 2 3 4 5 6 7 8 9 Enrollment (1,000s) 6.7 8.3 8.2 10.4 12.3 13.1 13.5 17.0 17.9 (a) Construct a time series plot. What type of pattern exists in the data? O The time series plot shows a seasonal pattern. O The time series plot shows a nonlinear trend. The time series plot shows a horizontal pattern. O The time series plot shows a linear trend. (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your answers to two decimal places.) bo (c) What is the forecast for year 10 (in 1,000s)? (Round your answer to one decimal place.) thousand students
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