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 Period (t) Enrollment (1,000) 2001 2002 2003 2004 2005 2006 2007 2036 2009 1 2 3 4 5 6 7 18 9 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. 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 HSE for this time series. (Round your answers to two decimal places) Do- ( What is the forecast for year 10 ( 1,000s)? (Round your answer to one decimal place) thousand students

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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B9

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 Period (t) Enrollment (1,000)
2001
2002
2003
2004
2005
2006
2007
2038
2009
1
2
3
4
5
6
7
8
9
6.7
8.3
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.
The time series plot shows a nonlinear trend.
The time series plot shows a horizontal pattern.
The time series plot shows a linear trend.
(b) use simple linear regression analysis to find the parameters for the line that minimizes HSE for this time series. (Round your answers to two decimal places)
"
D₁
to What is the forecast for year 10 ( 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 Period (t) Enrollment (1,000) 2001 2002 2003 2004 2005 2006 2007 2038 2009 1 2 3 4 5 6 7 8 9 6.7 8.3 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. The time series plot shows a nonlinear trend. The time series plot shows a horizontal pattern. The time series plot shows a linear trend. (b) use simple linear regression analysis to find the parameters for the line that minimizes HSE for this time series. (Round your answers to two decimal places) " D₁ to What is the forecast for year 10 ( 1,000s)? (Round your answer to one decimal place) thousand students
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