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 Year Period (t) (1,000s) 2001 1 6.5 2002 2 8.1 2003 3 8.4 2004 4 10.2 2005 5 12.5 2006 6 13.3 2007 7 13.7 2008 2009 8 8 17.2 18.1 (a) Choose the correct time series plot. (i) 20 (iii) (1) wa Enrollment (1000) 13 Period n Period r (ii) H 12 (iv) Enrollment (1000s] Enrollment (1000s| 0 0 Period in 6 Period (4) Plot (iv) What type of pattern "significantly" exists in the data? (Use 1% level of significance when needed) Randomness & Linear trend (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, bo Slope, b = =-7.10 = 3.82 MSE 37.62 (c) What is the forecast for year 10? Do not round your interim computations and round your final answer to two decimal places. 31.1 (d) Use the Holt's method with smoothing constants of 0.3 for alpha and 0.6 for gamma. Find the equation of the forecast line and the MSE for this method. If required, round your answers to two decimal places.