1. Problem 1(20%) Follow the instructions below, create the needed outputs, attach the outputs where required, and explain what is required. Do not attach the full R-screen. If I cannot read your output, the question will receive zero credits. Attach the required plots and tables only. When attaching tables use courier new font, size 8 . Do not leave the question blank. Please start each problem on a new page. If the answer is not related to what the question asks, the question will receive zero credits. Do not share your answers or mistakes. If the instructor finds out that students have shared their answers or mistakes, the students will receive zero credits and the academic honesty policies and procedures will apply (as suggested by the Student Handbook which may be found at Handbook). 1.1. Create the data set "cementprod" from the data set "aus production" that has only the time index and cement variables. The data must cover the period from 1980 to the end of the time series. 1.2. Print a tsibble for cementprod and attach it here. (Use courier new font, size 8) 1.3. Create a plot of the time series cementprod. The plot must include a title, and the axis labels must show the appropriate units. Attach it here. 1.4. Create lagged scatterplots for cementprod. Explain the scatterplots. Attach it here. 1.5. Compute the autocorrelation coefficients for cementprod up to la 10. Explain the autocorrelations. Attach the tsibble here. (Use courier new font, size 8) 1.6. Create a plot of the ACF for cementprod. Explain the ACF