The table shows quarterly data for motor vehicle taxes collected by the federal government in Australia for the period March 2013 to March 2020.

(a) Develop 2-lag and 4-lag models.

(b) Determine the forecast for the June 2020 quarter.

(c) Compute a Durbin?Watson statistic to determine whether significant autocorrelation is present in the models. Use an alpha of 0.05.

(d) Comment on the appropriateness of the models based on your results in (a) and the goodness of- fit measures.

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Motor vehicle taxes Motor vehicle taxes ($ million) ($ million) Period Period Mar. 13 1454 Dec. 16 1819 Mar. 17 June 13 1557 1784 Sept. 13 1598 June 17 1956 Sept. 17 Dec. 13 1539 2006 Mar. 14 1541 Dec. 17 1891 1707 1894 June 14 Mar. 18 June 18 Sept. 14 1705 2094 Dec. 14 Sept. 18 1575 2163 Mar. 15 1502 Dec. 18 2078 June 15 1677 Mar. 19 2011 Sept. 15 1760 June 19 2216 Dec. 15 1714 Sept. 19 2259 Mar. 16 1656 Dec. 19 2148 June 16 2121 1787 Mar. 20 Sept. 16 1903