The Table Below Shows the Number of Licensed Hotels with at Least

The table below shows the number of licensed hotels with at least 15 rooms in New South Wales from March 2005 to June 2015. $\begin{array}{|l|r|l|r|}\hline \begin{array}{l}\text { Quarter- } \\\text { Year }\end{array} & \text { Number } & \begin{array}{l}\text { Quarter- } \\\text { vear }\end{array} & \text { Number } \\\hline \text { Mar-2005 } & 199 & \text { Jun-2010 } & 209 \\\hline \text { Jun-2005 } & 199 & \text { Sep-2010 } & 207 \\\hline \text { Sep-2005 } & 198 & \text { Dec-2010 } & 206 \\\hline \text { Dec-2005 } & 199 & \text { Mar-2011 } & 207 \\\hline \text { Mar-2006 } & 202 & \text { Juп-2011 } & 205 \\\hline \text { Jun-2006 } & 205 & \text { Sep-2011 } & 206 \\\hline \text { Sep-2006 } & 203 & \text { Dec-2011 } & 205 \\\hline \text { Dec-2006 } & 201 & \text { Mar-2012 } & 209 \\\hline \text { Mar-2007 } & 202 & \text { Jun-2012 } & 205 \\\hline \text { Jun-2007 } & 200 & \text { Sep-2012 } & 207 \\\hline \text { Sep-2007 } & 202 & \text { Dec-2012 } & 207 \\\hline \text { Dec-2007 } & 202 & \text { Mar-2013 } & 209 \\\hline \text { Mar-2008 } & 201 & \text { Jun-2013 } & 209 \\\hline \text { Jun-2008 } & 203 & \text { Sep-2013 } & 208 \\\hline \text { Sep-2008 } & 204 & \text { Dec-2013 } & 208 \\\hline \text { Dec-2008 } & 203 & \text { Mar-2014 } & 208 \\\hline \text { Mar-2009 } & 203 & \text { Jun-2014 } & 208 \\\hline \text { Jun-2009 } & 206 & \text { Sep-2014 } & 241 \\\hline \text { Sep-2009 } & 203 & \text { Dec-2014 } & 244 \\\hline \text { Dec-2009 } & 210 & \text { Mar-2015 } & 244 \\\hline \text { Mar-2010 } & 208 & \text { Jun-2015 } & 243 \\\hline\end{array}$ a. Plot the time series.
b. When did the number of licensed hotels with at least 15 rooms in New South Wales grow fastest?