# For each set of data below, draw a scatterplot and decide whether or not the data exhibits approximately periodic behaviour.

For each set of data below, draw a scatterplot and decide whether or not the data exhibits approximately periodic behaviour.

a) $\begin{array}{|cccccccccccccc|}\hline x& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& 11& 12\\ y& 0& 1& 1.4& 1& 0& -1& -1.4& -1& 0& 1& 1.4& 1& 0\\ \hline\end{array}$

b) $\begin{array}{|cccccc|}\hline x& 0& 1& 2& 3& 4\\ y& 4& 1& 0& 1& 4\\ \hline\end{array}$

c) $\begin{array}{|ccccccccc|}\hline x& 0& 0.5& 1.0& 1.5& 2.0& 2.5& 3.0& 3.5\\ y& 0& 1.9& 3.5& 4.5& 4.7& 4.3& 3.4& 2.4\\ \hline\end{array}$

d) $\begin{array}{|cccccccccccc|}\hline x& 0& 2& 3& 4& 5& 6& 7& 8& 9& 10& 12\\ y& 0& 4.7& 3.4& 1.7& 2.1& 5.2& 8.9& 10.9& 10.2& 8.4& 10.4\\ \hline\end{array}$

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a) The graph exhibits approximately periodic behaviour.

b) Given information is not enough to determine whether the bahaviour is periodic.

c) Given information is not enough to determine whether the bahaviour is periodic.

d) Information does not exhibit a periodic behaviour.