$(1).$ In a study of ground motion caused by earthquakes, the peak velocity $($in $\frac{m}{s})$ and peak acceleration $($in $\frac{m}{s}2)$ were recorded for five earthquakes. The results are presented in the following table.

$\backslash$table$[[$Velocity$,1\mathrm{.}54,1\mathrm{.}60,0\mathrm{.}95,1\mathrm{.}30,2\mathrm{.}92],[$Acceleration$,7\mathrm{.}64,8\mathrm{.}04,8\mathrm{.}04,6\mathrm{.}37,3\mathrm{.}25]]$

Compute the correlation coefficient between peak velocity and peak acceleration.

a$.$ Is the correlation coefficient an appropriate summary for these data? Explain why or why not?

b$.$ Someone suggests converting the units from meters to centimeters and from seconds to minutes. What effect would this have on the correlation?