An architect student is doing a study and wants to determine the relationship between the heights $($in feet$)$ of a building and the number of stories in the building. The data for a sample of $10$ buildings in certain city are shown below.

Stories x $61513728423539383437$

Height y $846730817798797764717702693667$

Part $1$ out of $2$

Test the significance of the correlation coefficient at $\backslash$alpha $=0\mathrm{.}05$ using the Critical Values for PPMC table.

Critical Value: $\backslash$pm

$.$

Decision: H$0$: $\backslash$rho

H$1$: $\backslash$rho

d$.$f$.$

C$.$V$.=\backslash$pm

Decision:Do not reject.

There is no significant linear relationship between the heights of buildings and the number of stories these buildings contain.