A Medical Statistician Wanted to Examine the Relationship Between the Amount

Essay

A medical statistician wanted to examine the relationship between the amount of sunshine (x) and incidence of skin cancer (y). As an experiment he found the number of skin cancers detected per 100 000 of population and the average daily sunshine in eight country towns around NSW. These data are shown below. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Average daily sunshine (hours) } & 5 & 7 & 6 & 7 & 8 & 6 & 4 & 3 \\\hline \text { Skin cancer per } 100000 & 7 & 11 & 9 & 12 & 15 & 10 & 7 & 5 \\\hline\end{array}$$ Can we conclude at the 1% significance level that there is a linear relationship between sunshine and skin cancer?