A Medical Statistician Wanted to Examine the Relationship Between the Amount

A medical statistician wanted to examine the relationship between the amount of sunshine (x) and incidence of skin discolorations (y). As an experiment he found the number of skin discolorations detected per 100,000 of population and the average daily sunshine in eight counties around the country. These data are shown below. $$\begin{array} { | l | c c c c c c c c| } \hline \text { Average Daily Sunshine } & 5 & 7 & 6 & 7 & 8 & 6 & 4 & 3 \\\hline \text { Slin Disculorations per 100,000 } & 7 & 11 & 9 & 12 & 15 & 10 & 7 & 5 \\\hline\end{array}$$ Predict with 95% confidence the skin discolorations per 100,000 in a county with a daily average of 6.5 hours of sunshine.