A Medical Statistician Wanted to Examine the Relationship Between the Amount

question 138

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. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Average daily sunshine (hours) } & 5 & 7 & 6 & 7 & 8 & 6 & 4 & 3 \\\hline \text { Skin cancer per } 100000 & 7 & 11 & 9 & 12 & 15 & 10 & 7 & 5 \\\hline\end{array}$$ Find the least squares regression line.

---

Definitions:

Retreating Glacier

A glacier that is decreasing in size and moving backward over time, often an indicator of climate change.

Rock Exposed

Areas where the bedrock or geological formations are visible on the earth's surface without vegetation cover.

Mature Ecosystem

An ecological community that has reached a stable stage of ecological succession, featuring well-established species relationships and biodiversity.

Nutrient Recycling

The process of reusing essential elements and compounds, such as carbon and nitrogen, within an ecosystem.