A Medical Statistician Wanted to Examine the Relationship Between the Amount

question 11

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.

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Definitions:

Increase Blood Sugar

Increasing blood sugar refers to a rise in glucose levels in the bloodstream, often a result of dietary intake, stress, or health conditions like diabetes.

Adrenal Glands

Small glands located on top of each kidney, which produce hormones such as adrenaline and cortisol, crucial for stress response and metabolism.

Hormones

Chemical messengers produced by glands in the endocrine system, which travel through the bloodstream to regulate the activities of various organs and cells.

Fight-Or-Flight Response

A physiological reaction that occurs in response to a perceived harmful event, attack, or threat to survival, preparing the body to either fight or flee.