A Medical Statistician Wanted to Examine the Relationship Between the Amount

question 21

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?

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Definitions:

Fear

An emotional response to perceived threats or danger, often triggering a fight or flight response.

James-Lange Theory

A theory of emotion that suggests emotions arise from physiological reactions to events, rather than causing those reactions.

Physiological Arousal

The body's response to a stimulus, involving increased activity in various systems, such as heart rate and adrenaline production.

Intense Anger

A powerful emotion characterized by strong feelings of dissatisfaction, frustration, or hostility.