A Medical Statistician Wanted to Examine the Relationship Between the Amount

question 107

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. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Average daily sunshine (hours) } & 5 & 7 & 6 & 7 & 8 & 6 & 4 & 3 \\\hline \text { Skin cancer per } 100000 & 7 & 11 & 9 & 12 & 15 & 10 & 7 & 5 \\\hline\end{array}$$ Calculate the coefficient of determination and interpret it.

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Definitions:

Plant Size

The physical capacity or scale of a manufacturing facility, which can influence production output and operational efficiency.

Factors Of Production

The resources used in the creation of goods or services, traditionally categorized into land, labor, capital, and entrepreneurship.

Short Run

A period in economics where at least one input (like capital) is fixed, limiting the ability of a firm to adjust fully to market changes.

Firm's Costs

The expenditures incurred by a company in the process of producing goods or services, including both fixed and variable costs.