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:

Regression Line

A line through a scatter plot of data points that best expresses the relationship between those points.

Variables

Elements, features, or factors that are likely to vary or change and can be measured, controlled, or manipulated in research.

Negative Linear Manner

A relationship between two variables where an increase in one variable corresponds with a decrease in the other, in a linear fashion.

Scatterplot

A type of plot or graphical representation showing the relationship between two variables by displaying data points on a two-dimensional axis.