A Medical Statistician Wanted to Examine the Relationship Between the Amount

question 106

Short Answer

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 standard error of estimate, and describe what this statistic tells you about the regression line.

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Definitions:

Concrete Operational Thought

A phase in Piaget's cognitive development theory where kids develop the capacity to logically reason about tangible events.

Moral Realistic Thought

A stage of moral development where individuals believe that rules are absolute and that morality is determined by the consequences of actions.

Transductive Thought

A type of reasoning commonly seen in children where conclusions are made based on specific examples, rather than general logic.

Formal Operational

A stage in Jean Piaget's theory of cognitive development during which individuals develop the ability to think abstractly and logically.