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A Medical Statistician Wanted to Examine the Relationship Between the Amount

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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.  Average daily sunshine (hours) 57678643 Skin cancer per 100000711912151075\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} Predict with 95% confidence the incidence of skin cancers per 100 000 in a town with a daily average of 6.5 hours of sunshine.

Grasp the concept and significance of correlation coefficients in predicting the relationship between variables.
Comprehend the advantage of correlational research in making predictions.
Identify the essential steps of experimental research, including manipulation, measurement, and control of variables.
Understand the importance and function of control groups within experimental research.

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