A Medical Statistician Wanted to Examine the Relationship Between the Amount

question 43

Essay

A medical statistician wanted to examine the relationship between the amount of sunshine (x)and incidence of skin discolorations (y).As an experiment he found the number of skin discolorations detected per 100,000 of population and the average daily sunshine in eight counties around the country.These data are shown below.
$$\begin{array} {| l | c c c c c c c c | } \hline \text { Average Daily Sumshine } & 5 & 7 & 6 & 7 & 8 & 6 & 4 & 3 \\\hline \text { Skin Discolorations per 100,000 } & 7 & 11 & 9 & 12 & 15 & 10 & 7 & 5 \\\hline\end{array}$$ Predict with 95% confidence the skin discolorations per 100,000 in a county with a daily average of 6.5 hours of sunshine.

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Definitions:

Induced Consumption

Consumer spending that increases when income increases and decreases when income decreases, other than spending necessary for basic needs.

Disposable Income

Monetary sums available to households for the prioritization of spending and saving after income tax payouts.

Disposable Income

Money in hand for households dedicated to saving and spending after navigating through income taxes.

APS

The ratio of savings to income, indicating the proportion of income that is saved rather than spent.