A Private Organization Conducted a Survey in 9 Regions of the Country

Essay

A private organization conducted a survey in 9 regions of the country to determine the average weekly
spending in dollars per person on tobacco products and alcoholic beverages. The data are listed below. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Region } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Alcohol spending, } \mathrm { x } & \$ 12.80 & \$ 13.20 & \$ 9.50 & \$ 10.30 & \$ 9.80 & \$ 11.70 & \$ 10.00 & \$ 8.90 & \$ 11.60 \\\text { Tobacco spending, y } & \$ 8.50 & \$ 7.60 & \$ 6.90 & \$ 6.80 & \$ 6.80 & \$ 5.70 & \$ 6.50 & \$ 4.90 & \$ 7.00\end{array}$$ a)Construct a scatter plot of the data letting x represent spending on alcohol and y represent spending on
tobacco.
b)Find the regression line.
c)Find the coefficient of determination. What can you conclude?
d)Find the standard error of estimate, $\mathrm { s } _ { \mathrm { e } }$ e)Construct a 95% prediction interval for the weekly spending on tobacco when the amount spent on alcohol is
$9.50.