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

question 44

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.

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Definitions:

Positively Transformed

A process or entity that has undergone change in a manner that results in improved conditions or qualities.

Shared Value View

A business strategy focusing on creating economic value in a way that also creates value for society by addressing its needs and challenges.

Power Distribution

The way in which authority and influence are spread across individuals and groups within an organization.

Institutions

Established organizations or foundations, especially ones dedicated to education, public service, or culture run by a group of people.