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:

Internalized Racism

The personal conscious or subconscious acceptance of the dominant society's racist views, stereotypes, and biases of one's own ethnic group.

Self-Stigmatization

The process by which individuals anticipate or internalize societal stigmas, often leading to feelings of shame or a decrease in self-esteem.

Inner Objectification

involves viewing oneself solely as an object valued for physical appearance or sexual appeal, ignoring personal qualities and capacities.

Ecological Fallacy

A logical error in reasoning where conclusions about individual-level behaviors or attributes are derived from group-level data.