The Data in the Table Below Can Be Used to Explore

question 8

Essay

The data in the table below can be used to explore the association between the rate of television ownership and per capita gross domestic product for several countries. $$\begin{array} { | l | c | c | } \hline & \text { TVs per } 1000 & \begin{array} { c } \text { per capita } \\\text { GDP (USD) }\end{array} \\\hline \text { Algeria } & 105 & 5500 \\\hline \text { Australia } & 554 & 23,200 \\\hline \text { China } & 321 & 3,600 \\\hline \text { Dominican } & & \\\text { Republic } & 95 & 5,700 \\\hline \text { Hungary } & 435 & 11,200 \\\hline \text { Italy } & 528 & 22,100 \\\hline \text { Russia } & 410 & 7,700 \\\hline \text { Syria } & 70 & 3,100 \\\hline \text { United States } & 806 & 36,200 \\\hline\end{array}$$ a)Make a scatterplot showing the trend in television ownership versus per capita GDP.Describe what you see. b)Determine the correlation and comment on its significance.
c)Find the equation of the line of regression.Interpret the slope of the equation.
d)Use your model to predict the rate of TV ownership for India,which has a per capita GDP of $2,200.How much confidence do you have in this prediction? Explain.
e)Discuss the impact that the U.S.A.data exerts on the model.

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Definitions:

Hijras

A traditional third gender or transgender community in South Asia, often described as eunuchs.

Non-Western Cultures

Cultures that originate outside the Western world, encompassing a diverse range of traditions, values, and practices.

Intersex Society

A term that may not represent a coherent societal group but pertains to individuals with physical sex characteristics that do not fit typical binary notions of male or female bodies.

Ambiguously Sexed

Describing individuals whose physical sex characteristics do not clearly align with typical definitions of male or female.