For the Data Below, Determine the Value of the Linear $r$

question 58

Multiple Choice

For the data below, determine the value of the linear correlation coefficient $r$ between $y$ and $x ^ { 2 }$ .
$\begin{array}{r|rrrrr}\boldsymbol{x} & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline \boldsymbol{y} & 1.6 & 4.7 & 9.9 & 24.5 & 39.0\end{array}$

• A) \(0.913\)
• B) \(0.985\)
• C) \(0.990\)
• D) \(0.873\)

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Definitions:

Cultural Revolution

The Cultural Revolution was a sociopolitical movement in China, initiated by Mao Zedong in 1966, aiming to preserve Chinese Communism by purging remnants of capitalist and traditional elements from Chinese society.

Great Leap Forward

A movement led by Mao Zedong in China between 1958 and 1962 aimed at rapidly transforming China into a socialist society through rapid industrialization and collectivization, which unfortunately led to widespread famine.

Central Planning

A system of economy in which all choices about the creation and allocation of goods and services are made by the government or a central body.

Capitalist Form

A socio-economic system characterized by private ownership of capital goods, investments determined by private decision, and prices, production, and the distribution of goods determined mainly by competition in a free market.