Find the Explained Variation for the Paired Data $\hat { y } = - 181.342 + 144.46 x$

question 71

Multiple Choice

Find the explained variation for the paired data.
-The paired data below consists of heights and weights of 6 randomly selected adults. The equation of the regression line is $\hat { y } = - 181.342 + 144.46 x$ . Find the explained variation.
$\begin{array}{c|rrrrrr}x \text { Height (meters) } & 1.61 & 1.72 & 1.78 & 1.80 & 1.67 & 1.88 \\\hline y \text { Weight }(\mathrm{kg}) & 54 & 62 & 70 & 84 & 61 & 92\end{array}$

• A) \(100.06\)
• B) \(979.44\)
• C) \(1149.2\)
• D) \(1079.5\)

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Definitions:

Portfolio

An assortment of financial assets including stocks, bonds, and commodities, as well as cash and near-cash items like mutual funds and ETFs.

Sharpe Ratio

Reward-to-volatility ratio; ratio of excess return to portfolio standard deviation.

Standard Deviation

Standard Deviation is a measure of the dispersion or variability of a set of data points or investment returns around the mean.

Returns

The profit or loss derived from an investment over a particular period, usually expressed as a percentage.