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Find the Unexplained Variation for the Paired Data y^=181.342+144.46x\hat { \mathrm { y } } = - 181.342 + 144.46 \mathrm { x }

question 74

Multiple Choice

Find the unexplained 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 y^=181.342+144.46x\hat { \mathrm { y } } = - 181.342 + 144.46 \mathrm { x } . Find the unexplained variation.
 x Height (meters)  1.611.721.781.801.671.88 y Weight (kg) 546270846192\begin{array}{c|rrrrrr}\text { x Height (meters) } & 1.61 & 1.72 & 1.78 & 1.80 & 1.67 & 1.88 \\\hline \text { y Weight }(\mathrm{kg}) & 54 & 62 & 70 & 84 & 61 & 92\end{array}

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Definitions:

Changes

Variations or modifications that occur in any system, context, or entity over time.

Unit Elastic

A situation where the quantity demanded or supplied changes by an exact proportional amount to the price change.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in its price, with high elasticity indicating significant response and low elasticity indicating little to no response.

Oranges

A citrus fruit commonly consumed worldwide, both fresh and in juice form, and used as a commodity in agricultural markets.

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