Find the Best Predicted Value of Y Corresponding to the Given

question 102

Multiple Choice

Find the best predicted value of y corresponding to the given value of x.
-Six pairs of data yield $\mathrm { r } = 0.789$ and the regression equation $\hat { \mathrm { y } } = 4 \mathrm { x } - 2$ . Also, $\overline { \mathrm { y } } = 19.0$ . What is the best predicted value of $y$ for $x = 5$ ?

• A) \(18.5\)
• B) \(19.0\)
• C) \(22.0\)
• D) \(18.0\)

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Definitions:

Pre-mating Isolation

Mechanisms that prevent mating or fertilization between potential breeding pairs, contributing to species separation and evolution.

Allopatric

Referring to populations of a species that are geographically separated, leading to genetic divergence and potentially speciation.

Allopatric Speciation

A mode of speciation occurring when biological populations of the same species become isolated from each other to an extent that prevents or interferes with genetic interchange.

Parapatric Speciation

A mode of speciation in which new species evolve in adjacent or overlapping geographic areas, often due to differences in habitat or environmental pressures.