Find the Value of the Linear Correlation Coefficient R A) $\hat{y} = 10.7 + 1.53 x$

question 33

Multiple Choice

Find the value of the linear correlation coefficient r.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results. $\begin{array}{cc|c|c|c|c|c|c|c|c|c}\text { Productivity } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \\\hline\text { Dexterity } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75\end{array}$

• A) \(\hat{y} = 10.7 + 1.53 x\)
• B) \(\hat{y} = 5.05 + 1.91 \mathrm { x }\)
• C) \(\hat { y } = 2.36 + 2.03 x\)
• D) \(\hat { y } = 75.3 - 0.329 \mathrm { x }\)

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Definitions:

Hyoid Bone

A U-shaped bone in the neck that supports the tongue and provides attachment for muscles of the neck and lower jaw.

Larynx

The voice box located in the neck, responsible for sound production and protecting the trachea against food aspiration.

Cribriform Plate

A portion of the ethmoid bone in the skull that contains small holes to allow for the passage of the olfactory nerves from the nasal cavity to the olfactory bulbs.

Olfaction

The sense of smell, a chemical sense that detects odors or scents through sensory organs in the nose.