Compute the Linear Correlation Coefficient Between the Two Variables and Determine

question 54

Multiple Choice

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table below shows the ages and weights (in pounds) of 9 randomly selected tennis coaches.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Age, } \mathrm{x} & 33 & 36 & 40 & 43 & 46 & 48 & 52 & 56 & 60 \\\hline \text { Weight (pounds) , } \mathrm{y} & 117 & 121 & 124 & 132 & 143 & 146 & 149 & 151 & 153 \\\hline\end{array}$

• A) \(\mathrm { r } = 0.960\); linear relation exists
• B) \(r = 0.960\); no linear relation exists
• C) \(\mathrm { r } = 0.908\); no linear relation exists
• D) \(\mathrm { r } = 0.908\); linear relation exists

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Definitions:

Feature Detectors

Neurons in the brain that respond to specific features of a stimulus, such as edges, lines, or movements.

Electrophysiological Recordings

Techniques used to measure the electrical activity of neurons or muscle cells, often for research or diagnostic purposes.

Signal-Detection

A theory or methodology focused on distinguishing between information-bearing patterns and random noise in the process of signal processing or perception.

Visual Cortex

The region of the brain responsible for processing visual information, located in the occipital lobe.