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Find the Value of the Linear Correlation Coefficient R (y)( \mathrm { y } )

question 37

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Find the value of the linear correlation coefficient r.
-Based on the data from six students, the regression equation relating number of hours of preparation (x) and test score (y) ( \mathrm { y } ) is y=67.3+1.07xy = 67.3 + 1.07 x . The same data yield r=0.224r = 0.224 and yˉ=75.2\bar{y} = 75.2 . What is the best predicted test score for a student who spent 2 hours preparing for the test?


Definitions:

Nonverbal Part

The component of communication that does not involve words but includes gestures, facial expressions, and body language.

Distance Interactions

this term refers to the communications or actions that occur between individuals or groups who are not physically co-located, often facilitated by technology.

Face-to-Face Interaction

Direct communication between individuals, where they are physically present in the same location, allowing for nonverbal cues.

Representational Gaps

Refers to the differences or discrepancies in the understanding, interpretation, or representation of information between individuals or systems.

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