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

question 37

Multiple Choice

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 $( \mathrm { y } )$ is $y = 67.3 + 1.07 x$ . The same data yield $r = 0.224$ and $\bar{y} = 75.2$ . What is the best predicted test score for a student who spent 2 hours preparing for the test?

• A)69.4
• B)78.1
• C)75.2
• D)59.7

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Definitions:

Practical

Concerned with actual use or practice rather than with theory or speculation.

Creative

The ability or quality of producing something original and worthwhile, typically through imaginative skill or artistry.

Sternberg's Definition

A conceptual framework proposed by psychologist Robert Sternberg, categorizing intelligence into analytical, creative, and practical components.

Experimental

Pertaining to a method of investigation in the sciences and psychology involving controlled testing and observation to establish cause and effect relationships.