Find the Value of the Linear Correlation Coefficient R A) $\hat{y} = 4.91 + 0.0212 x$

question 11

Multiple Choice

Find the value of the linear correlation coefficient r.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. $\begin{array}{cc}\text { Entering GPA } & \text { Current GPA } \\\hline 3.5 & 3.6 \\3.8 & 3.7 \\3.6 & 3.9 \\3.6 & 3.6 \\3.5 & 3.9 \\3.9 & 3.8 \\4.0 & 3.7 \\3.9 & 3.9 \\3.5 & 3.8 \\3.7 & 4.0\end{array}$

• A) \(\hat{y} = 4.91 + 0.0212 x\)
• B) \(\hat{y} = 5.81 + 0.497 x\)
• C) \(\hat { y } = 2.51 + 0.329 x\)
• D) \(\hat { y } = 3.67 + 0.0313 x\)

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Definitions:

Partially Completed

Refers to goods or projects that are in the process of being completed but are not yet finished.

Motor Engines

Components that convert various forms of energy into mechanical energy, powering automobiles, machinery, and other equipment.

Manufacturing Overhead

All costs incurred in the manufacturing process that are not directly associated with the production of goods, such as utilities for the factory.

Pervasive Costs

Costs that are widespread and difficult to directly relate to any specific product or segment of a business.