Perform the Required Correlation Test The Sample Linear Correlation Coefficient Is R = 0

question 17

Essay

Perform the required correlation test. You may presume that the assumptions for regression inferences are met.
-Applicants for a particular job, which involves extensive travel in Spanish speaking countries, must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x)and their score on the test (y). $$\begin{array} { c c c c c c c c c c c } \hline \mathrm { x } & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\ \hline \mathrm { y } & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\ \hline \end{array}$$ The sample linear correlation coefficient is r = 0.911. At the 5% significance level, do the data provide sufficient evidence to conclude that number of years of study and test score are positively linearly correlated?

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Definitions:

Retrieval Cues

Stimuli or signals that help in the recall of information stored in the memory.

Semantic Memories

Refers to a type of long-term memory involving the capacity to recall words, concepts, and facts without related to personal experience.

Episodic Memories

Memories of specific events or episodes, including the contexts and emotions associated with them.

Procedural Memory

A type of long-term memory that involves the recall of how to perform tasks or skills.