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:

Fascism

A political ideology that emphasizes authoritarian nationalism, centralization of power, suppression of dissent, and often a dictatorial leadership.

Mikhail Gorbachev

A former Soviet statesman whose policies of glasnost and perestroika played significant roles in the demise of the Soviet Union.

Overthrow

The act of removing and replacing a government or ruling system by force.

Holden Caulfield

The fictional protagonist of J.D. Salinger's novel "The Catcher in the Rye," known for his critical outlook on society and struggle with the concept of adulthood.