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

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?