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?

Question

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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The Answer of 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?

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