Applicants for a particular job that involves extensive travel in Spanish speaking countries must take a proficiency test in Spanish.
The sample data below was obtained in a study of the relationship between the number ofs of years applicants have studied Spanish and their score on the test.

Number of years (x) 3 4 4 2 5 3 4 5 3 2.
Score (y) 57 78 72 58 89 63 73 84 75 48

A.) What is the correlation coefficient r².
B.) At the 5% level of significance, do the data provide sufficient evidence to conclude that the slope of the population regression line is not zero and hence that the number of years of study is useful as a predictor of score on the test?