Applicants for a 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). Conduct a formal hypothesis test to test for a linear correlation between the number of years a person has studied Spanish and their score on the test. Use a 0.05 significance level.
x | 3 | 4 | 4 | 2 | 5 | 3 | 4 | 5 | 3 | 2 |
y | 57 | 78 | 72 | 58 | 89 | 63 | 73 | 84 | 75 | 48 |
What is the value of r? Round to 3 decimal places.
P value from t table.
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