The following table shows the scores of 15 students in mid-term test and final examination of a Mathematics course  in an academic year: 12.8 60.5 13.6 54.5 13 55.5 12.2 59.5 8 66.5 15.8 52.5 7.6 76 9.4 61.5 13.6 56.5 11.4 60 10.6 56 11.6 61.5 16.4 47 14 56 12.8 58 13.8 51 Calculate the correlation coefficient for the sample. Explain the results At the 5% significant level, test whether students’ performances in mid-term test and final examination are correlate

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