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What is the Pearson correlation coefficient, r, for X and Y based on the data below? X Y 1 14.79 2 12.28 3 11.77
What is the Pearson correlation coefficient, r, for X and Y based on the data below? X Y 1 14.79 2 12.28 3 11.77 4 11.86 5 14.45 There were three formulas for the Pearson correlation coefficient presented in class. In this question, you must use the definitional formula to calculate the correlation coefficient. That formula was: (X Mx)(Y- My) T E(X - Mx)(Y - My) 2 Fill out the rest of the summary table below and then calculate the correlation coefficient. For your convenience, Mx and My have been provided. Keep four decimal places for each value. (Hint: you should not need to round the table values at all.) X MX X Mx (X-Mx)2 Y My Y-My (Y My) (X Mx)(Y - My) 1 3 14.79 13.03 2 3 12.28 13.03 3 3 11.77 13.03 4 3 5 3 15 15 0 11.86 13.03 14.45 13.03 65.15 65.15 0 And now, use the results from the summary table to calculate the correlation coefficient, r. Enter each value rounded to four decimal places. r E(X Mx)(Y - My) E(X-Mx)E(Y - My) 2
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