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In linear regressions, the intervals between x values must be the same. The value of that interval is \Delta. In this case, \Delta=1. Step 1: Centered moving average of y's, where n=3 (moving centered avg with 3 members at a time). {y_1+y_2+y_3}\over 3 = \tilde{y}_2. {y_2+y_3+y_4}\over 3 = \tilde{y}_3. {y_3+y_4+y_5}\over 3 = \tilde{y}_4. {y_4+y_5+y_6}\over 3 = \tilde{y}_5. Where \tilde{y}_2...\tilde{y}_6 are the centered moving averages.