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In general, significant improvements can be expected from players who are 19, like Laine, or 20, like Werenski and Matthews (who turns 20 on Sept. 17). Since the start of the 1967-68 season, among those who played in at least 50 games in back-to-back seasons, the average 19-year-old forward improved offensively by 22.4 percent (from 0.61 points per game to 0.74). The average 20-year-old forward improved by 17.0 percent (0.62 to 0.72), and the average 20-year-old defenseman improved by 16.5 percent (0.37 to 0.43).
Those numbers seem high but represent the natural rate of improvement for an average NHL player at age 19 or 20 because of increased ice time and continued development.
However, Laine, Matthews and Werenski are not average players. They are high-scoring players who already are playing big minutes. Laine, a forward, averaged 0.88 points per game in 2016-17, Matthews, a center, averaged 0.84, and Werenski, a defenseman, averaged 0.60. Those rates don't have as much room for improvement.
When limiting the comparison to just enough of the top players in each group to achieve the same number of points per game, the rate of improvement is far more modest than the average player. Laine's group improved by 4.5 percent, to 0.91 points per game, and Matthews' group improved by 9.6 percent, to 0.92. Werenski's group dropped by 2.5 percent, to 0.59.