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. 2017 Feb 1;12(2):e0169143. doi: 10.1371/journal.pone.0169143

Table 2. Regression equations to calculate language variable grade levels.

Language variable (original units) Grade level equivalent R-squared
Sentence length (x = words/sentence) y = 1·1675x - 8·4861 0·98
Word length (x = syllables/word) y = 28·644x - 34·572 0·99
Word familiarity (x = arbitrary units, 0–700) y = -0·5718x + 333·94 0·98
Word imagability (x = arbitrary units, 0–700) y = -0·4147x + 184·77 0·81