Korean Journal of Breeding Science

Statistic data table for manual calculating NIRS equation.

Number of Observed values (N)	NIRS equation for protein content					NIRS equation for amylose content

	Number of accessions (n=473)					Number of accessions (n=464)

	xi	yi	xi2	yi2	xiyi	xi	yi	xi2	yi2	xiyi
1	6.703	6.650	6.703²	6.650²	6.703*6.650	5.228	6.380	5.228²	6.380²	5.228*6.3
2	8.844	8.840	8.844²	8.840²	8.844*8.840	6.457	6.150	6.457²	6.150²	6.457*6.1
3	8.268	8.220	8.268²	8.2202	8.268*8.820	7.714	6.480	7.714²	6.480²	7.714*6.4
⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅
⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅
⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅	⋅
1,392	⋅	⋅	⋅	⋅	⋅	11.234	11.130	11.234²	11.130²	11.234*11.1
1,419	8.845	8.935	8.845²	8.935²	8.845*8.935

Σxi	10,905.6					25,989.3
Σyi		10,910.9					25,989.3
Σxi2			85,860.8					530,699.9
Σyi2				85,972.6					532,102.7
Σxiyi					85,897.0					530,700.1
(Σxi)2	10,905.615²					25,989.378²
N	1,419					1,392
(Σxi)2 N	10,905.61521,419					25,989.37821,392

R²	=(Σxiyi-ΣxiΣyiN)2[Σxi2-(Σxi)2N][Σyi2-(Σyi)2N]=(85,897.043-10,905.615×10,910.9701,419)2[85,860.890-(10,905.615)21,419][85,972.685-(10,910.970)21,419]=0.981					=(Σxiyi-ΣxiΣyiN)2[Σxi2-(Σxi)2N][Σyi2-(Σyi)2N]=(530,700.122-25,989.378×25,989.3861,392)2[530,699.924-(25,989.378)21,392]532,102.792-(25,989.386)21,392]=0.970

Slope	=NΣxiyi-ΣxiΣyiNΣxi2-(Σxi)2=1,419×85,897.043-10,905.615×10,910.9701,419×85,860.890-(10,905.615)2=0.998					=NΣxiyi-ΣxiΣyiNΣxi2-(Σxi)2=1,392×530,700.122-25,989.378×25,989.3861,392×530,699.924-(25,989.378)2=1.000