Korean Journal of Breeding Science :eISSN 2287-5174 / pISSN 0250-3360

Table. 6.

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 =NΣxiyixiΣyiNΣxi2-(Σxi)2=1,419×85,897.043-10,905.615×10,910.9701,419×85,860.890-(10,905.615)2=0.998 =NΣxiyixiΣyiNΣxi2-(Σxi)2=1,392×530,700.122-25,989.378×25,989.3861,392×530,699.924-(25,989.378)2=1.000
Korean J Breed Sci 2019;51:298-317 https://doi.org/10.9787/KJBS.2019.51.4.298
© 2019 Korean J Breed Sci