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. 2020 May 26;21(11):3742. doi: 10.3390/ijms21113742

Table 1.

Linear regression of the calibration curves for (1) AuNP-PEG-COOH and (2) AlPcS4Cl.

(1) ŷ = 0.00265X − 0.0027 (2) ŷ = 0.00344X + 0.011
Sum of X = 150
Sum of Y = 0.384
Mean X = 30
Mean Y = 0.0768
Sum of squares (SSX) = (X − Mx)2 = 1000
Sum of products (SP) = (X − Mx)(Y − My) = 2.65
Sum of X = 150
Sum of Y = 0.571
Mean X = 30
Mean Y = 0.1142
Sum of squares (SSX) = (X − Mx)2 = 1000
Sum of products (SP) = (X − Mx)(Y − My) = 3.44
Regression Equation = ŷ = bX + a
b = SP/SSX = 2.65/1000 = 0.00265
a = MY − bMX = 0.08 − (0 × 30) = −0.0027
ŷ = 0.00265X − 0.0027
Regression Equation = ŷ = bX + a
b = SP/SSX = 3.44/1000 = 0.00344
a = MY − bMX = 0.11 − (0 × 30) = 0.011
ŷ = 0.00344X + 0.011