GATE 06

Range Calculator

Determine the validated operating window by confirming linearity, accuracy, and precision simultaneously at each boundary concentration. Range is accepted only when all three parameters pass at every endpoint.

Calibration Curve — used for linearity check at each boundary

Slope (S)

signal / conc

Intercept (b)

signal units

ŷ = S × C + b · residual% = (measured − ŷ) / ŷ × 100

Boundary 1 ALL PASS ✓

Concentration

Linearity PASS ✓

Measured Signal

Max |Residual| (%)

ŷ = 0.00185

residual = 1.62%

accept: ±2.0%

Accuracy PASS ✓

Min Rec%

Max Rec%

RSD max

Spike Recoveries (%)

mean = 98.70%

RSD = 0.46%

accept: 80–120%, RSD ≤ 10%

Precision PASS ✓

RSD max (%)

Replicate Values

mean = 0.5000

SD = 0.0155

RSD = 3.10%

accept: RSD ≤ 10%

Boundary 2 ALL PASS ✓

Concentration

Linearity PASS ✓

Measured Signal

Max |Residual| (%)

ŷ = 0.19100

residual = 0.30%

accept: ±2.0%

Accuracy PASS ✓

Min Rec%

Max Rec%

RSD max

Spike Recoveries (%)

mean = 100.10%

RSD = 0.26%

accept: 90–110%, RSD ≤ 5%

Precision PASS ✓

RSD max (%)

Replicate Values

mean = 20.0000

SD = 0.1404

RSD = 0.70%

accept: RSD ≤ 5%

Validated Range

Boundary	Conc.	Linearity	Accuracy	Precision	Overall
Lower — 0.5 ppm (LOQ)	0.5	✓ 1.62%	✓ 98.70%	✓ 3.10%	PASS
Upper — 20.0 ppm (200% spec)	20	✓ 0.30%	✓ 100.10%	✓ 0.70%	PASS

Range Visualization

✓ Range Accepted

0.5 to 20

Linearity, accuracy, and precision confirmed at all 2 boundary points.