METHOD VALIDATION · LINEARITY

Linearity Calculator

Enter your calibration data and the calculator computes the OLS regression, Pearson r, % residuals, and intercept significance — matching the Battery Method Validation calculation walkthrough.

Axis Labels

X axis (concentration) Y axis (response)

Calibration Points

n = 5

# x y

Acceptance Criteria

Minimum |r| ICH Q2: r ≥ 0.999 Max residual (%) Typical: ±1.5%

Regression Output

PASS

Dataset

n = 5 x̄ = 100.000 ȳ = 0.967

Coefficients

Slope (b) = 0.009700

Intercept (a) = -0.003000

y = 0.009700x -0.003000

Correlation

r = 0.999999 ≥ 0.999 ✓

r² = 0.999997

Intercept Significance (t-test, α = 0.05)

t = |a| / SE_a = 3.162

df = 3 t_crit = 3.182

Intercept not significant (p > 0.05) ✓

Max Residual

|max| = 0.10% ≤ 1.5% ✓

Residuals — Point by Point

#	x	y_meas	y_fitted	Resid. %
1	50.000	0.482	0.482	+0.00%	✓
2	75.000	0.724	0.725	-0.07%	✓
3	100.000	0.968	0.967	+0.10%	✓
4	125.000	1.209	1.210	-0.04%	✓
5	150.000	1.452	1.452	+0.00%	✓

Linearity criteria met. r = 0.999999 ≥ 0.999 and all residuals within ±1.5%. The y-intercept is not statistically different from zero.

Calibration Curve

y = 0.009700x -0.003000

Residual Plot

% deviation from fitted value · limits ±1.5%

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