Q90 · CSIR-NET Chemistry, December 2011

Paper: CSIR-NET December 2011 · Subject: Physical Chemistry · Chapter: Data Analysis · Topic: Regression Fitting · Marks: 2 · Difficulty: Medium

In least square fitting of a data set $\left\{\mathrm{X}_{\mathrm{i}} \mathrm{Y}_{\mathrm{i}}\right\}$ to the equation $\mathrm{Y}=$ A.X, the regression coefficient (A) is estimated by
(a)$\Sigma \mathrm{Y}_{\mathrm{i}}^{2} / \Sigma \mathrm{X}_{\mathrm{i}}^{2}$
(b)$\Sigma \mathrm{X}_{\mathrm{i}} \mathrm{Y}_{\mathrm{i}} / \Sigma \mathrm{X}_{\mathrm{i}}^{2}$
(c)$\Sigma \mathrm{X}_{\mathrm{i}} \mathrm{Y}_{\mathrm{i}} / \Sigma \mathrm{Y}_{\mathrm{i}}^{2}$
(d)$\Sigma \mathrm{X}_{\mathrm{i}}^{2} / \Sigma \mathrm{Y}_{\mathrm{i}}^{2}$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
Minimising Σ(Y_i − AX_i)² gives A = ΣX_iY_i / ΣX_i².

Study loop for Data Analysis

1. Practise the PYQsPrevious-year questions, with answers

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