Match List-I (Total sum of squares TSS and Residual sum of squares RSS) with List-II (R-square of the regression model) and choose the correct answer from the options given below.

List I

i.Model A: RSS = 25, TSS = 60

ii.Model B: RSS = 28, TSS = 60

iii.Model C: RSS = 26, TSS = 60

iv.Model D: RSS = 32, TSS = 60

List II

a.0.46

b.0.57

c.0.53

d.0.58

Ai-a, ii-b, iii-c, iv-d

Bi-b, ii-c, iii-d, iv-a

Ci-c, ii-d, iii-a, iv-b

Di-d, ii-c, iii-b, iv-a ✓ Correct

Correct answer: (D) i-d, ii-c, iii-b, iv-a

Explanation

R squared equals one minus RSS over TSS, giving i-d, ii-c, iii-b, iv-a.

Model A, 25 over 60, yields about 0.58.

Model B, 28 over 60, yields about 0.53.

Model C, 26 over 60, yields about 0.57.

Model D, 32 over 60, yields about 0.46.

A lower residual sum of squares relative to the total marks a better fitting model.

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