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

List I

i.RSS = 5, TSS = 20

ii.RSS = 5, TSS = 25

iii.RSS = 10, TSS = 25

iv.RSS = 12, TSS = 32

List II

a.0.62

b.0.75

c.0.8

d.0.6

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

Bi-b, ii-c, iii-d, iv-a ✓ Correct

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

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

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

Explanation

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

Model i, 5 over 20, yields 0.75.

Model ii, 5 over 25, yields 0.80.

Model iii, 10 over 25, yields 0.60.

Model iv, 12 over 32, yields about 0.62.

A higher R squared means residual variation is a smaller share of total variation.

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