Paper 1 · Paper 1
UGC NET June 2024 Re-Exam (28.08.2024) Shift-I
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
- RSS = 5, TSS = 20
- RSS = 5, TSS = 25
- RSS = 10, TSS = 25
- RSS = 12, TSS = 32
List II
- 0.62
- 0.75
- 0.8
- 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 — The correct match gives R-squared values 0.75, 0.8, 0.6 and 0.62, that is I-b, II-c, III-d, IV-a.
Explanation
★The correct match gives R-squared values 0.75, 0.8, 0.6 and 0.62, that is I-b, II-c, III-d, IV-a.
★R-squared equals 1 minus RSS divided by TSS.
★For RSS 5 and TSS 20, R-squared is 1 minus 0.25, which is 0.75.
★For RSS 5 and TSS 25, R-squared is 1 minus 0.2, which is 0.8.
★For RSS 10 and TSS 25, R-squared is 1 minus 0.4, which is 0.6.
★For RSS 12 and TSS 32, R-squared is about 0.62, giving I-b, II-c, III-d, IV-a.
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