Allied & ICAR Exam Bank • ALLIED_2755 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Correlation and regression analysis

Question Statement:

If the correlation coefficient between $X$ and $Y$ is $r = 0.7$, the percentage of unexplained variation in $Y$ ($1 - r^2$) in percent is:

Answer Key:

51

Step-by-Step Solution & Explanation

$r^2 = 0.49 = 49\%$. Unexplained variation is $100\% - 49\% = 51\%$.
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