Allied & ICAR Exam Bank • ALLIED_2754 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Correlation and regression analysis

Question Statement:

The coefficient of determination $R^2$ represents:

Options:

  • (A) The proportion of variance in the dependent variable explained by the regression
  • (B) The slope of the regression line
  • (C) The residual sum of squares
  • (D) The standard error

Answer Key:

A

Step-by-Step Solution & Explanation

$R^2 = r^2$ quantifies the percentage of total variation in $Y$ accounted for by the linear relationship with $X$.
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