Allied & ICAR Exam Bank • ALLIED_2586 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

In a study of 5 data points, $\sum x = 15, \sum y = 30, \sum x^2 = 55, \sum xy = 110$. The slope $b$ of the linear regression line of $y$ on $x$ is:

Answer Key:

2

Step-by-Step Solution & Explanation

Numerator $= 5(110) - (15)(30) = 550 - 450 = 100$. Denominator $= 5(55) - 15^2 = 275 - 225 = 50$. Slope $b = 100 / 50 = 2$.
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