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Questions › IIT JAM › IIT JAM 2025 › Q41
1 markStatistics › Joint distributions, covariance and correlation › The correlation coefficientModerateabout 2 min

IIT JAM 2025 Question 41: Joint distributions, covariance and correlation

The correlation coefficient between xxx and yyy using the following information is ________ (rounded off to two decimal places). ∑i=1100xi=280\sum_{i=1}^{100} x_i=280∑i=1100​xi​=280, ∑i=1100yi=60\sum_{i=1}^{100} y_i=60∑i=1100​yi​=60, ∑i=1100xi2=2384\sum_{i=1}^{100} x_i^2=2384∑i=1100​xi2​=2384, ∑i=1100yi2=117\sum_{i=1}^{100} y_i^2=117∑i=1100​yi2​=117, ∑i=1100xiyi=438\sum_{i=1}^{100} x_i y_i=438∑i=1100​xi​yi​=438.

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Plain-text version

The correlation coefficient between x and y using the following information is (*rounded off to two decimal places*). Σᵢ₌₁¹⁰⁰ xᵢ=280, Σᵢ₌₁¹⁰⁰ yᵢ=60, Σᵢ₌₁¹⁰⁰ xᵢ²=2384, Σᵢ₌₁¹⁰⁰ yᵢ²=117, Σᵢ₌₁¹⁰⁰ xᵢ yᵢ=438.

Also written as: The correlation coefficient between x and y using the following information is (*rounded off to two decimal places*). sum_(i=1)^(100) x_i=280, sum_(i=1)^(100) y_i=60, sum_(i=1)^(100) x_i^2=2384, sum_(i=1)^(100) y_i^2=117, sum_(i=1)^(100) x_i y_i=438.

Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.

What this question tests

This question is on The correlation coefficient, part of Joint distributions, covariance and correlation in Statistics.

The standardised measure of linear association and what it can and cannot show.

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