Asked by Katamarayudu Balaji on Sep 24, 2024

If the standard deviations of x and y are 12.5 and 10.8,respectively,and the covariance is 118.8,then the coefficient of correlation r is 0.88.

Standard Deviations

A statistic that quantifies the dispersion or variability of a dataset relative to its mean, indicating how spread out the numbers are.

Covariance

A measure of how two random variables change together, indicating the direction of their linear relationship (positive, negative, or zero).

Coefficient of Correlation

A statistical measure that calculates the strength and direction of the relationship between two variables, ranging from -1 to 1.

Evaluate the coefficient of correlation based on the given data and appreciate its significance.
Assess the interplay between covariance, correlation coefficient (r), and the strength and path of linear interactions.

Learning Objectives

Evaluate the coefficient of correlation based on the given data and appreciate its significance.
Assess the interplay between covariance, correlation coefficient (r), and the strength and path of linear interactions.