### Correlation Strength in Paired Data Sets**Problem Statement:**If one set of paired data \( x \) and \( y \) has an \( r = 0.58 \) and a different set of paired data \( c \) and \( d \) has an \( r = -0.83 \), then which set of paired data has the stronger correlation? (Assume both sets have the same sample size.)**Options:**a) \( x \) and \( y \) b) \( c \) and \( d \) c) there is no significant difference d) not enough information e) none of these**Solution Explanation:**The correlation coefficient \( r \) measures the strength and direction of the linear relationship between two variables. Correlation coefficients range from \( -1 \) to \( 1 \).- A correlation of \( 1 \) implies a perfect positive linear relationship.- A correlation of \( -1 \) implies a perfect negative linear relationship.- A correlation of \( 0 \) implies no linear relationship.In this problem: - \( r = 0.58 \) for the \( x \) and \( y \) data pair indicates a moderate positive correlation.- \( r = -0.83 \) for the \( c \) and \( d \) data pair indicates a strong negative correlation.To determine which correlation is stronger, we compare the absolute values of the correlation coefficients. - The absolute value of \( 0.58 \) is \( 0.58 \).- The absolute value of \( -0.83 \) is \( 0.83 \).Since \( 0.83 \) is greater than \( 0.58 \), the correlation between \( c \) and \( d \) is stronger than the correlation between \( x \) and \( y \).Therefore, the correct answer is:b) \( c \) and \( d \)

5. If one set of paired data x and y has an r=0.58 and a different set of paired data c and d has an r =- 0.83, then which set of paired data has the stronger correlation? (assume both sets have the same sample size.) a) x and y b) c and d c) there is no significant difference d) not enough information e) none of these

5. If one set of paired data x and y has an r=0.58 and a different set of paired data c and d has an r =- 0.83, then which set of paired data has the stronger correlation? (assume both sets have the same sample size.) a) x and y b) c and d c) there is no significant difference d) not enough information e) none of these

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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