Identifying Weakest Correlation Coefficient
The strength of a linear relationship between two variables is measured by the correlation coefficient, denoted as $r$. The value of $r$ ranges from -1 to +1.
- A value close to +1 indicates a strong positive linear relationship.
- A value close to -1 indicates a strong negative linear relationship.
- A value close to 0 indicates a weak or no linear relationship.
To determine the weakest degree of relationship, we need to examine the absolute value of the correlation coefficient ($|r|$). The smallest absolute value represents the weakest relationship because it is closest to 0.
Comparing Correlation Strengths
Let's compare the absolute values of the given options:
- $|-0.84| = 0.84$
- $|-0.56| = 0.56$
- $|+0.75| = 0.75$
- $|+0.08| = 0.08$
Comparing these absolute values (0.84, 0.56, 0.75, and 0.08), the smallest value is 0.08.
Therefore, the correlation coefficient that represents the weakest degree of relationship is +0.08.
Important Questions from Correlation Analysis - Teaching
- Arrange the following in terms of increasing order of the minimum number of variables required for their
computation:
A. Mean
B. First order correlation
C. Correlation coefficient
D. Second order correlation
Choose the correct answer from the options given below: - Match List I with List IIChoose the correct answer from the options given below:
LIST I LIST II A. An inferential test used to determine effect size for a chi-square test; the correlation used when both measured variables are dichotomous and nominal I. Point-biserial correlation coefficient B. The correlation used when one of its variables is measured on a dichotomous nominal scale and the other is measured on an interval or ratio scale II. Regression analysis C. A procedure that allows to predict an individual's score on one variable based on knowing one or more variables III. Partial correlation D. A correlational technique that involves measuring three variables and then statistically removing the effect of the third variable from the correlation of the remaining two variables IV. Phi-coefficient - Which of the following is correct about correlation coefficient
A. The Pearson correlation is used to score variables
B. The Spearman correlation is used for nominal variable
C. The numerical size of the correlation ranges from -0.1 to +0.1
D. The Spearman correlation is used for internal variable
Choose the correct answer from the options given below: - In a study, a researcher wants to eliminate the effect of one variable in a bid to find out the pure relationship between two variables of his/her interest. He/She should be advised to use which of the following methods of computing coefficient of correlation ?
Assertion (A) : There is a positive co-relation between literacy and primary education.
Reason (R) : It has been found that total literate districts have shown increase in enrolment at primary level.
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