Question
Which statistical method is most suitable for
quantifying the strength and direction of a linear relationship between two continuous variables?Solution
Explanation: The Pearson correlation coefficient measures the strength and direction of a linear relationship between two continuous variables. It produces a value between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no linear correlation. It is widely used when the variables are normally distributed and have a linear association. For example, in analyzing the relationship between sales revenue and advertising expenditure, the Pearson coefficient can determine how strongly these two variables are related. Option A: The Chi-square test evaluates relationships between categorical variables, not continuous variables. Option C: The Spearman rank correlation is a non-parametric alternative to Pearson’s, suitable for ordinal data or non-linear relationships. Option D: ANOVA tests differences between group means and is not used for correlation analysis. Option E: The Mann-Whitney U test compares medians of two independent samples and does not measure correlation.
There are five persons with different heights. N is shorter than M. J is taller than L. K is shorter than J but taller than M. M is not taller than L. ...
Five persons have different heights, W is taller than R, but shorter than E. R is taller than Q and T. Who is the 2 nd shortest person?
Six persons H, I, J, K, L and M have different weights in kg. I is heavier than J but lighter than H, who is the second heaviest among all. L is lighter...
Six persons (L, M, N, O, P and Q) have different heights. L is taller than N. P is taller than L. Q is shorter than N. No one is taller than M. Q is ta...
All 56 students in a class are standing in a row facing north. Vivek is 25th from the right end and Suman is 12th from left end. ...
There are five students N, O, P, Q and R participating in a match. O gets lesser score than only P and N. Q scores lesser than O and more than R. N does...
Radhika ranks 5th in the class of 53 children. What is her rank from the bottom in the class?
In a row, Soniya is seventh from the left end and Bharti is twelfth from the right end. When they interchange their positions, then Soniya becomes sixt...
Who among the following goes on Wednesday?Â
Bennet is older than Carl but not as old as David. Emma is not as old as Bennet. Who is the oldest of all?