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.
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I