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    Question

    Which of the following statistical methods is most

    appropriate for analyzing the relationship between two continuous variables?
    A Chi-Square Test Correct Answer Incorrect Answer
    B Pearson Correlation Coefficient Correct Answer Incorrect Answer
    C T-test Correct Answer Incorrect Answer
    D ANOVA Correct Answer Incorrect Answer
    E Logistic Regression Correct Answer Incorrect Answer

    Solution

    The Pearson Correlation Coefficient is a statistical method used to measure the strength and direction of the linear relationship between two continuous variables. Its value ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no correlation. The Pearson coefficient assumes that the relationship between the variables is linear, and the variables are normally distributed. This method is commonly used in fields like economics, social sciences, and natural sciences to quantify the degree of correlation between two variables. • Why this is correct: The Pearson Correlation Coefficient is the most direct and widely-used method for analyzing the linear relationship between two continuous variables. Why Other Options Are Incorrect: 1. Chi-Square Test: The Chi-Square test is used for categorical data, not continuous variables. 2. T-test: The T-test is used for comparing the means of two groups, not for assessing the relationship between two continuous variables. 3. ANOVA: ANOVA is used for comparing the means of more than two groups, not for analyzing the relationship between two continuous variables. 4. Logistic Regression: Logistic regression is used for binary outcomes (categorical data), not for examining the relationship between two continuous variables.

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