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Which of the following statement(s) is/are correct with respect to regression coefficients? Statement 1: It measures the degree of linear relationship between two variables. - Mathematics

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Question

Which of the following statement(s) is/are correct with respect to regression coefficients?

Statement 1: It measures the degree of linear relationship between two variables.

Statement 2: It gives the value by which one variable changes for a unit change in the other variable.

Which of the following is correct?

Options

  • Statement 1 is true and statement 2 is false.

  • Statement 2 is true and statement 1 is false.

  • Both the statements are true.

  • Both the statements are false.

MCQ
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Solution

Statement 2 is true and statement 1 is false.

Explanation:

Statement 1 is false because the strength of a linear relationship is measured by correlation (r), not regression. Statement 2 is true because the regression coefficient is the slope and shows the average change in one variable for a 1-unit change in the other.

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