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Regression analysis is used for measurin...

Regression analysis is used for measuring the degree of the relationship between the variables. (True/False)

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To determine whether the statement "Regression analysis is used for measuring the degree of the relationship between the variables" is true or false, we can follow these steps: ### Step 1: Understand Regression Analysis Regression analysis is a statistical method used to identify the relationship between a dependent variable and one or more independent variables. It helps in predicting the value of the dependent variable based on the values of the independent variables. **Hint:** Remember that regression focuses on prediction and the relationship between dependent and independent variables. ### Step 2: Understand Correlation Analysis Correlation analysis, on the other hand, specifically measures the strength and direction of the relationship between two variables. It quantifies how closely related the two variables are, without implying a cause-and-effect relationship. **Hint:** Correlation tells us how strongly two variables are related, while regression predicts the value of one variable based on another. ### Step 3: Compare Regression and Correlation While both regression and correlation deal with relationships between variables, they serve different purposes. Regression is used for prediction, while correlation is used to measure the degree of association. **Hint:** Think of regression as a tool for prediction and correlation as a tool for measuring association. ### Step 4: Evaluate the Statement Given that the statement claims that regression analysis measures the degree of relationship between variables, we can conclude that this is incorrect. The correct analysis for measuring the degree of relationship is correlation analysis. **Hint:** Identify the key terms in the statement to determine its accuracy. ### Conclusion The statement "Regression analysis is used for measuring the degree of the relationship between the variables" is **False**. **Final Answer:** False
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-Part II 3. LINEAR REGRESSION (II State whether the following statements are true or false:)
  1. State True or False: The equations of two regression lines are 10x-4y=...

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  2. State True or False: y = 5 + 2.8x and x = 3 + 0.5y be the regression l...

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  3. State true or false: Both the regression coefficients cannot exceed 1

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  4. State True or False: If b(yx)=1.5 and b(xy)=1/3 then r = 1/2. The give...

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  5. Correlation analysis is the theory of games. (True/False)

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  6. State True or False: If b(xy) lt 0 and b(yx) lt 0 then ‘r’ is gt0

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  7. State True or False: The following data is not consistent: byx+ bxy =...

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  8. State True or False: If u=x-a and v= y-b then b(xy)= b(uv).

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  9. State True or False: If equation of regression lines are 3x+2y-26=0 an...

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  10. State True or False b(xy) is the slope of regression line of y on x.

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  11. State True or False: corr(x,x) = 0

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  12. State True or False: corr(x,x)=1

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  13. State True or False: cov(x,x)= variance of x

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  14. Regression analysis is used for measuring the degree of the relationsh...

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  15. State True or False: Regression coefficient of x on y is the slope of ...

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  16. The variable used for predicting the response is called the independen...

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  17. If n = 5,sumx = sumy = 20, sumx^2 = sumy^2 = 90 , sumxy = 76 Find ...

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