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Consider the following statements relating to correlation and regression:
Statement-I: Correlation is independent of change of scale, but not of origin
Statement-II: Correlation denotes co variability between the variables
Statement-III: Regression is a relative measure of relationship between variables
Statement-IV: Regression is independent of change of origin but not of scale
Statement-I: Correlation is independent of change of scale, but not of origin
Statement-II: Correlation denotes co variability between the variables
Statement-III: Regression is a relative measure of relationship between variables
Statement-IV: Regression is independent of change of origin but not of scale
- a)Statements II, III and IV are correct
- b)Statements II and III are correct
- c)Statements I, II and IV are correct
- d)Statements II and IV are correct
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following statements relating to correlation and regressi...
- Correlation is independent of change of scale and origin both. Correlation denotes co-variability between the variables.
- Regression is a relative measure of relationship between variables. Regression is independent to change its origin but not scale.
- Both techniques are used to determine the relationship between two variables. Correlation shows positive relation while regression inverse relation.
Most Upvoted Answer
Consider the following statements relating to correlation and regressi...
- Correlation is independent of change of scale and origin both. Correlation denotes co-variability between the variables.
- Regression is a relative measure of relationship between variables. Regression is independent to change its origin but not scale.
- Both techniques are used to determine the relationship between two variables. Correlation shows positive relation while regression inverse relation.
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Community Answer
Consider the following statements relating to correlation and regressi...
Explanation:
Statement-I: Correlation is independent of change of scale, but not of origin
Correlation measures the strength and direction of the linear relationship between two variables. It is a dimensionless quantity and is not affected by the change in scale. This means that if we multiply or divide all the values of one variable by a constant, the correlation coefficient will remain the same. However, correlation is affected by the change in origin. If we add or subtract a constant from all the values of one variable, the correlation coefficient will change.
Statement-II: Correlation denotes co-variability between the variables
This statement is correct. Correlation measures the extent to which two variables vary together or co-vary. A positive correlation indicates that as one variable increases, the other variable also tends to increase. A negative correlation indicates that as one variable increases, the other variable tends to decrease. A correlation coefficient of zero indicates no linear relationship between the variables.
Statement-III: Regression is a relative measure of the relationship between variables
This statement is incorrect. Regression is not a relative measure but a quantitative measure of the relationship between variables. It allows us to predict the value of one variable based on the value of another variable using a mathematical equation. Regression analysis provides information about the strength, direction, and significance of the relationship between variables.
Statement-IV: Regression is independent of change of origin but not of scale
This statement is incorrect. Regression is affected by both change of origin and change of scale. If we add or subtract a constant from the values of one variable, the regression equation will change. Similarly, if we multiply or divide all the values of one variable by a constant, the slope of the regression equation will change.
Conclusion
From the explanations above, we can conclude that statements II, III, and IV are correct. Therefore, the correct answer is option A.
Statement-I: Correlation is independent of change of scale, but not of origin
Correlation measures the strength and direction of the linear relationship between two variables. It is a dimensionless quantity and is not affected by the change in scale. This means that if we multiply or divide all the values of one variable by a constant, the correlation coefficient will remain the same. However, correlation is affected by the change in origin. If we add or subtract a constant from all the values of one variable, the correlation coefficient will change.
Statement-II: Correlation denotes co-variability between the variables
This statement is correct. Correlation measures the extent to which two variables vary together or co-vary. A positive correlation indicates that as one variable increases, the other variable also tends to increase. A negative correlation indicates that as one variable increases, the other variable tends to decrease. A correlation coefficient of zero indicates no linear relationship between the variables.
Statement-III: Regression is a relative measure of the relationship between variables
This statement is incorrect. Regression is not a relative measure but a quantitative measure of the relationship between variables. It allows us to predict the value of one variable based on the value of another variable using a mathematical equation. Regression analysis provides information about the strength, direction, and significance of the relationship between variables.
Statement-IV: Regression is independent of change of origin but not of scale
This statement is incorrect. Regression is affected by both change of origin and change of scale. If we add or subtract a constant from the values of one variable, the regression equation will change. Similarly, if we multiply or divide all the values of one variable by a constant, the slope of the regression equation will change.
Conclusion
From the explanations above, we can conclude that statements II, III, and IV are correct. Therefore, the correct answer is option A.
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Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer?.
Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UGC NET.
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Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider the following statements relating to correlation and regression:Statement-I: Correlation is independent of change of scale, but not of originStatement-II: Correlation denotes co variability between the variablesStatement-III: Regression is a relative measure of relationship between variablesStatement-IV: Regression is independent of change of origin but not of scalea)Statements II, III and IV are correctb)Statements II and III are correctc)Statements I, II and IV are correctd)Statements II and IV are correctCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice UGC NET tests.
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