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Regression analysis is concerned with
- a)Establishing a mathematical relationship between two variables
- b)Measuring the extent of association between two variables
- c)Predicting the value of the dependent variable for a given value of the independent variable
- d)Both (a) and (c).
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Regression analysis is concerned witha)Establishing a mathematical rel...
Explanation:
Regression analysis is a statistical technique that aims to establish a mathematical relationship between two variables. It is used to measure the extent of association between two variables and to predict the value of the dependent variable for a given value of the independent variable.
Establishing a Mathematical Relationship between Two Variables:
Regression analysis helps in establishing a functional relationship between two variables. In simple linear regression, the relationship between two variables is assumed to be linear, which means that the change in the dependent variable is directly proportional to the change in the independent variable. The mathematical relationship can be expressed as:
Y = a + bX
where Y is the dependent variable, X is the independent variable, a is the intercept, and b is the slope of the line.
Measuring the Extent of Association between Two Variables:
Regression analysis also helps in measuring the extent of association between two variables. The correlation coefficient (r) is used to measure the strength and direction of the relationship between two variables. The value of r ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 1 indicates a perfect positive correlation, and a value of 0 indicates no correlation.
Predicting the Value of the Dependent Variable for a Given Value of the Independent Variable:
Regression analysis also helps in predicting the value of the dependent variable for a given value of the independent variable. Once the mathematical relationship between the two variables is established, the value of the dependent variable can be predicted for any given value of the independent variable. This is done by substituting the value of the independent variable in the equation of the line.
Conclusion:
Regression analysis is a powerful statistical technique that helps in establishing a mathematical relationship between two variables, measuring the extent of association between them, and predicting the value of the dependent variable for any given value of the independent variable.
Regression analysis is a statistical technique that aims to establish a mathematical relationship between two variables. It is used to measure the extent of association between two variables and to predict the value of the dependent variable for a given value of the independent variable.
Establishing a Mathematical Relationship between Two Variables:
Regression analysis helps in establishing a functional relationship between two variables. In simple linear regression, the relationship between two variables is assumed to be linear, which means that the change in the dependent variable is directly proportional to the change in the independent variable. The mathematical relationship can be expressed as:
Y = a + bX
where Y is the dependent variable, X is the independent variable, a is the intercept, and b is the slope of the line.
Measuring the Extent of Association between Two Variables:
Regression analysis also helps in measuring the extent of association between two variables. The correlation coefficient (r) is used to measure the strength and direction of the relationship between two variables. The value of r ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 1 indicates a perfect positive correlation, and a value of 0 indicates no correlation.
Predicting the Value of the Dependent Variable for a Given Value of the Independent Variable:
Regression analysis also helps in predicting the value of the dependent variable for a given value of the independent variable. Once the mathematical relationship between the two variables is established, the value of the dependent variable can be predicted for any given value of the independent variable. This is done by substituting the value of the independent variable in the equation of the line.
Conclusion:
Regression analysis is a powerful statistical technique that helps in establishing a mathematical relationship between two variables, measuring the extent of association between them, and predicting the value of the dependent variable for any given value of the independent variable.
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Regression analysis is concerned witha)Establishing a mathematical relationship between two variablesb)Measuring the extent of association between two variablesc)Predicting the value of the dependent variable for a given value of the independent variabled)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Regression analysis is concerned witha)Establishing a mathematical relationship between two variablesb)Measuring the extent of association between two variablesc)Predicting the value of the dependent variable for a given value of the independent variabled)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Regression analysis is concerned witha)Establishing a mathematical relationship between two variablesb)Measuring the extent of association between two variablesc)Predicting the value of the dependent variable for a given value of the independent variabled)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer?.
Regression analysis is concerned witha)Establishing a mathematical relationship between two variablesb)Measuring the extent of association between two variablesc)Predicting the value of the dependent variable for a given value of the independent variabled)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Regression analysis is concerned witha)Establishing a mathematical relationship between two variablesb)Measuring the extent of association between two variablesc)Predicting the value of the dependent variable for a given value of the independent variabled)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Regression analysis is concerned witha)Establishing a mathematical relationship between two variablesb)Measuring the extent of association between two variablesc)Predicting the value of the dependent variable for a given value of the independent variabled)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer?.
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