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A regression model is used to express a variable V as a function of another variable X, this implies that
[2002]
  • a)
    There is a causal relationship between Y and X
  • b)
    A value of  X may be used to estimate a value of Y
  • c)
    Values of X exactly determine values of Y
  • d)
    There is no causal relationship between Y and X
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A regression model is used to express a variable V as a function of an...
Explanation:

Regression model:
A regression model is a statistical model that is used to predict or estimate the relationship between a dependent variable (Y) and one or more independent variables (X). In other words, it helps us understand how the value of the dependent variable changes with respect to the independent variable.

Variable V and variable X:
In this context, the variable V represents the dependent variable, and the variable X represents the independent variable. The regression model expresses the variable V as a function of the variable X, which means that the value of V is determined by the value of X.

Causal relationship:
A causal relationship implies that changes in one variable directly cause changes in the other variable. In this case, the regression model does not establish a causal relationship between V and X. It only expresses V as a function of X, without specifying the direction or cause of the relationship.

Estimating the value of V:
The regression model allows us to estimate the value of V based on the value of X. By fitting the regression model to the available data, we can obtain a regression equation that relates V and X. This equation can then be used to estimate the value of V for a given value of X.

Option A:
Therefore, option A is the correct answer. The statement "There is a causal relationship between Y and X" is incorrect because the regression model does not establish causality. It only provides a mathematical relationship between the variables V and X, allowing us to estimate the value of V based on X.

Conclusion:
In summary, a regression model is used to express a variable V as a function of another variable X. This allows us to estimate the value of V based on X, but it does not imply a causal relationship between the two variables.
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A regression model is used to express a variable V as a function of another variable X, this implies that[2002]a)There is a causal relationship between Y and Xb)A value of X may be used to estimate a value of Yc)Values of X exactly determine values of Yd)There is no causal relationship between Y and XCorrect answer is option 'A'. Can you explain this answer?
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