Question

If one variable is given then you can find another variable by

• A. Coefficient of variation
• B. Coefficient of correlation
• C. Coefficient of regression
• D. Coefficient of determination

Answer 1

The Correct Option is C

To determine the value of one variable when another variable is given, we can use the concept of regression. The specific tool for this is the coefficient of regression. This coefficient quantifies the relationship between two variables, allowing us to predict the dependent variable's value based on the independent variable.

In simple linear regression, the relationship between two variables is modeled using the equation:

y = mx + c

In this equation:

• y represents the dependent variable, whose value you want to predict.
• x is the independent variable, the given value.
• m is the coefficient of regression, indicating how much y changes for a unit change in x.
• c is the y-intercept, the value of y when x is zero.

By knowing the coefficient of regression, you can substitute the given variable value into the regression equation to find the unknown variable.