Question

Which of the following transformations would be most appropriate for creating linearity between the variables?

1) Adding a constant term to one of the variables
2) Multiplying one of the variables by a constant
3) Taking the logarithm of one of the variables
4) Taking the square root of one of the variables

Answer 1

The most appropriate transformation for creating linearity between variables is multiplying one of the variables by a constant.

Step-by-step explanation:

The most appropriate transformation for creating linearity between variables is 2) Multiplying one of the variables by a constant. When one variable is multiplied by a constant, the relationship between the variables becomes linear. This constant can be positive or negative, depending on the nature of the relationship.

For example, if we have a relationship between the variables x and y, and we multiply x by a constant c, the new equation becomes y = cx. This transformation creates a linear relationship between x and y.

On the other hand, adding a constant term (option 1) or taking the logarithm (option 3) or square root (option 4) of one of the variables does not necessarily create linearity between the variables.