In regression analysis, the independent variable is
a. used to predict other independent variables
b. used to predict the dependent variable called the intervening variable
c. the variable that is being predicted

b. used to predict the dependent variable called the intervening variable

Step-by-step explanation:

The variable of interest is also known as response variable or dependent variable, are named the predictors, or independent variables in the regression. By the other hand, the dependent variable is known as the variable of interest or "Y" and usually the independent variables are expressed by "X".

Based on this definition we can analyze one by one the possible options:

a. used to predict other independent variables

No, the independet variable is not used to predict other independt variables, the independent or the intependent variables X's are used to predict the dependent variable Y

b. used to predict the dependent variable called the intervening variable

Yes, the practical use of the independent variables are predict the dependent variable Y.

c. the variable that is being predicted

No, the independent variable X is not the variable that would be predicted, the Dependent variable Y is the variable that would being predicted.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6