Question: 1. The prediction equation in a linear regression study may be used to:

a. Predict the dependent variable for a given value of the independent variable

b. Predict the independent variable for a given value of the dependent variable

c. Estimate how large future samples should be

d. Determine the correlation coefficient

e. Both a and d

2. An objective coefficient is 10 with an allowable decrease of 2. If this applies to a linear programming problem with the objective of maximizing profit, then if the profit per unit declines by 1.5,

a. The overall profit will remain the same

b. The optimal solution remains the same

c. Both profits and the optimal solution will remain the same

d. Both profits and the optimal solution will change.