Solution

Statement I: "In the simple linear regression model with an intercept, the regression slope when multiplied by the explanatory variable X will give the predicted Y." This statement is incorrect. In a simple linear regression model, the predicted value of Y is given by the equation  y = β0 + β1X, The slope β1 when multiplied by X gives the change in Y for a unit change in X, but it does not give the predicted value of Y directly, we need to include intercept as well. Statement II: "In the simple linear regression model, the regression slope indicates by how many units Y increases, given a one-unit increase in X." This statement is correct. The slope β1in a linear regression model represents the change in the dependent variable Y for a one-unit change in the explanatory variable X.