1.1 The least squares regression line always passes through the point (x, y), where x and y are the sample means of the independent and dependent variables. (True/False)

1.2 PCA projects a p-dimensional dataset onto a lower q-dimensional sub-space. (true/false)

1.3 Directed mining models assume that the set of input variables and training records contain the patterns of what the model should predict. (true/false)

DO NOT ANSWER THE QUESTIONS IF YOU ARE AT ALL UNSURE ABOUT THE ANSWERS. Justify the answers