Problem #2: Indicate whether each statement is TRUE or FALSE, and give a brief (one or two sentences) explanation for your response.

a) For any given data set of predictor variables [xi] and measured response variables [yi] there exists a unique predictive equation y = f(x) that best models the relationship between x and y.

b) For any given data set of predictor variable [xi] and measured response variable [yi] there exists a unique linear equation y = mx + b that minimizes the sum of squares of the residuals.

c) Adding more data to an existing best-fit model equation could either increase or decrease the correlation coefficient.