the managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker. they sample 12 brokers and determine the number of new clients they have enrolled in the last year and their sales amounts in thousands of dollars. suppose they find that the coefficient of determination (r square) is 0.785. this means that 78.5% of the total variation in sales generated can be explained by the number of new clients brought in .0785 is the residual sum of squares 78.5% is the estimated slope coefficient .0785 is the y intercept