6. An engineer is developing a new production process to assemble microswitches. The time taken, t minutes, to produce each switch, and its size, s mm3, are recorded in the table below. 0.33 1.15 1.76 2.15 2.95 Calculate the product moment correlation coefficient between s and t. Interpret your result. (3) Calculate the product moment correlation coefficient between log 3 and log t. (2) Use your answer to part (a) to explain why an equation ofthe form t = as", where a and n are constants, is likely to be a good model for the relationship between 3 and t. (1) Use your calculator to find the equation ofthe regression line of log t on logs. (3) Use you answer to part (c) to determine the values of the constants a and n in the equation given in part lb)- (4) (13 marks)