mm; A research team is collecting data to test the effectiveness of a new windmill. Paired data is collected at 9 different days with variable X represents the windspeed (in meters per second) and variable Y represents the revolution speed of the windmill {in revolutions per second). (a) (b) (C) (d) (e) annual-Imam Ila-WEBER! Calculate the coefcient of correlation from the above data. (I mark) It is known that the faster the revolution speed of the windmill. the more energy can be generated. To generate more energy, where should be a better location to place the windmill? I: a location with faster windspeed II: a location with slower windspeed III: the windspeed of the location make no difference to the amount of generated energy (1 mark) Find the values of a and b in the regression line y = a + bx of the above data. (2 marks) Interpret the value of b in the regression line in part (c). (2 marks) Estimate the revolution speed of the windmill when the windspeed is 40 meters per second. Is this estimation reliable? Explain your answer. (4 marks) (Total: 10 marks)