19. A STAT 200 instructor believes that the average quiz score is a good predictor of nal exam score. A random sample of 10 students produced the following data where x is the average quiz score and y is the nal exam score. 95 so so 100 55 35 70 75 35 70 96 50 63 96 60 83 60 T? 8? (a) Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal places. Describe method for obtaining results. Show oi! work; writing the contest equation, without supporting work, will receive no credit. (b) Based on the equation 'om part (a), what is the predicted nal exam score if the average quiz score is 65'? Show oii work and justi: your answer. (c) Based on the equation from part (a), what is the predicted nal exam score if the average quiz score is 40'? Show all work and justify your answer. (d) Which predicted nal exam score that you calculated for (b) and (c) do you think is closer to the true nal exam score and why