(4] Ten drivers are taking part in a road safety investigation where each drives a vehicle around a track at any speed and then, at ve random occurrences, must perform an emergency stop when instructed to by the investigator. The speed of the vehicle at the initiation of the emergency stop is measured accurately with a digital speedometer, but the distance the vehicle then travels until coming to a complete stop is measured with error. The investigators wish predict the stopping distance given the vehicle's speed and has provided the following summary statistics: Mean Std. Dev. Min' Max. Vehicle Speed (kmfh) 48.58 6.82 35 65 Stopping Distance (meters) 81.76 20.61 39 132 n = 50, Correlation = 0.914 (a) Compute the least squares estimates and write the equation for the tted regression line. Clearly explain any notation that you are using. [4 marks] (b) Based on the description of how the data was collected. which of the linear regression assumptions may be violated? [2 marks] (c) The scatter plot presented below depicts the tted regression line (Line A) and two other pairs of lines. (i) Explain what the outer pair of dotted lines (Lines B] represent. [2 marks] {ii} The pair of dashed lines (Lines C) visibly curve away from the tted regression line. State the formula for these lines and explain what is causing the observed curvature. [4 marks] Stopping Distance xmln X xmax Speed (mph)