The dat. Yits show the distance y (in meters) required to stop a train traveling at a speed x (in kilometers per hour). Each figure has the same data points. However, each figure has a different curve fitting the data. The equation for each curve is also shown. Answer the questions that follow. Figure 1 Figure 2 Figure 3 2500- 2500- 2500- 2000- 2000- 2000 1500 1500- I500 1000 500 _y = 0.12x² +1.1x+104.4 y = 1.5x-125.3x+2675 y = 0.28x² +2.25x |(a) Which curve fits the data best? O Figure 1 O Figure 2 O Figure 3 | (b) Use the equation of the best fitting curve from part (a) to predict the distance required to stop the train when it is travelling 50 kilometers per hour. Give an exact answer, not a rounded approximation. O meters

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.