The table below shows the distance y, in miles per minute, of a toy car at different times x, in minutes: Time (x) (minutes) 10
20 30 40 Distance (y) (miles) 0.2 0.8 0.1 0.4 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance of the toy car. (4 points) [Choose the value of correlation coefficient from −1, 1, −0.04, 0.99] Part B: What is the value of the slope of the graph of distance versus time between 10 minutes and 20 minutes, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
To find slope between two given points: (y2-y1)/(x2-x1) Find the difference between the first two points 12-9.5/2-1 = 2.5/1 = 2.5 14.5-12/3-2 = 2.5/1 = 2.5 17-14.5/4-3 = 2.5/1 = 2.5 The rate of change between each point is 2.5
