Question

PLZ HELP ME! NEED THE ANSWER AS SOON AS POSSIBLE! WILL REWARD THE BRAINLIEST: The table below shows the distance y, in miles, traveled by a truck in x hours: Time (x) (hours) 1 2 3 4 Distance (y) (miles) 50 100 150 200 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 traveled by the truck. [Choose the value of the correlation coefficient from 1, 0.8, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of distance versus time between 3 and 4 hours, 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)

Answer 1

You are given a set of data regarding the truck with the distance y, in miles, traveled by a truck in x hours:
Time (x) (hours) 1 2 3 4
Distance (y) (miles) 50 100 150 200

I used excel to plot this data and get an equation and the value of r to anwer the following questions.

Part A: The most likely value of the correlation coefficient of the data in the graph is 1, meaning that the distance travelled by the truck and the time it takes to travel is directly related or directly proportional.

Part B: From the graph, i got an equation y = 50x  with a slope of 50.

Part C: The table presented above is a correlation because both variables are directly related and forms a straight line rising to the right.