The table below shows the distance y, in miles, traveled by a toy car in x minutes:
(minutes) 20 30 40 50
(miles) 5 10 15 20
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 toy car. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]
Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)
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Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
It's very important to visualize values in a table so plot it, so here it is -
Do the points fall exactly on the line or follow the line somewhat or not at all?
If exactly, then (absolute value of ) correlation is 1
If somewhat then (absolute value of ) correlation is between 0 and 1
If not at all, then correlation is 0
Does this make sense?