The table below shows the distance y in miles traveled by a

The table below shows the distance y, in miles, traveled by a toy car in x minutes 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 (Choose the value of correlation coefficient from 1. 0.8. 0.5. 0.02] What is the value of the slope of the graph of distance versus time, and what does the slope represent? Does the data in the table represent correlation or causation? Explain your answer

Solution

a) Distance increases linearly with time.Its a straight line. Correlation +1 positive as it increases from left to right. Correlation of 1 means time and distance have a perfect positive linear relationship, meaning if x increases by a certain value, y also increases by a certain value at the same time.

b) slope , take any two points: ( 10, 30) and ( 5, 20)

slope = (20-30)/(5-10) = -10/-5 = 5

c) It\'s a correlation because x and y are related by a common pattern .

Causation indicates that one event is the result of the occurrence of the other event which is not the case

as time is not result of distance