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Answer:
The correct option is;
The situation shows correlation without causation
Step-by-step explanation:
The given data are;
Weight y Miles Per Gallon
42 18
36 12
30 6
. x
24 0
The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6
18 - 12 = 12 - 6 = 6 - 0 = 6
The first difference of the data is constant and equal to 6
Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;
The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;
(42 - 24)/(18 - 0) = 1
Therefore, the points of the data fit into the straight line and the data of the situation shows correlation
In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.
