Multiple Choice
Which type of display is most likely to reveal an association between variables and ?
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11. Correlation
Scatterplots & Intro to Correlation
Multiple Choice
Which of the following best describes the scatterplot of a car's value compared to the age of the car?
A
There is a negative association; as the age of the car increases, its value tends to decrease.
B
There is no association; the value of the car is unrelated to its age.
C
The scatterplot shows a perfect linear relationship with a positive slope .
D
There is a positive association; as the age of the car increases, its value tends to increase.
Verified step by step guidance1
Understand what a scatterplot represents: it is a graphical display of two quantitative variables, where each point corresponds to one observation with coordinates (x, y). In this case, the variables are the age of the car (x-axis) and the value of the car (y-axis).
Recall the meaning of association in a scatterplot: a positive association means that as one variable increases, the other also increases; a negative association means that as one variable increases, the other decreases; no association means there is no clear pattern or relationship between the variables.
Consider the real-world relationship between a car's age and its value: typically, as a car gets older, its value tends to decrease due to depreciation, wear and tear, and obsolescence.
Translate this understanding into the scatterplot context: points would generally trend downward from left to right, indicating a negative association between age and value.
Evaluate the answer choices based on this reasoning: the best description is that there is a negative association; as the age of the car increases, its value tends to decrease.
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