Question

recognizing a relationship between two variables

which describes the scatterplot of a cars value compared to the age of the car?

• there is no relationship between the age of a car and its value.
• as the age of a car increases, its value increases.
• as the age of a car increases, its value decreases.
• as the age of the car decreases, its value decreases.

Explanation:

Analyze the variables on the axes

The horizontal axis (\(x\)-axis) represents the "Age of Car (years)" and the vertical axis (\(y\)-axis) represents the "Car Value (dollars)".

Determine the trend of the data points

As we move from left to right along the \(x\)-axis (increasing age of the car), the plotted points generally move downwards along the \(y\)-axis (decreasing car value). This indicates a negative correlation.

Match the trend to the description

A negative correlation means that as the age of a car increases, its value decreases. This directly matches the third option.

Answer:

• There is no relationship between the age of a car and its value.
• As the age of a car increases, its value increases.
• As the age of a car increases, its value decreases. (Correct answer)
• As the age of the car decreases, its value decreases.