Question

describe the relationship between the variables.
there is no relationship between the variables.
as the age increases, the height increases.
as the age increases, the height decreases.
as the height decreases, the age decreases.

Explanation:

Analyze the axes of the scatterplot

The horizontal axis (\(x\)-axis) represents "Age (weeks)" and the vertical axis (\(y\)-axis) represents "Height (inches)".

Determine the trend of the data points

As we move from left to right along the \(x\)-axis (as age increases), the data points generally trend upward along the \(y\)-axis (height increases). This indicates a positive correlation.

Match the trend to the given options

The upward trend corresponds to the statement: "As the age increases, the height increases."

Answer:

• There is no relationship between the variables.
• As the age increases, the height increases. (Correct answer)
• As the age increases, the height decreases.
• As the height decreases, the age decreases.