Question

The x-axis represents a student's age in years and the y-axis represents the number of times the student cried each month on average.

Which of these vocabulary words can be used to describe the data represented in the scatterplot? Choose all that apply.

(3 points)
Responses

Increasing
Increasing

Decreasing
Decreasing

Positive trend
Positive trend

Bivariate
Bivariate

Univariate
Univariate

Proportional
Proportional

Linear trend
Linear trend
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The image is a scatterplot displaying a set of data points on a two-dimensional Cartesian coordinate plane.

Here is a description of the key features:

Axes:

X-axis (Horizontal): Labeled 'x', ranging from −4 to 12.

Y-axis (Vertical): Labeled 'y', ranging from −4 to 14.

Data Points: There are 15 individual data points plotted on the graph.

Relationship (Correlation): The points generally trend downward and to the right. This indicates a negative correlation between the x and y variables. As the value of x increases, the value of y tends to decrease.

Strength of Correlation: The points are somewhat scattered, not forming a tight line, which suggests the negative correlation is moderate or weak, not perfectly linear.

The plot illustrates a basic example of bivariate data exhibiting a negative linear association.

Answer 1

Correct choices: Decreasing, Bivariate, Linear trend.

Why:
- Decreasing: as age (x) increases, crying (y) generally goes down.
- Bivariate: there are two variables (age and number of times cried).
- Linear trend: the points show a roughly linear (downward) association.

Not chosen:
- Increasing / Positive trend: data trend is downward, not upward.
- Univariate: the data involve two variables, not one.
- Proportional: there is no clear direct proportionality (no constant ratio through the origin).