8.5CD, 8.11AB - Interpretation of Data

Which of the following scatterplots suggests a linear relationship between the bivariate sets of data?

• A scatterplot with points forming a straight line.

• A scatterplot with points forming a curve.

• A scatterplot with points scattered randomly.

• A scatterplot with points forming a circle.

What is the purpose of a trend line in a scatterplot?

• To connect all the data points exactly.

• To approximate the linear relationship between the data sets.

• To highlight the outliers in the data.

• To make the scatterplot look more complex.

Which of the following best describes a scatterplot with no association?

• The points form a straight line.

• The points form a clear curve.

• The points are randomly scattered with no discernible pattern.

• The points form a cluster in one area.

How can you determine if a scatterplot shows a nonlinear relationship?

• The points form a straight line.

• The points form a curve or other non-linear pattern.

• The points are randomly scattered.

• The points form a perfect circle.

What is the mean absolute deviation (MAD) used for in a data set?

• To find the maximum value in the data set.

• To measure the average distance data points are from the mean.

• To calculate the median of the data set.

• To determine the range of the data set.

Given the data set: 3, 7, 7, 2, 9, what is the mean absolute deviation?

• 2

• 2.4

• 3

• 3.2

If a trend line in a scatterplot has a positive slope, what does this indicate about the relationship between the variables?

• As one variable increases, the other decreases.

• There is no relationship between the variables.

• As one variable increases, the other also increases.

• The variables are inversely proportional.

Which of the following is NOT a step in constructing a scatterplot?

• Plotting each pair of data points on a graph.

• Drawing a trend line through the points.

• Calculating the mean of the data set.

• Labeling the axes with the variables.

What does a trend line with a slope of zero indicate about the relationship between two variables?

• A strong positive relationship.

• A strong negative relationship.

• No relationship.

• A constant relationship.

In a scatterplot, if the data points are tightly clustered around a trend line, what does this suggest about the relationship?

• A weak relationship.

• A strong relationship.

• No relationship.

• A random relationship.