Positive and Negative Relationships in Scatter Plots

If a scatter plot shows a linear association, what is the purpose of fitting a straight line to the data?

• To make the scatter plot look more organized.

• To predict values and understand the relationship between variables.

• To change the data points.

• To eliminate outliers.

Which of the following statements is true about a scatter plot with a perfect linear association?

• All data points lie exactly on the line of best fit.

• The data points are randomly scattered.

• The line of best fit is horizontal.

• The line of best fit is vertical.

A scatter plot shows a linear association with some outliers. How do outliers affect the line of best fit?

• They have no effect on the line of best fit.

• They can significantly change the slope and position of the line.

• They make the line of best fit vertical.

• They make the line of best fit horizontal.

What does a negative slope in the line of best fit indicate about the relationship between two variables in a scatter plot?

• As one variable increases, the other variable also increases.

• As one variable increases, the other variable decreases.

• There is no relationship between the variables.

• The variables are constant.

What is the primary purpose of using a scatter plot in data analysis?

• To display categorical data.

• To show the relationship between two quantitative variables.

• To calculate the mean of a dataset.

• To organize data in a table.

In a scatter plot, what does it mean if the line of best fit has a positive slope?

• As one variable increases, the other variable also increases.

• The variables are inversely related.

• As one variable increases, the other variable decreases.

• There is no relationship between the variables.

• 3

• 2

• 1

• 0

• 3

• -5

• 0

• 5

Which of the following is true about the line of best fit in a scatter plot?

• It always passes through the origin.

• It is used to predict values outside the range of the data.

• It minimizes the sum of the squared distances from each point to the line.

• It is always horizontal.

Which of the following best describes a scatter plot with no linear association?

• Data points form a downward trend.

• Data points are tightly clustered around a line.

• Data points are widely scattered with no discernible pattern.

• Data points form a perfect line.