Bivariate Data Study Questions

Front

What is bivariate data?

Back

Bivariate data involves two variables and is used to determine the relationship between them.

Front

What does a scatter plot represent?

Back

A scatter plot shows the relationship between two quantitative variables measured on the same cases.

Front

What is a trend line in a scatter plot?

Back

A trend line is a straight line that best represents the data on a scatter plot, indicating the direction of the relationship between the variables.

Front

What does the slope of a trend line indicate?

Back

The slope indicates the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables.

Front

What value of r indicates a strong positive correlation?

Back

A value of r close to 1 (e.g., 0.89) indicates a strong positive correlation.

Front

What value of r indicates a strong negative correlation?

Back

A value of r close to -1 (e.g., -0.86) indicates a strong negative correlation.

Front

What is a residual in the context of regression analysis?

Back

A residual is the difference between the observed value and the predicted value from a regression model.

Front

How do you interpret a positive residual?

Back

A positive residual indicates that the observed value is greater than the predicted value.

Front

What does a scatter plot with no clear pattern indicate?

Back

A scatter plot with no clear pattern suggests that there is no linear relationship between the two variables.