Scatterplots and correlation coefficient

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does correlation coefficient measure?

Back

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

Front

What does it mean if the correlation coefficient (r) is close to 1?

Back

If r is close to 1, it indicates a strong positive linear relationship between the two variables.

Front

What does it mean if the correlation coefficient (r) is close to -1?

Back

If r is close to -1, it indicates a strong negative linear relationship between the two variables.

Front

What does it mean if the correlation coefficient (r) is close to 0?

Back

If r is close to 0, it indicates little to no linear relationship between the two variables.

Front

What is a linear regression equation?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b.

Front

What are residuals in a regression model?

Back

Residuals are the differences between the observed values and the values predicted by the regression model.

Front

What does a residual plot show?

Back

A residual plot shows the residuals on the vertical axis and the independent variable on the horizontal axis, helping to assess the fit of a regression model.

Front

What indicates a good fit in a residual plot?

Back

A random pattern in a residual plot indicates that the regression model is a good fit for the data.

Front

What indicates a poor fit in a residual plot?

Back

A pattern or trend in a residual plot indicates that the regression model is a poor fit for the data.