Ch. 7 Linear Models: Interpreting Slope and Intercept

Front

What does the slope represent in a linear model?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates that there is no change in the dependent variable as the independent variable changes.

Front

What is the correlation coefficient?

Back

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

Front

What does a strong positive correlation mean?

Back

A strong positive correlation means that as one variable increases, the other variable tends to also increase significantly.

Front

What does a strong negative correlation mean?

Back

A strong negative correlation means that as one variable increases, the other variable tends to decrease significantly.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points.

Front

What does it mean if a scatter plot shows no relationship?

Back

It means that there is no discernible pattern or correlation between the two variables.