Checkpoint 2-5 - Scatter Plots and Regression Lines

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 on a two-dimensional axis.

Front

What does a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no discernible relationship between the two variables; changes in one variable do not predict changes in the other.

Front

What is a regression line?

Back

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

Front

What is the equation of a linear regression line?

Back

Front

How do you interpret the slope of a regression line?

Back

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

Front

What is the y-intercept in a regression equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

Front

How can you use a regression line to make predictions?

Back

You can use the regression line equation to predict the value of the dependent variable (y) for any given value of the independent variable (x) by substituting x into the equation.

Front

What is the purpose of calculating a linear regression equation?

Back

The purpose of calculating a linear regression equation is to model the relationship between two variables and to make predictions based on that model.