Algebra 1: Scatter Plots and Linear Regression

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation that displays the relationship between two quantitative variables, using dots to represent data points.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistical measure that quantifies the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no linear relationship between the two variables.

Front

How can you interpret a scatter plot with a negative correlation?

Back

In a scatter plot with a negative correlation, as one variable increases, the other variable tends to decrease.

Front

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

Back

If a scatter plot shows no association, it means there is no discernible pattern or relationship between the two variables.

Front

What is the purpose of linear regression?

Back

The purpose of linear regression is to model the relationship between two variables by fitting a linear equation to the observed data.

Front

What is the equation of a line in linear regression?

Back

The equation of a line in linear regression is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear regression line represent?

Back

The slope of a linear regression line represents the change in the dependent variable for each one-unit change in the independent variable.

Front

What is the y-intercept in a linear regression model?

Back

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