Algebra 1: Scatter Plots and Linear Regression

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 correlation measure?

Back

Correlation measures the strength and direction of the relationship between two quantitative variables.

Front

What does a correlation coefficient (r) of -0.89 indicate?

Back

A correlation coefficient of -0.89 indicates a strong negative correlation between the two variables.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, showing the trend of the data.

Front

What type of correlation is indicated by a positive slope in a scatter plot?

Back

A positive correlation is indicated by a positive slope, meaning as one variable increases, the other variable also increases.

Front

What type of correlation is indicated by a negative slope in a scatter plot?

Back

A negative correlation is indicated by a negative slope, meaning as one variable increases, the other variable decreases.

Front

What does the linear regression equation y = mx + b represent?

Back

The linear regression equation represents the relationship between the independent variable (x) and the dependent variable (y), where m is the slope and b is the y-intercept.

Front

How do you interpret the slope (m) in a linear regression equation?

Back

The slope (m) indicates the change in the dependent variable (y) for each one-unit increase in the independent variable (x).

Front

What is the purpose of using linear regression?

Back

Linear regression is used to predict the value of a dependent variable based on the value of an independent variable.

Front

What does a correlation coefficient (r) of 0 indicate?

Back

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