Scatter Plots and Linear Regression

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, summarizing the relationship between the two variables.

Front

How do you determine the slope of a line in the equation y = mx + b?

Back

The slope (m) indicates the rate of change of y with respect to x; a positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

What does a correlation coefficient (r) of 1 indicate?

Back

A correlation coefficient (r) of 1 indicates a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient (r) of -1 indicate?

Back

A correlation coefficient (r) of -1 indicates a perfect negative linear relationship between two variables.

Front

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

Back

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

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a weak positive correlation look like on a scatter plot?

Back

A weak positive correlation shows points that are loosely clustered around an upward sloping line.

Front

What does a strong negative correlation look like on a scatter plot?

Back

A strong negative correlation shows points that are closely clustered around a downward sloping line.

Front

What is the purpose of linear regression?

Back

Linear regression is used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.