Scatter Plots, Lines of Best Fit, & 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 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 is a line of best fit?

Back

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

Front

How do you calculate the slope of a line of best fit?

Back

The slope is calculated by taking the change in the y-values divided by the change in the x-values (rise over run).

Front

What is linear regression?

Back

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

Front

What does the equation y = mx + b represent?

Back

This equation represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

What does a strong correlation mean in a scatter plot?

Back

A strong correlation means that the data points are closely clustered around the line of best fit, indicating a strong relationship between the variables.

Front

What is the purpose of drawing a trend line on a scatter plot?

Back

A trend line helps to visualize the overall direction of the data and can be used to make predictions.