Scatter Plots and Line of Best Fit

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 the slope of a line in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does the y-intercept of a linear equation indicate?

Back

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

Front

How do you calculate the line of best fit for a set of data points?

Back

The line of best fit can be calculated using linear regression, which minimizes the distance between the data points and the line.

Front

What is the purpose of a line of best fit in a scatter plot?

Back

The line of best fit helps to summarize the relationship between the variables and can be used for predictions.

Front

What does a positive slope indicate in a scatter plot?

Back

A positive slope indicates a direct relationship where, as one variable increases, the other variable also increases.

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates an inverse relationship where, as one variable increases, the other variable decreases.

Front

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

Back

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

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept, which is where the line crosses the y-axis.

Front

How can you use a scatter plot to make predictions?

Back

You can use the line of best fit to estimate the value of the dependent variable for a given value of the independent variable.