Scatterplots and Lines of Best Fit

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional plane.

Front

What does the slope of a line represent in a scatterplot?

Back

The slope of a line in a scatterplot represents the rate of change between the two variables. A positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 scatterplot, showing the general direction of the data points.

Front

How can you use a line of best fit to make predictions?

Back

You can use the line of best fit to estimate the value of one variable based on the value of another by finding the corresponding point on the line.

Front

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

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a scatterplot?

Back

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

Front

How do you interpret a positive correlation in a scatterplot?

Back

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

Front

How do you interpret a negative correlation in a scatterplot?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the purpose of a trend line in a scatterplot?

Back

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