Scatterplots and Line of Best Fit

Front

What is a scatterplot?

Back

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

Front

What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend of the data points in a scatterplot, showing the general direction in which the data is moving.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the purpose of using a line of best fit?

Back

The purpose of using a line of best fit is to make predictions about one variable based on the value of another variable.

Front

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

Back

You can use the equation of the line of best fit to substitute values and predict the corresponding output.

Front

What does it mean if a line of best fit does not go through the origin?

Back

If a line of best fit does not go through the origin, it indicates that the relationship between the variables does not start at zero.

Front

What is the significance of the y-intercept in a line of best fit?

Back

The y-intercept is the value of y when x is zero, indicating the starting point of the relationship.

Front

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

Back

The slope indicates the rate of change between the two variables; for example, a slope of -3 means that for every unit increase in x, y decreases by 3 units.