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 axis.

Front

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

Back

A line of best fit represents the trend of the data points in a scatterplot, indicating the general direction of the relationship between the variables.

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 slope-intercept form of a linear equation?

Back

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

Front

What is a positive correlation in a scatterplot?

Back

A positive correlation occurs when an increase in one variable corresponds to an increase in another variable, resulting in an upward trend.

Front

What is a negative correlation in a scatterplot?

Back

A negative correlation occurs when an increase in one variable corresponds to a decrease in another variable, resulting in a downward trend.

Front

What does no correlation mean in a scatterplot?

Back

No correlation means there is no discernible relationship between the two variables; the data points do not show any trend.

Front

How do you determine if a line of best fit is appropriate for a scatterplot?

Back

A line of best fit is appropriate if the data points show a clear trend or pattern that can be approximated by a straight line.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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.