Scatterplots

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 axis.

Front

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

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line in a scatterplot?

Back

The slope is calculated by taking the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does a positive correlation in a scatterplot 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 scatterplot indicate?

Back

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

Front

What is the formula for 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 does the y-intercept represent in a linear equation?

Back

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

Front

How can you use a scatterplot 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 variable.

Front

What is the difference between a linear and a non-linear relationship in a scatterplot?

Back

A linear relationship can be represented by a straight line, while a non-linear relationship cannot be represented by a straight line and may curve.

Front

What is the significance of outliers in a scatterplot?

Back

Outliers are data points that fall far from the trend of the rest of the data and can affect the slope and position of the line of best fit.