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 can you use a scatterplot to make predictions?

Back

You can use the trend line in a scatterplot to estimate values for one variable based on the value of another variable.

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 purpose of a trend line in a scatterplot?

Back

The purpose of a trend line is to summarize the relationship between the variables and to help make predictions.

Front

What does it mean if a scatterplot has no correlation?

Back

If a scatterplot has no correlation, it means there is no apparent relationship between the two variables.

Front

How do you determine the slope of a trend line?

Back

The slope of a trend line is determined by the change in the y-values divided by the change in the x-values between two points on the line.

Front

What is the significance of outliers in a scatterplot?

Back

Outliers are data points that differ significantly from other observations and can affect the slope and position of the trend line.

Front

What is the formula for calculating the slope of a line?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.