Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

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 does no correlation mean in a scatterplot?

Back

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

Front

How can you determine the line of best fit in a scatterplot?

Back

The line of best fit is determined by drawing a line that best represents the data points, minimizing the distance between the points and the line.

Front

What is the purpose of the line of best fit?

Back

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

Front

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

Back

The slope indicates the rate of change between the two variables; a positive slope means both variables increase together, while a negative slope means one variable decreases as the other increases.

Front

What is the significance of the y-intercept in a scatterplot?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero; it provides a starting point for the line of best fit.

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 relationship between the amount of gas in a car's tank and distance traveled in a scatterplot?

Back

The relationship typically shows a negative correlation, as the amount of gas decreases as distance traveled increases.

Front

How do you find the average value for a given input using a scatterplot?

Back

You can find the average value by locating the corresponding point on the line of best fit for the given input.