Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, where each point represents an observation in the dataset, showing the relationship between the variables.

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 line of best fit in a scatterplot?

Back

The line of best fit summarizes the trend in the data, helping to predict values and understand the relationship between the variables.

Front

How can you determine the strength of a correlation from a scatterplot?

Back

The strength of a correlation can be determined by how closely the points cluster around the line of best fit; a tighter cluster indicates a stronger correlation.

Front

What does it mean if a scatterplot shows no correlation?

Back

No correlation means that there is no discernible relationship between the two variables; changes in one variable do not predict changes in the other.

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

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

Back

The slope indicates the rate of change between the two variables; a positive slope means an increase in y for an increase in x, while a negative slope means a decrease in y for an increase in x.

Front

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

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line of best fit on the y-axis.

Front

How can scatterplots be used in real-world applications?

Back

Scatterplots can be used to analyze relationships in various fields, such as economics, biology, and social sciences, helping to make predictions and inform decisions.