Scatter Plots

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does a positive correlation in a scatter plot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What does 'no correlation' mean in the context of a scatter plot?

Back

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

Front

How can you identify the correlation type in a scatter plot?

Back

You can identify the correlation type by observing the direction of the data points: upward slope for positive, downward slope for negative, and random distribution for no correlation.

Front

What is the slope of a line in a scatter plot?

Back

The slope represents the rate of change between the two variables; it indicates how much one variable changes for a unit change in the other variable.

Front

What does the y-intercept represent in a linear equation from a scatter plot?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

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 determine the best-fit line for a scatter plot?

Back

The best-fit line is determined by minimizing the distance between the line and all data points, often using methods like least squares.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that deviate significantly from the trend of the rest of the data; they can affect the slope and correlation.