Scatterplots and Lines of Best Fit

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, where each point represents an observation in the dataset, allowing for the visualization of relationships between the variables.

Front

What does a positive association in a scatterplot indicate?

Back

A positive association indicates that as one variable increases, the other variable also tends to increase.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, showing the general direction of the data points.

Front

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

Back

The slope of a line in a scatterplot is determined by the change in the y-values divided by the change in the x-values (rise over run).

Front

What does the slope of a line represent in a scatterplot?

Back

The slope represents the rate of change between the two variables; a positive slope indicates a positive relationship, while a negative slope indicates an inverse relationship.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the value of y when x is zero; it represents the point where the line crosses the y-axis.

Front

How can you find the equation of a trend line given the slope and y-intercept?

Back

The equation of a trend line can be found using the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if there is no line of best fit for a scatterplot?

Back

If there is no line of best fit, it indicates that the data points do not show a clear trend or relationship, making it difficult to summarize the data with a linear equation.

Front

What is the significance of the correlation coefficient in relation to scatterplots?

Back

The correlation coefficient quantifies the strength and direction of the relationship between two variables, with values ranging from -1 to 1.

Front

How can outliers affect the line of best fit in a scatterplot?

Back

Outliers can skew the line of best fit, potentially leading to a misleading representation of the relationship between the variables.