Scatter Plots (finding Line of Best Fit)

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 the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend of the data points in a scatter plot, indicating the general direction of the relationship between the variables.

Front

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

Back

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

Front

What does a positive slope indicate in a scatter plot?

Back

A positive slope indicates that as the x-variable increases, the y-variable also increases.

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates that as the x-variable increases, the y-variable decreases.

Front

What is correlation in the context of scatter plots?

Back

Correlation refers to the strength and direction of a linear relationship between two variables, which can be positive, negative, or none.

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no discernible relationship between the x and y variables; the data points do not follow a clear trend.

Front

How can you approximate the rate of change from a line of best fit?

Back

The rate of change can be approximated by the slope of the line of best fit, indicating how much the y-variable changes for each unit change in the x-variable.

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

What is the y-intercept in a line of best fit?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.