Scatterplots and Lines of Best Fit

Front

What is a scatterplot?

Back

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

Front

What does a line of best fit represent in a scatterplot?

Back

A line of best fit is a straight line that best represents the data points in a scatterplot, indicating the trend of the relationship between the variables.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot to make predictions by extending the line of best fit to estimate values for one variable based on the other.

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 does no correlation mean in a scatterplot?

Back

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

Front

How do you calculate the slope of a line from two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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 linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How can you identify the slope from a scatterplot?

Back

The slope can be identified by observing the steepness of the line of best fit; a steeper line indicates a larger slope.