Scatterplots and Lines of Best Fit

Front

What is a scatterplot?

Back

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

Front

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

Back

The slope of a line in a scatterplot represents the rate of change between the two variables. A positive slope indicates a positive correlation, while a negative slope indicates a negative correlation.

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 given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 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 can you use a trend line to make predictions?

Back

You can use a trend line to make predictions by extending the line and finding the corresponding value of the dependent variable for a given independent variable.

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 = 0.

Front

What does it mean if a scatterplot shows no correlation?

Back

If a scatterplot shows no correlation, it means there is no apparent relationship between the two variables.