Scatter Plots and Trend Lines

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 trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

Front

What is positive correlation?

Back

Positive correlation occurs when an increase in one variable leads to an increase in another variable.

Front

What is negative correlation?

Back

Negative correlation occurs when an increase in one variable leads to a decrease in another variable.

Front

What does no correlation mean?

Back

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

Front

How can you predict values using a trend line?

Back

You can predict values by locating the desired input on the x-axis, then finding the corresponding output on the trend line.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data in a scatter plot, minimizing the distance between the line and all data points.

Front

How do you determine the slope of a trend line?

Back

The slope of a trend line is determined by the change in the y-values divided by the change in the x-values between two points on the line.

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 does the y-intercept represent in a trend line?

Back

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