Scatter Plots and Predictions

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 positive correlation in a scatter plot 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 scatter plot 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 scatter plot?

Back

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

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 scatter plot, showing the trend of the data.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by analyzing the trend line and estimating values for one variable based on the other.

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 slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does the y-intercept represent in a scatter plot?

Back

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

Front

How do you determine the type of correlation from a scatter plot?

Back

You determine the type of correlation by observing the direction of the data points: upward for positive, downward for negative, and scattered for no correlation.