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 'Line of Best Fit' represent in a scatter plot?

Back

A 'Line of Best Fit' is a straight line that best represents the data points in a scatter plot, indicating the trend of the data.

Front

What is positive correlation in a scatter plot?

Back

Positive correlation occurs when an increase in one variable leads to an increase in another variable, resulting in an upward trend in the scatter plot.

Front

What is negative correlation in a scatter plot?

Back

Negative correlation occurs when an increase in one variable leads to a decrease in another variable, resulting in a downward trend in the scatter plot.

Front

What does no correlation mean in a scatter plot?

Back

No correlation means there is no apparent relationship between the two variables, and the data points do not show any clear trend.

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 do you determine the slope of a line from a scatter plot?

Back

The slope of a line can be determined by selecting two points on the line and using the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in a scatter plot?

Back

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

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by extending the 'Line of Best Fit' to estimate values of one variable based on known values of another.

Front

What is the purpose of a 'Line of Best Fit'?

Back

The purpose of a 'Line of Best Fit' is to summarize the relationship between two variables and to make predictions based on that relationship.