Scatter Plots and Correlation

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 correlation mean in statistics?

Back

Correlation refers to a statistical measure that describes the extent to which two variables change together. It can be positive, negative, or no correlation.

Front

What is a positive correlation?

Back

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

Front

What is a negative correlation?

Back

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

Front

What does 'no association' mean in a scatter plot?

Back

'No association' means that there is no discernible relationship between the two variables being plotted.

Front

How do you identify the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, represented as the constant term in the equation of the line.

Front

Write the equation for a car's value that depreciates $2000 per year starting from $25,000.

Back

y = -2000x + 25000, where y is the value of the car and x is the number of years.

Front

What is the slope of a line in a scatter plot?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

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

Back

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

Front

What is the equation for the total cost of a school banquet based on the number of attendees?

Back

y = 95 + 15x, where y is the total cost and x is the number of people attending.