Math 8 - Scatterplots and Trend Lines (Flashcard 11.2)

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatterplot, indicating the general direction of the data points.

Front

How do you determine the equation of a trend line?

Back

The equation of a trend line can be determined using statistical methods such as linear regression, which calculates the best fit line for the data.

Front

What does the slope of a trend line represent?

Back

The slope of a trend line represents the rate of change between the two variables; it indicates how much one variable changes for a unit change in the other variable.

Front

What is the y-intercept in the context of a trend line?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the trend line on the y-axis.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to make predictions by substituting a value for x into the equation of the trend line to find the corresponding value of y.

Front

What does a positive slope indicate in a scatterplot?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate in a scatterplot?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the purpose of the line of best fit?

Back

The line of best fit minimizes the distance between the line and all the data points, providing the most accurate representation of the data.

Front

How can you estimate values using a trend line?

Back

You can estimate values by locating the desired x-value on the scatterplot and finding the corresponding y-value on the trend line.