Scatterplot Predictions

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables, with one variable plotted along the x-axis and the other along the y-axis.

Front

What does a trend line represent in a scatterplot?

Back

A trend line represents the general direction or pattern of the data points in a scatterplot, indicating the relationship between the two variables.

Front

How do you determine the slope of a trend line?

Back

The slope of a trend line is calculated by taking the change in the y-values divided by the change in the x-values (rise over run).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line indicate?

Back

The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x). A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

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 scatterplot, minimizing the distance between the line and all the data points.

Front

How can you identify a line of best fit on a scatterplot?

Back

A line of best fit can be identified as the line that passes through the center of the data points, balancing the points above and below the line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.

Front

What does a negative slope indicate in a scatterplot?

Back

A negative slope indicates an inverse relationship between the two variables, meaning as one variable increases, the other decreases.

Front

How do you write the equation of a line of best fit from a scatterplot?

Back

To write the equation of a line of best fit, identify the slope and y-intercept from the trend line and use the slope-intercept form y = mx + b.