Line of best fit review

Front

What is the purpose of a line of best fit in a scatter plot?

Back

The line of best fit is used to represent the trend in the data points of a scatter plot, helping to visualize the relationship between the variables.

Front

How do you determine the slope of a linear equation from a graph?

Back

The slope of a linear equation can be determined by selecting two points on the line, calculating the change in y (rise) and the change in x (run), and then dividing the rise by the run.

Front

What does a weak positive correlation indicate in a scatter plot?

Back

A weak positive correlation indicates that as one variable increases, the other variable tends to increase slightly, but the relationship is not strong.

Front

What is a residual in the context of linear regression?

Back

A residual is the difference between the observed value and the predicted value from a linear model.

Front

How can you identify no relationship in a scatter plot?

Back

No relationship in a scatter plot is identified when the data points are scattered randomly without any discernible pattern or trend.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How do you calculate the predicted value using a linear equation?

Back

To calculate the predicted value, substitute the x-value into the linear equation and solve for y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x, showing how much y changes for a unit change in x.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.