Modeling Linear Functions

Front

What is a residual in the context of linear functions?

Back

A residual is the vertical distance between a data point and a line of fit.

Front

What type of correlation exists between study time and test grades?

Back

Positive correlation.

Front

What does a positive linear correlation indicate?

Back

As one variable increases, the other variable also increases.

Front

How do you find the slope of a line perpendicular to a given line?

Back

The slope of the perpendicular line is the negative reciprocal of the slope of the given line.

Front

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

Back

Front

Back

Front

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

Back

Front

How can you determine the number of hours worked from a graph showing earnings?

Back

By finding the point on the graph that corresponds to the earnings and reading the x-value.

Front

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

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What does it mean if there is no correlation between two variables?

Back

It means that changes in one variable do not predict changes in the other variable.