Modeling Linear Functions

Front

What does a correlation indicate about two variables?

Back

A correlation shows that two things are related.

Front

What type of correlation is represented by a downward sloping line on a graph?

Back

negative linear

Front

What is the purpose of a line of best fit in data analysis?

Back

To make predictions based on the data.

Front

How do you determine the equation of a line that is perpendicular to another line?

Back

The slope of the perpendicular line is the negative reciprocal of the original line's slope.

Front

What is the equation of a line that is perpendicular to the line y=-2/7x+4/7 and passes through the point (-6,5)?

Back

y=7/2x+26.

Front

What does it mean if a line is an accurate line of best fit for a set of data?

Back

It means the line closely represents the trend of the data points.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y over the change in x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you identify a positive correlation in a graph?

Back

A positive correlation is indicated by an upward sloping line.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.