7.7 Homework - PreAlgebra

Front

What is the equation of the line of best fit?

Back

The equation of the line of best fit is a linear equation that best represents the data points in a scatter plot. It is used to predict values based on trends in the data.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change between the two variables. It indicates how much one variable changes for a unit change in another variable.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables. Each point represents an observation.

Front

How do you interpret the slope of -5/7?

Back

A slope of -5/7 means that for every 7 units increase in the x-variable, the y-variable decreases by 5 units.

Front

What is the purpose of a trend line in a scatter plot?

Back

A trend line is used to show the general direction of the data points in a scatter plot. It helps in predicting values.

Front

What does it mean if a line has a positive slope?

Back

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

Front

What does it mean if a line has a negative slope?

Back

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

Front

How can you use a line of best fit to make predictions?

Back

You can use the line of best fit to estimate the value of one variable based on the value of another variable by finding the corresponding point on the line.

Front

What is the formula for calculating the slope of a line?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.