Unit 3: Two Variable Data Flashcard

Front

What is a scatter plot?

Back

A scatter plot is a graph of plotted points that shows a relationship between two sets of data.

Front

What does the slope (m) represent in the equation y=mx+b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

How can you interpret the slope of a linear regression equation?

Back

The slope indicates the speed or rate at which one variable changes in relation to another variable.

Front

What is the purpose of linear regression?

Back

Linear regression is used to model the relationship between two variables by fitting a linear equation to observed data.

Front

What does the y-intercept (b) represent in the equation y=mx+b?

Back

The y-intercept (b) represents the value of y when x is zero.

Front

How do you predict values using a linear regression equation?

Back

To predict values, substitute the given x value into the linear regression equation and solve for y.

Front

What is the relationship between outside temperature and ice cream sales as indicated by the scatter plot?

Back

As the outside temperature increases, the ice cream sales increase.

Front

What is the linear regression equation given in the quiz?

Back

The linear regression equation is y = 61.93x - 1.79.

Front

If a person drives for 10 hours, how far will they travel according to the linear regression model?

Back

They will travel 617.5 miles.

Front

What is the significance of the linear regression equation in real-world applications?

Back

It helps in making predictions based on the relationship between two variables.