Scatterplots and Linear Regression

Front

What is a scatter plot?

Back

A scatter plot is a type of graph that shows the relationship between two sets of data by displaying points on a grid.

Front

What does a linear regression equation represent?

Back

A linear regression equation shows the relationship between two variables, predicting the value of one variable based on the other.

Front

What does the y-intercept in a linear regression equation mean?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the data.

Front

What does a positive correlation mean in a scatter plot?

Back

A positive correlation means that as one variable increases, the other variable also increases.

Front

What does a negative correlation mean in a scatter plot?

Back

A negative correlation means that as one variable increases, the other variable decreases.

Front

What is the purpose of using linear regression?

Back

Linear regression is used to predict the value of one variable based on the value of another variable.

Front

How do you interpret the slope of a linear regression line?

Back

The slope indicates how much y changes for a one-unit increase in x.

Front

What is the formula for a linear regression line?

Back

The formula is usually written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if a scatter plot shows no relationship?

Back

It means that there is no clear pattern or correlation between the two variables.

Front

How can you use a linear regression equation to make predictions?

Back

You can substitute a value for x into the equation to find the corresponding value of y.