Scatterplots and Linear Regression

Front

What is a scatterplot?

Back

A scatterplot 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 line do?

Back

A linear regression line shows the best fit line through a scatterplot, helping to predict values based on the data.

Front

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

Back

The y-intercept is the value of y when x is 0; it shows where the line crosses the y-axis.

Front

What does a strong positive correlation mean?

Back

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

Front

What does a scatterplot with no relationship look like?

Back

A scatterplot with no relationship shows points that are scattered randomly with no clear pattern.

Front

How do you predict a value using a linear regression equation?

Back

To predict a value, substitute the x value into the equation and solve for y.

Front

What is the formula for a linear regression line?

Back

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

Front

What does the slope of a linear regression line indicate?

Back

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

Front

What is an example of a weak negative correlation?

Back

A weak negative correlation means that as one variable increases, the other variable slightly decreases, but not strongly.

Front

What is the purpose of collecting data for a scatterplot?

Back

The purpose is to visualize the relationship between two variables and identify patterns.