Scatterplots and Linear Regression

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a negative relationship in a scatterplot indicate?

Back

A negative relationship indicates that as one variable increases, the other variable tends to decrease.

Front

What is linear regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatterplot, minimizing the distance between the line and all the points.

Front

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

Back

The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

Front

What does it mean if a scatterplot shows no relationship?

Back

It means that there is no discernible pattern or correlation between the two variables being plotted.

Front

What is the formula for a linear regression line?

Back

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

Front

How can you predict values using a linear regression equation?

Back

You can predict values by substituting the independent variable into the linear regression equation to calculate the corresponding dependent variable.

Front

What is the significance of the y-intercept in a linear regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What does a scatterplot with a positive relationship look like?

Back

A scatterplot with a positive relationship shows that as one variable increases, the other variable also tends to increase, resulting in an upward trend.