Scatterplots & Linear Regression

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does a linear regression line represent in a scatterplot?

Back

A linear regression line represents the best fit line that minimizes the distance between the line and all the data points in the scatterplot.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does a positive correlation in a scatterplot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation in a scatterplot indicate?

Back

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

Front

What is the purpose of finding a line of best fit?

Back

The purpose of finding a line of best fit is to make predictions about the dependent variable based on the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of the dependent variable for a given value of the independent variable.

Front

What does it mean if the slope of a line is 0?

Back

If the slope of a line is 0, it means there is no change in the dependent variable regardless of changes in the independent variable.