Linear Regression

Front

What is Linear Regression?

Back

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 does a positive correlation indicate?

Back

As one variable increases, the other variable also increases.

Front

What is the slope in a linear regression equation?

Back

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

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

The y-intercept, which is the value of y when x is 0.

Front

What does an r value of 0.3 indicate?

Back

A weak positive correlation between the two variables.

Front

How do you interpret the slope of 61.93 in the context of driving?

Back

They drove at a speed of 61.93 miles per hour.

Front

What is a scatter plot?

Back

A graphical representation that shows the relationship between two quantitative variables.

Front

What does a trend line in a scatter plot represent?

Back

The general direction or pattern of the data points.

Front

How can you use a trend line to make predictions?

Back

By extending the trend line to estimate the value of the dependent variable for a given independent variable.