Linear Regression

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 does the slope in a linear regression equation represent?

Back

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

Front

What is the general form of a linear regression equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

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

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables.

Front

What does an r value of -0.89 indicate?

Back

An r value of -0.89 indicates a strong negative correlation between the two variables.

Front

What does an r value of 0 indicate?

Back

An r value of 0 indicates no correlation between the two variables.

Front

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

Back

The y-intercept is the value of y when the independent variable x is 0.

Front

How do you interpret the slope of the equation y = 61.93x - 1.79?

Back

The slope of 61.93 means that for every additional hour of driving, the distance driven increases by 61.93 miles.