M1T3 Review - 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 indicates the rate of change of the dependent variable for each unit increase in the independent variable.

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What is a positive correlation?

Back

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

Front

What is a negative correlation?

Back

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

Front

What does a correlation coefficient (r) of 1 indicate?

Back

A correlation coefficient of 1 indicates a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient (r) of -1 indicate?

Back

A correlation coefficient of -1 indicates a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient (r) of 0 indicate?

Back

A correlation coefficient of 0 indicates no linear relationship between the two variables.

Front

How do you interpret a correlation coefficient of r = -0.3?

Back

A correlation coefficient of r = -0.3 indicates a weak negative linear relationship between the two variables.

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 scatter plot, minimizing the distance between the line and all data points.

Front

How do you calculate the predicted value using a linear regression equation?

Back

To calculate the predicted value, substitute the value of the independent variable into the linear regression equation.