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 line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow, and can be used to make predictions.

Front

How can you interpret a positive correlation in a linear regression context?

Back

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

Front

What does a correlation coefficient of 0 indicate?

Back

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

Front

What is the purpose of using a trend line in a scatter plot?

Back

A trend line is used to summarize the relationship between the variables and to make predictions based on the data.

Front

How do you determine the slope of the line of best fit?

Back

The slope of the line of best fit is determined by the change in the dependent variable divided by the change in the independent variable, indicating how much the dependent variable changes for a unit change in the independent variable.

Front

What does it mean if the line of best fit is steep?

Back

A steep line of best fit indicates a strong relationship between the variables, meaning that a small change in the independent variable results in a large change in the dependent variable.

Front

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

Back

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

Front

How can you use a scatter plot to predict values?

Back

You can use a scatter plot to predict values by locating the independent variable on the x-axis, finding the corresponding point on the trend line, and reading the predicted value of the dependent variable on the y-axis.

Front

What does it mean if the correlation between two variables is negative?

Back

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