Linear Regressions

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 represent?

Back

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

Front

What is the formula for linear regression?

Back

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

Front

What does a correlation coefficient of 0.92 indicate?

Back

It indicates a strong positive correlation between the two variables being analyzed.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using dots for each data point.

Front

What does a positive correlation mean?

Back

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

Front

What does a negative correlation mean?

Back

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

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

What is the y-intercept in a linear equation?

Back

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

Front

How can you interpret the slope of -1.4 in a context?

Back

It means that for every year that passes, the dependent variable decreases by 1.4 units.