12/9 Warm Up

Front

What is the linear regression equation for a set of data?

Back

Front

How do you calculate the slope (m) in a linear regression equation?

Back

Front

What does the y-intercept (b) represent in a linear regression equation?

Back

The y-intercept (b) represents the value of y when x is 0 in the linear regression equation.

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does an r value of 0.99 indicate?

Back

An r value of 0.99 indicates a very strong positive linear relationship between the two variables.

Front

What is the purpose of using a Desmos table in linear regression?

Back

A Desmos table helps visualize data points and calculate the linear regression equation and correlation coefficient easily.

Front

What is the formula for linear regression in terms of y and x?

Back

Front

What does it mean if the slope (m) is negative in a linear regression equation?

Back

A negative slope (m) indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

How can you determine the best fit line for a set of data?

Back

The best fit line is determined by minimizing the sum of the squares of the vertical distances of the points from the line.

Front

Back

This equation indicates that for every unit increase in x, y increases by 1.5, and when x is 0, y is 12.