Linear Regression and Inverse Function Review

Front

What is the inverse of the coordinates (1, 2), (3, 8), (-3, 6)?

Back

The inverse coordinates are (2, 1), (8, 3), (6, -3).

Front

What does it mean to find the inverse of a function?

Back

It means to switch the x's and y's in the function.

Front

What is the correlation coefficient for the relationship between the number of steps taken per day and the number of kilometers walked per day if r = 0.92?

Back

The relationship is strong positive.

Front

Estimate the correlation coefficient for a scatterplot that appears to have a strong positive trend.

Back

r is approximately 0.89.

Front

If f(x) = x + 5, what is f^-1(x)?

Back

f^-1(x) = x - 5.

Front

What is the general form of a linear regression equation?

Back

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

Front

How do you interpret the slope (m) in a linear regression model?

Back

The slope represents the change in the dependent variable for a one-unit change in the independent variable.

Front

What does a correlation coefficient of 0 indicate?

Back

It indicates no linear relationship between the two variables.

Front

What is the purpose of finding the inverse of a function in mathematics?

Back

To determine the function that 'undoes' the original function.

Front

What is the range of possible values for a correlation coefficient?

Back

The range is from -1 to 1.