True or False - Justify:

The least-squares regression equation minimizes the sum of squared errors.

A correlation of .75 indicates a relationship that is 3 times as linear as one for which the correlation is only .25.

If linear regression creates an appropriate model for data, there should be a clear pattern in the graph of residuals.

A high correlation (at least 0.95) between independent variable x and dependent variable y proves that x causes y.

A negative r value indicates that ordered pairs with higher x values will tend to have lower y values.