Linear Regressions Vocab

The _______________ is a method that creates a regression line for a scatter plot that has two basic requirements:

1) the line must contain the centroid of the data set, and

2) the sum of the squares of the vertical distances from each given data point is at a minimum with the line.

The _______ is a point whose x-value is the mean of all the x-values of the points on the scatter plot and its y-value is the mean of all the y-values of the points on the scatter plot.

On a scatter plot, a __________ is a mathematical model that can be used to predict the values of a dependent variable based upon the values of an independent variable.

Using a linear regression to make predictions within the data set is called __________.

To make predictions for values of x that are outside of the data set is called ___________.

A measure of how well a regression fits a set of data is called a ________________.

The _____________________ is a value between -1 and 1, which indicates how close the data are to the graph of the regression equation. The closer the ____________ is to -1 or 1, the stronger the relationship is between the two variables. The variable r is used to represent the _____________.

The _________ measures how well the graph of a regression fits the data. It is calculated by squaring the correlation coefficient and represents the percentage of variation of the observed values of the data points from their predicted values.

___________ is when one event affects the outcome of a second event.

A correlation is a ____________ for causation, meaning that for one variable to cause another, they must be correlated.