Question

1) Linear regression is important because ________.

it indicates how close our predictions of Y values are to the actual Y values

it is used to predict unknown Y scores based on X scores, even if the X variable is not correlated with the Y variable

it is a statistic that summarizes the relationship between the X and Y variables

it is used to predict unknown Y scores based on X scores from a correlated variable

2) The regression line is the best-fitting line because _______.

on average, the regression line passes through the center of the various Y means

it best takes into account all the X and Y scores

it is the straightest line that can be created through the Y scores

on average, the regression line passes through the center of the various Y standard deviations

Answer 1

Linear regression is used to predict value of dependent variable based upon values of one or more independent variables.

1)Linear regression is important because it is used to predict unknown Y scores based on X scores from a correlated variable.

The regression line is sometimes called the "line of best fit" because it is the line that fits best when drawn through the points. It is a line that minimizes the distance of the actual scores from the predicted scores.

2)The regression line is the best- fitting line because

on average, the regression line passes through the center of the various Y means