Question

mr. norton wants to demonstrate the importance of proofreading to his english class. he had students read the same passage and mark all the spelling and grammar errors they could find. he recorded how many minutes each student had spent on the exercise, x, and how many errors that student had missed, y. the least squares regression line of this data set is: y = -1.403x + 13.226. complete the following sentence: for each additional minute a student spent proofreading, the least squares regression line predicts that he or she would miss fewer errors.

Explanation:

Step1: Analyze the regression - line equation

The equation of the least - squares regression line is in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the given equation \(y=-1.403x + 13.226\), the slope \(m=-1.403\).

Step2: Interpret the slope

The slope represents the change in \(y\) (number of missed errors) for a one - unit change in \(x\) (number of minutes spent proofreading). A negative slope means that as \(x\) (minutes of proofreading) increases by 1 unit, \(y\) (number of missed errors) decreases by the absolute value of the slope.

Answer:

1.403