Question

the regression equation y = 1.3x + 6.8 approximates the number of minutes it takes an employee to drive to work, y, given the number of miles the employee has to drive, x. which statement is true? for every extra mile an employee drives, the driving time increases by 1.3 minutes. for every extra minute an employee drives, the distance increases by 6.8 miles. for every extra minute an employee drives, the distance increases by 1.3 miles. responses for every extra mile an employee drives, the driving time increases by 6.8 minutes.

Explanation:

Step1: Analyze the regression equation

The regression equation is in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the equation \(y = 1.3x+6.8\), \(y\) represents driving time (in minutes) and \(x\) represents the number of miles.

Step2: Interpret the slope

The slope \(m = 1.3\). In the context of the problem, the slope represents the change in \(y\) (driving time) for a unit change in \(x\) (number of miles). So, when \(x\) (miles) increases by 1, \(y\) (driving time) changes by \(m = 1.3\).

Answer:

For every extra mile an employee drives, the driving time increases by 1.3 minutes.