Question

fans of the science fiction television show space cruiser zeta are hosting a convention. to figure out how much space the event will require, an employee at the convention center looked at the space requirements for previous conventions. for each convention, the employee recorded the number of attendees, x, and the floor space required (in square meters), y. the correct least squares regression line for the data set is: y = 1.514x + 1,658.548 use it to complete the following sentence: the least squares regression line predicts that a convention would use additional square meters of floor space for each additional attendee.

Explanation:

Step1: Recall the form of a linear regression equation

The general form of a linear regression equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Interpret the slope in the context of the problem

In the equation \(y = 1.514x+1658.548\), \(x\) represents the number of attendees and \(y\) represents the floor space. The slope \(m = 1.514\). The slope of a regression line \(y=mx + b\) gives the change in \(y\) (floor space) for a unit change in \(x\) (number of attendees).

Answer:

\(1.514\)