Question

read the following description of a data set.
an automobile dealership ran a radio ad campaign to help sell its least popular model. the dealership always used the same ad but broadcast it a different number of times each week.
the sales manager tallied the number of ads broadcast each week, x, and the weekly sales of the model, y.
the least squares regression line of this data set is:
y = 1.842x - 29.945
complete the following sentence:
for each additional ad, the least squares regression line predicts additional sales of the model.

Explanation:

Step1: Recall the regression line formula

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

Step2: Interpret the slope

In the given regression line \(y = 1.842x-29.945\), the coefficient of \(x\) (the slope \(m = 1.842\)) represents the change in \(y\) (weekly sales) for a one - unit change in \(x\) (number of ads).

Answer:

\(1.842\)