Question

read the following description of a data set. the operator of an electric plant was concerned about the performance of some of its wind turbines. he consulted the manuals to find the rotor diameter of each turbine (in meters), x. then, on a day with steady wind, he checked the control panel and noted each turbines power output (in kilowatts), y. the least squares regression line of this data set is: y = 37.045x - 1,679.524 complete the following sentence: for each additional meter of rotor diameter, the least squares regression line predicts the power output of a turbine would increase by kilowatts.

Explanation:

Step1: Recall the regression line formula

The regression line is \( y = mx + b \), where \( m \) is the slope.

Step2: Identify the slope

In the given line \( y = 37.045x - 1679.524 \), the slope \( m = 37.045 \).

Answer:

\( 37.045 \)