Question

read the following description of a data set. a property developer has a plan for a massive new amusement park but is unsure how many people might attend. to get a better sense of visitor numbers, she collected information from other amusement parks across the country. for each park, she noted the number of rides, x, as well as the average daily attendance, y. the least squares regression line of this data set is: y = 526.783x - 1,947.994 complete the following sentence: if an amusement park had one more ride, the least squares regression line predicts the average daily attendance would increase by \boxed{}.

Explanation:

Step1: Understand the regression line formula

The general form of a linear regression line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the given equation \(y = 526.783x-1947.994\), the coefficient of \(x\) is the slope.

Step2: Interpret the slope

The slope \(m = 526.783\) represents the change in \(y\) (average daily attendance) for a unit change in \(x\) (number of rides). When \(x\) increases by 1 (one more ride), \(y\) changes by \(m\).

Answer:

\(526.783\)