Question

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 = 476.022x - 90.351 what average daily attendance does this line predict for an amusement park with 13 rides? round your answer to the nearest integer.

Explanation:

Step1: Substitute \(x = 13\) into the regression equation

Given the regression line \(y=476.022x - 90.351\), when \(x = 13\), we have \(y=476.022\times13-90.351\).
First, calculate \(476.022\times13\):

$$
LATEXBLOCK0
$$

Then subtract \(90.351\) from \(6188.286\): \(y=6188.286-90.351 = 6097.935\)

Step2: Round the result

Round \(6097.935\) to the nearest integer. Since the decimal part \(0.935\gt0.5\), we round up.

Answer:

\(6098\)