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, he collected information from other amusement parks across the country. for each park, he 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 = 424.997x - 583.615. what average daily attendance does this line predict for an amusement park with 11 rides? round your answer to the nearest integer.

Explanation:

Step1: Substitute x - value

We are given the regression line $y = 424.997x-583.615$ and $x = 11$. Substitute $x = 11$ into the equation: $y=424.997\times11 - 583.615$.

Step2: Calculate the product

First, calculate $424.997\times11=4674.967$.

Step3: Calculate the difference

Then, $y = 4674.967-583.615=4091.352$.

Step4: Round the result

Round $4091.352$ to the nearest integer. Since the decimal part $0.352<0.5$, we get $y\approx4091$.

Answer:

4091