a property developer has a plan for a massive new amusement park, but is unsure how many people will go to…

a property developer has a plan for a massive new amusement park, but is unsure how many people will go to the new park. she decides to collect data from other amusement parks across the united states. for each park, she noted the number of rides x, as well as the average daily attendance, y.\nthe regression line is:\ny = 63.814x + 4,217.803\n(3 points)\nusing the regression line, about many people would attend this park if there were zero rides?\nif one additional ride was added to the park, the regression line predicts the attendance would increase by how many people?\nif the park has 16 rides, on average, how many people are expected to attend the park in one day?

a property developer has a plan for a massive new amusement park, but is unsure how many people will go to the new park. she decides to collect data from other amusement parks across the united states. for each park, she noted the number of rides x, as well as the average daily attendance, y.\nthe regression line is:\ny = 63.814x + 4,217.803\n(3 points)\nusing the regression line, about many people would attend this park if there were zero rides?\nif one additional ride was added to the park, the regression line predicts the attendance would increase by how many people?\nif the park has 16 rides, on average, how many people are expected to attend the park in one day?

Answer

Answer:

  1. 4217.803
  2. 63.814
  3. 5238.827

Explanation:

Step1: Find attendance for zero rides

Substitute $x = 0$ into $y=63.814x + 4217.803$. So $y=63.814\times0 + 4217.803=4217.803$.

Step2: Find increase per ride

The slope of the regression line $y = mx + b$ represents the change in $y$ for a unit - change in $x$. Here, $m = 63.814$, so for one additional ride, attendance increases by 63.814 people.

Step3: Find attendance for 16 rides

Substitute $x = 16$ into $y=63.814x + 4217.803$. Then $y=63.814\times16+4217.803=1021.024 + 4217.803=5238.827$.