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.
The regression line is:
y=45.924x+3,788.659
(3 points)
Using the regression line, about many people would attend this park if there were zero rides?
If one additional ride was added to the park, the regression line predicts the attendance would increase by how many people?
If the park has 24 rides, on average, how many people are expected to attend the park in one day?
1. If there were zero rides, the predicted attendance would be:
y = 45.924(0) + 3,788.659
y = 3,788.659
So, about 3,789 people would attend the park if there were zero rides.
2. If one additional ride was added to the park, the attendance would increase by:
Change in y = 45.924
So, if one additional ride is added, the attendance would increase by about 45 people.
3. If the park has 24 rides, the expected attendance would be:
y = 45.924(24) + 3,788.659
y = 1,101.376 + 3,788.659
y = 4,890.035
On average, about 4,890 people are expected to attend the park in one day with 24 rides.