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 estimated daily 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 is estimated to increase by 45.924 people. This can be found by calculating:
45.924(1) = 45.924
Therefore, adding one ride would increase daily attendance by approximately 46 people.
3. If the park has 24 rides, the estimated daily attendance would be:
y = 45.924(24) + 3,788.659
y = 1,101.776 + 3,788.659
y = 4,890.435
So, if the park has 24 rides, on average, about 4,890 people would attend the park in one day.