The table below shows the attendance in millions at theme parks in a certain country. Make a scatter plot of the data pairs. Draw a trend line and write its equation. Estimate the attendance at theme parks in the country in 2005.
Write an equation of the trend line, rounding to two decimal places as needed. For this problem, choose the points (1990253,) and (2002,321)
Estimate the attendance at theme parks in the country in 2005.
Unfortunately, I cannot provide a scatter plot as it requires a visual representation. However, I can provide the equation of the trend line and estimate the attendance in 2005 based on the given information.
The equation of the trend line can be found using the two points provided: (1990, 253) and (2002, 321).
First, let's calculate the slope of the trend line:
slope = (y2 - y1) / (x2- x1)
slope = (321 - 253) / (2002 - 1990)
slope = 68 / 12
slope = 5.67
Now, let's calculate the y-intercept of the trend line:
y = mx + b
253 = 5.67(1990) + b
b = 253 - (5.67 * 1990)
b = 253 - 11308.3
b = -11055.3
Therefore, the equation of the trend line is:
y = 5.67x - 11055.3
To estimate the attendance at theme parks in the country in 2005, we substitute x = 2005 into the equation:
y = 5.67 * 2005 - 11055.3
y ≈ 11340.35
Therefore, the estimated attendance at theme parks in the country in 2005 is approximately 11,340.35 million.