Write an equation of the trend line, rounding to two decimal places as needed. For this problem, choose the points (1990,254) and (2002,322). Choose the correct answer below.
y = 5.67x - 11.022 * 0.67
Estimate the attendance at theme parks in the country in 2005.
The estimated attendance was __ million.
(Round to the nearest whole number as needed. Use the answer from the previous part to find this answer.)
To find the equation of the trend line, we first need to calculate the slope (m) and the y-intercept (b) using the given points (1990,254) and (2002,322).
Using the formula for slope:
m = (y2 - y1) / (x2 - x1)
m = (322 - 254) / (2002 - 1990)
m = 68 / 12
m = 5.67 (rounded to two decimal places)
Using the slope-intercept form of a line (y = mx + b), we can substitute the slope and one of the given points to solve for b.
Given point: (1990, 254)
254 = 5.67(1990) + b
254 = 11293.3 + b
b = 254 - 11293.3
b = -11039.3 (rounded to two decimal places)
The equation of the trend line is y = 5.67x - 11039.3.
To estimate the attendance at theme parks in the country in 2005, we need to substitute the year (x) into the equation and solve for the attendance (y).
x = 2005
y = 5.67(2005) - 11039.3
y = 11343.35 - 11039.3
y ≈ 304.05
The estimated attendance in 2005 is 304 million.