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. Year 1990 1992 1994 1996 1998 2000 2002 2004 2006 Attendance (millions) 254 268 268 290 301 320 323 327 339 Question content area bottom Part 1 Let x be the year and let y be the attendance that year in millions. Make a scatter plot of the data pairs and draw a trend line. Choose the correct graph below. A. 1988 2008 230 350 x y x y graph B. 1988 2008 230 350 x y x y graph Your answer is correct.C. 1988 2008 230 350 x y x y graph D. 1988 2008 230 350 x y x y graph Part 2 Write an equation of the trend line, rounding to two decimal places as needed. For this problem, choose the points (1990,254) and (2002,323). Choose the correct answer below.
Based on the given data pairs, the correct scatter plot would be graph C (1988-2008, 230-350, x-y graph).
To find the equation of the trend line, we can use the two points (1990, 254) and (2002, 323).
First, find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
m = (323 - 254) / (2002 - 1990)
m = 69 / 12
m ≈ 5.75
Next, use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
y - 254 = 5.75(x - 1990)
Expand and simplify:
y - 254 = 5.75x - 11442.5
y ≈ 5.75x - 11201.5
Rounding to two decimal places, the equation of the trend line is:
y ≈ 5.75x - 11201.50
To estimate the attendance at theme parks in the country in 2005, substitute x = 2005 into the equation:
y ≈ 5.75(2005) - 11201.5
y ≈ 11543.75 - 11201.5
y ≈ 342.25
Therefore, the estimated attendance at theme parks in the country in 2005 is 342.25 million.