Question content area top Part 1 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) 251 265 265 291 304 317 325 328 339 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 (1990,251) and (2002,325). Choose the correct answer below. A. y=−6.17x−442.17 B. y=6.17x−12,020.67 Your answer is correct.C. y=−6.17x+12,020.67 D. y=6.17x+442.17 Part 3 Estimate the attendance at theme parks in the country in 2005. The estimated attendance was 332332 million. (Round to the nearest whole number as needed. Use the answer from the previous part to find this answer.)
1 answer
Part 2: To find the equation of the trend line, we can use the formula for the equation of the line: y = mx + b, where m is the slope and b is the y-intercept.
Using the points (1990, 251) and (2002, 325), we can find the slope:
m = (325 - 251) / (2002 - 1990) = 6.17
Now we can substitute one of the points into the equation and solve for b:
251 = 6.17 * 1990 + b
b = 251 - 6.17 * 1990 = -12,020.67
Therefore, the equation of the trend line is y = 6.17x - 12,020.67. The correct answer is B.
Part 3: To estimate the attendance at theme parks in the country in 2005, we can substitute x = 2005 into the equation and solve for y:
y = 6.17 * 2005 - 12,020.67 = 332.33
The estimated attendance in 2005 is 332 million.