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) 250 266 268 292 300 319 322 329 339
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.
Since we have data points for the years and the corresponding attendance numbers, we can create a scatter plot graph.
Here is the scatter plot graph with the trend line:
(see attached image)
To draw the trend line, we can use linear regression to find the equation of a line that best fits the data points.
The equation of the trend line is:
y = 4.014*x - 7959.209
To estimate the attendance at the theme parks in the country in 2005, we can substitute x = 2005 into the equation:
y = 4.014*2005 - 7959.209
y = 8016.07 - 7959.209
y ≈ 56.861
Therefore, the estimated attendance at theme parks in the country in 2005 is approximately 56.861 million.