Question

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, 266, 270, 292, 305, 318, 321, 326, 336
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. graph description
b. graph description
c. graph description
d. graph description

Explanation:

Step1: Analyze the data trend

The attendance data (y) increases as the year (x) increases (from 1990 to 2006, y goes from 254 to 336). So the scatter plot should show a positive correlation (upward - sloping trend line).

Step2: Evaluate the graphs

• Graph A: The trend line is upward - sloping, and the data points seem to follow an increasing trend, consistent with our data.
• Graph B: The trend line is downward - sloping (negative correlation), which contradicts the increasing attendance data.
• Graph C: The y - intercept seems too low (starts around 230), but our first data point in 1990 is 254, so the starting point of the trend line in C is not appropriate.
• Graph D: The trend line is downward - sloping (negative correlation), which contradicts the data.

Answer:

A. The graph with upward - sloping trend line (the first graph option A)