The accompanying table shows a portion of the average SAT math score (Math), the average SAT writing score (Writing), the number of test takers (Test Taker), and whether the school is a private or public school (Type) for 25 high schools in a major metropolitan area.

School	Math	Writing	Test Takers	Type
1	410	422	240	Public
2	467	382	430	Public
25	622	579	139	Private

Click here for the Excel Data File

a-1.Construct a bubble plot that shows math score on the x-axis, writing score on the y-axis, and number of test takers as the size of the bubble. Given the bubble plot, which statement best describes the relationship between math scores and writing scores?

multiple choice 1

• Math scores and writing scores have no relationship.
• Math scores and writing scores have a positive linear relationship.
• Math scores and writing scores have a negative linear relationship.
• Math scores and writing scores have a non-linear (U-shaped) relationship.

a-2.Given the bubble plot, which statement best describes the relationship between math scores and the size of the school (the number of test takers)?

multiple choice 2

• Math scores and the size of the school have no apparent relationship.
• Larger schools have higher test scores.
• Smaller schools have higher test scores.
• Math scores and the size of the school have an inverted U-shaped relationship.

b.Construct a scatterplot that shows math score on the x-axis and writing score on the y-axis. Use different colors or symbols to show whether the high school is a private or a public school. Which of the following statements best describes the relationship between math scores, writing scores, and type of school?

multiple choice 3

• Private schools tend to have higher math and writing scores.
• Public schools tend to have higher math and writing scores.
• There is no relationship between type of school and test scores.
• Both types of schools show a negative relationship between math and writing scores.