Percentages of public school students in fourth grade in 1996 and in eighth grade in 2000 who were at or above the pro?cient level in mathematics were given in the article "Mixed Progress in Math" (USA Today, August 3, 2001) for eight western states:
State 4th grade (1996) 8th grade (2000)
|
Arizona
|
15
|
21
|
|
California
|
11
|
18
|
|
Hawaii
|
16
|
16
|
|
Montana
|
22
|
37
|
|
New Mexico
|
13
|
13
|
|
Oregon
|
21
|
32
|
|
Utah
|
23
|
26
|
Wyoming 19 25
a. Construct a scatterplot, and comment on any interesting features.
b. Find the equation of the least-squares line that summarizes the relationship between x 5 1996 fourth- grade math pro?ciency percentage and y 5 2000 eighth-grade math pro?ciency percentage.
c. Nevada, a western state not included in the data set, had a 1996 fourth-grade math pro?ciency of 14%. What would you predict for Nevada's 2000 eighth- grade math pro?ciency percentage? How does your prediction compare to the actual eighth-grade value of 20 for Nevada?