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Chapter 2: Q128e (page 131)

Question: State SAT scores.Refer to Exercise 2.27 (p. 84) and the data on state SAT scores. Construct a scatterplot for the data, with the 2010 Math SAT score on the horizontal axis and the 2014 Math SAT score on the vertical axis. What type of trend do you detect?

State

2010 Math SAT

2014 Math SAT

Alabama

538

550

Alaska

503

513

Arizona

527

524

Arkansa

571

564

California

510

516

Wisconsin

608

603

Wyoming

599

565

Short Answer

Expert verified

Answer:

The image is given below:

There is an upward sloping positive trend.

Step by step solution

01

Constructing the scatterplot

We will plot the 2010 SAT Scores on the X-axis and 2014 SAT scores on the Y-axis.

The graph is given below:

02

Detecting the trend 

There is a positive trend in the Math SAT scores. States who have performed well in 2010 have also performed well in 2014 and are towards the top right corner of the graph.

States that have performed poorly in 2010 have also performed poorly in 2014 and lie on the bottom left of the graph.

This has created an upward slope.Therefore, there is an upward trend in the data.

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