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Chapter 12: Q. R12.2 (page 822)

Do taller students require fewer steps to walk a fixed distance? The scatterplot shows the relationship between x=height (in inches) and y=number of steps required to walk the length of a school hallway for a random sample of 36 students at a high school.

A least-squares regression analysis was performed on the data. Here is some computer output from the analysis

Short Answer

Expert verified

As a result, because all conditions have been met, it is okay to proceed with the regression line.

Step by step solution

01

Given information

The given data is

02

Explanation

We must validate the following assumptions for inference about the slope of the least square regression line in this context from the previous exercise: Linear, Independent, Normal, Equal standard deviation, and Random.

Because there is no significant curvature in the residual plot, it is satisfied.

Independent: It is satisfying because the sample of 36high school students represents less than 10%of all high school pupils.

Normal: The tallest bars in the histogram are about in the middle of the histogram, indicating that the residual has a normal distribution.

Because the vertical spread in the points of the residual plot is about the same everywhere in the plot, it is satisfied.

Because the sample is a random sample, it is satisfied.

As a result, because all conditions have been met, it is okay to proceed with the regression line.

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Most popular questions from this chapter

About 1100high school teachers attended a weeklong summer institute for teaching AP Statistics classes. After learning of the survey described in Exercise 56, the teachers in the AP Statistics class wondered whether the results of the tattoo survey would be similar for teachers. They designed a survey to find out. The class opted to take a random sample of 100teachers at the institute. One of the first decisions the class had to make was what kind of sampling method to use.

a. They knew that a simple random sample was the 鈥減referred鈥� method. With 1100teachers in 40different sessions, the class decided not to use an SRS. Give at least two reasons why you think they made this decision.

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a. A one-sample z-test for a proportion

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