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Chapter 12: Q. 2.1 (page 755)

The previous Check Your Understanding (page 750) described some results from a study of body weights and backpack weights. Here, again, is the Minitab output from the least-squares regression analysis for these data.

1. Do these data provide convincing evidence of a linear relationship between pack weight and body weight in the population of ninth-grade students at the school? Carry out a test at the a=0.05significance level. Assume that the conditions for regression inference are met.

Short Answer

Expert verified

There is sufficient evidence to support the claim of a linear relationship between pack weight and body weight in the population of the ninth-grade students at the school.

Step by step solution

01

Given Information

It is given in the output as:

n=8

b=0.09080

SEb=0.02831

02

Explanation

Let's define the hypothesis by:

H0:尾=0

Ha:尾鈮�0

The value of the test statistics is as:

t=b-尾SEb

=0.09080-00.02831

=3.2073

And the degrees of freedom are:df=n-2

8-2=6

Thus, the P-value is as:

0.006<P<0.018

The null hypothesis is rejected if the P-value is less than or equal to the significance level, as follows:

P<0.05鈬�RejectH0

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Most popular questions from this chapter

A residual plot from the least-squares regression is shown below. Which of the following statements is supported by the graph

(a) The residual plot contains dramatic evidence that the standard deviation of the response about the population regression line increases as the average number of putts per round increases.

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Suppose that the mean weight of a certain type of pig is 280poundswith a standard deviation of80pounds. The weight distribution of pigs tends to be somewhat skewed to the right. A random sample of 100pigs is taken. Which of the following statements about

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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 teachers 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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