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Chapter 12: Q.26 (page 764)

A 95%confidence interval for the population slope 尾is

(a) 1.0466卤149.5706.

(b) 1.0466卤0.2415.

(c) 1.0466卤0.2387.

(d) 1.0466卤0.1983.

(e) 1.0466卤0.1126.

Short Answer

Expert verified

The slope of the true regression line is 1.0466卤0.2415. Therefore, option (b) is the correct option.

Step by step solution

01

Given Information

Given in the question that,

n=16

b=-1.0466

SEb=0.1126

02

Explanation

The degrees of freedom is the sample size decreased by 2 :

df=n-2

=16-2

=14

The critical t-value can be found in table Bin the row of df=14and in the column of c=95%as:

t*=2.145

Thus, the confidence interval is as:

b卤t*脳SEb=1.0466卤2.145脳0.1126

=1.0466卤0.2415

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