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Chapter 12: Q. T12.3 (page 824)

T12.3 Inference about the slope 尾1 of a least-squares regression line is based on which of
the following distributions?
a. The tdistribution with n鈭�1 degrees of freedom
b. The standard Normal distribution
c. The chi-square distribution with n鈭�1 degrees of freedom
d. The t distribution with n-2 degrees of freedom
e. The Normal distribution with mean 渭 and standard deviation 蟽.

Short Answer

Expert verified

The correct answer is option (d) The tdistribution with n-2 degrees of freedom.

Step by step solution

01

Given information

To inference about the slope 尾1 of a least-squares regression line is based on which of the following distributions.

02

Explanation

To figure out the below distributions biases inference about a least-squares regression line's slope 尾1.
To establish the least square regression line, two parameters must be estimated: the y-intercept and the slope.
The t-distribution with degrees of freedom equal to the sample size n minus the number of calculated parameters becomes the appropriate distribution.
As a result,
df=n-2
Therefore, the correct answer is option (d).

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