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Suppose you wanted to find a critical test statistic for a confidence interval for the slope of the regression line. How many degrees of freedom would you need to use?

Sagot :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the regression line is not given.

However, I will give a general explanation of how to calculate the degree of freedom of a slope of regression line

The degree of freedom is calculated using:

[tex]df = n - k[/tex]

Where

[tex]k \to number\ of\ parameters[/tex]

[tex]n \to sample\ size.[/tex]

For a regression line; there are two parameters that are being estimates;

The intercept and the slope. So:

[tex]k = 2[/tex]

Hence, the degree of freedom of a slope of regression line is:

[tex]df = n -2[/tex]

So; if for example

[tex]n =101[/tex]

the degree of freedom will be:

[tex]df =101 - 2[/tex]

[tex]df =99[/tex]

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