Question

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?

Answer 1

See Explanation

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:

`df = n - k`

Where

`k \to number\ of\ parameters`

`n \to sample\ size.`

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

The intercept and the slope. So:

`k = 2`

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

`df = n -2`

So; if for example

`n =101`

the degree of freedom will be:

`df =101 - 2`

`df =99`