In testing H_0: beta = 0 against H_1: beta neq 0 in simple linear regression with n = 7 observations, the test statistic follows a t-distribution with degrees of freedom:

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CSS Statistics QUESTION #2014

Question 1

In testing \(H_0: \beta = 0\) against \(H_1: \beta \neq 0\) in simple linear regression with \(n = 7\) observations, the test statistic follows a t-distribution with degrees of freedom:

5✔️
6
7
4

Correct Answer Explanation

In simple linear regression with \(n\) observations, the t-test for the slope \(\beta\) uses \(df = n - 2\) degrees of freedom (one lost for the slope, one for the intercept). With \(n = 7\), \(df = 7 - 2 = 5\).

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