# Question: Verify that the formula for t of Theorem 14 4 can

Verify that the formula for t of Theorem 14.4 can be written as

Theorem 14.4

Under the assumptions of normal regression analysis,

Is a value of a random variable having the t distribution with n – 2 degrees of freedom.

Theorem 14.4

Under the assumptions of normal regression analysis,

Is a value of a random variable having the t distribution with n – 2 degrees of freedom.

## Answer to relevant Questions

Use the formula for t of Exercise 14.28 to derive the following (1 – α) 100% confidence limits for β: In exercise If b is the column vector of the β’s, verify in matrix notation that q = (Y – Xb)'(Y – Xb) is a minimum when b = B = (X'X)–1(X'Y). Various doses of a poisonous substance were given to groups of 25 mice and the following results were observed: (a) Find the equation of the least squares line fit to these data. (b) Estimate the number of deaths in a group ...With reference to Exercise 3.70 on page 100, use the results of parts (c) and (d) to find µX|1 and µY|0. With reference to Exercise 14.42, use the theory of Exercise 14.22 to construct a 95% confidence interval for a. In exercise Use the result of part(b) of exercise 14.20 to show that Is a value of a random variable having ...Post your question