Solution Found!
Suppose you fit the multiple regression modely = ?0 + ?1x1
Chapter 12, Problem 3E(choose chapter or problem)
Problem 3E
Suppose you fit the multiple regression model
y = β0 + β1x1 + β2x2 + β3x3 + ε
to n = 30 data points and obtain the following result:
The estimated standard errors of are 1.86 and .29, respectively.
a. Test the null hypothesis H0: β2 = 0 against the alternative hypothesis Ha: β2 ≠ 0. Use a = .05.
b. Test the null hypothesis H0: β3 = 0 against the alternative hypothesis Ha: β3 ≠ 0. Use a = .05.
c. The null hypothesis H0: β2 = 0 is not rejected. In contrast, the null hypothesis H0: β3 = 0 is rejected. Explain how this can happen even though .
Questions & Answers
QUESTION:
Problem 3E
Suppose you fit the multiple regression model
y = β0 + β1x1 + β2x2 + β3x3 + ε
to n = 30 data points and obtain the following result:
The estimated standard errors of are 1.86 and .29, respectively.
a. Test the null hypothesis H0: β2 = 0 against the alternative hypothesis Ha: β2 ≠ 0. Use a = .05.
b. Test the null hypothesis H0: β3 = 0 against the alternative hypothesis Ha: β3 ≠ 0. Use a = .05.
c. The null hypothesis H0: β2 = 0 is not rejected. In contrast, the null hypothesis H0: β3 = 0 is rejected. Explain how this can happen even though .
ANSWER:
Step 1 of 8
The sample estimates of 
