In a Regression Analysis of a First-Order Model Involving 3

question 5

Multiple Choice

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. ​ = 12 - 18x₁ + 4x₂ + 15x₃
​
Also, the following standard errors and the sum of squares were obtained.
S_b1 = 3
S_b2 = 6
S_b3 = 7
SST = 4900
SSE = 1296
At the .01 level of significance, the coefficient of x₃

• A) is significant.
• B) is not found to be significant.
• C) cannot be tested, because not enough information is provided.
• D) should be estimated again, because it is incorrect in the above equation.

---

Definitions:

Level Of Significance

The probability of rejecting the null hypothesis in a statistical test when it is actually true, often denoted by alpha (α).

Quality Control

The process of ensuring that products and services meet specified standards and requirements, often through regular testing and inspections.

Bottling Plant

A facility where products, especially beverages, are put into bottles for distribution and sale.

Regent Diamond

A highly valuable 141-carat diamond that has a history of ownership among French royalty and is known for its flawless clarity and color.