The Owners of an Online Shop Use a Multiple Regression

question 19

Multiple Choice

The owners of an online shop use a multiple regression model with three independent variables where ​ y = Shipping Cost ($) ​ x₁ = Product weight (kg) ​ x₂ = Number of items ​ x₃ = Total amount ($) ​ The regression model is ​ y = 8.50 + 12x₁ + 0.1x₂ + 0.05x₃ + 0.08x₂x₃ + e ​ Interpret the value of β₁ for this model. ​

• A) The average change in shipping costs associated with an increase in the number of items by 1 when the product weight and the total amount are held fixed.
• B) The average change in shipping costs associated with a 1-dollar increase in the total amount when the product weight and the number of items are held fixed.
• C) The difference between the slopes of regression lines depending on the total amount and the number of items.
• D) The average change in shipping costs associated with a 1-kg increase in product weight when the number of items and the total amount are held fixed.
• E) The average change in shipping costs when the perceived increase value of the number of items by 1 unit depends on the change of the total amount.

---

Definitions:

Ballots

Physical or electronic means by which voters cast their votes in an election, often containing choices for candidates and proposals.

Candidates

Individuals who seek to be elected or appointed to a public office or position within an organization, typically representing a political party or a specific agenda.

Voting Rights Act

A landmark piece of federal legislation in the United States that prohibits racial discrimination in voting enacted in 1965.

Discriminated

Treated differently or unfairly based on characteristics like race, gender, or religion.