Multiple Regression Analysis Was Used to Study the Relationship Between $\beta$

question 73

Essay

Multiple regression analysis was used to study the relationship between a dependent variable, y, and three independent variables x₁, x₂ and, x₃. The following is a partial result of the regression analysis involving 20 observations.
a.Compute the coefficient of determination.
b.Perform a t test and determine whether or not $\beta$ ₁ is significantly different from zero ( $\alpha$ = 0.05).
c.Perform a t test and determine whether or not $\beta$ ₂ is significantly different from zero ( $\alpha$ = 0.05).
d.Perform a t test and determine whether or not $\beta$ ₃ is significantly different from zero ( $\alpha$ = 0.05).
e.At $\alpha$ = 0.05, perform an F test and determine whether or not the regression model is significant.

---

Definitions:

English Auction

An auction format where the price increases incrementally with each new bid, and the item is sold to the highest bidder at the close of bidding.

Expected Revenue

Expected revenue is the amount of money a business anticipates earning over a specific period, based on forecasted sales volumes and prices.

Rationally

Making choices that are consistent and in line with one's self-interest, guided by the use of reason and available information.

Sealed-Bid

A type of auction or tender where bidders submit confidential offers, and usually, the highest bid wins without the bids being disclosed to other participants.