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

question 43

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.

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Definitions:

Earn

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Interest Rate

The percentage of the principal amount charged by a lender to a borrower for the use of assets, typically expressed as an annual percentage rate (APR).

Equivalent

Equal in value, amount, function, meaning, etc., to something else.

Preceding January

The January that occurred immediately before the current date or specified event.