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

question 3

Essay

Multiple regression analysis was used to study the relationship between a dependent variable, Y, and four independent variables; X₁, X₂, X₃ and, X₄. The following is a partial result of the regression analysis involving 31 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 $\beta$ ₄is significantly different from zero ( $\alpha$ = 0.05).
d.At $\alpha$ = 0.05, perform an F test and determine whether or not the regression model is significant.

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Definitions:

Renewable Resources

Natural resources that can be replenished naturally over time, such as sunlight, wind, and biomass.

True Cost

The real cost of production, considering all direct and indirect expenses, as well as opportunity costs.

Occupational Stress

The stress experienced as a result of job demands and pressures that do not match a person's knowledge, skills, or abilities and challenge their ability to cope.

Stress

The body's response to perceived threats or challenges, which can be physical, emotional, or psychological in nature.