A Regression Was Performed on a Sample of 16 Observations $\beta$

question 74

Essay

A regression was performed on a sample of 16 observations.The estimated equation is
.The standard errors for the coefficients are S_b1 = 4.2,S_b2 = 5.6,and S_b3 = 2.8.For this model,SST = 3809.6 and SSR = 3285.4.
a.Compute the appropriate t ratios.
b.Test for the significance of $\beta$ ₁, $\beta$ ₂ and $\beta$ ₃at the 5% level of significance.
c.Do you think that any of the variables should be dropped from the model? Explain.
d.Compute R² and R_a².Interpret R².
e.Test the significance of the relationship among the variables at the 5% level of significance.

---

Definitions:

Mangrove Forests

Coastal ecosystems characterized by mangrove trees, which are uniquely adapted to thrive in salty and brackish waters.

Large Amounts

Refers to quantities that are considerably above the average or expected size, number, or degree.

Highly Efficient

Describes a system or process that achieves maximum productivity with minimum wasted effort or expense.

Large Net

Typically refers to a substantial netting tool or system used for various purposes, including fishing, sports, or as a safety device.