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

question 94

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.

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Definitions:

Light Microscope

An instrument that uses visible light and a system of lenses to magnify small objects.

Complex Carbohydrate

Carbohydrates composed of sugar molecules linked together in long, complex chains, often found in foods like grains, vegetables, and fruits.

Chloroplast

An organelle found in plant and algal cells that conducts photosynthesis, converting light energy into chemical energy stored in glucose.

Endomembrane System

Multifunctional network of membrane-enclosed organelles (endoplasmic reticulum, Golgi bodies, vesicles).