A Regression Model Involving 3 Independent Variables for a Sample $\alpha$

question 82

Essay

A regression model involving 3 independent variables for a sample of 20 periods resulted in the following sum of squares.

a.Compute the coefficient of determination and fully explain its meaning.
b.At $\alpha$ = 0.05 level of significance,test to determine whether or not there is a significant relationship between the independent variables and the dependent variable.

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Definitions:

Brightness Contrast

The difference in light intensity which makes an object distinguishable from others or from its background.

Mach Bands

An optical illusion in which the contrast between edges where two different shades meet appears exaggerated.

Brightness Contrast

The difference in brightness between objects or parts of objects, which influences the perception of their visual appearance.

Lateral Inhibition

A process in the nervous system where an excited neuron reduces the activity of its neighbors, sharpening sensory perception.