An Observer Views Two Complex Scenes: Scene One Is Illuminated

question 21

Essay

An observer views two complex scenes: Scene one is illuminated by a blue light,and scene two is illuminated by a yellow light.As a result,a yellow surface in the first scene and a blue surface in the second scene each now have identical flat spectral power distributions of reflected light.
(A)What is the perceived color of each surface described within each scene? (B)If each scene is covered up so that only the blue or yellow surface is visible,how does the perceived color change?

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Definitions:

Sample Covariance

A measure of the degree to which two variables change together for a sample of a population, indicating their linear relationship.

Cov (x,y)

Represents the covariance between two variables \(x\) and \(y\), measuring how changes in one variable are associated with changes in another.

Covariance

A statistical measure that indicates the extent to which two variables change together; if the greater values of one variable mainly correspond with the greater values of the other variable, and the same holds for the lesser values, the covariance is positive.

Slope

A measure of the steepness or incline of a line, representing the ratio of the change in the y-value to the change in the x-value.