TABLE 15-1 A Certain Type of Rare Gem Serves as a Status

question 50

Multiple Choice

TABLE 15-1
A certain type of rare gem serves as a status symbol for many of its owners. In theory, for low prices, the demand increases and it decreases as the price of the gem increases. However, experts hypothesize that when the gem is valued at very high prices, the demand increases with price due to the status owners believe they gain in obtaining the gem. Thus, the model proposed to best explain the demand for the gem by its price is the quadratic model:
Y = β₀ + β₁X + β₁X² + ε
where Y = demand (in thousands) and X = retail price per carat.
This model was fit to data collected for a sample of 12 rare gems of this type. A portion of the computer analysis obtained from Microsoft Excel is shown below:
-Referring to Table 15-1, what is the p-value associated with the test statistic for testing whether there is an upward curvature in the response curve relating the demand (Y) and the price (X) ?

• A) 0.0001
• B) 0.0006
• C) 0.3647
• D) None of the above.

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Definitions:

Rods

Photoreceptor cells in the retina of the eye that are highly sensitive to light and enable vision in low-light conditions.

Cones

Photoreceptor cells in the retina of the eye that function best in bright light and are responsible for color vision and sharpness of vision.

Light Sensitivity

An increased susceptibility or responsiveness to light, which can cause discomfort or the need to squint or close the eyes in bright conditions.

Color Deficient

A condition characterized by difficulty in distinguishing between different colors, commonly referred to as color blindness.