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

question 12

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, does there appear to be significant upward curvature in the response curve relating the demand (Y) and the price (X) at 10% level of significance?

• A) Yes, since the p-value for the test is less than 0.10.
• B) No, since the value of β is near 0.
• C) No, since the p-value for the test is greater than 0.10.
• D) Yes, since the value of β is positive.

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Definitions:

Consolidated Inventory

The total value of all inventories held by a parent company and its subsidiaries, accounted for in a consolidated financial statement.

Unrealized Inventory Profits

Profits that are reported on paper through an increase in inventory value but have not yet been realized through sales.

Significant Influence

Significant Influence is the ability of an investor to affect the financial or operating policy decisions of the investee through ownership, contracts, or other means, short of full control or joint control.

Goodwill

An intangible asset that arises when a company acquires another company for more than the fair value of its net identifiable assets at the purchase date.