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It Is Believed That the Sales Volume of One-Liter Pepsi

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It is believed that the sales volume of one-liter Pepsi bottles depends on the price of the bottle and the price of a one-liter bottle of Coca-Cola. The following data have been collected for a certain sales region. It is believed that the sales volume of one-liter Pepsi bottles depends on the price of the bottle and the price of a one-liter bottle of Coca-Cola. The following data have been collected for a certain sales region.   The linear model Pepsi Sales = β<sub>0</sub> + β<sub>1</sub>Pepsi Price + β<sub>2</sub>Cola Price + ε and the log-log model ln(Pepsi Sales) = β<sub>0</sub> + β<sub>1</sub>ln(Pepsi Price) + β<sub>2</sub>ln(Cola Price) + ε have been estimated as follows:   What is the percentage of variations in the log of the Pepsi sales explained by the log-log model? The linear model Pepsi Sales = β0 + β1Pepsi Price + β2Cola Price + ε and the log-log model ln(Pepsi Sales) = β0 + β1ln(Pepsi Price) + β2ln(Cola Price) + ε have been estimated as follows: It is believed that the sales volume of one-liter Pepsi bottles depends on the price of the bottle and the price of a one-liter bottle of Coca-Cola. The following data have been collected for a certain sales region.   The linear model Pepsi Sales = β<sub>0</sub> + β<sub>1</sub>Pepsi Price + β<sub>2</sub>Cola Price + ε and the log-log model ln(Pepsi Sales) = β<sub>0</sub> + β<sub>1</sub>ln(Pepsi Price) + β<sub>2</sub>ln(Cola Price) + ε have been estimated as follows:   What is the percentage of variations in the log of the Pepsi sales explained by the log-log model? What is the percentage of variations in the log of the Pepsi sales explained by the log-log model?


Definitions:

Diminishing Returns

A principle stating that as more investment is made in a particular resource, the marginal gain in output will eventually decrease.

Fixed Factor

Inputs in production that cannot be easily increased or decreased in the short term, such as buildings and land.

Marginal Cost

The cost associated with producing an additional unit of output, significant in decision-making processes related to production levels.

Market Price

The current price at which an asset or service can be bought or sold, determined by supply and demand in the marketplace.

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