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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.   Using Excel's regression,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 ln(PepsiSales)as explained by the estimated log-log model? Using Excel's regression,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.   Using Excel's regression,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 ln(PepsiSales)as explained by the estimated log-log model? What is the percentage of variations in ln(PepsiSales)as explained by the estimated log-log model?


Definitions:

Type II Error

The error that occurs when the null hypothesis is not rejected when it is actually false, also known as a "false negative".

Sample Size

The number of observations or units chosen from a population for the purpose of statistical analysis.

Lowering Alpha

Reducing the alpha level, or the threshold of significance, to decrease the probability of committing a type I error in hypothesis testing.

Type I Error

A statistical error occurring when a true null hypothesis is incorrectly rejected.

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