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In order to analyze sales as a function of advertising expenses, the sales manager developed a simple regression model. The model included the following equation, which was based on 32 monthly observations of sales and advertising expenses with a related coefficient of determination of .90.Sales = $10,000 + (2.5 × Advertising expenses)If the advertising expenses in 1 month amounted to $1,000, the related point estimate of sales would be

Question

In order to analyze sales as a function of advertising expenses, the sales manager developed a simple regression model. The model included the following equation, which was based on 32 monthly observations of sales and advertising expenses with a related coefficient of determination of .90.Sales = 10,000+(2.5×Advertisingexpenses)Iftheadvertisingexpensesin1 monthamountedto10,000 + (2.5 × Advertising expenses)If the advertising expenses in 1 month amounted to 1,000, the related point estimate of sales would be

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Solution

To calculate the point estimate of sales, we need to substitute the given advertising expenses into the equation provided.

The equation is: Sales = $10,000 + (2.5 × Advertising expenses)

Given that the advertising expenses for the month is $1,000, we substitute this value into the equation:

Sales = 10,000+(2.5×10,000 + (2.5 × 1,000)

This simplifies to:

Sales = 10,000+10,000 + 2,500

So, the point estimate of sales for the month would be $12,500.

This problem has been solved

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