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 = 1,000, the related point estimate of sales would be
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 = 1,000)
This simplifies to:
Sales = 2,500
So, the point estimate of sales for the month would be $12,500.
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