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26 July, 04:33

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line: Profit = 372.6 + 17.2 (advertising dollars) What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

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  1. 26 July, 04:39
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    Answer: The value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500 is $417

    Profit=372.6+17.2 (advertising dollars)

    Advertising dollars=$1,020

    Predicted Profit=372.6+17.2 (1,020) →

    Predicted Profit=372.6+17,544→

    Predicted Profit=$17,916.6

    Residual=Predicted Profit-Profit→

    Residual=$17,916.6-$17,500→

    Residual=$416.6

    Rounded to the nearest integer:

    Residual=$417

    Answer: The value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500 is $417
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