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QUESTION 12 Below is some of the regression output from a regression of the amount various...

QUESTION 12

  1. Below is some of the regression output from a regression of the amount various customers paid for a new car (expressed in dollars) versus the age of the customer (expressed in years), the number of previous cars the customer had purchased from the dealership in the past, a dummy variable indicating the gender of the customer (=1 for a Man and = 0 for a woman), and an interactive term the multiplies the age of the customer with the gender dummy variable.

      

    Regression Statistics

    Multiple R

    0.963

    R Square

    Adjusted R Square

    Standard Error

    Observations

    20

    ANOVA

    df

    SS

    MS

    F

    Significance F

    Regression

    24686354.49

    6171589

    47.8

    2.3289E-08

    Residual

    129243

    Total

    26625000

    Coefficients

    Standard Error

    t Stat

    P-value

    Lower 95%

    Upper 95%

    Intercept

    6579.1

    352.1

    18.68

    0.000

    5828.5

    7329.6

    Age

    67.4

    37.9

    0.089

    -11.2

    # of Prev.

    -763

    295.3

    -2.73

    0.016

    -1435.0

    -176.2

    Man

    -589

    325.4

    0.051

    2.7

    Age*Man

    14.1

    8.8

    1.77

    0.097

    -3.2

    34.4

      

      
      
    Based on the regression output, what is predicted amount a customer who is a 42 year old male, has bought 1 previous car(s) from the dealership? (please express your answer using 1 decimal places)
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