Question

1. (Ch. 18 – Interaction Effects)  Below is Minitab output for a regression model using the Teen Gambling data from Chapter 18.   Use it to answer the questions below.

Regression Analysis: Gambling Amount ($) versus Sex, Status, Sex:Status, Income ($100)

Model Summary

      S    R-sq  R-sq(adj)  

21.7798  56.39%     52.24%      

Coefficients

Term          Coef  SE Coef  T-Value  P-Value  

Constant      30.1     16.7     1.80    0.079

Sex          -68.2     20.1    -3.40    0.002  

Status      -0.481    0.269    -1.79    0.081

Sex:Status   1.088    0.460     2.37    0.023

Income ($)   4.970    0.984     5.05    0.000

Regression Equation

Gambling Amount($) = 30.1 - 68.2 Sex - 0.481 Status + 1.088 Sex:Status + 4.970 Income

1. Interpret the slope of the Sex:Status (interaction) predictor for a female teenager. (Remember to account for the slope of Status.)
2. Interpret the slope of the Status predictor for a male teenager.

Answer 1