Assignment:
Thirty-nine MBA students were asked about happiness and how this related to their income and social life. The data are found in happy.
(a) Fit a regression model with happy as the response and the other four variables as predictors. Give an interpretation for the meaning of the love coefficient.
(b) The love predictor takes three possible values but mostly takes the value 2 or 3. Create a new predictor called clove which takes the value zero if love is 2 or less. Use this new predictor to replace love in the regression model and interpret the meaning of the corresponding coefficient. Do the results differ much from the previous model?
(c) Fit a model with only clove as a predictor and interpret the coefficient. How do the results compare to the previous outcome.
(d) Make a plot of happy on work, distinguishing the value clove by using a plotting symbol. Use jittering to distinguish over plotted points.
(e) Use the command xtabs( ∼ clove + work, happy) to produce a cross tabulation. If we wanted to match pairs on clove with the same value of work, what is the maximum number of 1 to 1 matches we could achieve?
(f) For each value of work, compute the mean difference in happy for the two levels of clove. Compute an average of these differences. Which coefficient computed earlier would be the most appropriate comparison for this average?
Your answer must be typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format and also include references.