More on predicting bone formation. Now consider a regression model for predicting VO+

using OC, TRAP, and VO−.

(a) Write out the statistical model for this analysis including all assumptions.

(b) Run the multiple regression to predict VO+

using OC, TRAP, and VO−. Summarize the results.

(c) Make a table giving the estimated regression coefficients, standard errors, and t statistics with P-values for this analysis and the two that you ran in the previous exercise. Describe how the coefficients and the P-values differ for the three analyses.

(d) Give the percent of variation in VO+ explained by each of the three models and the estimate of σ.
Give a short summary.

(e) The results you found in part

(b) suggest another model. Run that model, summarize the results, and compare them with the results in (b).