Suppose that the Rebel Scientists further adjusted their simple model from the previous question (i.e., the model in Question 3 above assessing the association between serum Fermium and midi-chlorian counts) for age, gender, and family history of Force-sensitivity (0 = no; 1 = yes).

a) Write the full multivariable regression model

b) b) They found that the coefficient for "family history" was 10.26 (95% confidence interval: 7.13 to 13.38, p = 0.0003). Interpret the slope and define the p-value and 95%CI.

c) c) The R² for the new multivariable model is 0.57. In no more than two sentences: 1) interpret this statistic; and 2) comment on the difference from the R² of 0.17 that was reported for the simple model.

d)d) Imagine that you asked the Scientists why they decided to focus on Fermium, and the team replied that they simply tested every element from the periodic table to see what was related to midi-chlorian counts. In no more than two sentences, tell me: 1) what statistical topic would immediately come to your mind; and 2) what would you say to the Rebel Scientists?

c