One Rebel Scientist shows you this output from a multiple linear regression. She investigated how age affects the levels of midi-chlorian in the blood. She suspected potential effect modification by gender with respect to the outcome, and therefore appropriately included an interaction term (inter) in her model. The interaction term was constructed by multiplying the agevariable by the Femalevariable (0 = male; 1 = female).

a) Write the complete regression equation for the model provided below.

b) Write separate regression equations for men and women.

c) In one sentence, using no numbers (i.e., in simple English), provide an interpretation of the statistically significant effect modifier with respect to the variables under study.

d) The Rebel Scientist tells you that based on this output, female Humans have midi-chlorian counts that are 40 units higher than males after adjusting for age. In one sentence, what would you say about this interpretation of her results?

Coef. Std. Err. t P> It| [95% Conf. Interval] age 3. 068022 . 7854846 3. 91 0. 000 1 . 527086 4 . 608959 Female 39 . 87253 45. 19317 0 . 88 0. 378 -48 . 78587 128 . 5309 Inter 4 . 23623 1. 07832 3.93 0. 000 2. 12082 6. 35164 cons 129. 0651 30. 95723 4.17 0. 000 68 .33424 189. 7959