Healthy bones are continually being renewed by two processes. Through bone formation, new bone is built; through bone resorption, old bone is removed. If one or both of these processes is disturbed, by disease, aging or space travel, for example, bone loss can be the result. The variables VOPLUS and VOMINUS measure bone formation and bone resorption, respectively. Osteocalcin (DC) is a biochemical marker for bone formation: higher levels of bone formation are associated with higher levels of DC. A blood sample is used to measure 0C, and it is much less expensive to obtain than direct measures of bone formation. The units are milligrams of OC per milliliter of blood {mg/mL). Similarly, tartrate resistant acid phosphatase (TRAP) is a biochemical marker for bone resorption that is also measured in blood. It is measured in units per liter {U!L). These variables were measured in a study of 31 healthy women aged 11 to 32 years. It is common to work with the logarithm of these variables.The goal of the study is to create a model that explains log(VOPLUS} using loglOC], logiTRAP], and log(VOM|NUS). x1 = log (06') x2 = log (TRAP) x3 = log (VOMINUS) = log (VOPLUS) 5_ _______________________ _. ___________________ 9 f._____um._91syar_s _____ _FRat|_ _______________ 0.559.155 5 7. 79193165 2. 597315 47. 96065 5t55 55555555955595 _____________________________ 5 0. 67319155 0. 64033 \"n 0.16355 599L995) ....................... 5.._.5, ...................................................................................................................... 5Iog(TRAP) 5 5 0.1569?2_ 5 0. 36055 0.117812 """' <.ddu1 what hypotheses are tested by the overall test in anova table>