An open label study (where participants are aware of the treatment they are taki

Question

An open label study (where participants are aware of the treatment they are taking) is run to assess the time to pain relief following treatment in patients with arthritis. The following linear regression equations are estimated relating time to pain relief measured in minutes (dependent variable) to participant's age (in years), gender (coded 1 for males and 0 for females) and severity of disease (a score ranging from 0 to 100 with higher scores indicative of more severe arthritis): Time to Pain Relief = -20.2 + 0.9 Age Time to Pain Relief = 11.8 + 16.3 Male Gender Time to Pain Relief = 3.2 + 0.6 Severity Time to Pain Relief = -15.8 + 0.50 Age + 7.9 Male Gender + 0.4 Severity a. What is the expected time to pain relief for a male following treatment? b. What is the expected time to pain relief for a participant aged 50 following treatment?

Explanation / Answer

Answer:

2a.

Time to pain relief = 11.8+16.3 male

For male ,

Expected Time to pain relief = 11.8+16.3

=28.1

b).

Time to pain relief = -20.2+0.9*Age

For age =50 ,

Expected Time to pain relief = -20.2+0.9*50

=24.8

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