Question

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[14pts) Five subjects participate in an experiment to examine the efficacy of a drug based off of the percentage of active compound. The drug is administered to the patients and then the duration of a physical response is recorded. The results are shown below.(Some sample statistics: se = .605, r = 903) Response Duration vs Compound Percentage Subject Percent x of active compound Response Duration y minutes 1 1 2 3 4 2 3 2 2 4 5 5 2 (a) Sketch a scatter plot of the data. Does a linear relationship seem reasonable? (b) Determine the regression equation. (e) What is our best estimate of the reaction time for a subject given 3.5 percent of the drug in their bloodstream. (d) Create a 95% prediction interval for reaction time given a subject with 3.5 percent of the drug in their bloodstream. (e) What percentage of the variation in y response is accounted for in our model?

Answer 1

$_1 Response burrction vs compound tertentage subject Pencent x of Active compared Response Duration y minutes 2 2 4 5 4 5 sketch a scotter plot of the Bota? pore pusotion Kinets + Percent e of Actre compound som the bove scottesttot there is opproximately linear Rektionship seems. b) Determine Regression + E where Response predicotor is intercept is slope of line

of obsessed s estimated de know that J ßi sax E Z (x-x) for the given dota Percent of x of active compared y : Response Derootion J minutes co - x ایرانی (ع) (F) Lebow si کے 도 - - 2 we have Noo to fiore say & sax (x - 2) Gle (x - Gi-) (x1 - x) cylate b - 1 4 q 7 szy = 7 & sar = 10

= 0.7 a L-o-z = E.Loo z = 1-2 z po tax I--0.1t.o-7x -o-1 to.72 ve find Best est mot for that regression I = .0.1 to.72 - -0.1 +0.7 x(3.5) 2-35 y = 2-35 minutes. 2 minutes, is our best estronte of the Reaction time for a subject. grros 3-5 percent of the doing los. their bloodstream. Percentage of Golotton 7 Tot syy

accounted for the model- د اسلامی اس F دکان اور - ه - د 12 Leobra ISHL-L - 22 2- پیارا را 7 الدا2 علی