Question

Question 1 14 pts (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 2 3 3 2 4 2 5 5 4 1 4 (a) Sketch a scatter plot of the data. Does a linear relationship seem reasonable? (b) Determine the regression equation. (c) 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? Upload Choose a File

Answer 1

Scatter plot 4.5 4 in w 3 2.5 response duration y minute N 1.5 1 0.5 0 0 1 5 6 2 3 4 percent x of active compound

Date one (EX) (4) Sdution- Yes, a linear relationship seem reasonable. There exist positive relationship between both variables. If variable increases other will. also increases and vice versa. b) regression eq. is have, Ex - 15) ET = 10, Ex?: 55 Ey² = 26. EXT 37 b = saa di baba Droi where, Sxy= EXY = atby we (15) (10) 37 Say 7 Saxa Ey? EX) 2 (15) SS 5 Sxx-

lenicabra to b 07 Now, 7 - b where; 9 = ZI n S 2. ix 11 n an 3 20.7 (3) a ~0.1 regression eg. is given by 9 - 0.72-01

c) estimate of reaktion time given a subject with 3.5 percent drug in their bloodstream is, ŷ = 0.7% -0,1 0.7(3:5)-0.] 2.35 e percentage of variation in y responce. ie. SSR SST where. SSR 5. Say 0 0.7.(7) SSR 9.9 2. SST 27 - n 6 R? 4.9/6 0.8167 is .ie. 8 1.67% of variation in y-responce for our model accounted