Question

A researcher measures the relationship between sleep medication use (times used per week) and time spent working (in hours per week). Answer the following questions based on the results provided. Sleep Medication Use Time Spent Working 18 Part(a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places Part (b) Multiply each measurement of drug use times and recalculate the correlation coefficient. (Round your answer to three decimal places.) Part (0) Divide each measurement in hat for time spent working and recalculate the correlation coefficient (Round your answer to three decimal Part (d) e X or does not change the correlation coefficient. Note Use True or se Multiplying or dividing a positive constant to one set of so your answers in (a) to (o) to answer true orta False Additional Materials
A reseearcher measures the relationship between sleep medication use and time spent working. andwe the following wuestioms based on the results provided.

9 18

5 38

7 19

3 29

Answer 1

Sau: suppose: x dinote the sleep medication use y denote the Time spent working Then: -12 Xiyi, xing Yint 16x1=K9L41-7316 -8)1(4-9) 2 9 18 3 8 [-24 64 5 | 38 -1 | 12 144 21 19 1 -7 1-7 49 999 T20 ( 266 *= IX = 24 = 6, 9 - X = 106 = 26 Sxy = (Xi-8 Jlyi-) = -52 Sxy = I1Xi-8)2 = 20, Syy = I (41-9)3 266. 2107 --on w 241 lob = =-52 Then: © Pearson- correla coeff between X and Y is Joxy = Sxy - 52 - 52 Js xx. Syy 20X266 +2.93033 roxy = -0.7129. roppo rxy = – 0.713 (6 штиціPlу bу з ох.. 1. Then new f'= 3X= 3x6 =18 now. Sxy = I (3X1°-38)?g. (a)? 3. Sxx [ sxx = 9:x20] and sxy = 30.-89141-9) = 3 13XP-377441-4)= 35xy Ics Scanne ol with =3(-52) = -3852 CamScanner

1. Then corneln coeff betwen New x and yio Ту с Sч Nsxx Syy... qx 20%286 3877.93833 [xy = -0.713 = xxy. there is no change. == - 3x52 52- BX52 Ans. © If we multiply by Ž to y then. New.it"- Į = 26 = 13 New syny = {(11 I) ² syy = 44X266 New.sxy = (xi-D)(y-7)= { Sxy = - 52 Then correin coeff. between X and Mew Y. ryy = Sxy 52 -5214 J 20266 4x4 207266 2 Sxx Syu -0.7135 there is no change I Dus . If we multiply or devide by a tue constant to xory then there is no change in sxy. This statesment is true es). Scanner with CamScanner