12. The following six students were questioned regarding (X) their attitudes toward the legal- ization of prostitution and (Y) their attitudes toward the legalization of marijuana. Compute a Pearson's correlation coefficient for these data and determine whether the correlation is significant. Student X Y A 1 2 B 65 C 4 3 D 3 3 E 2 1 F 4 7
374 Pun TV From Des Making Ac X e H -5 50 H 7 53 47 -I 35 60 M 55 P 60 2x=42 27-730 21 1 L 55,- 133 M 55, The formals for Peace's colacion is follows SP 2(x-X)(x-P) V2KX-1727-1 Vs5,55, 100 V(132)(202) 100 V26,664 100 V1633 +61 Therefore, Pearson's correlation indicates, as suggested by the scenter plot, that height and weight are fairly strongly comeland in the positive direction A Computational Formula for Pearson's r Computing Pearse's from deviations helps relate the topic of correlation to our car discussion However, the pervious formula for Pearson's requires lengthy and time-co ming calculations Fortunately, there is an alternative formula for Pearson's r that works directly with raw sees, thereby eliminating the send to obain deviations for the X and Y variables Similar to the computational formalas for variance and standard deviation Chapter 4, there are re-score formalas for SP. 55 and 55 SP-EXY-NXY 55,-EX-NE 55,-21-N Ost 315 Using these expression is cor formals for Pear's contain when the lin computational formals for VIXX-XX-NTI To thee of Pear's computational formula, cider da on the unter of yean of school completed by the father of school compared by the child (n) To apply our formala, we mud c and Y's calestate the meas) and of XX and the use of your x Y X² 1² 144 144 300 N-I 21-4 73 176 XY-N EX M X- 80 10.5 N * ET N TH -113 N 2x¹=946 -1.300 xx-91 12 XI COSMED 10 16 N 9 12 . 12 11 10 RE=***BE M 256 64 ******** 144 123 900 N 16 15 The Prance's conelation is the equal to 2AY-ART V(EX MX2¹-M³) 981-8(10.5)(115) V946-(105)1318-R1159|| 981-966 V(946-882)(1318-1058) 15 V(64)(60) 15 V3,340 15 61.97 +24 71 250 225 192 163 MI
12. The following six students were questioned regarding (X) their attitudes toward the legal- ization of prostitution a
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12. The following six students were questioned regarding (X) their attitudes toward the legal- ization of prostitution a
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