Question

Please show all work and provide explanation for the following:

(i) You, have two sets of data注刈MTOV want to id out the relationship diiedl hon of tese vauiables. X is a sample of SLoves on a tesl (per student out of loo) and Y i6 the line ㅓhi Same Sudent spent Studying Gn m'nules). Round your answer ta' two a as after each calculation 1.1JEnd 扌he median, mode, and range. 4 oeach data se 貂 (a) Fnd the coefficient of correlation 8e 47 of these two data sels ㅓken interpret fo his number 78 44 33 4 3Plet dkese poinis on a scatter 90 48 diaaram 3S 47 38 ② Four candidates , are, running for mayor, Adam Brown, Collins, and Dalton assuming hay all haue an equal chance of election mne sample space what if we imd out the probabliies of eledion are assigned respective厶: a relatile frequency 9abei answer ㅔe follouing lna is the pcbabiy that Adams loses? that Brown wins?

Answer 1

x	y	x^2	y^2	xy
77	40	5929	1600	3080
63	42	3969	1764	2646
79	37	6241	1369	2923
86	47	7396	2209	4042
51	25	2601	625	1275
78	44	6084	1936	3432
83	41	6889	1681	3403
90	48	8100	2304	4320
65	35	4225	1225	2275
47	28	2209	784	1316
Ex	Ey	Ex^2	Ey^2	Exy
719	387	53643	15497	28712

Mean=Ex/n

Mean (x)=719/10=71.9

Mean (y)=387/10=38.7

Median=(n+1)/2 nd value

Median(x)=77.5

Median(y)=40.5

Mode=Most frequently repeated value

Mode(x)=N/A

Mode(y)= N/A

correlation: -

n(Exy)-(Ex)(Ey)/nEx^2-(Ex)^2* nEy^2-(Ey)^2

10*28712-(719)(387)/ 10*53643-(719)^2* 10*15497-(387)^2

0.88

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