Question

Brand	Quality Rating	Satisfaction Rating
Acura	86	822
Audi	111	832
BMW	113	845
Buick	114	807
Cadillac	111	818
Chevrolet	111	789
Chrysler	122	748
Dodge	130	751
Ford	93	794
GMC	126	792
Honda	95	766
Hyundai	102	760
Infiniti	107	805
Jaguar	130	854
Jeep	129	727
Kia	126	761
Land Rover	170	831
Lexus	88	822
Lincoln	106	820
Mazda	114	774
Mercedes-Benz	87	837
Mercury	113	769
Mini Cooper	133	815
Mitsubishi	146	767
Nissan	111	763
Porsche	83	882
Ram	110	780
Scion	114	764
Subaru	121	755
Suzuki	122	750
Toyota	117	750
Volkswagen	135	797
Volvo	109	795

Each year a market research company surveys new car owners 90 days after they purchase their cars. This data is used to rate auto brands (such as Toyota and Ford) on quality and customer satisfaction. Suppose the following were the quality rating and satisfaction scores for all 33 brands sold in the United States.

A)

Compute the value of the correlation coefficient. (Round your answer to three decimal places.)

r =  

Answer A!...

Answer 1

X	Y	xy	x2	y2
86	822	70692	7396	675684
111	832	92352	12321	692224
113	845	95485	12769	714025
114	807	91998	12996	651249
111	818	90798	12321	669124
111	789	87579	12321	622521
122	748	91256	14884	559504
130	751	97630	16900	564001
93	794	73842	8649	630436
126	792	99792	15876	627264
95	766	72770	9025	586756
102	760	77520	10404	577600
107	805	86135	11449	648025
130	854	111020	16900	729316
129	727	93783	16641	528529
126	761	95886	15876	579121
170	831	141270	28900	690561
88	822	72336	7744	675684
106	820	86920	11236	672400
114	774	88236	12996	599076
87	837	72819	7569	700569
113	769	86897	12769	591361
133	815	108395	17689	664225
146	767	111982	21316	588289
111	763	84693	12321	582169
83	882	73206	6889	777924
110	780	85800	12100	608400
114	764	87096	12996	583696
121	755	91355	14641	570025
122	750	91500	14884	562500
117	750	87750	13689	562500
135	797	107595	18225	635209
109	795	86655	11881	632025
∑Xi=3785	∑Yi=26142	∑xiyi=2993043	∑xi^2=444573	∑Yi^2=20751992