1. For which state is the prediction made by the regression line (the Fit) farthest from...

1. For which state is the prediction made by the regression line (the Fit) farthest from the actual ATS? How far off is the prediction?

2. For which state is the prediction made by the regression line (the Fit) closest to the actual ATS? How far off is the prediction?

State	PPS	T/S Ratio	Avg. Salary	%Takers	Avg. Tot. Score
"Alabama"	4.405	17.2	31.144	10	1035
"Alaska"	8.963	17.6	47.951	48	939
"Arizona"	4.778	19.3	32.175	28	950
"Arkansas"	4.459	17.1	28.934	7	1010
"California"	4.992	24	41.078	46	908
"Colorado"	5.443	18.4	34.571	31	985
"Connecticut"	8.817	14.4	50.045	82	914
"Delaware"	7.03	16.6	39.076	70	902
"Florida"	5.718	19.1	32.588	50	895
"Georgia"	5.193	16.3	32.291	66	859
"Hawaii"	6.078	17.9	38.518	58	895
"Idaho"	4.21	19.1	29.783	16	984
"Illinois"	6.136	17.3	39.431	14	1054
"Indiana"	5.826	17.5	36.785	59	887
"Iowa"	5.483	15.8	31.511	7	1105
"Kansas"	5.817	15.1	34.652	11	1066
"Kentucky"	5.217	17	32.257	12	1005
"Louisiana"	4.761	16.8	26.461	10	1027
"Maine"	6.428	13.8	31.972	70	902
"Maryland"	7.245	17	40.661	65	915
"Massachusetts"	7.287	14.8	40.795	81	913
"Michigan"	6.994	20.1	41.895	13	1038
"Minnesota"	6	17.5	35.948	10	1091
"Mississippi"	4.08	17.5	26.818	5	1041
"Missouri"	5.383	15.5	31.189	10	1051
"Montana"	5.692	16.3	28.785	23	1014
"Nebraska"	5.935	14.5	30.922	10	1056
"Nevada"	5.16	18.7	34.836	31	922
"New Hampshire"	5.859	15.6	34.72	70	941
"New Jersey"	9.774	13.8	46.087	72	904
"New Mexico"	4.586	17.2	28.493	12	1021
"New York"	9.623	15.2	47.612	76	898
"North Carolina"	5.077	16.2	30.793	62	871
"North Dakota"	4.775	15.3	26.327	7	1113
"Ohio"	6.162	16.6	36.802	25	981
"Oklahoma"	4.845	15.5	28.172	11	1032
"Oregon"	6.436	19.9	38.555	53	953
"Pennsylvania"	7.109	17.1	44.51	72	885
"Rhode Island"	7.469	14.7	40.729	70	894
"South Carolina"	4.797	16.4	30.279	60	849
South Dakota"	4.775	14.4	25.994	6	1074
"Tennessee"	4.388	18.6	32.477	14	1045
"Texas"	5.222	15.7	31.223	50	899
"Utah"	3.656	24.3	29.082	6	1082
"Vermont"	6.75	13.8	35.406	70	907
"Virginia"	5.327	14.6	33.987	66	902
"Washington"	5.906	20.2	36.151	50	943
"West Virginia"	6.107	14.8	31.944	19	937
"Wisconsin"	6.93	15.9	37.746	10	1079
"Wyoming"	6.16	14.9	31.285	12	1006

Expert Solution

Using Excel, go to Data, select Data Analysis, choose Regression. Put values of PPS, T/S Ratio, Avg. Salary and % Takers in X input range and Avg. Tot. Score in Y input range. Tick Residuals.

Actual ATS	Predicted	Residuals	Absolute Residuals
Alabama	1034.480352	0.519648	0.519647667
Alaska	971.6382515	-32.6383	32.6382515
Arizona	978.6665514	-28.6666	28.66655141
Arkansas	1040.775897	-30.7759	30.77589721
California	924.0755056	-16.0755	16.07550557
Colorado	980.0362431	4.963757	4.963756854
Connecticut	885.791709	28.20829	28.20829097
Delaware	888.0201683	13.97983	13.97983168
Florida	921.3222828	-26.3223	26.32228279
Georgia	880.9507192	-21.9507	21.95071917
Hawaii	912.3583919	-17.3584	17.35839188
Idaho	1007.68232	-23.6823	23.68231961
Illinois	1043.704201	10.2958	10.29579922
Indiana	906.9933144	-19.9933	19.99331437
Iowa	1054.469267	50.53073	50.53073328
Kansas	1051.432433	14.56757	14.56756681
Kentucky	1035.446493	-30.4465	30.44649304
Louisiana	1031.356251	-4.35625	4.356251289
Maine	884.2589979	17.741	17.74100206
Maryland	904.5853131	10.41469	10.41468687
Massachusetts	865.9714617	47.02854	47.02853831
Michigan	1045.394072	-7.39407	7.394072142
Minnesota	1049.065533	41.93447	41.93446708
Mississippi	1040.18137	0.81863	0.818630494
Missouri	1045.764487	5.235513	5.235512916
Montana	1003.741231	10.25877	10.25876948
Nebraska	1051.865841	4.134159	4.134158559
Nevada	977.8020335	-55.802	55.80203348
New Hampshire	878.7944768	62.20552	62.20552322
New Jersey	916.7497368	-12.7497	12.74973677
New Mexico	1026.027197	-5.0272	5.02719736
New York	901.6783559	-3.67836	3.678355935
North Carolina	890.1785627	-19.1786	19.17856266
North Dakota	1045.014418	67.98558	67.98558232
Ohio	1010.642305	-29.6423	29.64230484
Oklahoma	1035.670734	-3.67073	3.670734004
Oregon	922.1949589	30.80504	30.80504108
Pennsylvania	888.4818335	-3.48183	3.481833482
Rhode Island	899.1734525	-5.17345	5.173452474
South Carolina	893.0279083	-44.0279	44.02790833
South Dakota"	1050.490594	23.50941	23.50940585
Tennessee	1019.896189	25.10381	25.10381096
Texas	928.1094027	-29.1094	29.10940266
Utah	1015.107788	66.89221	66.8922119
Vermont	890.8128559	16.18714	16.18714406
Virginia	889.7764846	12.22352	12.22351536
Washington	923.594546	19.40545	19.40545396
West Virginia	1027.105165	-90.1052	90.10516541
Wisconsin	1062.16557	16.83443	16.83442954
Wyoming	1046.476773	-40.4768	40.47677309

1. Prediction for West Virginia is the farthest from Actual ATS.

Value = -90.1052

2. Prediction for Alabama is the closest to Actual ATS.

Value = 0.5196

orchestra answered 1 year ago

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