sellpricelistpriceLIVINGAREAROOMSBEDRMSBATHRMSAGEACRESTAXES710.00800281053600.283167875.0090018841120.434033645.0066013631410.331471690.0070017731220.4632041160.0012002584352.053613675.007001874390.573028750.0080020843184.0031311035.00112522842162.2251581355.001425301052300.535702445.0045010531430.302054765.0078522833180.384127432.5045016731500.6514451170.0011902584221.612087527.5058020841130.222818875.0090022842152.063917825.0085017842330.462220830.0085023942370.273498680.0070019731220.633607740.0080017732130.363648755.0076519842240.343561900.0095024942101.5546811465.0015252684360.467088835.0085020942460.463482950.0096522952370.483920920.0095021952271.304162785.008252084270.303785550.0057516841260.293103675.0072518741350.4333632835.00312564114340.8512192900.0092520842111.003831915.0094017732163.003564925.0096520932566.493765760.0077517841330.703361740.0076513632220.393950760.0079515731250.593055730.0075016731310.362950850.00950241032330.573346635.0065020841650.4033341325.001350361063331.205853785.0081518842121.133982640.0067517941250.523374550.0060015842110.593119615.0065018842430.3932681060.0011503912532024.293648725.0072518842440.222783645.0067510631151.002438715.0072521742101.2035291235.0012602994241.254626555.0060015831971.113205665.0072526731420.363059Base on the given data given, change the variable sale price into two categories: above the mean price or not; and change the living area into two categories: above the median living area or not ( your two groups should have close number of houses in each group). Using the resulting variables, will you conclude that larger house corresponding to higher price?Note: Need computer output, Ho and Ha, P and decision. If p is small, you need to explain what type of dependency (association) we have using an appropriate pair of percentages.

Answered: Base on the given data given, change…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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sellprice	listprice	LIVINGAREA	ROOMS	BEDRMS	BATHRMS	AGE	ACRES	TAXES
710.00	800	28	10	5	3	60	0.28	3167
875.00	900	18	8	4	1	12	0.43	4033
645.00	660	13	6	3	1	41	0.33	1471
690.00	700	17	7	3	1	22	0.46	3204
1160.00	1200	25	8	4	3	5	2.05	3613
675.00	700	18	7	4	3	9	0.57	3028
750.00	800	20	8	4	3	18	4.00	3131
1035.00	1125	22	8	4	2	16	2.22	5158
1355.00	1425	30	10	5	2	30	0.53	5702
445.00	450	10	5	3	1	43	0.30	2054
765.00	785	22	8	3	3	18	0.38	4127
432.50	450	16	7	3	1	50	0.65	1445
1170.00	1190	25	8	4	2	2	1.61	2087
527.50	580	20	8	4	1	13	0.22	2818
875.00	900	22	8	4	2	15	2.06	3917
825.00	850	17	8	4	2	33	0.46	2220
830.00	850	23	9	4	2	37	0.27	3498
680.00	700	19	7	3	1	22	0.63	3607
740.00	800	17	7	3	2	13	0.36	3648
755.00	765	19	8	4	2	24	0.34	3561
900.00	950	24	9	4	2	10	1.55	4681
1465.00	1525	26	8	4	3	6	0.46	7088
835.00	850	20	9	4	2	46	0.46	3482
950.00	965	22	9	5	2	37	0.48	3920
920.00	950	21	9	5	2	27	1.30	4162
785.00	825	20	8	4	2	7	0.30	3785
550.00	575	16	8	4	1	26	0.29	3103
675.00	725	18	7	4	1	35	0.43	3363
2835.00	3125	64	11	4	3	4	0.85	12192
900.00	925	20	8	4	2	11	1.00	3831
915.00	940	17	7	3	2	16	3.00	3564
925.00	965	20	9	3	2	56	6.49	3765
760.00	775	17	8	4	1	33	0.70	3361
740.00	765	13	6	3	2	22	0.39	3950
760.00	795	15	7	3	1	25	0.59	3055
730.00	750	16	7	3	1	31	0.36	2950
850.00	950	24	10	3	2	33	0.57	3346
635.00	650	20	8	4	1	65	0.40	3334
1325.00	1350	36	10	6	3	33	1.20	5853
785.00	815	18	8	4	2	12	1.13	3982
640.00	675	17	9	4	1	25	0.52	3374
550.00	600	15	8	4	2	11	0.59	3119
615.00	650	18	8	4	2	43	0.39	3268
1060.00	1150	39	12	5	3	202	4.29	3648
725.00	725	18	8	4	2	44	0.22	2783
645.00	675	10	6	3	1	15	1.00	2438
715.00	725	21	7	4	2	10	1.20	3529
1235.00	1260	29	9	4	2	4	1.25	4626
555.00	600	15	8	3	1	97	1.11	3205
665.00	725	26	7	3	1	42	0.36	3059

Base on the given data given, change the variable sale price into two categories: above the mean price or not; and change the living area into two categories: above the median living area or not ( your two groups should have close number of houses in each group). Using the resulting variables, will you conclude that larger house corresponding to higher price?

Note: Need computer output, Ho and Ha, P and decision. If p is small, you need to explain what type of dependency (association) we have using an appropriate pair of percentages.

Expert Solution

Step 1

Here, we're going to perform a chi square test of independence. A statistical hypothesis test called the chi-square test of independence is used to examine whether or not two nominal or categorical variables are likely to be connected.

Null Hypothesis assumes that there is no connection between the two variables and Alternative Hypothesis assumes there is an association between two variable.

The null and the alternative hypotheses are given by

H0: Sale price and living area are independent

against

H1: sale price and living are are associated

The test statistic is given by

$*n Xobserved (ad – bc) (a + b)(c+d)(a + c)(b + d)$

$i.e. Xobserved = (22 * 15) - (11 * 2))2 * 50 24 * 26 * 17 * 33 = 4743200 350064 = 13.54952237$

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Note: Need computer output, Ho and Ha, P and decision. If p is small, you need to explain what type of dependency (association) we have using an appropriate pair of percentages.

Can we do it in SPSS

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