A researcher is analyzing the relationship between various variables in housing data for 32 cities: median list prices of single family homes, condominium or co-ops, all homes, median household income, unemployment rate, and population.What is the correlation coefficient R for the model that predicts the list price of all homes using unemployment rate as an explanatory variable?What is the interpretation of this correlation coefficient in context?R=_______ A (MODERATE, STRONG OR WEAK) correlation exists between the list price of all homes and unemployment rate. H1 City2 Atlanta, GASingle family Condo or co- All homesHousehold ir Unemploymi Population403,000298,000317,00055,2798.54980443 Minneapolis4 Cincinatti, O5 San Diego, C6 Reno, NV7 Portland, OR8 Sioux Falls, S9 Kansas City.10 Chicago, IL11 Savannah,G331,000291,000323,00058,99338,5457.5425403208,000211,000191,00010.13026051426000829,000450,000536,000725,00075,4568.8247,000411,000441,00054,9166.9250998518,000514,00065,74059,0178.9653115257,000248,000175,000219,0003.4181883184,000187,00052,4057.5491918297,000292,000210,000357,00055,19813.82706000206,000203,00041,0938.814586212 Bloomington261,000890,000188,000573,000248,00034,43585,5624.78498113 Seattle, WA837,0006.674495514 Concord, NH43412297,000172,000178,000130,000284,000176,00062,9675.215 Augusta, ME16 Des Moines,17 Lincoln, NB18 Nampa, ID19 Draper, UT20 Houston, TX21 Memphis, TN22 Waco, TX23 Jackson, MS24 Tampa, FL25 Atlantic City,40,3405.418681162,000228,000298,000186,000186,000258,000165,000225,000305,00052,2516.421685355,2243.228740144,691115,6186.496252613,000418,000599,0004.8483199.82326000246,000122,000177,000170,000209,00051,140112,00039,10812.1650618170,000127,000164,00037,7357.013818368,438121,00048,57937,5639.3164422330,00050,909245,000112,000289,0006.9392890134,000123,00027,78615.83780426 Bozeman, M535,000343,000499,00051,8963.94853227 Las Vegas, N333,000183,000318,00054,69414.1644644104,55228 San Franciso 1,640,000 1,280,000 1,490,00029 Philadelphia30 Charlotte, NI31 Ann Arbor, M32 Charleston,33 San Antonio,8.488830543,7441584000209,000311,000335,000216,00011.7234,000280,00060,8868.1872498440,000282,000412,00063,9565.0121890407,000303,000364,00064,5994.8133762215,000165,000213,00046,3178.014870003435

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Answered: A researcher is analyzing the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A researcher is analyzing the relationship between various variables in housing data for 32 cities: median list prices of single family homes, condominium or co-ops, all homes, median household income, unemployment rate, and population.

What is the correlation coefficient R for the model that predicts the list price of all homes using unemployment rate as an explanatory variable?

What is the interpretation of this correlation coefficient in context?

R=_______

A (MODERATE, STRONG OR WEAK) correlation exists between the list price of all homes and unemployment rate.

H
1 City
2 Atlanta, GA
Single family Condo or co- All homes
Household ir Unemploymi Population
403,000
298,000
317,000
55,279
8.5
498044
3 Minneapolis
4 Cincinatti, O
5 San Diego, C
6 Reno, NV
7 Portland, OR
8 Sioux Falls, S
9 Kansas City.
10 Chicago, IL
11 Savannah,G
331,000
291,000
323,000
58,993
38,545
7.5
425403
208,000
211,000
191,000
10.1
302605
1426000
829,000
450,000
536,000
725,000
75,456
8.8
247,000
411,000
441,000
54,916
6.9
250998
518,000
514,000
65,740
59,017
8.9
653115
257,000
248,000
175,000
219,000
3.4
181883
184,000
187,000
52,405
7.5
491918
297,000
292,000
210,000
357,000
55,198
13.8
2706000
206,000
203,000
41,093
8.8
145862
12 Bloomington
261,000
890,000
188,000
573,000
248,000
34,435
85,562
4.7
84981
13 Seattle, WA
837,000
6.6
744955
14 Concord, NH
43412
297,000
172,000
178,000
130,000
284,000
176,000
62,967
5.2
15 Augusta, ME
16 Des Moines,
17 Lincoln, NB
18 Nampa, ID
19 Draper, UT
20 Houston, TX
21 Memphis, TN
22 Waco, TX
23 Jackson, MS
24 Tampa, FL
25 Atlantic City,
40,340
5.4
18681
162,000
228,000
298,000
186,000
186,000
258,000
165,000
225,000
305,000
52,251
6.4
216853
55,224
3.2
287401
44,691
115,618
6.4
96252
613,000
418,000
599,000
4.8
48319
9.8
2326000
246,000
122,000
177,000
170,000
209,000
51,140
112,000
39,108
12.1
650618
170,000
127,000
164,000
37,735
7.0
138183
68,438
121,000
48,579
37,563
9.3
164422
330,000
50,909
245,000
112,000
289,000
6.9
392890
134,000
123,000
27,786
15.8
37804
26 Bozeman, M
535,000
343,000
499,000
51,896
3.9
48532
27 Las Vegas, N
333,000
183,000
318,000
54,694
14.1
644644
104,552
28 San Franciso 1,640,000 1,280,000 1,490,000
29 Philadelphia
30 Charlotte, NI
31 Ann Arbor, M
32 Charleston,
33 San Antonio,
8.4
888305
43,744
1584000
209,000
311,000
335,000
216,000
11.7
234,000
280,000
60,886
8.1
872498
440,000
282,000
412,000
63,956
5.0
121890
407,000
303,000
364,000
64,599
4.8
133762
215,000
165,000
213,000
46,317
8.0
1487000
34
35

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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