Top 50 Metro Areas by Population: Personal Income, Population, Per Capita Personal IncomeRankMetro GeoNameTotal Metro Personal Income 2020 (000s)Per Capita Personal Income 2020Population 2020 (millions)# of NFL, NBA, MLB, NHL teams 1New York-Newark-Jersey City, NY-NJ-PA 15743646718232219.1243599 2Los Angeles-Long Beach-Anaheim, CA 9151325436980513.1099036 3Chicago-Naperville-Elgin, IL-IN-WI 636555184676719.4066385 4Dallas-Fort Worth-Arlington, TX 473604117615547.6941384 5Houston-The Woodlands-Sugar Land, TX 428500645598937.1544783 6Washington-Arlington-Alexandria, DC-VA-MD-WV 485550913767716.3246294 7Miami-Fort Lauderdale-Pompano Beach, FL 396247347641906.1730084 8Philadelphia-Camden-Wilmington, PA-NJ-DE-MD 425748748697056.1079064 9Atlanta-Sandy Springs-Alpharetta, GA 357795984587736.0877623 10Phoenix-Mesa-Chandler, AZ 262362901518515.0599094 11Boston-Cambridge-Newton, MA-NH 418178210857244.8782114 12San Francisco-Oakland-Berkeley, CA 5215898571110504.6969024 13Riverside-San Bernardino-Ontario, CA 212234205453654.6783710 14Detroit-Warren-Dearborn, MI 251173430583564.3041364 15Seattle-Tacoma-Bellevue, WA 323176255804204.0185983 16Minneapolis-St. Paul-Bloomington, MN-WI 245833135672143.6574774 17San Diego-Chula Vista-Carlsbad, CA 220825596662663.3324271 18Tampa-St. Petersburg-Clearwater, FL 169629192522913.2439633 19Denver-Aurora-Lakewood, CO 208852979698222.9912314 20St. Louis, MO-IL 170697159608442.8054733 21Baltimore-Columbia-Towson, MD 186759714666952.8001892 22Charlotte-Concord-Gastonia, NC-SC 152149128566822.6842762 23Orlando-Kissimmee-Sanford, FL 127277824482232.6393741 24San Antonio-New Braunfels, TX 129592611500222.5907321 25Portland-Vancouver-Hillsboro, OR-WA 157150249626032.5102591 26Sacramento-Roseville-Folsom, CA 146881794618522.3747491 27Las Vegas-Henderson-Paradise, NV 118678768512442.3159631 28Pittsburgh, PA 147040883636752.3092463 29Austin-Round Rock-Georgetown, TX 148993898649132.2953030 30Cincinnati, OH-KY-IN 133097872596072.2329072 31Kansas City, MO-KS 126169318580572.1732122 32Columbus, OH 120320535562522.1389461 33Indianapolis-Carmel-Anderson, IN 126361669604312.0910191 34Cleveland-Elyria, OH 120269831588462.0438073 35San Jose-Sunnyvale-Santa Clara, CA 2397304051216191.971160 36Nashville-Davidson--Murfreesboro--Franklin, TN 121744536620761.9612322 37Virginia Beach-Norfolk-Newport News, VA-NC 94883251533101.7798240 38Providence-Warwick, RI-MA 98890061608971.623890 39Jacksonville, FL 87532441551251.5878921 40Milwaukee-Waukesha, WI 95447587604991.5776762 41Oklahoma City, OK 75099831526881.4253751 42Raleigh-Cary, NC 86478668608841.4203761 43Memphis, TN-MS-AR 68992049511551.3486781 44Richmond, VA 79704113611481.3034690 45New Orleans-Metairie, LA 73652443578911.2722582 46Louisville/Jefferson County, KY-IN 70652096556761.2689930 47Salt Lake City, UT 71932167580081.2400291 48Hartford-East Hartford-Middletown, CT 80910874673431.2014830 49Buffalo-Cheektowaga, NY 62784969557771.1256372 50Birmingham-Hoover, AL 60136271550741.0919210 1) Estimate the standard deviation of the error term in the simple linear regression model.1) Calculate SE (b1), the estimate of the standard deviation, of the least squares slope b11a) what is the value of the test statistic for testing H0: B1 = 0?2) Calculate a 90% confidence interval for the slope of the least squares regression line of # of teams on Population size.2a) For the metro areas that have at least 1 professional team, how much does their population have to increase to support another team? Professional sports teams in the National Football League (NFL), Major League Baseball (MLB), National Basketball Association (NBA), and National Hockey League (NHL) are in cities across the United States. Population size of the surrounding metropolitan area is an important consideration when deciding to locate a team of one of the above leagues in a city,

Consider the given data: Rank Metro GeoName Total Metro Personal Income 2020 (000s) Per Capita…

Answered: Top 50 Metro Areas by Population:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Top 50 Metro Areas by Population: Personal Income, Population, Per Capita Personal Income
Rank	Metro GeoName	Total Metro Personal Income 2020 (000s)	Per Capita Personal Income 2020	Population 2020 (millions)	# of NFL, NBA, MLB, NHL teams
1	New York-Newark-Jersey City, NY-NJ-PA	1574364671	82322	19.124359	9
2	Los Angeles-Long Beach-Anaheim, CA	915132543	69805	13.109903	6
3	Chicago-Naperville-Elgin, IL-IN-WI	636555184	67671	9.406638	5
4	Dallas-Fort Worth-Arlington, TX	473604117	61554	7.694138	4
5	Houston-The Woodlands-Sugar Land, TX	428500645	59893	7.154478	3
6	Washington-Arlington-Alexandria, DC-VA-MD-WV	485550913	76771	6.324629	4
7	Miami-Fort Lauderdale-Pompano Beach, FL	396247347	64190	6.173008	4
8	Philadelphia-Camden-Wilmington, PA-NJ-DE-MD	425748748	69705	6.107906	4
9	Atlanta-Sandy Springs-Alpharetta, GA	357795984	58773	6.087762	3
10	Phoenix-Mesa-Chandler, AZ	262362901	51851	5.059909	4
11	Boston-Cambridge-Newton, MA-NH	418178210	85724	4.878211	4
12	San Francisco-Oakland-Berkeley, CA	521589857	111050	4.696902	4
13	Riverside-San Bernardino-Ontario, CA	212234205	45365	4.678371	0
14	Detroit-Warren-Dearborn, MI	251173430	58356	4.304136	4
15	Seattle-Tacoma-Bellevue, WA	323176255	80420	4.018598	3
16	Minneapolis-St. Paul-Bloomington, MN-WI	245833135	67214	3.657477	4
17	San Diego-Chula Vista-Carlsbad, CA	220825596	66266	3.332427	1
18	Tampa-St. Petersburg-Clearwater, FL	169629192	52291	3.243963	3
19	Denver-Aurora-Lakewood, CO	208852979	69822	2.991231	4
20	St. Louis, MO-IL	170697159	60844	2.805473	3
21	Baltimore-Columbia-Towson, MD	186759714	66695	2.800189	2
22	Charlotte-Concord-Gastonia, NC-SC	152149128	56682	2.684276	2
23	Orlando-Kissimmee-Sanford, FL	127277824	48223	2.639374	1
24	San Antonio-New Braunfels, TX	129592611	50022	2.590732	1
25	Portland-Vancouver-Hillsboro, OR-WA	157150249	62603	2.510259	1
26	Sacramento-Roseville-Folsom, CA	146881794	61852	2.374749	1
27	Las Vegas-Henderson-Paradise, NV	118678768	51244	2.315963	1
28	Pittsburgh, PA	147040883	63675	2.309246	3
29	Austin-Round Rock-Georgetown, TX	148993898	64913	2.295303	0
30	Cincinnati, OH-KY-IN	133097872	59607	2.232907	2
31	Kansas City, MO-KS	126169318	58057	2.173212	2
32	Columbus, OH	120320535	56252	2.138946	1
33	Indianapolis-Carmel-Anderson, IN	126361669	60431	2.091019	1
34	Cleveland-Elyria, OH	120269831	58846	2.043807	3
35	San Jose-Sunnyvale-Santa Clara, CA	239730405	121619	1.97116	0
36	Nashville-Davidson--Murfreesboro--Franklin, TN	121744536	62076	1.961232	2
37	Virginia Beach-Norfolk-Newport News, VA-NC	94883251	53310	1.779824	0
38	Providence-Warwick, RI-MA	98890061	60897	1.62389	0
39	Jacksonville, FL	87532441	55125	1.587892	1
40	Milwaukee-Waukesha, WI	95447587	60499	1.577676	2
41	Oklahoma City, OK	75099831	52688	1.425375	1
42	Raleigh-Cary, NC	86478668	60884	1.420376	1
43	Memphis, TN-MS-AR	68992049	51155	1.348678	1
44	Richmond, VA	79704113	61148	1.303469	0
45	New Orleans-Metairie, LA	73652443	57891	1.272258	2
46	Louisville/Jefferson County, KY-IN	70652096	55676	1.268993	0
47	Salt Lake City, UT	71932167	58008	1.240029	1
48	Hartford-East Hartford-Middletown, CT	80910874	67343	1.201483	0
49	Buffalo-Cheektowaga, NY	62784969	55777	1.125637	2
50	Birmingham-Hoover, AL	60136271	55074	1.091921	0

1) Estimate the standard deviation of the error term in the simple linear regression model.

1) Calculate SE (b1), the estimate of the standard deviation, of the least squares slope b1

1a) what is the value of the test statistic for testing H0: B1 = 0?

2) Calculate a 90% confidence interval for the slope of the least squares regression line of # of teams on Population size.

2a) For the metro areas that have at least 1 professional team, how much does their population have to increase to support another team?

Professional sports teams in the National Football League (NFL), Major League Baseball (MLB), National Basketball Association (NBA), and National Hockey League (NHL) are in cities across the United States. Population size of the surrounding metropolitan area is an important consideration when deciding to locate a team of one of the above leagues in a city,

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