ZuoTi.Pro
Question

"V1" (x) "V2" (y) 10.887567665367 -0.582994861684123 -1.53303950481746 3.62213232453971 -13.6602853856511 0.932023402536683 -3.82919768713169 0.617102734600767 3.32495244658338 0.313186529466879 -2.038035385

"V1"     (x)           "V2"  (y)
10.887567665367         -0.582994861684123
-1.53303950481746       3.62213232453971
-13.6602853856511       0.932023402536683
-3.82919768713169       0.617102734600767
3.32495244658338        0.313186529466879
-2.03803538531191       -1.92256231042897
-5.43642811315563       0.926857851131095
8.08216451296413        -1.13021220455597
1.08828614672851        5.57534046763344
2.25041844864576        2.35965021977151
5.71245913552909        -0.286165165746454
4.26314651200341        -0.0547262286727799
-6.47284396395667       -0.822411746149644
14.6163783576551        1.56536328314829
-8.54288390757855       4.01434324582828
-10.8398396203463       5.83284728082572
-3.18949585383006       0.734556694789165
-18.0665610864023       5.53294358818384
1.81027992381657        -0.138161416555125
-8.35282537364497       1.21858169948535
10.3206221345147        1.72707165185702
3.83889648277446        -1.77153327913459
-2.4702404742118        -0.962521870936888
-12.8944315454566       -0.314888156347289
-5.37375443068212       2.42659121457747
0.792797842645821       1.04343813020515
-10.0070200759536       -1.93470644183595
12.7006345133421        -0.324218965245058
-1.43520519597769       3.39858970137147
-11.3626132609107       2.5874009104816
20.1773699801616        -1.24812520878189
-2.89874411441843       2.24521271528654
0.109857843045624       0.677771645274985
3.60562583383812        -3.16203948974972
-2.41611624918198       0.968091427703526
-0.851118350309166      -2.77458815255827
-3.65484278715485       -0.0270685833080091
17.8030796944155        -0.275547994582301
9.01877231138262        0.409718280114015
-11.9821308442801       2.48919542377765
-8.78550382265509       0.478150638730817
2.21997624283135        2.52502147017073
-7.63360665720117       4.60532215051023
2.26056256713077        -1.41483548307179
-7.00725367149131       0.969792306134607
-7.59810363770912       0.307391879397242
-5.72450279028981       -0.0884670724887382
2.37246701442603        -1.75084494587958
-7.19610369422324       2.95699626987222
5.2119119353154         2.30831192668995
-4.08708243989803       -1.68126835794306
-3.61086314917611       2.75567970900253
-3.44815431670993       -0.203961544960277
-2.32198651319729       -2.87126093425898
-12.6862350692715       -1.65035752484315
-2.95843823918965       2.04562523315346
2.62778956518952        4.60117132674853
-0.164047929007032      0.534416198105554
2.55872376948192        0.735840544751123
-3.35873909430573       2.13772754789948
12.1394490240577        3.83528725936297
2.73381829408412        4.52450164204758
-0.721192135027768      -1.41455289497531
-11.9416516465697       -0.638845826663633
-1.50559150024764       0.501327151223468
6.51602207330441        1.81589383971289
3.87157507570081        0.356434061057542
-1.72606889292524       1.70523864030091
-1.78853073845321       2.27064337753232
-14.9799577180411       0.412208199783806
20.0983374395329        1.60137058510724
-3.16235335500987       2.18875608199259
11.3498933144836        -0.00807860313274844
-3.40164904465341       2.79029248394313
2.84781781449718        4.87067398059823
22.5361782868181        1.86720513256379
3.33309031609563        1.20375442377803
-0.478054383016195      1.81811061871376
-7.4597398294931        2.98893322628899
3.9217237867973         3.21352956378367
2.66663622817201        7.28792217133253
12.1846819361543        1.78424464759393
3.9235774255808         2.36181140501473
-1.06422180852637       0.722611166386321
-0.150779654979232      0.376019264269639
-5.02419075696024       4.0459209173835
21.4241112200711        3.21812749215515
8.73405966099614        3.1080172734144
2.23809950429426        -0.725468068362201
-1.22426026839288       4.82650853189663
-8.97139996795623       0.175843070815438
-13.4627308631881       0.919536325835281
-7.6644080667573        2.40770289992152
8.52488628289583        3.98068187554306
2.70022311992451        -0.573601036086195
-0.622087771113139      0.176052347548724
2.66644313311968        1.00677021117968
-7.581143177131        0.801857499372593
7.89275487834348        4.32854814280182
-7.90107344307595       -1.2999468210453

This is a set of 100 bivariate data points. Denote the first column by the variable x and the second by y.

Compute the correlation coefficient r. (The answer is not 0.011847486) Show all work or steps used

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Solution:

XY

X^2

Y^2

-6.34739600514716

118.539129667945

0.339883008750090

-5.55287194519567

2.35021012333096

13.11984257647540

-12.7317056647567

186.6033968174330

0.868667622876056

-2.3630083640559

14.66275492713470

0.380815785051745

1.04133031738786

11.05530877204080

0.098085802239508

3.91825001912126

4.15358823178347

3.69624583748198

-5.0387960787881

29.55475062950890

0.859065476203351

-9.13456097178122

65.32138321461670

1.27737962732727

6.06756579422033

1.18436673716119

31.08442133003110

5.31020038692483

5.06438319400519

5.56794915966774

-1.63470681533853

32.63218937508980

0.081890502086696

-0.233305930881463

18.17441818280680

0.0029949601047454

5.32334290695179

41.89770898173030

0.676361080204906

22.8799420136766

213.6385162941280

2.45036220822879

-34.29406831428310

72.98086545836460

16.11495169532710

-63.2271290541238

117.5021229948290

34.02210740143600

-2.34286553243315

10.17288380159910

0.539573537859583

-99.9612633235413

326.4006294887060

30.61346475002470

-0.250110838635801

3.27711340257333

0.019088577024519

-10.17860013932060

69.76969172260720

1.48494135832060

17.8244539180484

106.5152412434350

2.98277649064814

-6.80073287438768

14.73712620545810

3.13833015908135

2.37766048290237

6.1020880004341

0.926448352031847

4.06030377649515

166.2663648804660

0.099154551007795

-13.03990529079000

28.87723668127570

5.88834492266456

0.827235498561032

0.628528419303868

1.08876313156602

19.3606462045291

100.1404508005380

3.74308901608152

-4.11778657987145

161.3061170414970

0.105117937424576

-4.87767359840460

2.05981395456136

11.55041195826820

-29.3996358967307

129.1089801170240

6.6946434715610

-25.1838841191586

407.1262593163270

1.55781653679684

-6.50829714405428

8.40271744087549

5.04098013688436

0.074458531027394

0.012068745678637

0.459374403138760

-11.40113127185790

13.00053765364080

9.99849373473667

-2.33902142916827

5.83761772956120

0.937201012393051

2.36150289119275

0.724402446232996

7.69833941631671

0.0989314164617772

13.35787579881780

0.0007327082023026

-4.90560290718508

316.9496466057100

0.075926697318328

3.69515588015959

81.33825400456180

0.167869069059586

-29.8258652646871

143.5714595694490

6.19609385775559

-4.20079426437457

77.18507741788720

0.228628033318688

5.60548767641811

4.92829451873560

6.37573342482315

-35.15521782669090

58.27195059686600

21.20899210998020

-3.19832413168047

5.11014311991286

2.00175944415899

-6.79558069774575

49.10160401662840

0.940497117037879

-2.33559535705043

57.73117888936860

0.094489767519369

0.506430003310553

32.76993219603580

0.0078264229147277

-4.15382188147383

5.62859973453956

3.06545802451207

-21.27885178143180

51.78390837801340

8.74382694003822

12.0307184811462

27.1640260214831

5.32830395089907

6.87148238250528

16.70424287052280

2.82666329142055

-9.95038231216958

13.03833268207800

7.59377065860827

0.703290881697606

11.88976819184530

0.041600311822583

6.66702916521960

5.39162136747011

8.24413935260175

20.9368235085013

160.9405602328140

2.72367995980641

-6.05185591281244

8.75235681509956

4.18458259451415

12.09091000007900

6.90527799891893

21.17077757809280

-0.087669870527028

0.026911723011496

0.285600672797595

1.88281269240322

6.54706732851177

0.541461307299629

-7.18006908810431

11.28112830361770

4.56987906904832

46.5582741776547

147.3662226076950

14.70942836183190

12.36916536064330

7.47376246506901

20.47111510889130

1.02016442243695

0.520118095625910

2.00095989268303

7.62887431788195

142.6030440480210

0.408123990245541

-0.754793897725417

2.26680576561794

0.251328912553838

11.83240434234670

42.45854365979030

3.29747043710722

1.3799612269212

14.98909356678770

0.127045239881972

-2.94335937203753

2.97931382312416

2.90783882037530

-4.06111547678177

3.19884220239198

5.15582134793138

-6.17486140379125

224.3991332342990

0.169915599969006

32.1848863852275

403.9431678333300

2.56438775084670

-6.92162013918753

10.00047874194220

4.79065318645955

-0.0916912836867478

128.8200782501600

0.00006526382857645

-9.49159576230874

11.57121622299150

7.78573214594952

13.87079213055550

8.11006630456749

23.72346502527660

42.0796677655194

507.8793317752520

3.48645500707256

4.01222221285183

11.10949105525050

1.44902471276518

-0.869155750084399

0.228535993120995

3.30552622187973

-22.2966642358433

55.6477183237257

8.93372183121431

12.6025753298668

15.3799174599318

10.32677225731170

19.43423729017330

7.11094877339945

53.11380957540030

21.7404535272178

148.4664738852450

3.18352896246759

9.26674991219507

15.3944598145273

5.57815311285765

-0.769018562353

1.13256805774314

0.522166897786199

-0.056696054932121

0.022734504355656

0.141390487101881

-20.3274784765103

25.24249276232470

16.3694760697213

68.9455213123004

458.9925415699760

10.35634455576480

27.1456082934079

76.28379816184000

9.6597713718423

-1.62366972418276

5.00908939112221

0.526303918213183

-5.90890263066029

1.49881320476541

23.29518460847100

-1.57755851987895

80.48601738504510

0.030920785553803

-12.3794700736452

181.2451222946370

0.845547054530648

-18.4536175285134

58.7431510137744

5.79703325429050

33.93486031738910

72.67368613630550

15.84582819427700

-1.5488507792526

7.29120489737486

0.329018148599156

-0.109520012485821

0.386993194968513

0.030994429077417

2.68449551622951

7.10991898216110

1.01358625811878

-6.07899651039986

57.4737318721599

0.642975449300068

34.16416947024370

62.29557956961480

18.73632902455310

10.270975305172

62.42696155288010

1.6898617375458


Summation(X) = -14.761239561494
Summation(Y) = 125.617831944029
Summation(XY) = -38.8747012277241
Summation(X^2) = 6732.38134952851
Summation(Y^2) = 595.398744900421
Correlation Coefficient = n*Summation(XY) - Summation(X) *Summation(Y) / Sqrt((n*Summation(X^2) - (Summation(X))^2)*

(n*Summation(Y^2) - (Summation(Y))^2)) = 100*(-38.8747012277241) - (14.761239561494*125.617831944029) / sqrt(100*6732.38134952851) - (-14.761239561494)^2) (100*595.398744900421-(125.617831944029)^2))
= -0.0118474855114398
So both the variables X and Y are negatively correlated with each other.

0 0
Add a comment
Know the answer?
Add Answer to:
"V1" (x) "V2" (y) 10.887567665367 -0.582994861684123 -1.53303950481746 3.62213232453971 -13.6602853856511 0.932023402536683 -3.82919768713169 0.617102734600767 3.32495244658338 0.313186529466879 -2.038035385
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Problem 5. Given vi,v2,... ,Vm R", let RRm be defined by f(x)-x, v1), x, v2), (x, Vm where (x' y)...

    Problem 5. Given vi,v2,... ,Vm R", let RRm be defined by f(x)-x, v1), x, v2), (x, Vm where (x' y) is the standard inner product of Rn Which of the following statement is incorrect? 1. Taking the standard bases Un on R": codomain: MatUn→Un(f)-(v1 2. Taking the standard bases Un on R: codomain: v2 vm) Matf)- 3. f is a linear transformation. 4. Kerf- x E Rn : Vx = 0 , where: Problem 8. Which of the following statements...

  • PLEASE SHOW IT ON TI84 OR SHOW WORK. You run a regression analysis on a bivariate...

    PLEASE SHOW IT ON TI84 OR SHOW WORK. You run a regression analysis on a bivariate set of data (r: 108). With x regression equation 27.5 and y :-67.4, you obtain the y 0.488z 33.947 with a correlation coefficient of r = 0.076. You want to predict what value (on average) for the response variable will be obtained from a value of 150 as the explanatory variable. What is the predicted response value? 107.1 (Report answer accurate to one decimal...

  • Below are sample questions: [5] 6. Let X F (V1, V2) where v2 > 2. Derive...

    Below are sample questions: [5] 6. Let X F (V1, V2) where v2 > 2. Derive E(X) = 2. Show your work. Hint: You may use the result that if Y ~ (v), then E(Y") = 2 r>-v/2. ru2 + 2/4 for

  • You run a regression analysis on a bivariate set of data (n=81n=81). With ¯x=33.6x¯=33.6 and ¯y=80.6y¯=80.6,...

    You run a regression analysis on a bivariate set of data (n=81n=81). With ¯x=33.6x¯=33.6 and ¯y=80.6y¯=80.6, you obtain the regression equation y=−2.744x+43.641y=-2.744x+43.641 with a correlation coefficient of r=−0.045r=-0.045. You want to predict what value (on average) for the response variable will be obtained from a value of 130 as the explanatory variable. What is the predicted response value? y =

  • You run a regression analysis on a bivariate set of data (n=105n=105). With ¯x=76.2x¯=76.2 and ¯y=78.6y¯=78.6,...

    You run a regression analysis on a bivariate set of data (n=105n=105). With ¯x=76.2x¯=76.2 and ¯y=78.6y¯=78.6, you obtain the regression equation y=0.507x−31.989y=0.507x-31.989 with a correlation coefficient of r=0.462r=0.462. You want to predict what value (on average) for the response variable will be obtained from a value of 160 as the explanatory variable. What is the predicted response value? y =

  • You run a regression analysis on a bivariate set of data (n=101n=101). With ¯x=65.2x¯=65.2 and ¯y=42.7y¯=42.7,...

    You run a regression analysis on a bivariate set of data (n=101n=101). With ¯x=65.2x¯=65.2 and ¯y=42.7y¯=42.7, you obtain the regression equation y=−1.151x−20.497y=-1.151x-20.497 with a correlation coefficient of r=−0.017r=-0.017. You want to predict what value (on average) for the response variable will be obtained from a value of 190 as the explanatory variable. What is the predicted response value? y =

  • Run a regression analysis on the following bivariate set of data with y as the response...

    Run a regression analysis on the following bivariate set of data with y as the response variable. data: x, y 27.9, 61.5 35.9, 40.6 53.6, -25.3 15.5, 68.5 32.7 14.4 12.4, 89.4 37.7, 17.3 30.3, 48.6 46.7, -6.3 14.4, 55.5 16.9, 55.3 24.8, 62.1 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a...

  • Let E be the plane in R3 spanned by the orthogonal vectors v1=(121)and v2=(−11−1) The reflection...

    Let E be the plane in R3 spanned by the orthogonal vectors v1=(121)and v2=(−11−1) The reflection across E is the linear transformation R:R3→R3 defined by the formula R(x) = 2 projE(x)−x (a) Compute R(x) for x=(1260) (b) Find the eigenspace of R corresponding to the eigenvalue 1. That is, find the set of all vectors x for which R(x) =x. Justify your answer.

  • Here is a bivariate data set. x y 44.1 57.5 28.1 30.4 19.3 21.1 19.4 7.6...

    Here is a bivariate data set. x y 44.1 57.5 28.1 30.4 19.3 21.1 19.4 7.6 23.9 22.7 23.6 25.6 36.5 43.3 47.5 56 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. r² = %

  • You run a regression analysis on a bivariate set of data ( n = 41 )....

    You run a regression analysis on a bivariate set of data ( n = 41 ). With ¯ x = 41.6 and ¯ y = 31.1 , you obtain the regression equation y = − 2.748 x + 61.522 with a correlation coefficient of r = − 0.011 . You want to predict what value (on average) for the response variable will be obtained from a value of 10 as the explanatory variable. What is the predicted response value? You...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT