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Question
Submitted by rbcjy on Fri, 2012-05-04 08:19
due on Fri, 2012-05-04 11:00
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CORRELATION AND REGRESSION

Please give step-by-step answers with explanations, thanks!

Answer
Submitted by Coloratus on Fri, 2012-05-04 12:59
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Complete answer to first problem

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Formula that xxxxxxxxxx x xxx

As a result, xx have:


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Answer
Submitted by rajendrabnk on Fri, 2012-05-04 15:43
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please find it attached

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x have xxxxx as much as possible xx explain to xxx xxx xxxxxxxx xxx me xxxx xx you need more xxxxx Also, Please DO xxx xxxxxx to rate me xx xxx xxxxx my xxxxxxxx A testimonial xxxx be x xxxxx xxx xx acknowledge! :)

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xxxx

xxx xxxxxxx xxx xxx correlation xxxxxxxxxxx is given xx

Now, all xxx xxxxxx xxx xxxxx in the xxxxxxxxx Substituting, xx get:

x x [10(5980)-(525*100)]/[sqrt((10*32085)-525 2 xxxxxxxxxxxxxxxxx 100

x xx

x = 7300/(212.66*43.81)

r x xxxxxx

xxxx

The correlation co-efficient represents the xxxxxx xx xxxxxxxxxxx of variation) xxxxxxxxx xx xxx xxxxxxxx

explained xx xxx xxxxx variable. xxxxx xxxxxx xx xxxxxxxxx in Y xx explaned xx xx

Section B

xx xxx xxxxxxx numbers xxxx been filled.

xx Y is xxxxxxxxx xxxxxxxxxx with X. xx xxxx xxxxx xxx every xxxxxxxxxx x, x xxxxxxx by 5. xxx

xxxxxx xxx calculated accordingly.

x Y

x x

x xx

x xx

xx 52

xx 67

b) Y is xxxxxxxxx negatively correlated xxxx X. This xxxxx that

- - - more text follows - - -


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data

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
xxxx x x
Motorboats xxxxxxxxxx Manatee deaths xy x squarey xxxxxx
1977447xx 5811 199809 xxx
xxxx460 xxxxxx xxxxxx 441
xxxx481 24xxxxx231361 576
1980 xxxxx xxxxxxxxxxxxx
1981xxx xx xxxxx 263169xxx
xxxx512 xx xxxxx xxxxxx xxx
xxxx 526 xx7890 xxxxxx 225
1984 xxx xx xxxxxxxxxxx1156
1985xxx33 xxxxxxxxxxx1089
xxxx xxx xxxxxxxxxxxxx1089
1987 645 xxxxxxxxxxxxxxxxx
1988xxx43 29025 xxxxxx1849
1989 xxx 50 xxxxx 505521 2500
xxxx 719 xx 33793 xxxxxx xxxx
xxxxxxx
Ʃy412
xxxx xxxxxx
xxxxxxxxxxxxxx
Ʃ(y^2)xxxxx
r 0.9414772888

xxxxxxxxxx line

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
xxxxxxx OUTPUT
Regression Statistics
xxxxxxxx xxxxxxxxxxxxx
x Square 0.8863794853
Adjusted x Square 0.8769111091
xxxxxxxx Error xxxxxxxxxxxx
Observations 14
xxxxx
df SS xx xxxxxxxxxxxxx F
Regression 11711.97866304831711.9786630483 93.6147301596xxxxxxxxxxxx
Residual12 xxxxxxxxxxxxxx18.287492365
xxxxx 131931.4285714286
xxxxxxxxxxxxxxxxxxxx xxxxxx xxxxP-value xxxxx xxxxxxxx 95% xxxxx 95.0%Upper 95.0%
Intercept -41.4304389485 7.4122172282 xxxxxxxxxxxxx 0.0001180993 -57.5802729415xxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxx
X xxxxxxxx x 0.1248616923 0.01290497369.67547053940.00000051090.0967441702 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
xxx 821 boats, x =61.0810104252
Confidence interval at 95% confidence xxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxx

Sheet3

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xxx

xxx xxxxxxxxxx co-efficient xx calculated by xxx following xxxxxxxx (In xxxxxx I put in this xxxxxxx

and it calculates xx xxxxxxx xx xx xxxx xxxx a calculator).

Now, The correlation coefficient (rxy) xxxxx xx xxxxx means you xxx predict xxx xxxx xxxxx xxxx

xxx xxxxxx xxx xxxx the error xx xxxxxxxxxx is xxxxxxxxxx xxxxxx xx would xxxxxxxx that this test

is xxxxxxxxx

The regression equation is presented below xxx xx is xxxxxxxx in a xxxxxxx fashion to the

xxxxxxxxxxx coefficient. xxx xxxxxxxxxx xxxxxxxx xx used to xxxxxxx values xx the dependant

xxxxx xxx xxxx values of xxx Independent xxxxx (X). The xxxxxxx x and x stand xxx the xxxxx and

xxxxxxxxx xxxxxxxxxxxxx

xxx slope and xxxxxxxxx xxx xxxxxxxx xxxxx the two equations below.

xxx xxx

- - - more text follows - - -



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Answer
Submitted by shahimermaid on Fri, 2012-05-04 14:10
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the answer is in attached file

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xxxx

Correlation(r) = xxxxx x (ΣX)(ΣY) x xxxxxxxxxxx - xxxxxxx xxxx [NΣY2 - (ΣY)2])

x 10 (5980)-(525)(100)/ sqrt ({10(32,085)-(525)^2} Sqrt {10 (1192)-(100)^2})

= 59800 xxxxxxx sqrt ({320850-275625} Sqrt xxxxxxxxxxxxxx

=7300/sqrt (45225) Sqrt xxxxxx

xxxxxxxxxxxx x xxxxx

=0.78

xxxx

r^2 xxx be xxxxxxxxxxx as xxx percentage xx xxxxxxxx xx y that xx xxxxxxxxx for by xx r^2 = 0.61 xx say xxxx 61 percentage of xxx variance xx y is xxxxxxxxx for xx xxxxxxxxxxx in x.

section B

Q1 xx xxxxxxx y= xx

b) x x 5,4,3,2,1

c) x: 2,3,4,5,6

xx xxxxxxxxx

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

x

y

x^2

xxx

xx

xxx

13

xxxxxx

169

5811

xxx

21

xxxxxx

441

xxxx

xxx

xx

231361

xxx

xxxxx

498

16

xxxxxx

256

7968

513

xx

263169

576

12312

xxx

xx

xxxxxx

400

xxxxx

526

xx

276676

xxx

xxxx

xxx

xx

312481

xxxx

19006

xxx

33

xxxxxx

xxxx

xxxxx

xxx

33

xxxxxx

1089

20262

645

xx

416025

1521

25155

xxx

xx

xxxxxx

1849

xxxxx

xxx

50

505521

xxxx

35550

xxx

xx

516961

2209

xxxxx

 

 

 

 

 

7945

412

xxxxxxx

14056

xxxxxx

Q2 xxxxxxxxxxxxxx = xxxxx x xxxxxxxxxx x Sqrt([NΣX2 x (ΣX)2] xxxx xxxxxx - xxxxxxxx

xx xxxxxxxxxxxxxxxxxxxxx xxxx xxxxxxxxxxxxxxxxxxxxxx sqrt ( xxxxxxxxxxxxxxxxx

3465294-3273340/ xxxx xxxxxxxxxxxxxxxxxxxxxx xxxx x xxxxxxxxxxxxxxxxx

191954/sqrt(

- - - more text follows - - -



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Answer
Submitted by shahimermaid on Fri, 2012-05-04 09:13
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solution to section A

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17.2
Correlation(r) x xxxxx - (ΣX)(ΣY) x Sqrt([NΣX2 x (ΣX)2] xxxx xxxxxx x (ΣY)2])
= 10 xxxxxxxxxxxxxxxxxx xxxx ({10(32,085)-(525)^2} xxxx xxx (1192)-(100)^2})
x 59800 xxxxxxx sqrt xxxxxxxxxxxxxxxx xxxx {11920-10000})
=7300/sqrt (45225) Sqrt xxxxxx
=7300/212.66 x xxxxx
xxxxx

17.3
r^2 can be xxxxxxxxxxx xx xxx percentage of variance in x that xx accounted xxx by xx xxx x 0.61 xx xxx xxxx xx percentage of the xxxxxxxx in x xx accounted for xx differences in xx


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Answer
Submitted by SHIR15 on Fri, 2012-05-04 09:19
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