Example of product moment correlation, Mathematics

Example of Product moment correlation

The given data was acquired during a social survey conducted in a described urban area regarding the yearly income of described families and the corresponding expenditures.

Family

(x)Annual income £ 000

(y)Annual expenditure £ 000

xy

x2

Y2

A

420

360

151200

176400

129600

B

380

390

148200

144400

152100

C

520

510

265200

270400

260100

D

610

500

305000

372100

250000

E

400

360

144000

160000

129600

F

320

290

92800

102400

84100

G

280

250

70000

78400

62500

H

410

380

155800

168100

144400

J

380

240

91200

144400

57600

K

300

270

81000

90000

72900

Total

4020

3550

1504400

1706600

1342900

Required

Compute the product moment correlation coefficient briefly comment on the value acquired

The produce moment correlation:

1701_Example of Product moment correlation 1.png

Workings:

x¯  = 4020/10 = 402                 

y¯ = 3550/10 = 355

1442_Example of Product moment correlation 2.png

= 0.89

Comment: The value acquired 0.89 suggests that the correlation between annual expenditure and annual income is high and positive. This shows that the more one earns the more one spends.

Posted Date: 2/16/2013 7:11:02 AM | Location : United States







Related Discussions:- Example of product moment correlation, Assignment Help, Ask Question on Example of product moment correlation, Get Answer, Expert's Help, Example of product moment correlation Discussions

Write discussion on Example of product moment correlation
Your posts are moderated
Related Questions
Relative maximum point The above graph of the function slopes upwards to the right between points C and A and thus has a positive slope among these two points. The function ha

How much greater is 0.0543 than 0.002? To ?nd out how much greater a number is, you required to subtract; 0.0543 - 0.002 = 0.0523. For subtract decimals and line the numbers up

a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear? b. Cassie decides that four of her skirts should not be worn to school.

how can i easily solve the trignometry question?

Binomial Mathematical Properties 1. The expected or mean value = n × p = np Whereas; n = Sample Size p = Probability of success 2. The variance = npq Whereas; q =

Which of the subsequent numbers is equivalent to 12.087? Zeros can be added to the end (right) of the decimal portion of a number without changing the value of the number; 12.

The square of a positive number is 49. What is the number? Let x = the number.  The sentence that is , "The square of a positive number is 49," translates to the equation x 2

Vector Functions We very firstly saw vector functions back while we were looking at the Equation of Lines. In that section we talked about them as we wrote down the equation o


1/4 divided by (9/10 divided by 8/9)