Example of product moment correlation, Mathematics

Assignment Help:

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

= 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.

Related Discussions:- Example of product moment correlation

Math, how do you add all the Y.AND X UP WITH 3

how do you add all the Y.AND X UP WITH 3

Power of iota, The next topic that we desire to discuss here is powers of i...

The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i

Iti, Gm signal is better than am signal becuase

Gm signal is better than am signal becuase

Please help me solve these Problems step by step, What angle (to the neares...

What angle (to the nearest degree) corresponds to the cos 0.6 or what is cos-1(0.6)? (Note: Use Appendix I) What angle (to the nearest degree) corresponds to the sin 0.6 or what

Find the coordinates of c , Plot the points A(2,0) and B (6,0) on a graph p...

Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C (Ans: (

Polynomials, find a quadratic polynomial whose zeroes are 2 and -6.verify t...

find a quadratic polynomial whose zeroes are 2 and -6.verify the relationship between the coefficients and zeroes of the polynomial

Problem solving sentence, a cheeseburger cost $6.39 more than a burger of $...

a cheeseburger cost $6.39 more than a burger of $2.29, what is the difference?

Undetermined coefficients, UNDETERMINED COEFFICIENTS The way of Undeter...

UNDETERMINED COEFFICIENTS The way of Undetermined Coefficients for systems is pretty much the same to the second order differential equation case. The simple difference is as t

Basic mathematics, what is 5x - 14x + 7x =

what is 5x - 14x + 7x =

Determinant of square matrix, What is the determinant of a square matrix?

What is the determinant of a square matrix?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages