Exhibit 14-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).

n = 10
Σx = 55
Σy = 55
Σx2 = 385
Σy2 = 385
Σxy = 220

Refer to Exhibit 14-1. The sample correlation coefficient equals _____.
a. 0
b. 1
c. –1
d. –0.5

Respuesta :

The value of the coefficient of the correlation is -1 after putting all the values in the formula option (c) is correct.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

 

We have:

n = 10

Σx = 55

Σy = 55

Σx² = 385

Σy² = 385

Σxy = 220

Plug all values in the above formula:

[tex]\rm r = \dfrac{10(220)-(55)(55)}{\sqrt{{[10\times385- (55)^2]}}\sqrt{[10\times385- (55)^2]}}[/tex]

r = -825/825

r = -1

Thus, the value of the coefficient of the correlation is -1 after putting all the values in the formula.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1