The coefficient of correlation for the given data of x and y is 0.78.
x and y have a strong, positive correlation
What is Coefficient of Correlation?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables. In other words, it reflects how similar the measurements of two or more variables are across a dataset.
Here, given values of x and y
x 1 2 3 4 5 6
y 3 4 9 7 2 18
xy 3 8 27 28 10 108
x² 1 4 9 16 25 36
y² 9 16 81 49 4 324
∑x = 21, ∑y = 43, ∑xy = 194, ∑x² = 91, ∑y² = 483, n = 6
Now, Correlation between x and y
r = (n∑xy - ∑x.∑y)/ √[{n∑x²- (∑x)²}{n∑y² - (∑y)²}]
r = ( 6 X 194 - 21 X 43 ) / √[ {6 X 91 - (21)²}{ 6 X 483 - (43)²}]
r = ( 1164 - 903) / √( 546 - 441)(2898 - 1849)
r = 261 / √ 105 X 1049
r = 261 / √110145
r = 261 / 331.88
r = 0.78
Thus, The coefficient of correlation for the given data of x and y is 0.78.
x and y have a strong, positive correlation
Learn more about coefficient of correlation from:
https://brainly.com/question/19560394
#SPJ2
