Answer:
0.9266
Step-by-step explanation:
Given the data:
Shoe size x :
8.5
9
9
9.5
10
10
10.5
10.5
11
11
11
12
12
12.5
Height y :
66
68.5
67.5
70
70
72
71.5
70
71
71.5
73
73.5
74
74
The correlation Coefficient obtained from the online Coefficient of regression calculator is 0.9266 which depicts a strong positive relationship between shoe size and height
The correlation coefficient for the data is 0.93 and this can be determined by using the formula of the correlation coefficient.
Given :
The table shows data collected from 14 people.
A statistical measure of the strength of the relative movement between two variables is known as the correlation coefficient.
The formula of the correlation coefficient is given by:
[tex]\rm r = \dfrac{\sum (x_i-\bar{x})(y_i-\bar{y})}{\sqrt{\sum(x_i-\bar{x})^2\sum(y_i-\bar{y})^2} }[/tex]
where r is the correlation coefficient, [tex]\bar{x}[/tex] is the mean of the values of the x variable, [tex]x_i[/tex] values of the x-variable in the sample space, [tex]y_i[/tex] values of the y-variable in a sample space, and [tex]\bar{y}[/tex] is the mean of the values of the y-variable.
Now, from the attached table substitute the values of the known terms in the above formula.
[tex]\rm r = \dfrac{35.4464286}{\sqrt{(19.23214289)\times (76.08928571)} }[/tex]
Simplify the above expression.
[tex]\rm r = \dfrac{35.4464286}{38.25388889} }[/tex]
r = 0.93
So, the correlation coefficient for the data is 0.93.
For more information, refer to the link given below:
https://brainly.com/question/17716064
