The table shows data collected from 14 people. Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5 Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74 Determine the correlation coefficient for the data. Round to the nearest hundredth.

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:

where r is the correlation coefficient, is the mean of the values of the x variable, values of the x-variable in the sample space, values of the y-variable in a sample space, and 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.

Simplify the above expression.

r = 0.93

So, the correlation coefficient for the data is 0.93.

For more information, refer to the link given below:

link

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