Answer :

gash4f

Answer:

I will show the way.

Step-by-step explanation:

r is the correlation coefficient

[tex]r=\frac{SSxy}{\sqrt{(SSxx)(SSyy)}}[/tex]

To find SSxy

SSxy= ∑[tex]xy[/tex]- ∑[tex]\frac{(x)(y)}{n}[/tex]

To find SSxx

SSxy= ∑[tex]x^{2}[/tex]- [tex]([/tex]∑x[tex])^{2}[/tex]/n

To find SSyy

SSxy= ∑[tex]y^{2}[/tex]- [tex]([/tex]∑y[tex])^{2}[/tex]/n

if your r is near +1, it shows strong positive correlation. Y is proportional to X.

And if it nears -1, it would show strong negative correlation. Y is inversely proportional to X.

kapoorprachi783

The correlation coefficient for the following data is 7,321.95.

How to find the correlation coefficient?

Here are the steps to take in calculating the correlation coefficient:

  • Determine your data sets. ...
  • Calculate the standardized value for your x variables.
  • Calculate the standardized value for your y variables.
  • Multiply and find the sum.
  • Divide the sum and determine the correlation coefficient.

The value of x are 43, 21, 25, 42, 57, 59

The value of y are 99, 65, 79, 75, 87, 81

The mean of x is 41.166

The mean of y is 81.

Standard deviation of x:

σ =√∈([tex]x_{i}[/tex] - ч)[tex]^{2}[/tex] / N

σ =  √(247 - 41.166)² / 6

σ =   √7,061.47

= 84.03

The standard deviation of y:

σ =√∈([tex]x_{i}[/tex]  - ч)² / N

σ =  √(486-81)² / 6

σ = √1,64,025 / 6

σ = √27,337.5

σ = 522.81

Multiply both x and y standard deviations

84.03 * 522.81 = 43,931.7243

Divide the sum

43,931.72 / 6  = 7,321.95

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.

Learn more about correlation coefficient here: brainly.com/question/4219149

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