Question

22.

Answer 1

The option fourth "There is a strong negative relationship between x and y" 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.

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

 

The options are:

• There is no relationship between x and y.
• There is a weak negative relationship between x and y.
• There is a strong positive relationship between x and y.
• There is a strong negative relationship between x and y.

We have data:

x 7 8 9 10 11 12 13

y 13 10 7 6 5 3 0

The value of correlation r = -0.9847

As we know the value of r between -1 to +1

If r = 1 (perfect and positive correlation)

if r = -1 (perfect and negative correlation)

We have r = -0.9847

The value is near to -1 which means there is a strong negative relationship between x and y.

Thus, the option fourth "There is a strong negative relationship between x and y" is correct.

Learn more about the correlation here:

brainly.com/question/11705632

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