i’ll give brainliest, please help me out :/

Randy collected two different data sets and labeled them data set Q and data set R. Data set Q has a correlation coefficient of −0.87,
and data set R has a correlation coefficient of −0.96.

Part A: Which data set has a stronger linear relationship?

Part B: How do you know this?

Select two answers, one for Part A and one for Part B

Respuesta :

Answer:

Part A: Data set R

Part B: The correlation coefficient ranges from -1 to 1, where -1 represents a strong negative correlation and 1 represents a strong positive correlation. Data set R has a correlation coefficient of -.96, which has an absolute value that is closer to 1 than Data set Q's -.87, which means that it has a stronger linear relationship.

The data set R has a stronger linear relationship because the value of correlation coefficient is close to -1.

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.

[tex]\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]}}[/tex]

We have:

Correlation coefficient for data set Q = -0.87

Correlation coefficient for data set R = -0.96

The data set R has a stronger linear relationship because the value of correlation coefficient is -0.96 which is close to -1.

As we know the correlation coefficient varies between -1 to +1 when the value of correlation coefficient is close to -1 or +1 the relationship is strong.

Thus, the data set R has a stronger linear relationship because the value of correlation coefficient is close to -1.

Learn more about the correlation here:

brainly.com/question/11705632

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