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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