10. A report says that countries with more people are likely to win more medals at the Olympics. This would be an example of: A negative relationship A positive relationship A moderate relationship A strong relationship

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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10. A report says that countries with more people are likely to win more medals at the
Olympics. This would be an example of:
A negative relationship
A positive relationship
A moderate relationship
A strong relationship
Transcribed Image Text:10. A report says that countries with more people are likely to win more medals at the Olympics. This would be an example of: A negative relationship A positive relationship A moderate relationship A strong relationship
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Step 1

Correlation Coefficient:

It is one of the statistical measures. It is used between any two variables in order to know the strength of the linear relationship of those two variables. The value of the correlation coefficient lies between -1 to 1(including zero). If the correlation coefficient positive then it is positively linearly correlated, if it is negative then it is negatively linearly correlated, and if it is zero then there is no linear correlation between the variables. When the correlation coefficient reaching the maximum or the minimum value (i.e., -1 or1) then the variables are very strongly related to each other.

          r=Cov(x,y)σx . σy,

Cov(x,y) is the covariance of x and y; 

σx is the standard deviation of x; σy is the standard deviation of y.

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