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Match each correlation with the appropriate scatterplot. coordinates to match with below:r = -0.4r = 0.5r = -0.8r = 0.94

Match each correlation with the appropriate scatterplot. coordinates to match with-example-1
User Askheaves
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Answer

Correlation coefficient for Vehicles graph = -0.8

Correlation coefficient for Office Workers graph = 0.5

Correlation coefficient for Bird Eggs graph = 0.94

Correlation coefficient for High School Seniors graph = -0.4

Step-by-step explanation

A positive correlation coefficient indicates that the graph of the data is positive sloping.

The closer the correlation coefficient is to 1, the more perfectly positively correlated the data is.

The farther the coefficient is from 1, the more scattered the data is; although, since it is positive, we can still see that it is positively sloping amidst the scatter.

A negative correlation coefficient indicates that the graph of the data is negative sloping.

The closer the correlation coefficient is to -1, the more perfectly negatively correlated the data is.

The farther the coefficient is from -1, the more scattered the data is; although, since it is negative, we can still see that it is negatively sloping amidst the scatter.

So, taking the given graphs, one at a time, we can analyze and predict the correlation coefficients.

For the first graph for Gas Mileage of Vehicles and the Weight of Vehicles

For this graph, we can see that the graph has the datapoints fairly arranged in a somewhat straight line, albeit, in a negative sloping manner.

Since, the points almost align on a straight line in a negative sloping manner, the correlation coefficient for this will be close to -1.

Correlation coefficient = -0.8

For the second graph for Weight of Workers and Age of Workers

We can see that these datapoints are very scattered, but they still can have a positive sloping line extracted using these points.

Correlation coeeficient will be positive and not so close to 1.

Correlation coefficient = 0.5

For the third graph for Length of Eggs and Width of Eggs

Positive sloping datapoints that all seem to be on a straight line.

Correlation coefficient is positive and close to 1.

Correlation coefficient = 0.94

For the fourth graph for Hours of Study and Hours of sleep

Definitely scattered datapoints that can be easily fitted to slope negatively.

Correlation coefficient is negative and not so close to -1.

Correlation coefficient = -0.4

Hope this Helps!!!

User Youngsup Kim
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