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Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axis are the same for eachscatter diagram

Match the linear correlation coefficient to the scatter diagram The scales on the x and y axis are the same for eachscatter diagram

Answer :

SOLUTION:

Case: Identifying graphs with corresponding correlation coefficients

Given: Three correlation coefficients with their corresponding graphs

Required: To match the graphs with their correct approximate linear correlation coefficients.

Method: The linear coefficients of graph is evaluated from the level of noise from the line of best fit(the red lines in the image below)

Correlation varies as

1 meaning perfectly correlated

as it tends to zero poor correlation AND

as it tends to one it is a good correlation

From the image above

A matches with (I). No noise

B matches with (II) least noise

C matches with (III) less noise

Final answer:

A) r =0.787. matches with (I)

B) r= 0.946 matches with (II)

C) r=1 matches with (III)

Final answer:

The linear correlation coefficient measures the strength and direction of the linear relationship between two variables.

Explanation:

The linear correlation coefficient, also known as the correlation coefficient or r-value, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, with -1 indicating a perfect negative linear relationship, +1 indicating a perfect positive linear relationship, and 0 indicating no linear relationship. To match the linear correlation coefficient to the scatter diagram, you can examine the trend in the scatter plot. If the points in the scatter plot form a clear linear pattern, the linear correlation coefficient will be close to -1 or +1. If there is no clear linear pattern, the linear correlation coefficient will be close to 0.

Learn more about linear correlation here:

https://brainly.com/question/32755598

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