The given figure displays the relationship between golfers' scores on the first and second rounds of the 2019 Masters Tournament.   The correlation is ?=0.283.is �=0.283. The provided figure gives data on number of boats registered in Florida and the number of manatees killed by boats for the years 1977 to 2018.   The correlation is ?=0.919.is �=0.919. Explain in simple language why knowing only these correlations enables you to say that prediction of manatee deaths from number of boats registered by a regression line will be much more accurate than prediction of a golfer's second-round score based on that golfer's first-round score.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The given figure displays the relationship between golfers' scores on the first and second rounds of the 2019 Masters Tournament.

 

The correlation is ?=0.283.is �=0.283.

The provided figure gives data on number of boats registered in Florida and the number of manatees killed by boats for the years 1977 to 2018.

 

The correlation is ?=0.919.is �=0.919.

Explain in simple language why knowing only these correlations enables you to say that prediction of manatee deaths from number of boats registered by a regression line will be much more accurate than prediction of a golfer's second-round score based on that golfer's first-round score.

 

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The correlation measures the relationship between the two variables.  It is the statistical measurement of a linear relationship between two variables or the extent to which the two variables are linearly related.

There are two types of correlation.

  • Positive correlation

If two variables are moving in the same direction then it is a positive correlation.

  • Negative correlation

If two variables are moving in the opposite direction then it is a negative correlation.

The correlation coefficient lies between -1 to 1.

If the value of the correlation coefficient is between 0 to 1 then it is a positive correlation.

If the value of the correlation coefficient is between -1 to 0 then it is a negative correlation.

Given that,

The correlation between the two variables golfers' scores on the first and second rounds is 0.283

The correlation between the two variables number of boats registered in Florida and the number of manatees killed by boats is 0.919

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