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Significance of correlation coefficient

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Construct a scatter plot of the raw data. Then, run the correlation/regression program.

New Car Mileage Ratings: Listed below are combined city-highway fuel economy ratings (in mi/gal) for different cars. The old ratings are based on tests used before 2008 and the new ratings are based on tests that went into effect in 2008. Is there sufficient evidence to conclude that there is a linear correlation between the old ratings and the new ratings?

Old 16 27 17 33 28 24 18 22 20 29 21

New 15 24 15 29 25 22 16 20 18 26 19

Identify the correlation coefficient: r = __________;
Identify the CV at α = 0.05: __________

Is there significant linear correlation?: ________
How do you know? ____________________________

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Step by step method for testing the significance of correlation coefficient is discussed here.

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Correlation
construct a scatter plot of the raw data. Then, run the correlation/regression program.

New Car Mileage Ratings: Listed below are combined city-highway fuel economy ratings (in mi/gal) for different cars. The old ratings are based on tests used before 2008 and the ...

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