Refer to the display generated using paired data of engine sizes (X, in cubic centimeters) and fuel efficiency (Y, in miles per gallon) for various car models. In addition to these paired values, StatCrunch was provided with an engine size of 3500 3500 cc \text{cc} to predict the corresponding fuel efficiency. Use the information provided in the display to determine the value of the linear correlation coefficient. Is there sufficient evidence to support a claim of a linear correlation between engine size and fuel efficiency?

The correlation coefficient is − 0.7234 -0.7234 , and there is sufficient evidence to support a significant linear correlation.

The correlation coefficient is − 0.0056 -0.0056 , and there is no linear correlation.

The correlation coefficient is − 1 -1 , indicating a perfect negative correlation.

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Problem 7Multiple Choice

Refer to the display generated using paired data of engine sizes (X, in cubic centimeters) and fuel efficiency (Y, in miles per gallon) for various car models. In addition to these paired values, StatCrunch was provided with an engine size of $3500$ $cc$ to predict the corresponding fuel efficiency.

Use the information provided in the display to determine the value of the linear correlation coefficient. Is there sufficient evidence to support a claim of a linear correlation between engine size and fuel efficiency?

The correlation coefficient is $negative 0.7234$ , and there is sufficient evidence to support a significant linear correlation.

The correlation coefficient is $0.5233$ , and there is insufficient evidence to support a significant linear correlation.

The correlation coefficient is $negative 0.0056$ , and there is no linear correlation.

The correlation coefficient is $negative 1$ , indicating a perfect negative correlation.

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