For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of

Question

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eight types of automobile, the linear correlation coefficient is found and the P-value is 0.044. Write a statement that interprets the P-value and includes a conclusion about linear correlation.
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [WHAT PERCENT] which is [LOW OR HIGH] so there [IS OR IS NOT] sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
(Type an integer or a decimal. Do not round.)

Explanation / Answer

For a data set of weights (pounds) and highway fuel consumption amounts (mpg)of eight types of automobiles, the linear correlation coefficient is found the P-value is .044.

Answer:

The P-value indicates that the probability of a linear correlation coefficient is at least as extreme is 4.4% which is LOW so there is sufficient evidence to conclude that there IS linear correlation between weight and highway fuel consumption in automobiles.

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