For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of
ID: 3271970 • Letter: F
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.