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 0.001. 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 nothing?%, which is ? low, high, so there ? is not is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles

Answer 1

The correct option is;

Low

Explanation:

Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low

From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation is very low.