Question

For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of seven types of​ automobile, the linear correlation coefficient is found and the​ P-value is 0.035. 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_____________ which is____________ so there_______________ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Answer 1

Answer:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the weights​ and highway fuel consumption amounts of seven types of automobile.

P-value states the significance of this relationship. If the p-value is lower than a significance level (for example 0.05) then the relation is said to be significant.