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 which so sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

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.

part a: 1.08

part b: 27.59