For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correl
ation 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.
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 <em>weights</em><em></em>and <em>highway fuel consumption amounts</em>of seven types of automobile.
P-value states <em>the significance</em> of this relationship. If the p-value is lower than a <em>significance level</em> (for example 0.05) then the relation is said to be significant.
