For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correl

Question

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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.

Mathematics

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zzz [4K] · Answer 1 · 2026-03-05T06:34:57+03:00

Answer:

The P-value signifies that the likelihood of obtaining a linear correlation coefficient that is as extreme or more extreme is 3.5%, which is considered significant at α=0.05. Thus, we have sufficient evidence to assert that there exists a linear correlation between the weight of automobiles and their highway fuel consumption.

Step-by-step explanation:

The correlation coefficient demonstrates the relationship between the weights and highway fuel consumption values across seven distinct types of automobiles.

The P-value expresses the significance of this connection. If the p-value is beneath a significance level (e.g., 0.05), it indicates that the relationship is indeed significant.

For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of seven types of​ automobile, the linear correl

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correl