For a data set of weights and highway fuel consumption amounts of four types of automobile

Will Underwood 2022-09-14 Answered
For a data set of weights and highway fuel consumption amounts of four types of automobile, the linear correlation coefficient is found and the P-value is 0.001. Please, write a statement that interprets the P-value and includes a conclusion about linear correlation.
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Answers (2)

acorazarxf
Answered 2022-09-15 Author has 9 answers
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.1% which is low so there is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

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Janet Hart
Answered 2022-09-16 Author has 2 answers
Null hypothesis: There is no linear correlation between the two variables.
Alternative hypothesis: There is linear correlation between the two variables.
The P-value is 0.001.
Decision rule: if P v a l u e < α , then reject the null hypothesis. Otherwise, do not reject the null hypothesis.
Consider the level of significance as 0.01.
Thus, the P-value (0.001) is less than the level of significance (0.01).
Based on decision rule, reject the null hypothesis.

Thus, there is 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 0.1% which is low so there is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

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