For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eleven types of automobile, the linear correlation coefficient is found and the P-value is 0.032. 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 v so there v sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)
For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eleven types of automobile, the linear correlation coefficient is found and the P-value is 0.032. 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 v so there v sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)
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![**Linear Correlation in Automobile Data**
In an analysis of weights (pounds) and highway fuel consumption amounts (mpg) for eleven types of automobiles, the linear correlation coefficient is calculated, and the P-value is found to be 0.032.
To understand the significance of this P-value, consider the following interpretation:
**The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [insert text box for user input]%, which is [dropdown menu for user selection] so there [dropdown menu for user selection] sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)**
In this context:
- **Insert text box for user input**: Place to enter the computed percentage value derived from the P-value.
- **Dropdown menu for user selection**: Options that typically signify the interpretation of the P-value (for example, indicating whether it is less than or greater than a common alpha level like 0.05).
- **Dropdown menu for user selection**: Choices indicating whether there is or isn’t sufficient evidence to conclude a linear correlation based on the P-value.
This setup allows users to actively engage with the material, fostering a deeper understanding of the interpretation of P-values in correlation analysis.
(Note: There are no graphs or diagrams in this image to describe.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4a9f702-b3a5-4377-96c6-7225af68a417%2F3088c098-9af0-4e3a-af75-464d201a729c%2Fbjejzrf_processed.png&w=3840&q=75)
Transcribed Image Text:**Linear Correlation in Automobile Data**
In an analysis of weights (pounds) and highway fuel consumption amounts (mpg) for eleven types of automobiles, the linear correlation coefficient is calculated, and the P-value is found to be 0.032.
To understand the significance of this P-value, consider the following interpretation:
**The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [insert text box for user input]%, which is [dropdown menu for user selection] so there [dropdown menu for user selection] sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)**
In this context:
- **Insert text box for user input**: Place to enter the computed percentage value derived from the P-value.
- **Dropdown menu for user selection**: Options that typically signify the interpretation of the P-value (for example, indicating whether it is less than or greater than a common alpha level like 0.05).
- **Dropdown menu for user selection**: Choices indicating whether there is or isn’t sufficient evidence to conclude a linear correlation based on the P-value.
This setup allows users to actively engage with the material, fostering a deeper understanding of the interpretation of P-values in correlation analysis.
(Note: There are no graphs or diagrams in this image to describe.)
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