Analyzing Statistical Measures in FuelData 2018 File

Question 1

Use the FuelData 2018 file from the Chapter 2 files. What is the covariance for City MPG and Hwy MPG?

A. 0.95

B. 0.93

C. 22

D. 20.56

Question 2

Use the FuelData 2018 file from the Chapter 2 files. What is the correlation coefficient between City MPG and Hwy MPG?

A. 0.95

B. 0.93

C. 22

D. 20.56

Answer

Question 1: The covariance for City MPG and Hwy MPG from the FuelData 2018 file is 20.56.

Question 2: The correlation coefficient between City MPG and Hwy MPG in the FuelData 2018 file is 0.95.

Explanation

In the given dataset "FuelData 2018," the questions relate to specific statistical measures concerning City MPG (Miles Per Gallon) and Hwy MPG (Highway Miles Per Gallon).

Covariance (Question 1)

The covariance measures the relationship between two variables, indicating how they change together. The provided covariance of 20.56 for City MPG and Hwy MPG suggests a specific association between the two variables.

Correlation Coefficient (Question 2)

The correlation coefficient quantifies the strength and direction of a linear relationship between variables. The correct answer of 0.95 indicates a strong positive linear correlation between City MPG and Hwy MPG in the FuelData 2018 file, meaning as one variable increases, the other tends to increase proportionally, and vice versa.