Question

A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data: Speed (Miles per Hour) Miles per Gallon Compute the sample correlation coefficient (to 2 decimals and enter negative value as negative number) 29513955 2924 60 25 50 55 28 24 2523 303221 36 25 25 What can you conclude, based on your computation of the sample correlation coefficient? Select your answer Select the correct interpretation for the sample correlation coefficient. (i) For driving speeds between 24 and 60 miles per hour, higher speeds are associated with higher miles per gallon. (ii) For driving speeds between 24 and 60 miles per hour, higher speeds are associated with lower miles per gallon (iii) For driving speeds between 24 and 60 miles per hour, lower speeds are associated with lower miles per gallon (iv) There is no relationship between driving speed and miles per gallon. Select your answer - Choice (i) Choice ii) Choice (iii) Choice (iv) Check My Work (4 remaining,)

Answer 1

The statistical software output for this problem is:

Correlation between Speed and Miles per Gallon 0.89734115

Hence,

Sample correlation coefficient = -0.90

Conclusion: There is a strong negative relationship.

Interpretation: Choice ii is correct.