the engine size in cubic liters and rated miles per gallon for a selection of se
ID: 3044712 • Letter: T
Question
the engine size in cubic liters and rated miles per gallon for a selection of sedans. Complete parts a through c below n the engine size of sedans and the miles per gallon (MPG) they get. The accompanying table shows Click the icon to view the data table. a. Calculate the sample covariance. Engine Size versus MPG %" Sxy = 1-1 .329 Round to two decimal places as needed.) b. Calculate the sample correlation coefficient. Car Engine Size MPGE 2.1 2.5 2.3 3.3 3.4 2.5 2.3 2.2 3.4 xy Round to two decimal places as needed.) c. Describe 24 30 31 the relationship between x and y. Choose the correct answer below A. 0 B. C. D. O E. There is a perfect positive linear relationship between the two variables. There is a positive linear relationship between the two variables. There is a perfect negative linear relationship between the two variables There is a negative linear relationship between the two variables. There is no linear relationship between the two variables. 23 28 30 24 21 9 Print Done Click to select your answer(s)Explanation / Answer
The statistical software output for this problem is:
Covariance between Engine Size and MPG:
-1.3291667
Correlation between Engine Size and MPG is:
-0.63751567
Hence,
a) Sample covariance = - 1.33
b) Sample correlation coefficient = - 0.64
c) Option D is correct.
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