5 Suppose The Government Would Like To Investigate The Relationship Between The Engine Size Of Sedans And The Miles Per 1 (80.93 KiB) Viewed 112 times
5. Suppose the government would like to investigate the relationship between the engine size of sedans and the miles per gallon (MPG) they get. The accompanying table shows the engine size in cubic liters and rated miles per gallon for a selection of sedans. Complete parts a through e below. 1 Click the icon to view the data table. a. Calculate the sample covariance Sxy= (Round to three decimal places as needed.) b. Calculate the sample correlation coefficient. Exy = (Round to three decimal places as needed.) c. Describe the relationship between x and y. Select the correct choice below. O A. There is a perfect positive linear relationship between the two variables. OB. There is a perfect negative linear relationship between the two variables. O C. There is a positive linear relationship between the two variables. OD. There is a negative linear relationship between the two variables O E. There is no linear relationship between the two variables. d. Which do you think is more valuable in expressing the relationship between MPG and engine size—the covariance or the correlation coefficient? Explain. O A. The covariance, because it is a measure of the relationship between MPG and engine size. OB. The correlation coefficient, because the covariance describes nothing about the relationship between MPG and engine size. O C. The correlation coefficient, because the covariance is useful in describing the direction of the relationship but not the strength of the relationship. OD. The covariance, because the correlation coefficient is useful in describing the direction of the relationship but not the strength of the relationship. e. What conclusion can you reach about the relationship between MPG and engine size? O A. The strength of the relationship cannot be determined. OB. There is no relationship O C. There is a weak relationship OD. There is a strong relationship.
1: Engine Size versus MPG Car MPG Engine Size 2.1 26 1 2 30 2.3 2.4 3 25 4 3.3 20 5 3 24 6 2.2 28 7 2.4 25 8 29 1.9 3.2 9 20
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