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The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. r = Cost per Serving 31 46 49 r 62 41 19 77 71 30 Cost per Cup 9.3 10 10 7 6.4 7 Fiber per Serving 12 7 9.6 10 8 10 7 8 7 12 12 8 47 46 49 62 (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) 32.8 Cost per Serving 19 53 Interpret the value of the correlation coefficient. O There is a strong positive linear relationship between cost per serving and fiber per serving. There is a weak positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. O There is a weak negative linear relationship between cost per serving and fiber per serving. 77 53 11/201 (b) The serving size differed for the different cereals, with serving sizes varying from "per cup" rather than "per serving" results in the accompanying data. 56.8 67 30 43 Fiber per Cost per Cup Cup 48 28 54 27 59 13 10 8 12 7 28 Fiber per Serving 7 13 16 10 10.7 8 12 7 14 7 8 8 Fiber per Cup 53 53 67 43 48 56 54 54 78.3 cup to 4 cups. Converting price and fiber content to Calculate the value of the correlation coefficient for this new data set. (Round your answer to four decimal places.) Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data?

The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. r = Cost per Serving 31 46 49 r 62 41 19 77 71 30 Cost per Cup 9.3 10 10 7 6.4 7 Fiber per Serving 12 7 9.6 10 8 10 7 8 7 12 12 8 47 46 49 62 (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) 32.8 Cost per Serving 19 53 Interpret the value of the correlation coefficient. O There is a strong positive linear relationship between cost per serving and fiber per serving. There is a weak positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. O There is a weak negative linear relationship between cost per serving and fiber per serving. 77 53 11/201 (b) The serving size differed for the different cereals, with serving sizes varying from "per cup" rather than "per serving" results in the accompanying data. 56.8 67 30 43 Fiber per Cost per Cup Cup 48 28 54 27 59 13 10 8 12 7 28 Fiber per Serving 7 13 16 10 10.7 8 12 7 14 7 8 8 Fiber per Cup 53 53 67 43 48 56 54 54 78.3 cup to 4 cups. Converting price and fiber content to Calculate the value of the correlation coefficient for this new data set. (Round your answer to four decimal places.) Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Cost per Serving r = 31 46 49 62 41 19 77 71 30 Cost per Cup 9.3 10 10 7 6.4 7 Fiber per Serving 12 7 9.6 10 8 10 7 8 7 12 12 8 47 46 49 62 32.8 Cost per Serving (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) 19 53 77 53 Interpret the value of the correlation coefficient. O There is a strong positive linear relationship between cost per serving and fiber per serving. ● There is a weak positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. There is a weak negative linear relationship between cost per serving and fiber per serving. 56.8 67 11/123 (b) The serving size differed for the different cereals, with serving sizes varying from "per cup" rather than "per serving" results in the accompanying data. 30 43 Fiber per Cost per Cup Cup 48 28 54 27 59 13 10 8 12 7 28 Fiber per Serving 7 13 16 10 10.7 8 12 7 14 7 8 8 Fiber per Cup 53 53 67 43 48 56 54 54 78.3 11/14 cup to 1 cups. Converting price and fiber content to Calculate the value of the correlation coefficient for this new data set. (Round your answer to four decimal places.) Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data?
Transcribed Image Text:The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Cost per Serving r = 31 46 49 62 41 19 77 71 30 Cost per Cup 9.3 10 10 7 6.4 7 Fiber per Serving 12 7 9.6 10 8 10 7 8 7 12 12 8 47 46 49 62 32.8 Cost per Serving (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) 19 53 77 53 Interpret the value of the correlation coefficient. O There is a strong positive linear relationship between cost per serving and fiber per serving. ● There is a weak positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. There is a weak negative linear relationship between cost per serving and fiber per serving. 56.8 67 11/123 (b) The serving size differed for the different cereals, with serving sizes varying from "per cup" rather than "per serving" results in the accompanying data. 30 43 Fiber per Cost per Cup Cup 48 28 54 27 59 13 10 8 12 7 28 Fiber per Serving 7 13 16 10 10.7 8 12 7 14 7 8 8 Fiber per Cup 53 53 67 43 48 56 54 54 78.3 11/14 cup to 1 cups. Converting price and fiber content to Calculate the value of the correlation coefficient for this new data set. (Round your answer to four decimal places.) Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data?
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