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 35 46 49 62 41 r = 19 77 71 30 9.3 10 10 7 6.4 7 Fiber per Serving 12 7 9.6 10 8 10 7 8 7 12 12 8 USE SALT 49 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 Fiber per Serving Serving 13 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. O There is a weak negative linear relationship between cost per serving and fiber per serving. O 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. 77 53 (b) The serving size differed for the different cereals, with serving sizes varying from cup to 1½ cups. Converting price and fiber content to "per cup" rather than "p Cost per Fiber per Cup Cup Cost per Fiber per Cup Cup 53 56.8 30 67 43 48 28 54 27 54 13 10 8 12 N 7 28 10 7 8 16 12 10.7 7 14 7 8 8 53 67 43 48 56 54 54 73.3 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? O The correlation coefficient for the per cup data is greater than the correlation coefficient for the per serving data. O The correlation coefficients are the same. O The correlation coefficient for the per cup data is 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 35 46 49 62 41 r = 19 77 71 30 9.3 10 10 7 6.4 7 Fiber per Serving 12 7 9.6 10 8 10 7 8 7 12 12 8 USE SALT 49 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 Fiber per Serving Serving 13 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. O There is a weak negative linear relationship between cost per serving and fiber per serving. O 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. 77 53 (b) The serving size differed for the different cereals, with serving sizes varying from cup to 1½ cups. Converting price and fiber content to "per cup" rather than "p Cost per Fiber per Cup Cup Cost per Fiber per Cup Cup 53 56.8 30 67 43 48 28 54 27 54 13 10 8 12 N 7 28 10 7 8 16 12 10.7 7 14 7 8 8 53 67 43 48 56 54 54 73.3 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? O The correlation coefficient for the per cup data is greater than the correlation coefficient for the per serving data. O The correlation coefficients are the same. O The correlation coefficient for the per cup data is less than the correlation coefficient for the per serving data.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 16E
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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
Fiber per
Serving
Cost per
Serving
Fiber per
Serving
r =
35
46
49
62
r =
41
19
77
71
30
9.3
10
10
7
6.4
7
7
10
12
10
9.6
7
8
8
Cost per Fiber per
Cup
Cup
7
12
12
8
USE SALT
49
46
49
(a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.)
62
32.8
Interpret the value of the correlation coefficient.
O There is a strong positive 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.
O 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.
19
53
(b) The serving size differed for the different cereals, with serving sizes varying from
77
53
56.8
67
30
43
48
28
54
27
54
13
10
8
12
7
13
28
10
7
8
16
12
Cost per Fiber per
Cup
Cup
10.7
7
14
7
8
8
53
53
67
43
48
56
54
54
73.3
1
cup to:
1 cups. Converting price and fiber content to "per cup" rather than "per serving" results in the accompanying data.
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?
O The correlation coefficient for the per cup data is greater than the correlation coefficient for the per serving data.
O The correlation coefficients are the same.
O The correlation coefficient for the per cup data is less than the correlation coefficient for the per serving data.
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