The following data represent the calories and sugar, in grams, of various breakfast cereals. a. Compute the covariance. Product Calories Sugar D 7.7 A 230 B 300 (Round to three decimal places as needed.) 3.0 27.1 C 400 D b. Compute the coefficient of correlation 23,9 21.7 470 490 500 F 19.6 r= 570 21.4 (Round to three decimal places as needed.) c. Which do you think is more valuable in expressing the relationship between calories and sugar-the covariance or the coefficient of correlation? Explain. Use the data above to complete parts (a) through (d). O A. The covariance is more valuable. It is an exact measure of the strength of a linear relationship. O B. The covariance is more valuable. It is not susceptible to the negative effects of lurking variables. O C. The correlation is more valuable. It can be used to determine the relative strength of a linear relationship. O D. The correlation is more valuable. It is the better measure for positive relationships d. What conclusions can you reach about the relationship between calories and sugar? O Time Remaining: 00:58:45 Next View instructor tip 6:08 PM 76°F 2/17/2022 18 P Type here to search 运

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data represent the calories and sugar, in grams, of various breakfast cereals.
Product
Calories
a. Compute the covariance.
Sugar
7.7
230
300
3.0
(Round to three decimal places as needed.)
400
27.1
23,9
21.7
19.6
470
b. Compute the coefficient of correlation.
490
500
570
21.4
(Round to three decimal places as needed.)
Use the data above to complete parts (a) through (d).
c. Which do you think is more valuable in expressing the relationship between calories and
sugar-the covariance or the coefficient of correlation? Explain.
O A. The covariance is more valuable. It is an exact measure of the strength of a linear
relationship.
O B. The covariance is more valuable. It is not susceptible to the negative effects of lurking
variables.
OC. The correlation is more valuable. It can be used to determine the relative strength of a
linear relationship.
O D. The correlation is more valuable. It is the better measure for positive relationships.
d. What conclusions can you reach about the relationship between calories and sugar?
View instructor tip
O Time Remaining: 00:58:45
Next
608 PM
76°F
O Type here to search
2/17/2022
ert
144
esc
%23
$4
7
@
2
3.
Y.
R T
tab
Transcribed Image Text:The following data represent the calories and sugar, in grams, of various breakfast cereals. Product Calories a. Compute the covariance. Sugar 7.7 230 300 3.0 (Round to three decimal places as needed.) 400 27.1 23,9 21.7 19.6 470 b. Compute the coefficient of correlation. 490 500 570 21.4 (Round to three decimal places as needed.) Use the data above to complete parts (a) through (d). c. Which do you think is more valuable in expressing the relationship between calories and sugar-the covariance or the coefficient of correlation? Explain. O A. The covariance is more valuable. It is an exact measure of the strength of a linear relationship. O B. The covariance is more valuable. It is not susceptible to the negative effects of lurking variables. OC. The correlation is more valuable. It can be used to determine the relative strength of a linear relationship. O D. The correlation is more valuable. It is the better measure for positive relationships. d. What conclusions can you reach about the relationship between calories and sugar? View instructor tip O Time Remaining: 00:58:45 Next 608 PM 76°F O Type here to search 2/17/2022 ert 144 esc %23 $4 7 @ 2 3. Y. R T tab
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