The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals.   Product Calories Sugar   A 270270 8.08.0 B 310310 6.26.2 C 330330 22.722.7 D 440440 27.127.1 E 480480 18.318.3 F 530530 25.925.9 G 550550 21.721.7   Use the data above to complete parts​ (a) through​ (d).   a. Compute the covariance.   b. Compute the coefficient of correlation. c. Which do you think is more valuable in expressing the relationship between calories and sugar—the  covariance or the coefficient of​ correlation? Explain.   d. What conclusions can you reach about the relationship between calories and​ sugar?

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
Sugar
 
A
270270
8.08.0
B
310310
6.26.2
C
330330
22.722.7
D
440440
27.127.1
E
480480
18.318.3
F
530530
25.925.9
G
550550
21.721.7
 
Use the data above to complete parts​ (a) through​ (d).
 
a. Compute the covariance.
 
b. Compute the coefficient of correlation.

c. Which do you think is more valuable in expressing the relationship between calories and sugar—the  covariance or the coefficient of​ correlation? Explain.
 
d. What conclusions can you reach about the relationship between calories and​ sugar?
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