The following data represent the calories and sugar, in grams, of various breakfast cereals. Product Calories Sugar A 320 9.7 B 370 2.0 C 440 29.7 D 490 31.0 E 500 21.0 F 570 25.6 G 580 18.8 Use the data above to complete parts (a) through (d). ... Question content area right Part 1 a. Compute the covariance. enter your response here (Round to three decimal places as needed.) Part 2 b. Compute the coefficient of correlation. r=enter your response here (Round to three decimal places as needed.) Part 3 c. Which do you think is more valuable in expressing the relationship between calories and sugar—the covariance or the coefficient of correlation? Explain. A. The correlation is more valuable. It is the better measure for positive relationships. B. The correlation is more valuable. It can be used to determine the relative strength of a linear relationship. C. The covariance is more valuable. It is not susceptible to the negative effects of lurking variables. D. The covariance is more valuable. It is an exact measure of the strength of a linear relationship. Part 4 d. What conclusions can you reach about the relationship between calories and sugar? A. The correlation shows a nearly perfect positive relationship. B. The covariance indicates a large variance in both calories and sugar. C. The covariance shows a very strong negative relationship. If calories increase, sugar will decrease. D. The correlation indicates a moderate positive relationship. As calories increase, sugar tends to increase.
The following data represent the calories and sugar, in grams, of various breakfast cereals.
|
Product
|
Calories
|
Sugar
|
|
|---|---|---|---|
|
A
|
320
|
9.7
|
|
|
B
|
370
|
2.0
|
|
|
C
|
440
|
29.7
|
|
|
D
|
490
|
31.0
|
|
|
E
|
500
|
21.0
|
|
|
F
|
570
|
25.6
|
|
|
G
|
580
|
18.8
|
Use the data above to complete parts (a) through (d).
...
Question content area right
Part 1
a. Compute the
enter your response here
(Round to three decimal places as needed.)
Part 2
b. Compute the coefficient of
r=enter your response here
(Round to three decimal places as needed.)
Part 3
c. Which do you think is more valuable in expressing the relationship between calories and
sugar—the
covariance or the coefficient of correlation? Explain.
A.
The correlation is more valuable. It is the better measure for positive relationships.
B.
The correlation is more valuable. It can be used to determine the relative strength of a linear relationship.
C.
The covariance is more valuable. It is not susceptible to the negative effects of lurking variables.
D.
The covariance is more valuable. It is an exact measure of the strength of a linear relationship.
Part 4
d. What conclusions can you reach about the relationship between calories and sugar?
A.
The correlation shows a nearly perfect positive relationship.
B.
The covariance indicates a large variance in both calories and sugar.
C.
The covariance shows a very strong negative relationship. If calories increase, sugar will decrease.
D.
The correlation indicates a moderate positive relationship. As calories increase, sugar tends to increase.
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