The following data represent the calories and fat, in grams, of various 16-ounce iced coffee drinks. a. Compute the sample covariance. (Round to three decimal places as needed.) Product Calories Fat 240 9.0 b. Compute the coefficient of correlation. 290 3.9 350 22.0 380 21.7 (Round to three decimal places as needed.) 490 17,7 c. Which do you think is more valuable in expressing the relationship between calories and fat-the covariance or the coefficient of correlation? Explain. F 520 20.4 G 600 19.5 O A. The correlation is more valuable. It can be used to determine the relative strength of a linear relationship. Use the data above to complete parts (a) to (d) O B. The correlation is more valuable. It is the better measure for positive relationships. O C. The covariance is more valuable. It is an exact measure of the strength of a linear relationship.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data represent the calories and fat, in grams, of various 16-ounce
a. Compute the sample covariance.
iced coffee drinks.
(Round to three decimal places as needed.)
Product
Calories
Fat
A
240
9.0
b. Compute the coefficient of correlation.
B
290
3.9
350
22.0
(Round to three decimal places as needed.)
21.7
17.7
20.4
D
380
490
520
600
c. Which do you think is more valuable in expressing the relationship between
calories and fat-the covariance or the coefficient of correlation? Explain.
F
G
19.5
O A. The correlation is more valuable. It can be used to determine the
relative strength of a linear relationship.
Use the data above to complete parts (a) to (d).
O B. The correlation is more valuable. It is the better measure for positive
relationships.
OC. The covariance is more valuable. It is an exact measure of the strength
of a linear relationship.
d. What conclusions can you reach about the relationship between calories and
fat?
O A. The correlation shows a nearly perfect positive relationship.
O B. The covariance indicates a large variance in both calories and fat.
O C. The covariance shows a very strong positive relationship. If calories
increase, so will fat.
O D. The correlation indicates a moderate positive relationship. As calories
increase, fat tends to increase.
Transcribed Image Text:The following data represent the calories and fat, in grams, of various 16-ounce a. Compute the sample covariance. iced coffee drinks. (Round to three decimal places as needed.) Product Calories Fat A 240 9.0 b. Compute the coefficient of correlation. B 290 3.9 350 22.0 (Round to three decimal places as needed.) 21.7 17.7 20.4 D 380 490 520 600 c. Which do you think is more valuable in expressing the relationship between calories and fat-the covariance or the coefficient of correlation? Explain. F G 19.5 O A. The correlation is more valuable. It can be used to determine the relative strength of a linear relationship. Use the data above to complete parts (a) to (d). O B. The correlation is more valuable. It is the better measure for positive relationships. OC. The covariance is more valuable. It is an exact measure of the strength of a linear relationship. d. What conclusions can you reach about the relationship between calories and fat? O A. The correlation shows a nearly perfect positive relationship. O B. The covariance indicates a large variance in both calories and fat. O C. The covariance shows a very strong positive relationship. If calories increase, so will fat. O D. The correlation indicates a moderate positive relationship. As calories increase, fat tends to increase.
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