Question

In: Math

The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals. Product Calories...

The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals.

Product

Calories

Sugar

A

350

9.7

B

410

4.5

C

430

24.0

D

490

25.0

E

540

22.6

F

550

24.7

G

590

22.2

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?

Solutions

Expert Solution

C. Co variance

D. The correlation coefficient values is inferring a moderate linear relationship between the given two variables.While the covariance determine the relationship and measures the dependency between two random variables.


Related Solutions

The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals. Product Calories...
The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals. Product Calories Sugar A 260 10.7 B 300 3.0 C 310 16.5 D 320 20.3 E 420 16.0 F 450 21.4 G 470 19.8 Use the data above to complete parts​ (a) through​ (d). a. Compute the covariance. ​(Round to three decimal places as​ needed.)
The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals. Product Calories...
The following data represent the calories and​ sugar, in​ grams, of various breakfast cereals. Product Calories Sugar A 270 10.0 B 280 3.8 C 290 21.2 D 410 23.4 E 520 19.8 F 530 23.9 G 550 17.7 Use the data above to complete parts​ (a) through​ (d). Compute the covariance. b. Compute the coefficient of correlation. c. Which do you think is more valuable in expressing the relationship between calories and sugarlong dash—the covariance or the coefficient of correlation?...
The file Cereals contains the calories and sugar, in grams, in one serving of seven breakfast...
The file Cereals contains the calories and sugar, in grams, in one serving of seven breakfast cereals: Cereal                                                             Calories                             Sugar Kellogg’s all Bran                                         80                                       6 Kellogg’s Corn Flakes                                  100                                     2 Wheaties                                                        100                                     4 Nature’s path Organic Multigrain Flakes 110                                     4 Kellogg’s rice Krispies                                 130                                     4 Post Shredded Wheat Vanilla almond       190                                     11 Kellogg’s Mini Wheats                                200                                     10 a. Compute and interpret the coefficient of correlation, r. b. at the 0.05 level of...
The data in the table to the right represent the calories and sugar​ (in grams) in...
The data in the table to the right represent the calories and sugar​ (in grams) in one serving of seven different types of breakfast cereals. a. Compute and interpret the coefficient of​ correlation, r. b. At the 0.05 level of​ significance, is there a significant linear relationship between calories and​ sugar? Product   Calories   Sugar Cereal 1   75               6 Cereal 2   105           1 Cereal 3   104          4 Cereal 4   114          5 Cereal 5   126          5 Cereal 6   189  ...
Sugar content (in grams per serving) of 18 fiber cereals is given below. Determine the five-number...
Sugar content (in grams per serving) of 18 fiber cereals is given below. Determine the five-number summary for this data set. (don’t round results) 11, 6, 14, 13, 0, 18, 9, 10, 19, 6, 10, 17, 10, 10, 0, 9, 5, 11 min Q1 Q2 Q3 max
A single random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected.
Question 1   A single random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.295 gram and a standard deviation of 0.168 gram. The amount of sugar in all cereals is assumed to be normally distributed. Construct a 95% confidence interval estimate of the population mean. Degrees of freedom =                           ...
The data on the left contains nutrition information on the number of Calories and grams of...
The data on the left contains nutrition information on the number of Calories and grams of carbohydrates for 58 sandwiches and similar items on McDonald's menu. 1:) A. Run a regression of Calories (y-variable) on Carbs (x-variable). Be sure to include the scatterplot with the least squares line. B. Interpret the slope of the regression in the context of the problem. C. Interpret the R-square in the context of the problem. D. Predict the number of calories for an item...
The following data represents the calories and fat (in grams) of 16-ounce iced coffee drinks at...
The following data represents the calories and fat (in grams) of 16-ounce iced coffee drinks at Dunkin’ Donuts and Starbucks: Product Calories Fat Dunkin Donuts Iced Mocha Swirl latte (whole milk) 240 8 Starbucks Coffee Frappuccino blended coffee 260 3.5 Dunkin Donuts Coffee Coolatta (cream) 350 22 Starbucks Iced Coffee Mocha Expresso (whole milk and whipped cream) 350 20 Starbucks Mocha Frappuccino blended coffee (whipped cream) 420 16 Starbucks Chocolate Brownie Frappuccino blended coffee (whipped cream) 510 22 Starbucks Chocolate...
The data below represents the amount of grams of carbohydrates in a sample serving of breakfast...
The data below represents the amount of grams of carbohydrates in a sample serving of breakfast cereal. 10 18 24 30 19 22 24 20 18 25 20 22 19 what is the variance?
If a product contains 100 calories and 5 grams of fat per serving, what is the...
If a product contains 100 calories and 5 grams of fat per serving, what is the percentage of calories from fat in the product? A. 35% B. 45% C. 5% D. 20% 1 points    QUESTION 2 Solid fats generally have a high proportion of what type of fatty acids? A. Saturated B. Unsaturated C. Monounsaturated D. Polyunsaturated 1 points    QUESTION 3 The lifestyle management techniques recommended by the American Heart Association and the American College of Cardiology include...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT