Question
In: Statistics and Probability
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.)
Solutions
Expert Solution
b)
| X | Y | X⋅Y | X⋅X | Y⋅Y |
| 260 | 10.7 | 2782 | 67600 | 114.49 |
| 300 | 3.0 | 900 | 90000 | 9 |
| 310 | 16.5 | 5115 | 96100 | 272.25 |
| 320 | 20.3 | 6496 | 102400 | 412.09 |
| 420 | 16.0 | 6720 | 176400 | 256 |
| 450 | 21.4 | 9630 | 202500 | 457.96 |
| 470 | 19.8 | 9306 | 220900 | 392.04 |
therefore r=0.620
orchestra answered 1 year agoRelated 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
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?...
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...
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