Question
In: Statistics and Probability
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
10
Cereal 7
198 11
c) find t stat and P value and interpret.
Solutions
Expert Solution
INTERPRETATION:
The sign of the correlation coefficient represents the direction of the relationship. Positive coefficients indicate that when the value of one variable increases, the value of the other variable also tends to increase. In this case, sign of correlation is positive, it means that as the sugar content in cereal increases, calories increases. In this case magnitude of correlation coefficient is 0.8083 indicating strong correlation between sugar and calories.
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
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
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 to the right represent the number of customers waiting for a table at?6:00 P.M....
The data to the right represent the
number of customers waiting for a table at?6:00 P.M. for
40 consecutive Saturdays at? Bobak's Restaurant. Complete
parts?(a) through? (h) below.
5
9
3
4
9
5
4
3
11
10
4
6
2
5
3
7
7
11
6
2
6
4
5
8
13
10
8
2
7
5
5
10
6
10
4
6
3
5
8
4
Number of Customers
Frequency
1–3
7
4–6
18
7-9
8
10–12
6...
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 table gives information on the amount of sugar (in grams) and the calorie count...
The following table gives information on the amount of sugar (in
grams) and the calorie count in one serving of a sample of 13
varieties of Kellogg’s cereal. Calories is the dependent variable.
Calculate the r-sqr, correlation coefficient, and explain each
value.
Index
1
2
3
4
5
6
7
8
9
10
11
12
13
Sugar (grams)
4
15
12
11
8
6
7
2
7
14
20
3
13
Calories
120
200
140
110
120
80
190
100...
The following table gives information on the amount of sugar (in grams) and the calorie count...
The following table gives information on the amount of sugar (in
grams) and the calorie count in one serving of a sample of 13
varieties of Kellogg's cereal. Sugar (grams) 5 15 12 11 8 6 7 2 7
14 20 5 13 Calories 130 200 160 110 130 80 210 120 120 190 190 110
120 Find the predictive regression equation of the number of
calories on the amount of sugar. Carry out all calculations
exactly, and round the...
The following table gives information on the amount of sugar (in grams) and the calorie count...
The following table gives information on the amount of sugar (in
grams) and the calorie count in one serving of a sample of 13
varieties of Kellogg’s cereal. Calories is the dependent variable.
Calculate the r-sqr, correlation coefficient, and explain each
value.
Index 1 2 3 4 5 6 7 8 9 10 11 12 13
Sugar (grams) 4 15 12 11 8 6 7 2 7 14 20 3 13
Calories 120 200 140 110 120 80 190 100...
Suppose the data to the right represent the survival data for a certain ship that sank....
Suppose the data to the right represent the survival data for a
certain ship that sank. , The males are adult males and the females
are adult females. Complete parts (a) through (j).
Male
Female
Child
Total
Survived
294
335
71
720
Died
1198
113
53
1364
Total
1492
468
124
2084
(a) If a passenger is selected at random, what is the
probability that the passenger survived?
nothing
(Round to three decimal places as needed.)
(b) If a passenger...
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