Question

In: Statistics and Probability

Most of us love a bowl of cereal every now and then. Some common cereal brands...

Most of us love a bowl of cereal every now and then. Some common cereal brands with calories and fat per grams per serving are given in the table below. Is a cereal's calorie content determined by it's fat content?A. Draw the scatterplot for the variables b. Describe the relationship, if any, shown by the scatterplot.c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot?

Cereal:                            Calories(per serving):            Fat (per gram):

Almond Delight                    110                                        2                

Apple Jacks                           110                                       2

Bran Chex                             90                                       1

Cap n Crunch                       120                                       2

Cheerios                                110                                        2

Cinnamon Toast Crunch           120                                   3

Corn Flakes                            100                                      0

Honey Nut Cheerios               110                                       1

Honeycomb                             110                                     0

Lucky Charms                          110                                      1

Special K                                 110                                      0

Grape nuts                                110                                     0

Cocoa puffs                              110                                     1

Corn pops                                 110                                     0

Frosted Flakes                         110                                       0

Froot Loops                              110                                      1

Solutions

Expert Solution

Most of us love a bowl of cereal every now and then. Some common cereal brands with calories and fat per grams per serving are given in the table below. Is a cereal's calorie content determined by it's fat content?

A. Draw the scatterplot for the variables

b. Describe the relationship, if any, shown by the scatterplot.

The plot shows that there is a positive relation between calories and fat.

c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot?

Excel used for calculation.

Correlation Matrix

Calories

Fat

Calories

1.0000

0.4059

Fat

0.4059

1.0000

16

sample size

± .497

critical value .05 (two-tail)

± .623

critical value .01 (two-tail)

The correlation coefficient r=0.4059. The correlation is positive. This confirms the results of the scatterplot.


Related Solutions

Most of us love a bowl of cereal every now and then. Some common cereal brands...
Most of us love a bowl of cereal every now and then. Some common cereal brands with calories and fat per grams per serving are given in the table below. Is a cereal's calorie content determined by it's fat content?A. Draw the scatterplot for the variables b. Describe the relationship, if any, shown by the scatterplot.c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot? Cereal:                            Calories(per serving):            Fat (per...
From 1979 to 1987, Kellogg introduced the following brands of cereal: Graham Crackos; Most; Honey &...
From 1979 to 1987, Kellogg introduced the following brands of cereal: Graham Crackos; Most; Honey & Nut Corn Flakes; Raisins, Rice & Rye; Banana Frosted Flakes; Apple Frosted Mini Wheats; Nutri-Grain; Fruity Marshmallow Krispies; Strawberry Krispies; Crispix; Cracklin’ Oat Bran; C-3PO; Apple Raisin Crisp; Fruitful Bran; OJ’s; Raisin Squares; Just Right/Nugget & Flake; All Bran with Extra Fiber; Apple Cinnamon Squares; All Bran Fruit & Almonds; Strawberry Squares; Pro Grain; Mueslix; Nutri-Grain Nuggets; and Nutrific. a. Should the Antitrust Division...
What are common zoonotic infections in the US, and where are they most prevalent?
What are common zoonotic infections in the US, and where are they most prevalent?
By now most of us are familiar with Uber's pricing model. Similar pricing models are beginning...
By now most of us are familiar with Uber's pricing model. Similar pricing models are beginning to be employed by other industries. Suggest a business or industry that you believe would benefit from an Uber-style pricing model. Explain why you think that particular industry would be appropriate for such a pricing model.
Atrial fibrillation is the most common dysrhythmia treated in the US. Warfarin, enoxaparin, and rivaroxaban are...
Atrial fibrillation is the most common dysrhythmia treated in the US. Warfarin, enoxaparin, and rivaroxaban are all used at-home care for patients who have or at risk of developing atrial fibrillation. A) Why are the most commonly used medications for treating patients with a-fib not antidysrhythmic drugs (i.e., they are not intended to alter the rhythmicity of the heart)? B) What are the notable differences in patient education a nurse should provide to patients discharged with prescriptions for warfarin, enoxaparin,...
what are some of the most common clinical and pathological manifestations of human immunity
what are some of the most common clinical and pathological manifestations of human immunity
Some banks now have biweekly mortgages (that is, with payments every other week). Compare a 20-year,...
Some banks now have biweekly mortgages (that is, with payments every other week). Compare a 20-year, $120,000 loan at 9.3% by finding the payment size and the total interest paid over the life of the loan under each of the following conditions. (Round your answers to the nearest cent.) (a) Payments are monthly, and the rate is 9.3%, compounded monthly. Payment size $_______________ total interest $______________ (b) Payments are biweekly, and the rate is 9.3%, compounded biweekly. (Assume a standard...
There Are some politicians who have called for the US to have a VAT like most...
There Are some politicians who have called for the US to have a VAT like most of europe does. what is a VAT, how does it work, should the US implement one? why would a politician like a VAT
Explain how patterns of communication differ in some of the most common familial relationships.
Explain how patterns of communication differ in some of the most common familial relationships.
5. Discuss some of the most common methods of Water Disinfection with their merits, and demerits.
5. Discuss some of the most common methods of Water Disinfection with their merits, and demerits.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT