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Category > Computer Science Posted 27 Apr 2017 My Price 15.00

Does the simple linear regression model

13.43 ● The shelf life of packaged food depends on many factors. Dry cereal is considered to be a moisture-sensitive product (no one likes soggy cereal!) with the shelf life determined primarily by moisture content. In a study of the shelf life of one particular brand of cereal, x = time on shelf (stored at 73°F and 50% relative humidity) and

y = moisture content were recorded. The resulting data

Snout-Vent Length

32

53

53

53

54

are from “Comp

uter Simulation Speed

s Shelf

Life As

sess-

Clutch Size

45

215

160

170

190

ments” (Package

Engineering [

1983]:

72–73).

 

 

Snout-Vent Length

57

57

58

58

59

x

0

3

6

8

10

13

16

Clutch Size

200

270

175

245

215

y

2.8

3.0

3.1

3.2

3.4

3.4

3.5

Snout-Vent Length

63

63

64

67

 

x

20

24

27

30

34

37

41

Clutch Size

170

240

245

280

 

y

3.1

3.8

4.0

4.1

4.3

4.4

4.9

 

a.    Summary quantities are

a x = 269          a y = 51          a xy = 1081.5

a y2 = 7745          a x2 = 190.78

Find the equation of the estimated regression line for pre- dicting moisture content from time on the shelf.

b.    Does the simple linear regression model provide useful information for predicting moisture content from knowl- edge of shelf time?

c.    Find a 95% interval for the moisture content of an indi- vidual box of cereal that has been on the shelf 30 days.

d.    According to the article, taste tests indicate that this brand of cereal is unacceptably soggy when the moisture content exceeds 4.1. Based on your interval in Part (c), do you think that a box of cereal that has been on the  shelf 30 days will be acceptable? Explain.

Answers

Alpha Geek
(8)
Status NEW Posted 27 Apr 2017 08:04 AM My Price 15.00

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file 1493281770-Answer.docx preview (310 words )
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