Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Textbook Question
Chapter 5, Problem 64CR
No tortilla chip lover likes soggy chips, so it is important to find characteristics of the production process that produce chips with an appealing texture. The accompanying data on x = Frying time (in seconds) and y = Moisture content (%) appeared in the paper, “Thermal and Physical Properties of Tortilla Chips as a
- a. Construct a
scatterplot of these data. Does the relationship between moisture content and frying time appear to be linear? - b. Transform they values using y′ = log(y) and construct a scatterplot of the (x, y′) pairs. Does this scatterplot look more nearly linear than the one in Part (a)?
- c. Find the equation of the least-squares line that describes the relationship between y′ and x.
- d. Use the least-squares line from Part (c) to predict moisture content for a frying time of 35 minutes.
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Jet Efflux Velocity (m/s)
Nozzle Design
11.73
14.37
16.59
20.43
23.46
28.74
1
0.78
0.80
0.81
0.75
0.77
0.78
2
0.85
0.85
0.92
0.86
0.81
0.83
3
0.93
0.92
0.95
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1) Write the null hypothesis and the alternative hypothesis (for the factor).
2) Find the ANOVA table. (round to five decimal places).
3) What is your decision about the null hypothesis, consider ?.
4) If your decision in part (4) was reject , perform Tukey test to determine which pairwise means are…
No tortilla chip aficionado likes soggy chips, so it is important to find characteristics of the production process that produce chips with an appealing texture. The following data on x = frying time (sec) and y = moisture content (%) appeared in an article.
x 5 10
15 20 25 30 45 60
y 16.4 9.7 8.1 4.2 3.3 2.8 2.0 1.2
(a) Construct a scatter plot of y versus x.
y
15
10-
5
y
15
O
10
10 20 30 40 50
5
10
20
10
NE
X
50
60
30
60
40
X
15
y
10
O
5
O
y
15
10 20 30 40 50 60
10 20 30
Comment.
The plot has a curved pattern. A linear model would not be appropriate.
O The plot has a curved pattern. A linear model would be appropriate.
O The plot does not have a curved pattern. A linear model would be appropriate.
O The plot does not have a curved pattern. A linear model would not be appropriate.
40
50
60
X
X
Chapter 5 Solutions
Introduction to Statistics and Data Analysis
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