Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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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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Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle
resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with
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x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651
y 334 342 355 363
365 372 381 392
400 412 420
Here is regression output from Minitab:
Predictor
Constant
absorb
S = 3.60498
Coef
321.878
156.711
SOURCE
Regression
Residual Error
Total
SE Coef
2.483
6.464
R-Sq = 98.5%
DF
1
9
10
SS
7639.0
117.0
7756.0
T
129.64
24.24
0.000
0.000
R-Sq (adj) = 98.3%
MS
7639.0
13.0
F
P
587.81
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94.24
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66.57
4961.7
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10275.5
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6616.9
40.00
7459.5
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17.96
3420.2
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0.75
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0.85
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0.93
0.92
0.95
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4
1.14
0.97
0.98
0.88
0.86
0.83
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0.97
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0.78
0.76
0.76
0.75
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Introduction to Statistics and Data Analysis
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