11.82 Researchers measured the specific activity of the enzyme sucrase extracted from portions of the intestines of 24 patients who underwent an intestinal bypass. After the sections were extracted, they were homogenized and analyzed for enzyme activity (Carter, 1981). Two different methods can be used to measure the activity of sucrase: the homogenate method and the pellet method. Data for the 24 patients are shown here for the two methods: Sucrase Activity as Measured by the Homogenate and Pellet Methods Patient Homogenate Method, y Pellet Method, x 1 18.88 70.00 2 7 .26 55.43 3 6.50 18.87 4 9.83 40.41 5 46.05 57 .43 6 20.10 31.14 7 35.78 70.10 8 59.42 137 .56 9 58.43 221.20 10 62.32 276.43 11 88.53 316.00 12 19.50 75.56 13 60.78 277 .30 14 77 .92 331.50 15 51.29 133.74 16 77 .91 221.50 17 36.65 132.93 18 31.17 85.38 19 66.09 142.34 20 115.15 294.63 21 95.88 262.52 22 64.61 183.56 23 37 .71 86.12 24 100.82 226.55 a. Produce a scatterplot of the data. Might a linear model adequately describe the relationship between the two methods? b. Produce a residual plot. Are there any potential problems uncovered by the plot? c. In general, the pellet method is more time consuming than the homogenate method, yet it provides a more accurate measure of sucrase activity. How might you estimate the pellet reading based on a particular homogenate reading? d. How would you develop a confidence (prediction) interval about your point estimate?

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Description: 11.82 Researchers measured the specific activity of the enzyme sucrase extracted from portions of the intestines of 24 patients who underwent an intestinal bypass. After the sections were extracted, they were homogenized and analyzed for enzyme activ

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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11.82 Researchers measured the specific activity of the enzyme sucrase extracted from portions of the intestines of 24 patients who underwent an intestinal bypass. After the sections were extracted, they were homogenized and analyzed for enzyme activity (Carter, 1981). Two different methods can be used to measure the activity of sucrase: the homogenate method and the pellet method. Data for the 24 patients are shown here for the two methods:

Sucrase Activity as Measured by the Homogenate and
Pellet Methods
Patient Homogenate Method, y Pellet Method, x
1 18.88 70.00
2 7 .26 55.43
3 6.50 18.87
4 9.83 40.41
5 46.05 57 .43
6 20.10 31.14
7 35.78 70.10
8 59.42 137 .56
9 58.43 221.20
10 62.32 276.43

11 88.53 316.00
12 19.50 75.56
13 60.78 277 .30
14 77 .92 331.50
15 51.29 133.74
16 77 .91 221.50
17 36.65 132.93
18 31.17 85.38
19 66.09 142.34
20 115.15 294.63
21 95.88 262.52
22 64.61 183.56
23 37 .71 86.12
24 100.82 226.55
a. Produce a scatterplot of the data. Might a linear model adequately describe the relationship between the two methods?
b. Produce a residual plot. Are there any potential problems uncovered by the plot?
c. In general, the pellet method is more time consuming than the homogenate method, yet it provides a more accurate measure of sucrase activity. How might you estimate the pellet reading based on a particular homogenate reading?
d. How would you develop a confidence (prediction) interval about your point estimate?

Sucrase Activity as Measured by the Homogenate
and Pellet Methods
Patient
Homogenate Method, y
Pellet Method, x
11
88.53
316.00
12
19.50
75.56
13
60.78
277.30
14
77.92
331.50
15
51.29
133.74
16
77.91
221.50
17
36.65
132.93
18
31.17
85.38
19
66.09
142.34
20
115.15
294.63
21
95.88
262.52
22
64.61
183.56
23
37.71
86.12
24
100.82
226.55
a. Produce a scatterplot of the data. Might a linear model adequately describe the
relationship between the two methods?
b. Produce a residual plot. Are there any potential problems uncovered by the plot?
c. In general, the pellet method is more time consuming than the homogenate
method, yet it provides a more accurate measure of sucrase activity. How might
you estimate the pellet reading based on a particular homogenate reading?
d. How would you develop a confidence (prediction) interval about your point
estimate?

11.82 Researchers measured the specific activity of the enzyme sucrase extracted from portions
of the intestines of 24 patients who underwent an intestinal bypass. After the sections were
extracted, they were homogenized and analyzed for enzyme activity (Carter, 1981). Two different
methods can be used to measure the activity of sucrase: the homogenate method and the pellet
method. Data for the 24 patients are shown here for the two methods:
Sucrase Activity as Measured by the Homogenate and
Pellet Methods
Patient
Homogenate Method, y
Pellet Method, x
1
18.88
70.00
2
7.26
55.43
3
6.50
18.87
4
9.83
40.41
5
46.05
57.43
6.
20.10
31.14
7
35.78
70.10
8
59.42
137.56
9.
58.43
221.20
10
62.32
276.43
(continued)

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