Tox Hw 2
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Feb 20, 2024
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Dose (mg/L)
Number dead
(out of 20)
%
log dose
probit
0
0
0
0
0
5
1
5
0.69897
3.355
10
3
15
1
3.963
50
11
55
1.69897
5.125
100
15
75
2
5.675
300
18
90 2.47712125
6.28
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
0
1
2
3
4
5
6
7
f(x) = 1.65780545599479 x + 2.26853609425121
R² = 0.99562357131129
Chart Title
Dose (mg/L)
number dead (out of 20)
%
log dose
probit
0
0
0
0
0
1
1
5
0
3.355
10
4
20
1
4.16
100
12
60
2
5.253
1000
17
85
3
6.037
5000
19
95
3.69897
6.645
0
0.5
1
1.5
2
2.5
3
3.5
4
0
1
2
3
4
5
6
7
f(x) = 0.900829985081296 x + 3.34257539913801
Chart Title
Dose (mg)
Number responding
(out of 50)
%
log dose
0
5
10
Err:502
5
6
12
0.69897
10
4
8
1
25
5
10 1.39794001
50
18
36
1.69897
100
27
54
2
200
41
82
2.30103
500
48
96
2.69897
dose (mg)
Number responding (out of 25)
%
log dose
0
0
0
Err:502
1
1
4
0
10
5
20
1
50
13
52
1.69897
100
18
72
2
500
23
92
2.69897
Dose (mg)
Number responding
(out of 50)
%
log dose
0
5
10
Err:502
5
6
12
0.69897
10
4
8
1
25
10
20 1.39794001
50
18
36
1.69897
100
24
48
2
200
33
66
2.30103
500
39
78
2.69897
1.2
1.4
1.6
1.8
2
0
1
2
3
4
5
6
7
f(x) = 1.24221362535176 x + 2.4786961
Chart Title
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probit
-
-
-
3.72
4.64
5.1
5.917
6.75
probit
-
3.25
4.16
5.05
5.583
6.405
probit
-
-
-
4.16
4.64
4.95
5.413
5.773
1.2
1.4
1.6
1.8
2
2.2
2
0
1
2
3
4
5
6
7
8
f(x) = 2.28689564710147 x + 0.607284088415319
R² = 0.992904771205623
Chart Title
0
0.5
1
1.5
2
2.5
3
0
1
2
3
4
5
6
7
f(x) = 1.18809289609085 x + 3.1317120059981
Chart Title
2.2
2.4
2.6
2.8
16157815
e
2.4
2.6
2.8
Dose (µM)
Number of colonies
%
log dose
0
802
100
Err:502
0.25
800 99.7506
-0.6021
0.5
777 96.8828
-0.301
1
722 90.0249
0
2
488 60.8479 0.30103
4
256 31.9202 0.60206
8
96 11.9701 0.90309
18
16 1.99501 1.25527
0
0.24937656
3.11720698
9.97506234
39.1521197
68.0798005
88.0299252
98.0049875
-1
-0.5
0
0.5
1
0
1
2
3
4
5
6
7
8
f(x) = 2.61395991970962 x + 3.82801813620835
Chart Title
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probit
2.19
3.12
3.72
4.72
5.458
6.175
7.055
1.5
Control
before treatment
Subject #1
307
Subject #2
271
Subject #3
283
Subject #4
262
Subject #5
232
Subject #6
302
Subject #7
290
Subject #8
285
Subject #9
320
Subject #10
253
10 mg dose
before treatment
Subject #1
309
Subject #2
287
Subject #3
234
Subject #4
267
Subject #5
289
Subject #6
287
Subject #7
277
Subject #8
318
Subject #9
295
Subject #10
264
50 mg dose
before treatment
Subject #1
284
Subject #2
312
Subject #3
285
Subject #4
256
Subject #5
307
Subject #6
274
Subject #7
296
Subject #8
288
Subject #9
291
Subject #10
253
100 mg dose
before treatment
Subject #1
283
Subject #2
262
Subject #3
232
Subject #4
285
Subject #5
287
Subject #6
318
Subject #7
302
Subject #8
264
Subject #9
277
Subject #10
290
150 mg dose
before treatment
Subject #1
288
Subject #2
271
Subject #3
269
Subject #4
302
Subject #5
297
Subject #6
285
Subject #7
298
Subject #8
268
Subject #9
279
Subject #10
280
0
0
10
1
50
5
100
7
150
8
Control
Control
before treatment
after treatment
Subject #1
307
Subject #2
271
Subject #3
283
Subject #4
262
Subject #5
232
Subject #6
302
Subject #7
290
Subject #8
285
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Subject #9
320
Subject #10
253
10 mg dose
before treatment
Subject #1
309
Subject #2
287
Subject #3
234
Subject #4
267
Subject #5
289
Subject #6
287
Subject #7
277
Subject #8
318
Subject #9
295
Subject #10
264
50 mg dose
before treatment
Subject #1
284
Subject #2
312
Subject #3
285
Subject #4
256
Subject #5
307
Subject #6
274
Subject #7
296
Subject #8
288
Subject #9
291
Subject #10
253
100 mg dose
before treatment
Subject #1
283
Subject #2
262
Subject #3
232
Subject #4
285
Subject #5
287
Subject #6
318
Subject #7
302
Subject #8
264
Subject #9
277
Subject #10
290
150 mg dose
before treatment
Subject #1
288
Subject #2
271
Subject #3
269
Subject #4
302
Subject #5
297
Subject #6
285
Subject #7
298
Subject #8
268
Subject #9
279
Subject #10
280
Control
after treatment
312
267
285
252
238
289
277
274
317
261
10 mg dose
after treatment
298
293
223
256
285
261
270
310
287
267
50 mg dose
after treatment
261
290
273
245
273
268
287
254
278
228
100 mg dose
after treatment
271
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233
198
255
271
270
289
238
245
261
150 mg dose
after treatment
261
244
258
274
267
258
285
237
251
248
%
log dose
probit
0
Err:502
0
10
1
3.72
50
1.69897
5
70
2
5.525
80 2.17609126
5.84
312
0
0
267
10
1
285
50
5
252
100
7
238
150
8
289
277
274
0.8
1
1.2
0
1
2
3
4
5
6
7
f(x) = 1.80
R² = 0.999
317
261
10 mg dose
after treatment
298
293
223
256
285
261
270
310
287
267
50 mg dose
after treatment
261
290
273
245
273
268
287
254
278
228
100 mg dose
after treatment
271
233
198
255
271
270
289
238
245
261
150 mg dose
after treatment
261
244
258
274
267
258
285
237
251
248
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2
1.4
1.6
1.8
2
2.2
2.4
0293309006863 x + 1.92243113799552
9892453937359
Chart Title
con
number %
dose
probit
0
1
2
Err:502
0
0.1
4
8
-1
3.595
0.2
12
24
-0.69897
4.293
0.4
28
56 -0.39794001
5.15
0.8
44
88 -0.09691001
6.175
1.6
48
96 0.20411998
6.75
3.2
49
98 0.50514998
7.055
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.
0
1
2
3
4
5
6
7
8
f(x) = 2.43886469503502 x + 6.10643612360645
R² = 0.978035549313307
Chart Title
-2.5
0
1
2
Err:502
0
0.01
4
8
-2
3.595
0.03
12
24 -1.52287875
4.293
0.1
28
56
-1
5.15
0.3
44
88 -0.52287875
6.175
1
48
96
0
6.75
3
49
98 0.47712125
7.055
.4
0.6
-2
-1.5
-1
-0.5
0
0.5
1
0
1
2
3
4
5
6
7
8
f(x) = 1.47434056205255 x + 6.62562095262725
Chart Title
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Related Questions
Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for the initial-value problem and then fill in the following tables. (Round your answers to four decimal places. Percentages may be rounded to two decimal
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y' = y, y(0) = 1; y(1.0)
y(x) =
(explicit solution)
h = 0.1
Actual
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0.00
1.0000
1.0000
0.0000
0.00
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1.1025
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HW5
The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table:
Month
Temp.
Usage/1000
Month
Temp.
Usage/1000
Jan.
21
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July.
68
621.55
Feb.
24
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Aug.
74
675.06
Mar.
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288.03
Sept.
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562.03
Apr.
47
424.84
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452.93
May
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454.58
Nov.
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369.95
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Dec.
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Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of ?
What is the estimate of expected stem usage when the average temperature is 55 F?
What change in mean stem usage is expected when the monthly average temperature changes by 1 F?
Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual.
Test for significance of regression using α=0.01 (Use ANOVA).…
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worm infestation, commonly found in children, can be treated with a drug that is effective in 92% of cases. Suppose that three children with pinworm infestation are
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sfs
0.068
sff
0.006
fss
0.068
fsf
0.006
ffs
0.006
0.001
fff
(Round to three decimal places as needed.)
c. Draw a tree diagram for this problem. (Let s be a success and f be a failure.) Choose the correct tree diagram below.
A.
B.
SSS
ssf
f
sfs
sff
fss
fsf
ffs
fff
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View an exar
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y Policy | Copyright
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Observed time (minutes)
25.1
23.6
26.3
25.4
24.9
27
24.2
27.7
26.1
25.8
24.1
26.5
Given the following data, what is the standard time given that the pace rate is equal to 100 and the personal, delay and fatigue allowances
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Data
6
5.5
7.5
4.5
6.5
5
6
6.5
7
5.5
6
6.5
4.5
5
6.5
6.5
6.5
7.5
5.5
5.5
6
6
6
5.5
6.5
6.5
4.5
4.5
5.5
6.5
1. From the data collected above, calculate the following.
x̄ = _______
s = _______
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X ~ _____(____,___)
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Cumlative weight (%)
2
2
3
10
5
40
7
70
10
92
25
99.9
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Decibels
Safe Listening Time (hours)
Minutes
Decay Factor
90
8.000
480.000
95
4.000
240.000
100
2.000
120.000
105
1.000
60.000
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0.500
30.000
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15.000
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0.125
7.500
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0.063
3.750
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0.031
1.875
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0.016
0.938
140
0.008
0.469
145
0.004
0.234
150
0.002
0.117
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10.1
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9.4
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11.2
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Month
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Aug.
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47
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50
454.58 Nov.
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Feb.
Mar.
Apr.
May
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74
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- Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for the initial-value problem and then fill in the following tables. (Round your answers to four decimal places. Percentages may be rounded to two decimal places. Use the rounded values for subsequent calculations.) y' = y, y(0) = 1; y(1.0) y(x) = (explicit solution) h = 0.1 Actual Value Absolute % Rel. Error Error 0.00 1.0000 1.0000 0.0000 0.00 0.10 1.1025 1.1052 0.0027 0.24 0.20 1.2155 1.2214 0/0050 0.48 0.30 1.2401 1.3499 0.0008 0.73 0.40 1.4775 1.4918 0.0120 0.85 0.50 1.6290 1.6487 0.0197 1.19 0.60 1.7980 1.8221 0.0261 1,43 0.70 1.9801 2.0138 0.0337 1.67 0.80 2.1831 2.2255 0.0424 1.91 0.90 2.4069 2.4596 0.0527 2.14 1.00 2.7183arrow_forwardHW5 The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of ? What is the estimate of expected stem usage when the average temperature is 55 F? What change in mean stem usage is expected when the monthly average temperature changes by 1 F? Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. Test for significance of regression using α=0.01 (Use ANOVA).…arrow_forwardworm infestation, commonly found in children, can be treated with a drug that is effective in 92% of cases. Suppose that three children with pinworm infestation are en the drug. Complete parts (a) through (g) below. sfs 0.068 sff 0.006 fss 0.068 fsf 0.006 ffs 0.006 0.001 fff (Round to three decimal places as needed.) c. Draw a tree diagram for this problem. (Let s be a success and f be a failure.) Choose the correct tree diagram below. A. B. SSS ssf f sfs sff fss fsf ffs fff d. List the outcomes in which exactly two of the three children are cured. (Let s be a success and f be a failure.) (Use a comma to separate answers as needed.) View an exar Help me solve this y Policy | Copyright Correarrow_forward
- Observed time (minutes) 25.1 23.6 26.3 25.4 24.9 27 24.2 27.7 26.1 25.8 24.1 26.5 Given the following data, what is the standard time given that the pace rate is equal to 100 and the personal, delay and fatigue allowances total 11% over the normal time. Write your answer to 2 decimal places.arrow_forwardData 6 5.5 7.5 4.5 6.5 5 6 6.5 7 5.5 6 6.5 4.5 5 6.5 6.5 6.5 7.5 5.5 5.5 6 6 6 5.5 6.5 6.5 4.5 4.5 5.5 6.5 1. From the data collected above, calculate the following. x̄ = _______ s = _______ 2. Using your sample mean, sample standard deviation, and histogram, what was the approximate theoretical distribution of the data you collected? X ~ _____(____,___) How does this histogram help you arrive at the approximate distribution?arrow_forwardSize Cumlative weight (%) 2 2 3 10 5 40 7 70 10 92 25 99.9 Determine if this distribution is log normal.arrow_forward
- Decibels Safe Listening Time (hours) Minutes Decay Factor 90 8.000 480.000 95 4.000 240.000 100 2.000 120.000 105 1.000 60.000 110 0.500 30.000 115 0.250 15.000 120 0.125 7.500 125 0.063 3.750 130 0.031 1.875 135 0.016 0.938 140 0.008 0.469 145 0.004 0.234 150 0.002 0.117 Please find the decay factor.arrow_forwardDiagnostic Tests: Total Calcium U has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dL (Reference: A Manual of Laboratory and Diagnostic Tests by F. Fischbach). Recently, the patient's total calcium tests gave the following readings (in mg/dL): ver the past 9.3 8.8 10.1 8.9 9.4 9.8 10.0 9.9 11.2 12.1 ) Use a calculator to verify that = 9.95 and s ) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. L) Interpretation Based on your results in part (b), does it seem that this patient still has a calcium deficiency? Explain. 1.02.arrow_forwardFit an exponential curve of the form y = ab* to the following data: 3 1 2 4 5 6 4.7 7 y 1.0 1.2 1.8 2.5 3.6 6.6 9.1arrow_forward
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