A magazine reported on a study of the reliability of a commercial kit to test for arsenic in groundwater. The field kit was used to test a sample of 20 groundwater wells in a country. In addition to the arsenic level (micrograms per liter), the latitude (degrees), longitude (degrees), and depth (feet) of each well was measured. Complete parts a through g. Well_ID Latitude Longitude Depth Arsenic 1 23.7675 90.6525 75 125 2 23.7866 90.6434 110 91 3 23.7661 90.6292 45 128 4 23.7847 90.6256 65 111 5 23.7849 90.6257 30 196 6 23.7687 90.6419 45 250 7 23.7704 90.6182 45 206 8 23.7702 90.6293 110 88 9 23.7686 90.6234 75 141 10 23.7892 90.6507 105 177 11 23.7665 90.6264 30 215 12 23.7839 90.6496 100 120 13 23.7922 90.6511 75 60 14 23.7835 90.6348 45 183 15 23.7796 90.6475 135 69 16 23.7717 90.6323 85 135 17 23.7914 90.6475 50 81 18 23.7759 90.6151 125 115 19 23.7871 90.6446 140 150 20 23.7946 90.6431 125 31 a. Write a first-order model for arsenic level (y) as a function of latitude, longitude, and depth. Choose the correct answer below. A. E(y)=β3+β2x1+β1x2+β0x3 B. E(y)=β0+β1x1+β2x2+β3x3 C. E(y)=β1x1+β2x2+β3x3 D. E(y)=β3x1+β2x2+β1
A magazine reported on a study of the reliability of a commercial kit to test for arsenic in groundwater. The field kit was used to test a sample of 20 groundwater wells in a country. In addition to the arsenic level (micrograms per liter), the latitude (degrees), longitude (degrees), and depth (feet) of each well was measured. Complete parts a through g. Well_ID Latitude Longitude Depth Arsenic 1 23.7675 90.6525 75 125 2 23.7866 90.6434 110 91 3 23.7661 90.6292 45 128 4 23.7847 90.6256 65 111 5 23.7849 90.6257 30 196 6 23.7687 90.6419 45 250 7 23.7704 90.6182 45 206 8 23.7702 90.6293 110 88 9 23.7686 90.6234 75 141 10 23.7892 90.6507 105 177 11 23.7665 90.6264 30 215 12 23.7839 90.6496 100 120 13 23.7922 90.6511 75 60 14 23.7835 90.6348 45 183 15 23.7796 90.6475 135 69 16 23.7717 90.6323 85 135 17 23.7914 90.6475 50 81 18 23.7759 90.6151 125 115 19 23.7871 90.6446 140 150 20 23.7946 90.6431 125 31 a. Write a first-order model for arsenic level (y) as a function of latitude, longitude, and depth. Choose the correct answer below. A. E(y)=β3+β2x1+β1x2+β0x3 B. E(y)=β0+β1x1+β2x2+β3x3 C. E(y)=β1x1+β2x2+β3x3 D. E(y)=β3x1+β2x2+β1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Question
A magazine reported on a study of the reliability of a commercial kit to test for arsenic in groundwater. The field kit was used to test a sample of
function of latitude, longitude, and depth. Choose the correct answer below.
A.
B.
C.
D.
20
groundwater wells in a country. In addition to the arsenic level (micrograms per liter), the latitude (degrees), longitude (degrees), and depth (feet) of each well was measured. Complete parts a through
g.
Well_ID Latitude Longitude Depth Arsenic
1 23.7675 90.6525 75 125
2 23.7866 90.6434 110 91
3 23.7661 90.6292 45 128
4 23.7847 90.6256 65 111
5 23.7849 90.6257 30 196
6 23.7687 90.6419 45 250
7 23.7704 90.6182 45 206
8 23.7702 90.6293 110 88
9 23.7686 90.6234 75 141
10 23.7892 90.6507 105 177
11 23.7665 90.6264 30 215
12 23.7839 90.6496 100 120
13 23.7922 90.6511 75 60
14 23.7835 90.6348 45 183
15 23.7796 90.6475 135 69
16 23.7717 90.6323 85 135
17 23.7914 90.6475 50 81
18 23.7759 90.6151 125 115
19 23.7871 90.6446 140 150
20 23.7946 90.6431 125 31
1 23.7675 90.6525 75 125
2 23.7866 90.6434 110 91
3 23.7661 90.6292 45 128
4 23.7847 90.6256 65 111
5 23.7849 90.6257 30 196
6 23.7687 90.6419 45 250
7 23.7704 90.6182 45 206
8 23.7702 90.6293 110 88
9 23.7686 90.6234 75 141
10 23.7892 90.6507 105 177
11 23.7665 90.6264 30 215
12 23.7839 90.6496 100 120
13 23.7922 90.6511 75 60
14 23.7835 90.6348 45 183
15 23.7796 90.6475 135 69
16 23.7717 90.6323 85 135
17 23.7914 90.6475 50 81
18 23.7759 90.6151 125 115
19 23.7871 90.6446 140 150
20 23.7946 90.6431 125 31
a.
Write a first-order model for arsenic level (y) as a E(y)=β3+β2x1+β1x2+β0x3
E(y)=β0+β1x1+β2x2+β3x3
E(y)=β1x1+β2x2+β3x3
E(y)=β3x1+β2x2+β1
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b.Fit the model to the data using the method of least squares. Let x1
be the latitudes,x2 be the longitudes, and x3 be the depths.y=enter your response here+enter your response herex1+enter your response herex2+enter your response herex3
(Round the constant term and the coefficients for x1 and x2 to the nearest integer as needed. Round the coefficient for x3 to the nearest hundredth as needed.)
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