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

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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
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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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