A new drug was tested on mice to determine its effectiveness in reducing cancerous tumors. Tests were run on 10 mice, each having a tumor of size 4 grams, by varying the amount of the drug used and then determining the resulting reduction in the weight of the tumor. The data were as follows: Tumor Weight Reduction 50 Coded Amount of Drug 1 2 3 4 90 1.20 1.35 1.50 1.60 5

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A new drug was tested on mice to determine its effectiveness in reducing cancerous tumors.
Tests were run on 10 mice, each having a tumor of size 4 grams, by varying the amount of the
drug used and then determining the resulting reduction in the weight of the tumor. The data were
as follows:
Coded Amount of Drug
Tumor Weight Reduction
50
1
2
90
3
1.20
4
1.35
5
1.50
1.60
1.53
1.38
7.
8
9
1.21
10
.65
Estimate the maximum expected tumor reduction and the amount of the drug that attains it by
fitting a quadratic regression equation of the form
Y = B, + B,x + B2x² + e
%3D
Transcribed Image Text:A new drug was tested on mice to determine its effectiveness in reducing cancerous tumors. Tests were run on 10 mice, each having a tumor of size 4 grams, by varying the amount of the drug used and then determining the resulting reduction in the weight of the tumor. The data were as follows: Coded Amount of Drug Tumor Weight Reduction 50 1 2 90 3 1.20 4 1.35 5 1.50 1.60 1.53 1.38 7. 8 9 1.21 10 .65 Estimate the maximum expected tumor reduction and the amount of the drug that attains it by fitting a quadratic regression equation of the form Y = B, + B,x + B2x² + e %3D
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