Solved: The article “The Ball-on-Three-Ball Test for
Chapter 8, Problem 20SE(choose chapter or problem)
The article “The Ball-on-Three-Ball Test for Tensile Strength: Refined Methodology and Results for Three Hohokam Ceramic Types” (M. Beck, American Antiquity, 2002:558–569) discusses the strength of ancient ceramics. The following table presents measured weights (in g), thicknesses (in mm), and loads (in kg) required to crack the specimen for a collection of specimens dated between A.D. 1100 and 1300 from the Middle Gila River, in Arizona.
Weight \(x_1\) |
Thickness \(x_2\) |
Load \((y)\) |
20 |
||
16 |
||
20 |
||
36 |
||
27 |
||
35 |
||
15 |
||
18 |
||
24 |
||
21 |
||
30 |
||
20 |
||
24 |
||
23 |
||
21 |
||
13 |
||
21 |
a. Fit the model \(y=\beta_0+\beta_1x_1+\beta_2x_2+\varepsilon\).
b. Drop the variable whose coefficient has the larger -value, and refit.
c. Plot the residuals versus the fitted values from the model in part (b). Are there any indications that the model is not appropriate?
Equation Transcription:
Text Transcription:
(x_1)
(x_2)
(y)
y=beta_0+beta_1x_1+beta_2x_2+varepsilon
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