.Calculate and interpret a 95 % CI for the population regression coefficient on x1 b. The estimated standard deviation of the predicted y when x1 = 400 and x2 = .125 is .180 . Calculate a 95 % CI for true average roughness under these circumstances
.Calculate and interpret a 95 % CI for the population regression coefficient on x1 b. The estimated standard deviation of the predicted y when x1 = 400 and x2 = .125 is .180 . Calculate a 95 % CI for true average roughness under these circumstances
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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a.Calculate and interpret a 95 % CI for the population regression coefficient on x1
b. The estimated standard deviation of the predicted y when x1 = 400 and x2 = .125 is .180 . Calculate a 95 % CI for true average roughness under these circumstances.

Transcribed Image Text:The article "Optimization of Surface Roughness in Drilling Using Vegetable-
Based Cutting Oils Developed from Sunflower Oil" (Industrial Lubrication and
Tribology, 2011: 271-276) gave the following data on ₁ = spindle speed (rpm),
T₂ = feed rate (mm/rev), z3 = drilling depth (mm), and y = surface roughness (μm)
when a semisynthetic cutting fluid was used:
IL
320
320
320
420
420
420
520
520
520
22
.10
.12
.14
.10
.12
.14
.10
.12
.14
13
15
20
25
20
25
15
25
15
20
y
2.27
4.14
4.69
1.92
2.63
4.34
2.03
2.34
2.67
-1.32
1.08
0.26
-0.40
-0.79
0.99
1.64
0.03
-1.52
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Given data:
VIEWStep 2: Perform regression analysis and test whether the predictor variables are significant or not.
VIEWStep 3: Perform regression analysis with just x1 and x2 as predictors:
VIEWStep 4: Calculate and interpret a 95% CI for the population regression coefficient on x1
VIEWStep 5: Calculate a 95% CI for true average roughness under the given circumstances.
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