.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

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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.

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
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
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