Homework Help is Here – Start Your Trial Now!
Math
Statistics
The article "Optimization of Surface Roughness in Drilling Using Vegetable-Based Cutting Oils Developed from Sunflower Oil+ gave the following data on x₂ = spindle speed (rpm), x₂ = feed rate (mm/rev), x = drilling depth (mm), and y = surface roughness (um) when a semisynthetic c fluid was used. X1 X2 x3 e* y 320 0.10 15 2.27 -1.32 320 0.12 20 4.14 1.08 320 0.14 25 4.69 0.26 1 420 0.10 20 1.92 -0.40 420 0.12 25 2.63 -0.79 4.34 0.99 420 0.14 15 520 0.10 25 2.03 1.64 520 0.12 15 2.34 0.03 520 0.14 20 2.67 -1.52 (a) Here is partial Minitab output from fitting the model with x₁, x₂, and x3 as predictors (authors of the cited article used Minitab for this purpose). SE Coef 1.871 0.002231 11.16 0.04463 0.546589 R-Sq 83.9% R-Sq(adj) Predictor Constant O Ho: P3-0 H₂: 8₂ 50 ⒸH: 83-0 *1 x₂ x₂ s Does drilling depth provide useful information about roughness given that spindle speed and feed rate remain in the model? (Use a = 0.05.) State the appropriate hypotheses. O Ho: P3=0 H₂: P₂ <0 ⒸHg: 13=0 Coef 0.099 -0.006767 45.67 0.01333 State the appropriate test statistic and P-value from the output above. to P-value= T P 0.05 0.960 -3.03 0.029 4.09 0.009 0.30 0.777 74.2% State the conclusion in the problem context. O Reject H. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Reject H. Drilling depth appears to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Fail to reject Ho. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model.

The article "Optimization of Surface Roughness in Drilling Using Vegetable-Based Cutting Oils Developed from Sunflower Oil+ gave the following data on x₂ = spindle speed (rpm), x₂ = feed rate (mm/rev), x = drilling depth (mm), and y = surface roughness (um) when a semisynthetic c fluid was used. X1 X2 x3 e* y 320 0.10 15 2.27 -1.32 320 0.12 20 4.14 1.08 320 0.14 25 4.69 0.26 1 420 0.10 20 1.92 -0.40 420 0.12 25 2.63 -0.79 4.34 0.99 420 0.14 15 520 0.10 25 2.03 1.64 520 0.12 15 2.34 0.03 520 0.14 20 2.67 -1.52 (a) Here is partial Minitab output from fitting the model with x₁, x₂, and x3 as predictors (authors of the cited article used Minitab for this purpose). SE Coef 1.871 0.002231 11.16 0.04463 0.546589 R-Sq 83.9% R-Sq(adj) Predictor Constant O Ho: P3-0 H₂: 8₂ 50 ⒸH: 83-0 *1 x₂ x₂ s Does drilling depth provide useful information about roughness given that spindle speed and feed rate remain in the model? (Use a = 0.05.) State the appropriate hypotheses. O Ho: P3=0 H₂: P₂ <0 ⒸHg: 13=0 Coef 0.099 -0.006767 45.67 0.01333 State the appropriate test statistic and P-value from the output above. to P-value= T P 0.05 0.960 -3.03 0.029 4.09 0.009 0.30 0.777 74.2% State the conclusion in the problem context. O Reject H. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Reject H. Drilling depth appears to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Fail to reject Ho. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The article "Optimization of Surface Roughness in Drilling Using Vegetable-Based Cutting Oils Developed from Sunflower Oil" + gave the following data on x₂ = spindle speed (rpm), x₂ = feed rate (mm/rev), x3 = drilling depth (mm), and y = surface roughness (μm) when a semisynthetic cutting fluid was used. e* X1 X2 x3 y 320 0.10 15 2.27 -1.32 320 0.12 20 4.14 1.08 320 0.14 25 4.69 0.26 420 0.10 20 1.92 -0.40 420 0.12 25 2.63 -0.79 420 0.14 15 4.34 0.99 520 0.10 25 2.03 1.64 520 0.12 15 2.34 0.03 520 0.14 20 2.67 -1.52 (a) Here is partial Minitab output from fitting the model with x₁, x₂, and x3 as predictors (authors of the cited article used Minitab for this purpose). Coef 0.099 -0.006767 45.67 SE Coef 1.871 0.002231 11.16 0.04463 T P 0.05 0.960 -3.03 0.029 4.09 0.009 0.01333 0.30 0.777 0.546589 R-Sq 83.9% R-Sq (adj) - 74.2% Does drilling depth provide useful information about roughness given that spindle speed and feed rate remain in the model? (Use a = 0.05.) State the appropriate hypotheses. OHO: B3 = 0 Ha: P3 <0 Predictor Constant x₁ x₂ x₂ $ Ho: P3 = 0 Ha: P3>0 O Ho: P3=0 H₂:03 ≤0 O Ho: P3 = 0 Ha: P3" State the appropriate test statistic and P-value from the output above. t = P-value= #0 State the conclusion in the problem context. O Reject H. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Reject H. Drilling depth appears to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Fail to reject Ho. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Fail to reject Ho. Drilling depth appears to provide useful information about roughness, given that spindle speed and feed rate remain in the model.
Transcribed Image Text:The article "Optimization of Surface Roughness in Drilling Using Vegetable-Based Cutting Oils Developed from Sunflower Oil" + gave the following data on x₂ = spindle speed (rpm), x₂ = feed rate (mm/rev), x3 = drilling depth (mm), and y = surface roughness (μm) when a semisynthetic cutting fluid was used. e* X1 X2 x3 y 320 0.10 15 2.27 -1.32 320 0.12 20 4.14 1.08 320 0.14 25 4.69 0.26 420 0.10 20 1.92 -0.40 420 0.12 25 2.63 -0.79 420 0.14 15 4.34 0.99 520 0.10 25 2.03 1.64 520 0.12 15 2.34 0.03 520 0.14 20 2.67 -1.52 (a) Here is partial Minitab output from fitting the model with x₁, x₂, and x3 as predictors (authors of the cited article used Minitab for this purpose). Coef 0.099 -0.006767 45.67 SE Coef 1.871 0.002231 11.16 0.04463 T P 0.05 0.960 -3.03 0.029 4.09 0.009 0.01333 0.30 0.777 0.546589 R-Sq 83.9% R-Sq (adj) - 74.2% Does drilling depth provide useful information about roughness given that spindle speed and feed rate remain in the model? (Use a = 0.05.) State the appropriate hypotheses. OHO: B3 = 0 Ha: P3 <0 Predictor Constant x₁ x₂ x₂ $ Ho: P3 = 0 Ha: P3>0 O Ho: P3=0 H₂:03 ≤0 O Ho: P3 = 0 Ha: P3" State the appropriate test statistic and P-value from the output above. t = P-value= #0 State the conclusion in the problem context. O Reject H. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Reject H. Drilling depth appears to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Fail to reject Ho. Drilling depth does not appear to provide useful information about roughness, given that spindle speed and feed rate remain in the model. O Fail to reject Ho. Drilling depth appears to provide useful information about roughness, given that spindle speed and feed rate remain in the model.
Expert Solution
steps

Step by step

Solved in 3 steps with 22 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS