The accompanying Minitab regression output is based on data that appeared in the article "Application of Design of Experiments for Modeling Surface Roughness in Ultrasonic Vibration Turning."t The response variable is surface roughness (um), and the independent variables are vibration amplitude (um), depth of cut (mm), feed rate (mm/rev), and cutting speed(m/min), respectively.The regression equation isRa = -0.972 - 0.0312a + 0.557d + 18.3f + 0.00282vPredictorCoefSE CoefPConstant-0.97230.3923-2.480.015a-0.031170.01864-1.670.099d.0.55680.31851.750.08418.26020.002822R-Sq = 88.6%f0.753624.230.0000.0039770.710.480S = 0.822059R-Sq (adj) = 88.0%SourceDSMSRegression4401.02100.25148.350.000Residual Error7651.360.68Total80452.38 (d) Interpret the number 18.2602 that appears in the Coef column.O This is the coefficient on v, after adjusting for the effects of the other variables, a 1 m/min increase in cutting speed is associated with an estimated decrease of 18.2602 um in expected surface roughness.O This is the coefficient on d, after adjusting for the effects of the other variables, a 1 mm increase in depth of cut is associated with an estimated increase of 18.2602 um in expected surface roughness.O This is the coefficient of the constant, after adjusting for the effects of the other variables, a 1 µm increase in feed rate is associated with an estimated increase of 18.2602 pm in expected surface roughness.O This is the coefficient on a, after adjusting for the effects of the other variables, a 1 µm increasevibration amplitude is associated with an estimated decrease of 18.2602 um in expected surface roughness.O This is the coefficient on f, after adjusting for the effects of the other variables, a 1 mm/rev increase in feed rateassociated with an estimated increase of 18.2602 um in expected surface roughness.(e) At significance level 0.10, can any single one of the predictors be eliminated from the model provided that all of the other predictors are retained? (Select all that apply.)O vibration amplitudeO depth of cutO feed rateO cutting speedO surface roughness(f) The estimated SD of Y when the values of the four predictors are 10, 0.5, 0.25, and 50, respectively, is 0.1174. Calculate both a 95% CI for true average roughness and a 95% PI for the roughness of a single specimen. (Round your answers to two decimal places.)confidence intervalUmprediction interval|UmCompare these two intervals.O The prediction interval is the same width as the confidence interval.O The prediction interval is much wider than the the confidence interval.O The prediction interval is much narrower than the the confidence interval.

Given information: The MINITAB output for multiple linear regression is given.

Answered: The accompanying Minitab regression…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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