11.10 Refer to Exercise 11.9. Create R output and answer the questions instead of using minitab output)a. Find the least-squares estimates of the slope and intercept in the output.b. What does the sign of the slope indicate about the relation between the speed ofthe drill and bit lifetime?c. Compute the residual standard deviation. What does this value indicate about thefitted regression line? 11.9 A manufacturer of cases for sound equipment requires that holes be drilled for metalscrews. The drill bits wear out and must be replaced; there is expense not only in the cost ofthe bits but also in the cost of lost production. Engineers varied the rotation speed of the drilland measured the lifetime y (thousands of holes drilled) of four bits at each of five speeds x.The data were:6060606080808080100100y4.63.84.94.54.75.85.55.45.04.5100100120120120120140140140140y3.24.84.14.54.03.83.63.03.53.4a. Create a scatterplot of the data. Does there appear to be a relation? Does itappear to be linear?b. Is there any evident outlier? If so, does it have high influence? 11.10 Refer to Exercise 11.9.Regression Analysis: Lifetime versus DrillspeedThe regression equation isLifetime = 6.03 - 0.0170 DrillspeedPredictorCoefSE CoefTPConstant6.03000.519511.610.000Drillspeed -0.0170000.004999-3.400.003S = 0.632368R-Sq = 39.1%R-sq (adj) = 35.7%Analysis of VarianceSourceDFMSFPRegression4.62404.624011.560.003Residual Error187.19800.3999Total1911.8220Unusual ObservationsSE Fit0.245Obs Drillspeed LifeTimeFitResidualst Resid2603.8005.010-1.210-2.08RR denotes an observation with a large standardized residual.a. Find the least-squares estimates of the slope and intercept in the output.b. What does the sign of the slope indicate about the relation between the speed ofthe drill and bit lifetime?c. Compute the residual standard deviation. What does this value indicate about thefitted regression line?

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11.10 Refer to Exercise 11.9. Create R output and answer the questions instead of using minitab output) a. Find the least-squares estimates of the slope and intercept in the output. b. What does the sign of the slope indicate about the relation between the speed of the drill and bit lifetime? c. Compute the residual standard deviation. What does this value indicate about the fitted regression line?

11.10 Refer to Exercise 11.9. Create R output and answer the questions instead of using minitab output) a. Find the least-squares estimates of the slope and intercept in the output. b. What does the sign of the slope indicate about the relation between the speed of the drill and bit lifetime? c. Compute the residual standard deviation. What does this value indicate about the fitted regression line?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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