The Tiliche Corp. analyst conducted 10 independent timing studies in the manual spray painting section of the finishing department. The product line under study revealed a direct relationship between spray painting time and product surface area. The following data were collected (ignore the rating factor): (image) To answer:(a) Find the linear model relating standard time (y) to surface area (x) using linear regression.b) How much time would you assign to spray painting a new part with a surface area of 250 in2?c) Obtain the fitted value of y and the corresponding residual for a particular assembly (study #3) with a surface area of 150 square inches.d) Perform a significance test of the regression using α= 0.05. Find the P-value for this test. What are your conclusions?e) Estimate the standard errors of the slope and the value of the intercept.f) Calculate the coefficient of determination R2 .g) Calculate the correlation coefficient r. Note:The exercise in the image is the original, it is in Spanish, but it is easy to understand. Note:ONLY ANSWER exercises d) e) f) g) 4. El analista de la Tiliche Corp. realizó 10 estudios de tiempos independientes en la sección depintura por aspersión manual del departamento de acabado. La línea de producto bajo estudioreveló una relación directa entre el tiempo de pintura por aspersión y el área de la superficie delproducto. Se recolectaron los siguientes datos (ignore el factor de calificación):Estudio núm.Factor de calificaci ón Área de la superficieTiempo estándar0.320.951701.00120.111.051500.310.80410.141.201300.271.000.85501200.180.2480.901.001.10701050.230.250.221095a) Encuentre el modelo lineal que relacione el tiempo estándar (y) con el área de la superficie(x) usando regresión lineal.b) ¿Cuánto tiempo asignaría a la pintura por aspersión de una parte nueva con un área desuperficie de 250 pulgadas2?c) Obtenga el valor ajustado de y y el residuo correspondiente para un ensamble en particular(estudio #3), con un área de 150 pulgadas cuadradas.d) Haga una prueba de significancia de la regresión usando a= 0.05. Encuentre el P-valuepara esta prueba. ¿Cuăles son sus conclusiones?e) Estime los errores estándar de la pendiente y del valor de la intersección.Calcule el coeficiente de deteminación R2.g) Calcule el coeficiente de correlación r.

Introduction: The response variable is the standard time, y, and the explanatory variable is the…

Answered: The Tiliche Corp. analyst conducted 10…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The Tiliche Corp. analyst conducted 10 independent timing studies in the manual spray painting section of the finishing department. The product line under study revealed a direct relationship between spray painting time and product surface area. The following data were collected (ignore the rating factor):

(image)

To answer:
(a) Find the linear model relating standard time (y) to surface area (x) using linear regression.

b) How much time would you assign to spray painting a new part with a surface area of 250 in2?

c) Obtain the fitted value of y and the corresponding residual for a particular assembly (study #3) with a surface area of 150 square inches.

d) Perform a significance test of the regression using α= 0.05. Find the P-value for this test. What are your conclusions?

e) Estimate the standard errors of the slope and the value of the intercept.

f) Calculate the coefficient of determination R2 .

g) Calculate the correlation coefficient r.

Note:

The exercise in the image is the original, it is in Spanish, but it is easy to understand.

Note:

ONLY ANSWER exercises d) e) f) g)