An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content andLevel of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15, pp. 125-144) studied the deflection (mm) of particleboard fromstress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The dataare shown belowx = Stress level (%)545461616868757575y = Deflection (mm) 16.473 18.693 14.30515.121 13.505 11.64 11.168 12.534 11.224a. Calculate the least square estimates of the intercept (a) and slope (b). What is the estimate of o² (c)?b. Find the estimate of the mean deflection if the stress level can be limited to 66% (d).c. Estimate the change in the mean deflection associated with a 6% increment in stress level (e).(a) i(Round your answer to 2 decimal places.)(b) i(Round your answer to 3 decimal places.)(c) i(Round your answer to 3 decimal places.)(d)i(Round your answer to 2 decimal places.)(e) 1(Round your answer to 3 decimal places.)

x y xy x2 54 16.473 889.542 2916 54 18.693 1009.422 2916 61 14.305 872.605 3721 61 15.121…

Answered: a. Calculate the least square estimates…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.CR: Chapter 1 Review

Problem 86CR

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An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content and Level of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15, pp. 125-144) studied the deflection (mm) of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data are shown below. x- Stress level (%) 54 75 54 61 61 68 68 75 75 y- Deflection (mm) | 16.476 18.694 14.307 15.123 13.506 11.640 11.169 12.536 11.226 (a) Test for significance of regression usinga = 0.01. (b) Estimate to 3 decimal places the standard errors of the intercept and slope. se( ß o) = se( B 1) = i
An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content and Level of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15, pp. 125-144) studied the deflection (mm) of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data are shown below x= Stress level (%) 54 54 61 61 68 68 75 75 75 y = Deflection (mm) 16.473 18.693 14.305 15.121 13.505 11.64 11.168 12.534 11.224 a. Calculate the least square estimates of the intercept (a) and slope (b). What is the estimate of o (c)? b. Find the estimate of the mean deflection if the stress level can be limited to 66% (d). C. Estimate the change in the mean deflection associated with a 5% increment in stress level (e). (a) i 32.05 (Round your answer to 2 decimal places.) (b) i ! (Round your answer to 3 decimal places.) (Round your answer to 3 decimal places.) i (d) i…
An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content and Level of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15, pp. 125-144) studied the deflection (mm) of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data are shown below x = Stress level (%) 54 54 61 61 68 68 75 75 75 y = Deflection (mm) 16.473 18.693 14.305 15.121 13.505 11.64 11.168 12.534 11.224 a. Calculate the least square estimates of the intercept (a) and slope (b). What is the estimate of o?(c)? b. Find the estimate of the mean deflection if the stress level can be limited to 69% (d). c. Estimate the change in the mean deflection associated with a 9% increment in stress level (e). (a) i (Round your answer to 2 decimal places.) (b) i (Round your answer to 3 decimal places.) (c) i (Round your answer to 3 decimal places.) (d) i (Round…
An article in Wood Science and Technology, "Creep in Chipboard, Part 3: Initial Assessment of the lInfluence of Moisture Content and Level of Stressing on Rate of Creep and Time to Failure" (1981, Vol. 15. pp. 125-144) studied the deflection (mm) of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data are shown below x = Stress level (%) 54 54 61 61 68 68 75 75 75 y = Deflection (mm) 16.473 18.693 14.305 15.121 13.505 11.64 11.168 12.534 11.224 a. Calculate the least square estimates of the intercept (a) and slope (b). What is the estimate of o (c)? b. Find the estimate of the mean deflection if the stress level can be limited to 69% (d). c. Estimate the change in the mean deflection associated with a 8% increment in stress level (e). (a) 1.118 (Round your answer to 2 decimal places.) (b) i 12.936 (Round your answer to 3 decimal places.) (c) -2.216 (Round your answer to 3 decimal…
(a) Calculate the least square estimates of the slope and intercept. What is the estimate of a?? Round your answers to 3 decimal places. P = 1 (b) Find the estimate of the mean deflection if the stress level can be limited to 72%. Round your answer to 2 decimal places. (c) Estimate the change in the mean deflection associated with a 4% increment in stress level. Round your answer to 2 decimal places. (d) To decrease the mean deflection by 1.2 millimeters, how much increase in stress level must be generated? Round your answer to 2 decimal places. (e) Given that the stress level is 68%, find the fitted value of deflection and the corresponding residuals. Round your answers to 2 decimal places. Fitted value = i Residuals (enter in ascending order of value):i

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