(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
(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
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
Related questions
Question
Transcribed Image Text:(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
Transcribed Image Text: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 Time to Fallure" Vol. 15, 1981, pp. 125-144) describes the results of a study of 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:
Stress level (%) Deflection (mm)
54
16.473
54
18.693
61
14.305
61
15.121
68
13.505
68
11.640
75
11.168
75
12.534
75
11.224
Minitab was used to fit a regression equation to the above data set. The results follow.
Predictor
Coef SE Coef
T P
Constant
32.049
2.885 11.11 0.000
Stress level -0.27712 0.04361 -6.35 0.000
S= 1.05743, R-Sq = 85.2%, R-Sq(adj) = 83.1%
Analysis of Variance
F P
Source
DF
MS
Regression
1 45.154 45.154 40.38 0.000
Residual Error
7 7.827
1.118
Total
8 52.981
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